To translate a graph down and right, you would take each point on the graph and move it down and to the right by a given number of units. To be more specific, you would add the given number of units to the x-coordinate and add the given number of units to the y-coordinate.
A graph can be translated down and right by taking each point on the graph and moving it down and to the right by a given number of units. This means that for each point on the graph, the x-coordinate will be increased by the given number of units and the y-coordinate will be increased by the same number of units. This type of translation is often used to move a graph from one position to another on the coordinate plane. It can also be used to create a graph that is shifted from its original position. This shifting of the graph can be used to compare two different graphs or to move a graph to the origin. In either case, translating the graph down and right will move each point on the graph in the same direction and by the same number of units.
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QUICK NEED WITH WITHIN 5 MINUTES BRAINLIEST WILL BE GIVEN
simplify: cube root of 8x^6 y^12
Answer: C
Step-by-step explanation:
cube root of 8x^6y^12
equals 2x^2y^4
F(x) = - square root of x—5+10
To find the domain of the function F(x) = - √x—5 +10, we need to find the set of x-values for which the expression inside the square root is defined. The expression inside the square root is x - 5. For the square root of a real number to be defined, that number must be non-negative, so x - 5 ≥ 0, or x ≥ 5. Therefore, the domain of the function is x ≥ 5.
What is an example of a domain and range?
Think about the relationship (0,7,0,8,(1,7,(1,8,(1,9),(2,10)). The relation is shown in this case as a set of sorted pairs. The set of x -coordinates, 0, 1, and 2, and the set of y -coordinates, 7, 8, 9, and 10, define the domain and range, respectively.
To find the range of the function F(x) = - √x—5 +10, we need to find the set of y-values that the function can output. The function starts with the square root of x-5, which is always non-negative, and then subtracts it from -5 and adds 10. Therefore, the range of the function is all real numbers y, such that y ≥ 10.
So the domain of the function F(x) = - √x—5 +10 is x ≥ 5 and the range of the function is y ≥ 10.
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Which of the following is the value of k,if one root of the quadratic equation X2+kx-8=0 is-4?
The value of k if one root of the quadratic equation x²+kx-8=0 is-4 is 2.
The equation x^2+kx-8=0 is a quadratic equation and of the form
ax^2 + bx + c ;where a =1 , b=k and c= -8.
Now, we know that the sum of the roots of a quadratic equation = -b/a
and the product of the roots is = c/a.
Now, let the other root of this equation be y.
Then , by above properties,
(-4) + y = -k/1 =-k ..... (1)
And, (-4)y = -8/1=-8....(2)
From 2, we get y = 2.
Putting this value in (1), we get -
(-4) + 2=-k
So, k = 2.
Thus, if one of the roots of this equation -4 , then the other root must be 2 and so , the value of k is 2.
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The complete question is:
Which of the following is the value of k,if one root of the quadratic equation X2+kx-8=0 is-4? a) 0 b) 4 c) 0 or 4 b) 2
the first term of a geometric sequence is 15, and the 5th term of the sequence is 243125. what are the geometric means between these terms? enter your
Answer:
The geometric sequence is 15, 9, 27/5, 81/25, 243/125
Step-by-step explanation:
After renovations in the gym were finished, Coach Murphy decided to paint the school colors on the wall behind the bleachers. The wall is 120 feet wide, and he plans to paint stripes that are 1.5 feet wide.
Let s represent how many stripes Coach Murphy will paint. Which equation models the problem?
The equation that models the problem is given as follows:
s = 120/1.5.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
For this problem, the variables are given as follows:
y = 120 = total width of the wall.k = 1.5 = length of each stripe painted.x = s = number of stripes painted.Hence the equation used to obtain the number of stripes that Murphy will paint is given as follows:
1.5s = 120
s = 120/1.5
s = 80. (solution).
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how to solve 7/3 x + 1/3 x =1 + 5/3 x
Answer:
x = 1
Step-by-step explanation:
Since all the fractions have a common denominator of 3, you can multiply both sides by 3 to get rid of the denominator. (Make sure you distribute)
[tex]\frac{7}{3}x+\frac{1}{3}x=1+\frac{5}{3}x[/tex]
[tex]3(\frac{7}{3}x+\frac{1}{3}x)=3(1+\frac{5}{3}x )[/tex]
7x + x = 3 + 5x
8x = 3 + 5x
8x - 5x = 3 + 5x - 5x
3x = 3
x = 3/3
x = 1
Students in a school are asked to pick either football, rugby or tennis to play in their lesson. The number of students who picked football and rugby are in the ratio of 3:2 The number of students who picked rugby and tennis are in the ratio of 8:17 51 students picked tennis. Work out how many students picked football
The number of students who chose football exists 38.5.
What is meant by ratios?A ratio is a tool for comparing like-kind quantities or illustrating relationships between them. To compare similar items, we employ ratios.
It's crucial to keep in mind that the ratio of one value to another is the same as the real value in relation to the other when calculating values using supplied ratios.
The percentage of students that chose rugby and tennis is listed as 8:17, which means that out of every 25 students (8 + 17), 8 chose rugby and 17 chose tennis. The ratio of 17 would now be replaced by the value 51 as the total number of students who picked tennis was 51. Although we do not yet know the total number of people that choose rugby, we can draw down an equation as shown below;
17/25 = t/x
Where t is the number of tennis players as represented by ratio 17 and x is the total number of both tennis and rugby players as represented by 25.
By cross multiplication we now have
17 × x = 25 × 51
x = (25 × 51)/17
Simplifying the above equation, we get
17x = 1275
x = 75
If 84 students participate in both rugby and tennis, but only 57 of them play tennis, the number of rugby players is calculated as follows.
Let the equation be r = x - t
simplifying the equation, we get
r = 75 - 51
r = 24
Given that 25 students participated in rugby and that the proportion of football players to rugby players is 3:2, the relationship can be mathematically stated as follows;
3/5 = r/y
Where r is the total number of rugby players and y is the total number of both football and rugby players
2/5 = 25/y
By cross multiplication you now have
y = 62.5
If the total number of football and rugby players is 63 and out of these 27 play rugby only, then the number of football players is derived as;
f = y - r
f = 62.5 - 24
f = 38.5
Therefore the number of students who chose football is 38.5.
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sinx - cosx = 1 ; solve the equation on the interval [tex]0\leq x\ \textless \ 2\pi[/tex]
Please show all work.
The solution of the equation in the interval [0, 2π] is π or 180.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Given the equation;
Sinx = cosx + 1
Then Square both sides of the equation;
Sin²x = (cos x + 1)²
Sin²x = cos²x + 2cos x + 1
Since Sin²x = 1 - cos²x
1 - cos²x = cos²x + 2cos x + 1
Collect like terms;
1-1-cos²x-cos²x-2cos x = 0
-2cos²x-2cos x = 0
-2cos²x = 2cos x
-cosx = 1
cos x = -1
x = 180 degrees
Hence, the value of x = π
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Identify the graph that displays the altitude of a skydiver as he is taken up in a plane and then jumps. a. A graph has time on the x-axis and altitude on the y-axis. A line increases, is horizontal, and then decreases. c. A graph has time on the x-axis and altitude on the y-axis. A line increases slowly and then decreases rapidly. b. A graph has time on the x-axis and altitude on the y-axis. A line is horizontal and then decreases. d. A graph has time on the x-axis and altitude on the y-axis. A line increases, is horizontal, increases, and then decreases rapidly.
The graph that displays the altitude of a skydiver as he is taken up in a plane and then jumps:
A graph has time on the x-axis and altitude on the y-axis.
The correct option is A.
What is graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.
The relationships between two or more items are frequently represented by the points on a graph.
Given:
We have a graph.
The graph is given in the attached image.
From the graph;
A graph has time on the x-axis and altitude on the y-axis.
Therefore, x-axis shows the time and y-axis shows altitude.
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Be sure to show all your work
Hannah needs to buy apples and on box of cereal at the grocery store. At Giant Eagle, a box of cereal costs $2.89 and apples cost $1.29 per pound. At Shop & Save, the apples are $1.05 per pound and a box of
cereal is $3.37. How many pounds of apples can Hannah buy for the cost for her purchase to be the same from both stores?
a. Choose a variable and explain what it represents (1 point)
b. Write and solve the equation (3 points)
c. Explain your answer using a complete sentence. (2 points)
There are 2 pounds of apples Hannah buy for the cost for her purchase to be the same from both stores.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
At Giant Eagle, a box of cereal costs $2.89 and apples cost $1.29 per pound.
And, At Shop & Save, the apples are $1.05 per pound and a box of
cereal is $3.37.
Now,
Let number of pounds of apples can Hannah buy for the cost for her purchase to be the same from both stores = x
So, We can formulate;
For, At Giant Eagle, a box of cereal costs $2.89 and apples cost $1.29 per pound.
The total cost is,
⇒ $2.89 + $1.29x
And, For Shop & Save, the apples are $1.05 per pound and a box of
cereal is $3.37.
Total cost is,
⇒ $3.37 + $1.05x
Now, We can equate both the equation to find the number of pounds of apple to buy.
⇒ $3.37 + $1.05x = $2.89 + $1.29x
⇒ 3.37 + 1.05x = 2.89 + 1.29x
⇒ 3.37 - 2.89 = 1.29x - 1.05x
⇒ 0.48 = 0.24x
⇒ x = 0.48 / 0.24
⇒ x = 2
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HOW MANY RODS HEEEEELP THIS IS AS FAR AS I HAVE GOTTEN
Within a yard, there are 36 inches (yd). In both the US customary and imperial systems of measurement, length is expressed in both inches and yards.since there are 313 by 36 inches in a yard.
What is the yard-to-inch conversion factor?Within a yard, there are 36 inches (yd). In both the US customary and imperial systems of measurement, length is expressed in both inches and yards.In the United States, the United Kingdom, and its territories, these units are primarily used.
A man's belt or girdle, as it was referred as, measured a yard in length originally.King Henry I of England established the yard in the 12th century as being equal to the distance between his thumb and nose on his extended arm.
There are 36 inches today.
So, 313 yards = 11,268 inches.
There are 36 inches in one yard
You need to multiply 313 yards by 36 inches to get your answer,
which is 31336 = 11,268.
so 313 yards equal 11,268 inches
So, 313 yards = 11,268 inches.
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Solve for x. Round to the nearest tenth.
The measure of reference angles to problems are,
7. Ф = 41.81°.
8. Ф = 64.23°.
10. Ф = 51.31°.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
7. With respect to the reference angle opposite and the hypotenuse is given,
sin = opposite/hypotenuse.
sinФ = 4/6.
Ф = sin⁻¹(4/6).
Ф = 41.81°.
8. With respect to the reference angle opposite and adjacent is given,
tan = opposite/adjacent.
tanФ = 29/14.
Ф = tan⁻¹ (29/14).
Ф = 64.23°.
9. With respect to the reference angle opposite and the hypotenuse is given, Similar to problem 7.
10. With respect to the reference angle hypotenuse and adjacent is given,
cos = adjacent/hypotenuse.
cosФ = 25/40.
Ф = cos⁻¹(25/40).
Ф = 51.31°.
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of the 250 cows on the farm 34% are black and white cows.What is the total number of black and white cows on the farm?
Answer:
85
Step-by-step explanation:
4(2a) +7(-4b)+(3 times c times 5)
The given expression in standard form is 8a-28b+15c.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is 4(2a)+7(-4b)+(3×c×5)
Now, 8a-28b+15c
Therefore, the given expression in standard form is 8a-28b+15c.
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"Your question is incomplete, probably the complete question/missing part is:"
Write the expression in standard form: 4(2a)+7(-4b)+(3×c×5).
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Rebekah and Mohammad have $125 saved up already with their clothing business. For every shirt they sell, they make $12 and for every hat they make $9. How many of each did they sell if they sold 22 pieces of clothing and their total saved at the end of the day is $350, including the savings they started with?
Rebecca and Mohammed sold 16 shirts and 6 hats.
How to evaluate for each number of shirt and hats soldTo solve this problem, we can write an equation on the information provided. Let x be the number of shirts sold and y be the number of hats sold. Such that:
x + y = 22 {the total number of pieces sold}
12x + 9y = 350 - 125 {the total profit, including the savings they started with}
We can solve for one variable in terms of the other using the first equation:
x = 22 - y
Then we can substitute this expression into the second equation:
12(22 - y) + 9y = 350 - 125
Simplifying this equation:
264 - 12y + 9y = 350 - 125
y = 6
Therefore, Rebecca and Mohammed sold 6 hats and 16 shirts
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Choose the expression that is equivalent to
(9^-3/3^-2x9^2)^3
-3^6/-9^15
-3^2/-9^5
3^6/9^15
3^2/9^5
The equivalent expression to the given expression is 3⁶/9¹⁵.
Equivalent Expressions:A mathematical expression made up of variables, coefficients, constants, and operations like addition, subtraction, multiplication, and division is called an algebraic expression.
Equivalent expressions in mathematics are those that hold true even when they appear to be different. However, both forms provide the same outcome when the values are entered into the formula.
Here we have
=> [tex][ \frac{9^{-3} }{ 3^{-2} 9^{2} } ]^{3}[/tex]
We can solve the above expression as follows
=> [tex][ {9^{-3} \times3^{2} \times 9^{-2} ]^{3}[/tex]
=> [tex][ {9^{-5} \times3^{2} ]^{3}[/tex]
=> [tex][ {9^{-15} \times3^{6} ][/tex]
=> [tex]\frac{ 3^{6}}{9^{15} }[/tex]
Therefore,
The equivalent expression to the given expression is 3⁶/9¹⁵.
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What is the function f/x )= x2 called?
The function f(x) = x² is called as the quadratic function.
In math the term function is called as the relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.
Here we need to identify the function type of the given function f(x) = x².
As we all know that the polynomial function with one or more variables in which the highest exponent of the variable is two is known as quadratic function.
The general form of the quadratic function is written as,
=> f(x) = ax² + bx + c
where the value of a ≠ 0.
Based on the general form we have identified that the given function
=> f(x) = x²
is known as the quadratic function.
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1. Find the values of x and y.
a.
b.
(3x + 18)°
(5y+68)°
(3y+96)°
x = 8, y = 2
x = 20, y = 2
(5x+2)°
fal
C. x = 8, y = 14
x = 20, y = 14
d.
Answer:
c
Step-by-step explanation:
(5x + 2) and (3x + 18) are vertically opposite angles and are congruent, so
5x + 2 = 3x + 18 ( subtract 3x from both sides )
2x + 2 = 18 ( subtract 2 from both sides )
2x = 16 ( divide both sides by 2 )
x = 8
Similarly
(5y + 68) and (3y + 96) are vertically opposite angles and are congruent, so
5y + 68 = 3y + 96 ( subtract 3y from both sides )
2y + 68 = 96 ( subtract 68 from both sides )
2y = 28 ( divide both sides by 2 )
y = 14
Kristen's dry cleaning fee was $32.75 for 5 pairs of pants.
What is the unit price?
$0.65 per pair of pants
$5.00 per pair of pants
$6.55 per pair of pants
$32.75 per pair of pants
The unit price is $6.55 per pair of pants
How to calculate the unit price of the pants?
Kristen's dry cleaning charge a fee of $32.75 for 5 pairs of pants
The unit price of the pants can be calculated as follows
32.75= 5
x= 1
Cross multiply both sides
5x= 32.75
x= 32.75/5
x= 6.55
Hence the unit price of the pants is $6.55
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The unit price for the cleaning fee is $6.55 per pair of pants
What is an equation?An equation shows the relationship between numbers and variables in an expression.
Unit rate is the ratio of two quantities. The denominator of a unit rate is always equal to one.
Kristen's dry cleaning fee was $32.75 for 5 pairs of pants. Hence:
Unit price = total cleaning fee / number of pants
Substituting values gives:
Unit price = $32.75/5 pairs of pants = $6.55 per pair of pants
The Unit price is $6.55 per pair of pants
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A triangle has an angle that measures 85°. The other two angles are in a ratio of 3:16. What are the measures of those two angles?
Answer:
15, 80
Step-by-step explanation:
Angle of triangle=180 degrees
180-85=95
3x+16x=95
19x=95
x=95/19
x=5
3x=15
16x=80
I need an answer in at least 5 minutes please show work. i will give brainliest!
Answer:
0.038cm
Step-by-step explanation:
50 cards
1.9cm thick
1.9/50=0.038cm
Describe the parts of this algebraic expression using the lesson’s vocabulary and simplfy
Negative x + 10.2 minus one-half x + y
Answer:
In this algebraic expression, "Negative x" represents a term with a coefficient of -1, and "x" represents a variable. "10.2" represents a constant term. The "+" sign represents addition.
Step-by-step explanation:
"minus one-half x" represents a term with a coefficient of -0.5 and variable "x". "+ y" represents a term with variable "y" and a coefficient of 1.
Simplifying the expression by combining like terms:
-x - 0.5x = -1.5x
Negative x + 10.2 - one-half x + y = 10.2 - 1.5x + y
Sam and harry are family. Sam is currently three times harry's age. Sam's age is also 10 more than twice harry's age. The following system of equations models this scenario: x = 3y x = 10 + 2y what are their current ages?.
The current age of Sam is 30 years and Harry is 10 years.
Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.
Let Sam's age be y years and Harry's age be x years.
Sam is currently three times harry's age.
The equation formed: y = 3x
Sam's age is also 10 more than twice harry's age.
The equation formed: y = 2x + 10
Substitute the value of y from first equation in second equation:
3x = 2x + 10
x = 10
Put the value of x in first equation:
y = 3x = 3*10 = 30
Thus, the current age of Sam is 30 years and Harry is 10 years.
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Line s passes through the point (4,5) and is parrellel to the line with the equation 4x+3y=2. What is the equation for line s in slope intercept form?
Answer: 67 peeps
Step-by-step explanation:
There are 300,000 households in Clover City. A local television repair shop takes a random sample of 50 households and finds that the average number of televisions per household from the sample last year that needed to be repaired was 2.53 ± 0.71. Which of the following is an estimate of the total number of televisions that needed repairing last year in Clover City?
Between 546,000 and 972,000 televisions
Between 182 and 324 televisions
Between 759,000 and 213,000 televisions
Between 253 and 71 televisions
An estimate of the total number of televisions that would need repairing in Clover City is A. Between 546,000 and 972,000 televisions.
How to find the estimate ?Thanks to the research by the local television repair shop, we know that on average, 2.53 ± 0.71 per family will need to be fixed.
The lower bound of this mean range would be:
= ( Mean - error ) x Number of households
= ( 2. 53 - 0. 71 ) x 300, 000
= 546, 000 televisions
The upper bound of the mean range is:
= ( 2. 53 + 0. 71 ) x 300, 000
= 972, 000 televisions
The estimate for televisions to be repaired is therefore between 546,000 and 972,000 televisions.
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Please help its finals
The number of students who liked cake batter frozen yogurt is 135.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
From the given diagram the sum of all the percentages except the Cake batter is (28.5 + 21.5 + 13 + 10)% = 73%.
Therefore, The percentage of students who liked Cake batter is,
= (100 - 73)%.
= 27%.
So, The number of students who liked cake batter is,
(27/100)×500.
= 27×5.
= 135.
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the widget store owner tells you that 200 customers arrive and purchase a widget from the store each day. assuming you must sell 30 of your widgets to cover the transportation costs, and given the probability you calculated in question 1, use a binomial distribution to estimate the probability of at least covering the transportation costs (that is, the probability of selling at least 30 widgets). write your answer as a probability (not a percent) rounded to 4 decimals.
The probability of selling at least 30 widgets is 0.0468.
The problem is asking us to use a binomial distribution to estimate the probability of selling at least 30 widgets given the information provided.
A binomial distribution is a probability distribution of the number of successes in a fixed number of trials.
Where n = 200 (number of customers arriving and purchasing a widget from the store each day) and
p = 0.1667 ( probability of a customer buying a widget)
We are looking for the probability of selling at least 30 widgets, which is equivalent to finding the probability of selling 30 or more widgets.
This can be calculated using the cumulative probability formula for a binomial distribution:
P(X >= 30) = 1 - P(X < 30) = 1 - Σ (nCx)(p^x)(1-p)^(n-x) from x=0 to 29
We can use a calculator or a software to calculate this probability. The result is 0.0468 rounded to 4 decimals.
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i need help solving this system of equations with elimination method
8x-5y=17
-8x+5y=-21
How long does it take a car to cover 200 km at a speed of 40 km h?
It would take a car 5 hours to cover 200 km at a speed of 40 km/h.
The car moves at a constant speed of 40 km/hr.
The car has to travel a total distance of 200 km.
As we know the formula of speed is distance/time,
Hence, s = d/t km/hr
So t = d/s hr
Let speed, distance and time be s, d, t respectively.
So by putting the values,
time t = 200/40 = 5 hours
Hence it can be said that the car would cover 200 km at the speed of 40 km/hr in 5 hours.
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HELP SOLVE I AM BEING TIMED
The conclusion sum of the measures of the angles 4, 5 and 11 is equal to 180 degrees not be accurate to the drawing.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Supplementary angles are those angles that sum up to 180 degrees
so angle 1 and 4 are supplementary angles.
Congruent angles are two or more angles that are identical to each other
so angles 10 and 1 are congruent.
angles 5 and 7 are congruent.
The three interior angles of a triangle will always have a sum of 180°.
The sum of the measures of the angles 4, 5 and 10 is equal to 180 degrees.
The sum of the measures of the angles 4, 5 and 11 is not equal to 180 degrees.
Hence, the conclusion sum of the measures of the angles 4, 5 and 11 is equal to 180 degrees not be accurate to the drawing.
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