The correct option is C. find the real range, find the interval width, and construct the frequency distribution.
What is frequency distribution?To make the information easier to understand, frequency distributions are textured look which organise and present frequency counts. Absolute frequencies as well as frequency distributions, such as percentages or ratios, can be displayed in frequency distributions.
The real range is find by the following method-
Range is referred to as the difference between both the lower limit of the minimal interval and the upper limit of the maximal interval of the grouped data in the case of a continuous frequency distribution. That is true for the following ranges for X: 0–10, 10–20, 20–30, and 40–50; 4–0=40.The interval width is find by the following method-
The distance between both the lowest endpoint of one interval as well as the lowest endpoint of the following interval is known as the class interval width. Therefore, if the continuous intervals in our study range 0 to 4, 5 through 9, etc., the very first five intervals' widths are 5 and the final interval is open because no larger endpoints is allocated to it.To know more about the frequency distribution table, here
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The correct question is-
The three steps for constructing a simple frequency distribution are -
Group of answer choices
A. find the observed range, find the interval width, and construct the frequency distribution
B. find the real range, count the scores, and construct the frequency distribution
C. find the real range, find the interval width, and construct the frequency distribution
D. all of the above
Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
The equations which are true for the values of x given are; x²-4 =0 and 4x²= 16.
Which equations are true for the values of x?The values of x given according to the task content are; x = –2 and x = 2.
By considering equation; x²-4 =0
x² = 4
x = ±2
Also, by considering 4x²= 16;
x² = 16/4 = 4
x = ±4.
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If you can please explain how you got your answer so I can understand, Thank you!
Answer:
3 2/5
Step-by-step explanation:
Each slash/mark on the number line is 1/5, meaning that 6 marks away is 3 2/5.
To further explain how I know each mark is 1/5, each question had a denominator of 5, and if you count each mark from 2 1/5 (2 2/5, 2 3/5, 2 4/5, 3, etc) you will eventually land on 4 evenly.
Can someone help me with this having trouble !
Answer:
B. The coefficient of the second term is -5.
and
D. The coefficient of the fourth term is -10.
Step-by-step explanation:
The coefficient is the number being multiplied by a variable.
Hope this helps!
Answer:
Tick:
- the coefficient of the second term is -5
- the coefficient of the fourth term is -10
Explanation:
The coefficient of an expression is simply the number placed before and multiplying the variable (e.g. 10x ; the coefficient is 10, the variable is x)
Hope this makes sense. Feel free to inquire further if need be!
- profparis
help pls im so confused
10(1^2*2^-2)
Answer:
2.5(or 5/2 or 2 1/2)
Step-by-step explanation:
Remember PEMDAS
10 * (1^2 * 2^-2)
10 * (1 * 0.25)
10 * 0.25 =
2.5
please help me it is a fairly easy problem
Answer:
a=5
b=6
c=3
d=4
surface area: 105.24
Answer:
Area of the right triangular prism = 84 cm²
Step-by-step explanation:
A is the width of the right side rectangle = 4 cm
B is the length of the rectangle = 6 cm
C is the base of the triangle = 3 cm
D is width of the middle rectangle = 5 cm
b) Area of rectangle = length *width
[tex]\sf Area \ of \ triangle = \dfrac{1}{2}*base *height\\\\Area of 2 triangles = 2 *\dfrac{1}{2}*base * height = base * height[/tex]
Surface area of the right triangular prism = area of 2 triangle + area of left rectangle + area of middle rectangle + area of right rectangle
= 3 * 4 + 3*6 + 5 * 6 + 4 *6
= 12 + 18 + 30 + 24
= 84 cm²
Point A is located in which quadrant?
IV
III
I
II
Answer:
Quadrant II
Step-by-step explanation:
This is because the top right is I, the top left
is II, the bottom left is III, and the bottom right is IV.
When you roll two number cubes, what are the odds in simplest form against getting two numbers greater than 4?
A. 4:1
B. 1:4
C. 1:8
D. 8:1
The odds in simplest form against getting two numbers greater than 4 is 1 : 4.
What are the odds?Probability determines the odds that a random event would happen. The odds the event occurs is 1 and the probability that the event does not occur is 0.
The odds of getting two numbers greater than 4 = 2 x (numbers greater than 3 in a cube / total number of sides in a cube)
2(3/6)
2 x 1/2 = 1 : 4
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PLS HELP WITH THIS AND SHOW WORK SHOW WORK
Answer:
option 3
Step-by-step explanation:
6x + 3x² - 4x ← collect like terms
= 6x - 4x + 3x²
= x(6 - 4) + 3x²
= x(2) + 3x²
= 2x + 3x²
Answer:
Option 3: [tex]2x+3x^{2}[/tex]
Step-by-step explanation:
Combine like terms: [tex]6x-4x=2x[/tex]
Put the equation together: [tex]2x+3x^{2}[/tex]
The correct answer option is Option 3: [tex]2x+3x^{2}[/tex].
Francisco's credit card has an APR of 13%, calculated on the previous
monthly balance, and a minimum payment of 2%, starting the month after the
first purchase. His credit card record for the last 7 months is shown in the
table below.
A.609.87
B.45.52
C.330.35
D.279.53
The amount of the $5200 charge that Francisco made during the first month has been paid off will be $279.53 based on the APR.
What is APR?Annual percentage rate (APR) refers to the yearly interest generated by a sum that's charged to borrowers or paid to investors
For credit cards, the interest rates are typically stated as a yearly rate. This is called the annual percentage rate.
The amount of the $5200 charge that Francisco made during the first month has been paid off will be the total of the principal paid which is:
Principal paid = $47.67+$47.23+$46.80+$46.37+$45.94+$45.52
=$279.53
Therefore, the amount of the $5200 charge that Francisco made during the first month has been paid off will be $279.53.
In conclusion, the correct option is D.
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Complete question:
How much of the amount of the $5200 charge has Francisco paid off in the first month?
The coordinates of a quadrilateral are (2,1), (-1,3), (-5,-3), and (-2,-5).
The quadrilateral is a because are parallel and since the product of the slopes of both pairs of segments is -1,
The quadrilateral is a parallelogram because both pairs of opposite sides are parallel and since the product of the slopes of both pairs of adjacent segments is -1, the quadrilateral is a rectangle
Answer:
The guy above is somewhat right.
Hope this helps!
Step-by-step explanation:
The quadrilateral is a rectangle.
The graph of y = f(x) is graphed below. Wat is the end behavior of f(x)?
PLEASE ASAP
Answer:
B.) as x --> -∞, f(x) --> ∞ and x --> ∞, f(x) --> ∞
Step-by-step explanation:
F(x) is another way of representing "y". That being said, the question is asking you the behavior of the graph in terms of the y-axis. On both sides of the function, there is an arrow pointing upwards, towards infinite, positive y-values. Therefore, as "x" approaches -∞ and ∞, f(x) is approaching ∞ (positive infinity).
Having trouble can someone help me solve this
The function f(x) is vertically compressed to form g(x)
How to compare both functions?The functions are given as
f(x) =x^2
g(x) =3x^2
Substitute f(x) =x^2 in g(x) =3x^2
g(x) =3f(x)
This means that the function f(x) is vertically compressed to form g(x)
See attachment for the function g(x)
Also, both functions have the same domain and range
The complete table is:
x -2 -1 0 1 2
g(x) 12 3 0 3 12
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ind the hypotenuse of the following triangle. [2]
This is a RIGHT ANGLE triangle!
c2 =a2 +b2
that's the rule
for example
c2=5^2+5^2
c2=25+25
c2=50 square root is
c=7.07^2
A worker at a shoe factory is required to box at least
8
pairs of shoes per minute, but is not allowed to box more than
12
pairs of shoes per minute. According to this information, what is a possible amount of time, in minutes, that it could take the worker to box
168
pairs of shoes?
The possible amount of time, in minutes, that it could take the worker to box 168 pairs of shoes is between 14 minutes to 21 minutes.
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
A worker at a shoe factory is required to box at least 8 pairs of shoes per minute, and not more than 12 pairs of shoes per minute.
For 168 pairs of shoe:
Maximum time = 168 pair / 8 pairs per minute = 21 minutes
Minimum time = 168 pair / 12 pairs per minute = 14 minutes
The possible amount of time, in minutes, that it could take the worker to box 168 pairs of shoes is between 14 minutes to 21 minutes.
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Determine the slope of a line that is perpendicular to a line with coordinates (4, -2) and (-1, 3).
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the line above
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{4}}} \implies \cfrac{3 +2}{-1 -4}\implies \cfrac{5}{-5}\implies \cfrac{1}{-1}\implies -1 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{-1}} ~\hfill \stackrel{reciprocal}{\cfrac{-1}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{-1}{1}\implies 1}}[/tex]
choose the equation that satisfies the data in the table
Answer:
B is the answer
Step-by-step explanation:
Visual Description for Figure 1
Blue points, blue line segments, red points, and red line segments arranged on a Cartesian coordinate plane. Here are the blue points and their coordinates. Point A: (negative nine, 3). Point B: (negative 11, 3). Point C: (negative 10, 3). Point D: (negative 10, 5). Point F: (negative 10, 4). Point E: (negative 11, 4). Here are the red points and their coordinates. Point A-1: (negative 1, 6). Point A-2: (negative 3, 4). Point B-1: (negative 2, 4). Point B-2: (negative 5, 4). Point C-2: (negative 3, 3). Point D-1: (negative 5, 5). Point D-2: (negative 5, 3). Point E-1: (negative 6, 6). Point F-1: (negative 5, 6). A semicircle that lies below its line of symmetry AB. A semicircle that lies above its line of symmetry B-2 A-2. A triangle DEF. A triangle D-1 E-1 F-1. Line segments are drawn from C to D, from A-1 to B-1, from A-2 to B-2, and from C-2 to D-2. Triangle DEF, segment CD, and the semicircle with line of symmetry BA are arranged so that they look like a boat.
1. What transformations would you use on the blue segment CD to get it to match with the red segment C2D2? Explain your movement using the coordinates of the vertices.
2.
What transformations would you use on the blue triangle to get it to match with the red triangle? Explain your movement using the coordinates of the vertices.
3.
Which line segments on the boat are parallel? Explain your answer.
4.
Which line segments on the boat are perpendicular? Explain your answer.
5.
Which line segments on the boat have a slope of 0? Explain your answer.
6.
Which line segments on the boat have an undefined slope? Explain your answer.
7.
What is the slope of ED? Explain your answer using the change in coordinates given that E is at (−11,4) and D is at (−10,5).
The slope in question seven is 1. Below are the solutions to the remaining questions
In what means can Transformation occur ?Transformation of an object can occur in different ways. Such as translation, rotation, enlargement of different scale factors, reflection and dilation.
Given that Blue points, blue line segments, red points, and red line segments arranged on a Cartesian coordinate plane. Here are the blue points and their coordinates. Point A: (negative nine, 3). Point B: (negative 11, 3). Point C: (negative 10, 3). Point D: (negative 10, 5). Point F: (negative 10, 4). Point E: (negative 11, 4). Here are the red points and their coordinates. Point A-1: (negative 1, 6). Point A-2: (negative 3, 4). Point B-1: (negative 2, 4). Point B-2: (negative 5, 4). Point C-2: (negative 3, 3). Point D-1: (negative 5, 5). Point D-2: (negative 5, 3). Point E-1: (negative 6, 6). Point F-1: (negative 5, 6). A semicircle that lies below its line of symmetry AB. A semicircle that lies above its line of symmetry B-2 A-2. A triangle DEF. A triangle D-1 E-1 F-1. Line segments are drawn from C to D, from A-1 to B-1, from A-2 to B-2, and from C-2 to D-2. Triangle DEF, segment CD, and the semicircle with line of symmetry BA are arranged so that they look like a boat.
1. The transformations to use on the blue segment CD to get it to match with the red segment C2D2 is ROTATION of 180° Clockwise
2.The transformations to use on the blue triangle to get it to match with the red triangle is ROTATION of 360° Clockwise Explain your movement using the coordinates of the vertices.
3.The line segments on the boat that is parallel is line B2 to A2 because it is parallel to line D2 to C2
4.The line segments on the boat is perpendicular is line BCA because they are perpendicular to line CFD and AB.
5.The line segments on the boat have a slope of 0 is line BCA because change in y axis is 0
6.The line segments on the boat have an undefined slope is line DFC because change in x axis is 0. When denominator is zero, the fraction is undefined.
7.Given that E is at (−11,4) and D is at (−10,5), the slope of ED will be
Slope = Δy ÷ Δx
Slope = (5 - 4) ÷ (-10 + 11)
Slope = 1 ÷ 1
Slope = 1
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if there are 30 items to vote on in the local election, 240 people will choose to vote. For every batch of 3 items added to the ballot, 10 fewer people will vote. If all people who vote cast votes on every item, how many items should be placed on the ballot to maximize the total number of votes cast on all items
2 items should be placed on the ballot to maximize the total number of votes cast on all items.
According to the statement
items on which people vote = 30
people who will vote = 240
batch containing items = 3
number of batches formed = 10
now we find the number of items placed on ballot to maximize the number of votes.
we find the average number by each items got the vote.
Average = items in batch / total votes
Average = 3/240
but if we add 2 items in the ballot then average become half.
So, 2 items should be placed on the ballot to maximize the total number of votes cast on all items.
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Carson buys eggs and lemons at the store. he pays a total of $39.62. he pays $6.74 for the eggs. he buys 8 bags of lemons that each cost the same amount.
The algebraic equation is used to determine the costs of each bag of lemons is 8x = $39.62 - $6.74
According to the question,
Cost of 1 bag of lemons = $x
Cost of 8 bags of lemons = 8*x = 8x
Cost of 8 bags of lemons = Total cost - cost of the egg
8x = $39.62 - $6.74
Hence, the algebraic equation is used to determine the costs of each bag of lemons is 8x = $39.62 - $6.74.
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Help please, will give brainliest
Answer: The answer is D
Step-by-step explanation:
Find the circumference of a circle with diameter, d = 8.92m. give your answer rounded to 2 dp.
Answer:
Step-by-step explanation:
circumference is 2πr
r=d/2
r=4.46m
C=2π(4.46)=28.02
16. c= vλ. If c = 2.998 x 10^8 m/s, v= 4.41 x 10¹4 s-¹; find a value for λ.
Answer:
6.80 x 10⁻⁷ m
Step-by-step explanation:
You can find the value of λ by inserting the given values into the equation and simplifying.
c = vλ <----- Given equation
2.998 x 10⁸ m/s = (4.41 x 10¹⁴ s⁻¹)λ <----- Insert values
6.80 x 10⁻⁷ m = λ <----- Divide both sides by 4.41 x 10¹⁴
State the conditions required for a random variable x to follow a poisson process.
The conditions required for a random variable X to follow a Poisson process. The probability of success is the sme for aany two intervals of equal length. The probability of two or more successes in any sufficiently small subinterval is 0.
Is the time required to upload a file to the Internet discrete or continuous?Is the length of time it takes to download a file from the Internet a random variable, a continuous random variable, or not at all? A continuous random variable, that is.Is the a discrete random variable a continuous random variable or not a random variable?A variable whose value is determined by counting is referred to as a discrete variable. A continuous variable is one whose value may be determined through measurement. A random variable is a variable whose value is the resultant number of an unpredictable event. There are a countable number of potential values for the discrete random variable X.How do you determine whether the random variable is discrete or continuous?A discrete variable is one that is random. if the number of possible values is either countable or finite. Continuous refers to a variable that is random. if the range of possible values includes all conceivable numbers.
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Please look at the picture, I need help ASAP.
See below for the proof that the areas of the lune and the isosceles triangle are equal
How to prove the areas?The area of the isosceles triangle is:
[tex]A_1 = \frac 12r^2\sin(\theta)[/tex]
Where r represents the radius.
From the figure, we have:
[tex]\theta = 90[/tex]
So, the equation becomes
[tex]A_1 = \frac 12r^2\sin(90)[/tex]
Evaluate
[tex]A_1 = \frac 12r^2[/tex]
Next, we calculate the length (L) of the chord as follows:
[tex]\sin(45) = \frac{\frac 12L}{r}[/tex]
Multiply both sides by r
[tex]r\sin(45) = \frac 12L[/tex]
Multiply by 2
[tex]L = 2r\sin(45)[/tex]
This gives
[tex]L = 2r\times \frac{\sqrt 2}{2}[/tex]
[tex]L = r\sqrt 2[/tex]
The area of the semicircle is then calculated as:
[tex]A_2 = \frac 12 \pi (\frac{L}{2})^2[/tex]
This gives
[tex]A_2 = \frac 12 \pi (\frac{r\sqrt 2}{2})^2[/tex]
Evaluate the square
[tex]A_2 = \frac 12 \pi (\frac{2r^2}{4})[/tex]
Divide
[tex]A_2 = \frac{\pi r^2}{4}[/tex]
Next, calculate the area of the chord using
[tex]A_3 = \frac 12r^2(\theta - \sin(\theta))[/tex]
Recall that:
[tex]\theta = 90[/tex]
Convert to radians
[tex]\theta = \frac{\pi}{2}[/tex]
So, we have:
[tex]A_3 = \frac 12r^2(\frac{\pi}{2} - \sin(\frac{\pi}{2}))[/tex]
This gives
[tex]A_3 = \frac 12r^2(\frac{\pi}{2} - 1)[/tex]
The area of the lune is then calculated as:
[tex]A = A_2 - A_3[/tex]
This gives
[tex]A = \frac{\pi r^2}{4} - \frac 12r^2(\frac{\pi}{2} - 1)[/tex]
Expand
[tex]A = \frac{\pi r^2}{4} - \frac{\pi r^2}{4} + \frac 12r^2[/tex]
Evaluate the difference
[tex]A = \frac 12r^2[/tex]
Recall that the area of the isosceles triangle is
[tex]A_1 = \frac 12r^2[/tex]
By comparison, we have:
[tex]A = A_1 = \frac 12r^2[/tex]
This means that the areas of the lune and the isosceles triangle are equal
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Jenna collects stamps. She puts the same number of stamps on each page and then inserts each page into one of her two stamp books. One of her stamp books has a total of 840 stamps. The other has 1008. What is the largest number of stamps that Jenna could be putting on each page
168 is the largest number of stamps that Jenna could be putting on each page
What is the Greatest Common Factor?
The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder. For example, for the set of numbers 18, 30 and 42 the GCF = 6.
So the largest number of stamps that Jenna could be putting on each page
would be gcd of 1008 and 840.
840 = 2 x 2 x 2 x 3 x 5 x 7
1008 = 2 x 2 x 2 x 2 x 3 x 3 x 7.
∴ The Gcd = 2 x 2 x 2 x 3 x 7 = 168.
Hence 168 is the largest number of stamps that Jenna could be putting on each page
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Select the correct answer from each drop-down menu. a comic-strip writer churns out different numbers of comic strips each day. the writer logged the number of comic strips he wrote each day for 16 days and sorted the data in ascending order to create this data set. 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 8 the data in the distribution is . if the writer writes for two more days and creates 5 and 7 comic strips, respectively, the difference of the mean and the median for the new data set is .
Mean = 3.5
Median = 3
Distribution is negatively skewed.
What is skew in the distribution?
The distribution has no skewness if the mean and median are equal.
The median exceeds the mean in a favorably skewed distribution.
The distribution is also negatively skewed if the median is lower than the mean.
Given,
Data set : 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 8
Mean = [tex]\frac{1+1+2+2+2+3+3+3+3+4+4+4+5+5+6+8}{16}[/tex]
Mean = [tex]\frac{56}{16}[/tex]
Mean = [tex]3.5[/tex]
Median = mid value of the data set when the values are arranged in ascending order
Here,
the two mid values = [tex]3, 3[/tex]
Median = [tex]\frac{3+3}{2}[/tex]
Median = [tex]\frac{6}{2}[/tex]
Median = [tex]3[/tex]
Now, as the mean is larger than the median therefore the distribution will be skewed negatively.
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The data in the distribution is positively skewed (skewed to the right). If the writer writes for two more days and creates 5 and 7 comic strips, respectively, the difference between the mean and the median for the new data set is 0.28.
ヾ(•ω•`)o
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
Answer:
[tex]x^2+(y-3)^2=36\\[/tex] and [tex]x^2+(y+8)^2=36[/tex]
Step-by-step explanation:
So the general formula for a circle is usually represented as: [tex](x-h)^2+(y-k)^2=r^2[/tex] where (h, k) is the center of the circle and r is the radius of the circle.
Since the diameter is 12, the radius is going to be 6, because the radius is half the diameter. We now square that value (since it's squared in the equation), you get 36, which is going to be on the right side.
The last thing to know is since it's on the y-axis, that means h=0, since if h didn't equal 1, it would either be to the right or left of the y-axis. So the equation should look something like this: [tex]x^2+(y-k)^2=36[/tex] where k can be any real number.
So this gives you the two equations:
[tex]x^2+(y-3)^2=36\\[/tex] and [tex]x^2+(y+8)^2=36[/tex]
Given the following results from a spinner game after spinning 20 times.
What is the experimental probability of landing on red?
The experimental probability of landing on red is 7/20 or 0.35 or 35%
How to determine the experimental probability of landing on red?The complete question is added as an attachment
From the question, we have the following outcomes:
Red = 7
Green = 5
Blue = 5
Yellow = 3
The total number of spins is
Total = Red + Green + Blue + Yellow
This gives
Total = 7 + 5 + 5 + 3
Evaluate the sum
Total = 20
The experimental probability of landing on red is the calculated as:
P(Red) = Red/Total
Substitute the known values in the above equation
P(Red) = 7/20
Evaluate
P(Red) = 0.35
Express as percentage
P(Red) = 35%
Hence, the experimental probability of landing on red is 7/20 or 0.35 or 35%
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GCSE MATHS PLEASE HELP
Answer:
A) y = 16/(x^2), B) 4/5
Step-by-step explanation:
For A, we can plug in some of the table values to check it. I will try 2 and 3
2. 4 = 16 / (2^2)
16/4 = 4
3. 16/9 = 16 / (3^2)
16/9 = 16/9
B) We can just input y into the formula 25 = 16 / (x^2)
This leaves us with +-4/5
Answer:
see explanation
Step-by-step explanation:
(a)
given y varies inversely as x² then the equation relating them is
y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of variation
to find k substitute any ordered pair from the table into the equation
using (2, 4 ) , then
4 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
16 = k
y = [tex]\frac{16}{x^2}[/tex] ← equation of variation
(b)
when y = 25 , then
25 = [tex]\frac{16}{x^2}[/tex] ( multiply both sides by x² )
25x² = 16 ( divide both sides by 25 )
x² = [tex]\frac{16}{25}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{16}{25} }[/tex] = ± [tex]\frac{4}{5}[/tex]
the positive value of x is x = [tex]\frac{4}{5}[/tex]
Find each difference and show work please !!
Answer:
X-19
Step-by-step explanation:
First you need to distribute the three into the numbers in the parenthesis,
(3 * x) + (3 * -5) - (2x + 4)
That then turns into,
3x - 15 - (2x + 4)
but we aren't done distributing yet, because the second set of parenthesis has a negative sign in front of it we also have to distribute that. (this is because the negative sign is really just -1)
3x - 15 + (-1 * 2x) + (-1 * 4)
that turns into,
3x - 15 - 2x -4
from here all we have to do is add like terms,
(3x - 2x) + (-15 + -4)
and that leaves us with: 1x -19 or x-19
Hope that helped :))