The equation of a line in point- slope form, that passes through (1, -7) and has a slope of -2/3 is (y + 7) = -2/3 (x - 1)
How to determine the equation of a line in point- slope formInformation gotten from the question include
a slope of -2/3
points (1, -7)
What is linear function ?A linear function consists of functions where the variables has exponents of 1.
The equation of a line in point- slope form is expressed in the form.
(y - y₁) = m (x - x₁)
Definition of variables
(y and y₁) = refers to variables in the y direction
m = slope
x and x₁ = refers to variables in the x direction
substituting into the slope and point (1, -7) equation gives
()y + 7) = -2/3 (x - 1)
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help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The equation of the parabola that similar to f(x) = [tex]7x^2[/tex] but the vertex is (3, 5) in the standard form is y = [tex]7(x-3)^2[/tex] + 5
The equation of the parabola
f(x) = [tex]7x^2[/tex]
The standard vertex form of a parabola is
y = [tex]a(x-h)^2[/tex] + k
The coordinates of the vertex of a parabola = (3, 5)
Where (h, k) is the coordinates
From the given function of the parabola f(x) = [tex]7x^2[/tex]
The value of a = 7
Substitute the values in the vertex form of a parabola
y = [tex]7(x-3)^2[/tex] + 5
Hence, the equation of the parabola that is similar to f(x) = [tex]7x^2[/tex] but the vertex is (3, 5) in the standard form is y = [tex]7(x-3)^2[/tex] + 5
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At a sale, suits were sold for $130 each. If the suits originally cost $200 each, what percentage of its original price was a suit sold for?
Answer:
70%
Explan your answer :
200-130=70 and 70% of 100 = 30% so
Answer: 65
Step-by-step explanation:
0.65
×
100
=
0.65×100=
65
%
65%
a group contains n men and n women. identify the steps used to find the number of ways to arrange n men and n women in a row if the men and women alternate?
With the help of factorisation we can conclude our answer.
What is factorisation?The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into the product of another entity, or factors, whose multiplication results in the original number or matrix is known as factorization or factoring in mathematics.A polynomial or integer is simply resolved into components that, when multiplied together, produce the original or starting polynomial or integer. The factorization method allows us to simplify any algebraic or quadratic equation by representing the equations as the product of factors rather than by expanding the brackets. Any equation can have an integer, a variable, or the algebraic expression itself as a factor.acc to our question-
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express -58 in the form of bi where b is a real number. TIME SENSITIVE!!
The number -58 is a real number and it cannot be represented as a complex number
How to determine the complex representation of the number?From the question, we have the following expression that can be used in our computation:
Expression = -58
The given expression above is a number
And also, it is a negative number
Negative numbers of this form are real numbers
This means that the such numbers cannot be represented as a complex number
Hence, the number -58 does not have a complex equivalent
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Can someone please explain to me in simple words how to construct the circumcenter and incenter of a triangle? I've tried watching videos and reading articles but the wording is too complicated.
I'm doing the IXL skill if that helps
The circumcenter is where three perpendicular bisectors intersect and the incenter is where the three angle bisectors intersect.
What is circumcenter?The circumscribed circle or circumcircle of a polygon in geometry is a circle that passes through each of the polygon's vertices. This circle's circumcenter and circumradius are its centre and radius, respectively.
Construct angle bisectors of each angle of the triangle and their intersection point gives the incenter.
To find Circumcenter:
Construct perpendicular bisectors of all sides of the triangle and their intersection point gives the circumcenter.
Circumcenter Theorem: It states that the vertices of a triangle are equidistant from the circumcenter.
Incenter Theorem: It states that the incenter is equidistant from the sides of the triangle.
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Headphones were bought for $44. Coupon code got 20% off then a 5% processing fee was after the discount. How much was the processing fee?
The processing fee was = $36.96
what is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc to our question-
let the price of headphones be= x
44*20/100=8.844-8.8=35.235.2*5/100=1.7635.2+1.76= 36.96Hence,The processing fee was = $36.96
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Colette is considering switching to a cell phone plan with unlimited texting. She currently
pays $38 per month for service, plus $0.20 per text. That adds up fast!
Write an equation that shows how the total monthly cost, y, depends on the number of texts,
X.
Do not include dollar signs in the equation.
y =
Answer:
y= 38 + 0.20x
The equation will be y=38+0.20x where x is the number of texts and y is in dollars.
What is equation?An equation is a relationship between the variables and constants representing how they are related to each other. It includes equal to "=" sign.
It is known that the fixed payment is of $38 and each text costs $0.20.
Assume Colette sends x texts in a month and y be the total cost.
Determine the monthly cost equation.
Total cost= Fixed cost+ x(cost of each text)
y=38+0.20x
So, the total monthly cost will be represented by the equation, y=38+0.20x.
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Will mark brainliest!
Determine the quadratic function of the form f(x)= a(x - h)² + k whose graph is given on the
right.
By using the vertex and the given point, we will see that the graphed quadratic equation is:
y = -(x - 2)^2 + 4
How to find the equation for the quadratic equation?A quadratic equation with a leading coefficient a and a vertex (h, k) can be written as:
y = a*(x - h)^2 + k
Here the vertex is (2, 4), replacing that we get:
y = a*(x - 2)^2 + 4
Now we also can see that the line passes through the point (0, -8), replacing these values we get:
-8 = a*(0 - 2)^2 - 4
-8 = 4a - 4
-8 + 4 = 4a
-4 = 4a
-4/4 = a
-1 = a
The quadratic equation is:
y = -(x - 2)^2 + 4
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what is the slope of a line that passes through points (7,-5) and (16,7)
(3x-19)
what is the value of x
What does 3x-19 equal? You can find x without it being an equation
The solution is, the value of x is 6.33.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
(3x-19) = 0,
here, we have to make the given expression simple, as we have to find the value of x.
so, we get, by isolating the variable & numbers,
adding 19 on both sides we get,
3x = 19
dividing both sides by 3, we get,
or, x = 19/3
or, x = 6.33
Hence, The solution is, the value of x is 6.33.
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homogeneity of variance is an assumption for the one-way between-subjects anova. what does this assumption mean? group of answer choices that the population being sampled from is normally distributed that participants are randomly selected to participate in a sample that the variance is equal in each population from which samples are elected that one observation has no effect on the likelihood of another observation
The homogeneity of variance is an assumption for the one-way between-subjects anova means each population from which the samples are drawn has the same level of variation.
What is homogeneity of variance?Both t tests and F tests (also known as analyses of variance, or ANOVAs) are based on the premise that the population variances (i.e., the distribution, or "spread," of scores around the mean) of two or more samples are identical. The independent samples t-test and ANOVA employ the t and F statistics, which, provided that group sizes are equal, are often resistant to breaches of the assumption. A ratio of less than 1.5 between the largest and smallest group can be used to identify equal group sizes.
The independent samples t-test and ANOVA make the assumption of homogeneity of variance, which states that all comparison groups have the same variance. The homogeneity of variance is an assumption for the one-way between-subjects anova means each population from which the samples are drawn has the same level of variation.
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The geometric mean of a number and nine times the number is 30. What is the number?
For the given geometric mean of a required number and nine times the required number is 30 then the required number is equal to 10.
As given in the question,
Geometric mean GM = 30
Let us assume the first number is x
and second number i.e. 9 times of the first number is 9x
By the formula GM = [tex]\sqrt{x.y}[/tex]
Now putting the value
30 = [tex]\sqrt{x.9x}[/tex]
30 = [tex]\sqrt{9x^{2} }[/tex]
30 = 3x (∴ square root of 9 is 3 and sq root of x² is x)
10 = x (by dividing both the side by 3)
Therefore, for the given geometric mean of a required number and nine times the required number is 30 then the required number is equal to 10.
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7(x+4)-2[x-3(5+x)]=2/3(x-6)
Hope this helps! Bye, have a nice day!
What is the equation of the line that passes through the point (-4, 2) and has a
slope of 1/4?
Answer:
y=1/4x+3
Step-by-step explanation:
To write an equation, let's infer we need to write it in slope-intercept form. We need the y-intercept. We can plug 1/4 and (-4,2) into y=mx+b, to solve for b. We have:
2=1/4*-4+b
2=-1+b
3=b
Since we have the slope, 1/4, we can create our equation:
y=1/4x+3
Solve for b in (y=mx+b):
b=y-mx
b=2-(1/4)(-4)
b=2+1
b=3
So the equation is y= (1/4)x + 3
help pls pls pls pls pled
The sum of all angles in a triangle sum up to 180.
∠1 = x+37
∠2=x+67
∠3=90° (right triangle)
∠1+∠2+∠3 = 180°
(x+37)+(x+67)+90=180
2x+104+90=180
2x+194=180
2x=-14
x=-7
An angle can't be negative, but when plugged in it works!!
∠1 = -7+37=30
∠2=-7+67=60
30+60+90=180
Hope it helps!
Tim, Paco, Maria, and Jenny are standing in line for lunch. Jenny is standing between Paco and Maria, and Paco’s position in line is an odd number. Tim is not standing on either end of the line, and he is in front of Jenny.
Which friend is standing first in line?
Answer:
Paco, Tim, Jenny, Maria
Step-by-step explanation:
Linda has a shelf that is 56 over 5 inches wide. How many catalogs can Linda arrange on the shelf if each catalog is 4 over 5 of an inch thick?
Answer:
Last option: 31
Step-by-step explanation:
No. of catalogs that can be arranged
= (longest side of shelf ÷ longest side of catalog) × (shortest side of shelf ÷ shortest side of catalog)
= (56 ÷ 5) × (5 ÷ 4)
= 31
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Answer: What??
Step-by-step explanation:
in terms of i.
PLEASE HELP!!
Answer:
[tex]-4i\sqrt{3}[/tex]
Step-by-step explanation:
Answer:
[tex] - 4 \sqrt{3i} [/tex]
Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks.
Skill plans
At a candy store, Dean bought 2 kilograms of jelly beans and 3 kilograms of gummy worms
for $38. Meanwhile, Sue bought 3 kilograms of jelly beans and 3 kilograms of gummy worms
for $45. How much does the candy cost?
A kilogram of jelly beans costs $
and a kilogram of gummy worms costs $
The price of one kilogram of jelly bean and gummy worms is $7 and $8 respectively.
Let the price of 1 kilogram of jelly bean cost be x
and the price of 1 kilograms of gummy worms be y
Dean bought 2 kilograms of jelly beans and 3 kilograms of gummy worms
for $38
2x + 3y = 38......equation 1
Sue bought 3 kilograms of jelly beans and 3 kilograms of gummy worms
for $45
3x + 3y = 45........equation 2
Subtracting equation 2 from equation 1
2x + 3y - (3x + 3y) = 38 - 45
2x - 3x + 3y - 3y = -7
-x = -7
x = 7
2(7) + 3y = 38
14 + 3y = 38
3y = 24
y = 8
Therefore, the price of one kilogram of jelly bean and gummy worms is $7 and $8 respectively.
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in a region where we have had big earthquakes (magnitude 7 and above) roughly every 200 years, what is the probability that we will not have a big earthquake in this region in the next two years?
There is a 0.990025 probability that this area won't experience a major earthquake in the next two years.
Define probability.In the field of mathematics called probability theory, random occurrences are studied. The outcome of a random event can take any number of distinct shapes, but it cannot be anticipated before it occurs. The outcome is believed to have been decided by chance.
Given,
In a region where large earthquakes of magnitude 7 or higher have occurred about once every 200 years,
First, the likelihood of an earthquake with a magnitude of 7 or higher is 1/200 = 0.005.
The likelihood of there not being an earthquake is then requested, and it is 1-0.005 = 0.995.
The likelihood that there won't be an earthquake in two years is then
0.995 x 0.995, or.0990025.
The probability that we will not have a big earthquake in this region in the next two years is 0.990025.
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Flying against the wind, an airplane travels 7680 kilometers in 8 hours. Flying with the wind, the same plane travels 12,420 kilometers in 9 hours. What is the rate of the plane in still air and what is the rate of the wind?
The rate of the plane in still air is a = 1170 km/hr, and the rate of the wind is w = 210 km/hr.
What is speed?The distance covered in a unit of time is known as speed.
Given that, the airplane travels 7680 km in 8 hours flying against the wind, and 12420 km in 9 hours.
Therefore, the rate of the airplane against the wind is:
7680/8
= 960 km / hr
The rate of the airplane with the wind is:
12420/9
=1380 km / hr
Let the rate of the airplane in still air be a and the rate of the wind be w.
The net rate while flying against the air is:
a - w = 960 (1)
The net rate while flying with the wind is:
a + w = 1380 (2)
Add equations (1) and (2):
2a = 2340
a = 1170 km/hr
Substitute a = 1170 into equation (1):
1170 - w = 960
1170 - 960 = w
210 = w
Hence, the rate of the plane in still air is a = 1170 km/hr, and the rate of the wind is w = 210 km/hr.
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the length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of 8 cm/s. when the length is 12 cm and the width is 10 cm, how fast is the area of the rectangle increasing (in cm2/s)?
The area of the rectangle is increasing at the rate of 156 [tex]cm^{2}[/tex]/s .
Let the length (cm) be l , width (cm) be w , area be A ([tex]cm^{2}[/tex]) and time (s) be t .
Given : dl / dt = 6 cm/s and dw / dt = 8 cm/s
Area of rectangle = l * w
Differentiating wrt. t ,
dA / dt = ( l ) ( dw / dt ) + ( dl / dt ) ( w )
Therefore , dA / dt = 8l + 6w
Hence , when l = 12 cm and w = 10 cm
dA / dt = ( 8 * 12 ) + ( 6 * 10 )
dA / dt = 156 [tex]cm^{2}[/tex]/s .
The area of the rectangle is increasing at the rate of 156 [tex]cm^{2}[/tex]/s .
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an insurance company won't repair a car when the cost of the repair is 25% or more of the car's value. if a repair costs $1400, what is the value of the car (in interval notation)?
The interval of the cost of the car is [5600, ∞).
Here we have to find the cost of the car.
Let x be the cost of the car.
So from the question, we have that the cost of the repair is 25% or more of the car's value.
So we have to find the interval notation of the cost of the car.
x ×25% ≥ 1400
x × 25/100 ≥ 1400
x ≥ 1400× 100/25
x≥ 5600
So we get that the cost of the car is greater than $5600.
Therefore the cost of the car in an interval is [5600, ∞)
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Karla drank a 15-fluid-ounce bottle of water before tennis practice. After practice, she drank 4 cups of water. What is the total amount of water Karla drank?
a 7 c and 9 fl oz
b 7 c and 7 fl oz
c 5 c and 9 fl oz
d 5 c and 7 fl oz
The total amount of water Karla drank before and after the tennis practice is 5 cups and 9 fluid ounces.
The correct answer option is option C.
What is the total amount of water Karla drank?Volume of water Karla drank before tennis practice = 15-fluid-ounceVolume of water Karla drank after tennis practice = 4 cupsConvert fluid ounces to cups:
1 fluid ounces = 0.125 cups
15 fluid ounces = 1.875 cups
Total volume of water Kayla drank = Volume of water Karla drank before tennis practice + Volume of water Karla drank after tennis practice
= 1.875 cups + 4 cups
= 5.875 cups
Approximately,
5 cups and 9 fluid ounces
Therefore, the total volume of water Karla drank is approximately 5 cups and 9 fluid ounce
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Help! What is the domain of the graph shown below?
A. All real numbers greater than 0.
B. All real numbers greater than -2
C. All real numbers between -5 and 4
D. All real numbers
Answer:
D
Step-by-step explanation:
there are no restrictions on the domain and
- ∞ < x < ∞
That is the domain is all real numbers
solve the inequality 2b + 5 <_ 30
The solution of the inequality 2b + 5 ≤ 30 is b ≤ 12.5
What are inequalities?Inequalities refers to some type of equations where the relationship between the left hand side and the right hand side of an equation is expressed in terms of symbols other than equal to
The symbols include
less thangreater thanless than or equal to greater than or equal toIn the problem given the symbol used is less than or equal to and the equation is solved by
2b + 5 ≤ 30
2b + 5 - 5 ≤ 30 - 5
2b ≤ 25
dividing through by 2
2b / 2 ≤ 30 / 2
b ≤ 12.5
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can anyone help with this???
Answer:
L=66 degrees
KL=3.5
LM=8.7
i need help pls ahhhhh
Answer:
here is the answer have a good day
Answer:
1. 40/5=8
8 x 3p=24p
8(3p+5)=24p+40
2. 48/8=6
64/8=8
8(6q-8)=48q-64
The graph states f(x) is at(4,3) and g(x) is at (4,3) what input value produces the same output value for the two functions on the graph?
The ordered pair of the values of f(x) and g(x) of (4, 3) and (4, 3) indicates that the input value that produces the same output value for f(x) and g(x) functions is x = 3
What are the input and output values of a function?The input values of a function are the values that serve as the argument of the function. They are also known as the independent variable. The operations of a function are performed on the input values such that each input produces only one output, which is known as the dependent variable. The set of the input values is known as the domain of the function.
The output value of a function are the values of the function that gives the image of the input values, and they are known as the dependent variable. The set of the output values is the range of the function.
The points on the graph are;
f(x) = (4, 3), and g(x) = (4, 3)Therefore, from the graph, at the point x = 3, f(x) = g(x) = 4
The input value that produces the same output value for the two functions on the graph is the x-value of 3
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