1. Refer to g(t) = t² - 8t + 15. (a) Graph the function g on the domain -6 ≤ t ≤ 6. Be sure to label the vertex and any intercept(s).​

Her weekly pay is $250

Her monthly pay is $1000

Her yearly pay is $12000

Her weekly take-home pay if she takes home 76% is $190

Unit rate is the ratio of two different units, with the denominator as 1.

We have,

1 hour = $12.50

1 week = 20 hours

The weekly pay:

= 20 hours

= 20 x 12.50

= $250

Monthly pay:

= 4 weeks

= 4 x 20 hours

= 80 hours

= 80 x 12.50

= $1000

Yearly pay:

= 12 months

= 12 x 4 weeks

= 48 weeks

= 48 x 20 hours

= 960 hours

= 960 x 12.50

= $12000

Weekly take-home pay:

= 76% of $250

= 76/100 x 250

= $190

Thus,

Her weekly pay is $250

Her monthly pay is $1000

Her yearly pay is $12000

Her weekly take-home pay if she takes home 76% is $190

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Answer:37

Step-by-step explanation:

The function f(x) represents the linear relationship between f(x) and x because the slope remains constant.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope remains constant throughout the data.

Then the slope of the function f(x) at different stages is given as,

⇒ (14 - 10) / (2 - 1)

⇒ 4

⇒ (22 - 18) / (4 - 3)

⇒ 4

Then the slope of the function g(x) at different stages is given as,

⇒ (12- 10) / (2 - 1)

⇒ 2

⇒ (22 - 16) / (4 - 3)

⇒ 6

The function f(x) represents the linear relationship between f(x) and x because the slope remains constant.

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Answer: 4(y-5).

I don't exactly know what you want, but I assumed you wanted me to put it in number form.

Here you go :D

Answer: I and lV

Step-by-step explanation:

to find function just look at the x values if they repeat it’s not a function.

Answer:

The allowance amount is the product of the number of allowances and $ 63.46

Step-by-step explanation:

1x$ 63.46 = x$ 63.461×$63.46=$63.46

Answer:

Step-by-step explanation:

20.75 miles x 4 = 83 miles

30.25 miles x 4 = 121 miles

Now take the 83 and multiply by 7 for the 7 weeks and multiply the 121 also by 7.

83 x 7 = 581

121 x 7 = 847

Now add the 581 miles with the 847 to get the total miles travelled.

581+847 = 1428 Miles

Answer: The delivery person travels 1428 miles

The figure with the coordinates R'(-4, 2), S'(-4, 4), T'(1, 5) and U' (0, 0) are graph of the image of the figure.

Hence, Option B is the correct answer.

What is translation?

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other.

Given that,

The translation is 1 units left and 5 units up.

The coordinates of the given figure are R(-3, -3), S(-3, -1), T(2, 0) and

U(1, -5).

Now, If the translation is 1 units left and 5 units up, then the coordinates become (x - 1, y + 5).

Hence, Coordinates for the image of the graph are;

R' = (-4 - 1, 2 + 5) = (-5, 7)

S' = (-3 - 1, -1 + 5) = (-4, 4)

T' = (2 - 1, 0 + 5) = (1, 5)

U' = (1 - 1, -5 + 5) = (0, 0)

Hence, The coordinates are R'(-4, 2), S'(-4, 4), T'(1, 5) and U' (0, 0).

Therefore, The figure with the coordinates R'(-4, 2), S'(-4, 4), T'(1, 5) and

U' (0, 0) are graph of the image of the figure.

Hence, Option B is the correct answer.

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Answer:

∠ D2 = 16°

Step-by-step explanation:

complementary angles sum to 90° , then

∠ D1 + ∠ D2 = 90°

74° + ∠ D2 = 90° ( subtract 74° from both sides )

∠ D2 = 16°

If two angles are complementary they add up to a total of 90 degrees.

So we know that

D1+D2=90, because the problem tells us they're complementary

Now, we know as well that D1 = 74, so we can plug it into the little equation and solve in terms of D2.

[tex]D1+D2=90[/tex]

[tex]74+D2=90[/tex]

[tex]D2=90-74[/tex]

[tex]D2=16[/tex]

hope it helps have a great time learning!

Based on the change in the water levels of the ten birdbaths in the park, the range of the data is 4.2.

To find the range of a distribution of numbers, you need to subtract the smallest number from the largest number.

The largest number in the distribution of birdbaths is 2.6 and the smallest number in the distribution is -1.6

The range is therefore:
= 2.6 - (-1.6)

= 2.6 + 1.6

= 4.2

The range of numbers are:

2.2, 0.3, -1.5, 2.6, 1.9, 0.4, 0.6, -1.6, 2.5, -0.6

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Answer:

Step-by-step explanation:

1200 feet in 3 hours

400 feet per hour

That was also a question that I had.

Answer:

$13.08

Step-by-step explanation:

If the price on pump is half the actual price, we just need to double what it says

So

$6.54 x 2 = $13.08

Answer:

Step-by-step explanation:

Givens

(x - 1)(6x - 5) = 0

Solution

Either one of these can be made into 0 by solving the binomials in the brackets.

x - 2 = 0               Add 2 to both sides

x -2 +2= 0+2       Combine

x = 2

6x - 5 = 0             Add 5

6x -5+5 = 0+5     Combine

6x = 5                   Divide by 6

6x/6=5/6

x = 5/6

Answer

Integer Answer: x = 2

Fractional Answer x = 5/6

a. My estimate of the answer by rounding to the nearest whole numbers before subtracting is $19.00 and $2.00

b. Given the difference of the estimate is 19-2= $17 and the difference of the original values is 18.80-1.75=-$17.05, then the estimate is low.

c. The difference of the estimate is $17

Given that:

Randy had $18.80 in his wallet.

He spent $1.75 on a drink

If we round $18.80 to the nearest whole number, it would be $19.00

Rounding off $1.75 to the nearest whole number, it would be $2.00

The difference of the estimate is 19-2= $17 and the difference of the original values is 18.80-1.75=-$17.05, then the estimate is low.

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Answer:

pay him after 3 years with and interest of 5% compounded annually. On the 3rd year, exact date of his payment, Ben requested to extend his deadline for another 2 years. Glenn being a considerate man, agreed but under the new condition that from then on, the interest shall be 6% compounded semi-annually. Two years later, on exact deadline, Ben asked Glenn, again, for 1 more year.

Step-by-step explanation:

Answer:

138.18 square yards

Step-by-step explanation:

Assuming the figure is a rectangle because it isn't said that it is otherwise, you would multiply the numbers together and get 138.18 square yards.

Answer:

650,000

Step-by-step explanation:

[tex]10^5=100000\\=100000\cdot \:6.5\\=650000[/tex]

The expression represented by the quotient of y and 5 is y/5

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

the quotient of y and 5.

Quotient means divide

So, we have

the quotient of y and 5 => y/5

Hence, the expression represented by the quotient of y and 5 is y/5

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A

Or maybe something else is not sure

The value of x for which the numerical length of SP is equal to PT is 1/2.

Number line is a line on which numbers are marked at intervals, used to illustrate simple numerical operations.

Given are the coordinates of three points S,T and P on number line. Also the numerical length of SP is equal to PT. From the question, we can write -

→ Point S at 0.

→ Point T at 1.

→ Point P at x.

It is given that -

SP = PT

Distance between S and P = Distance between P and T.

x - 0 = 1 - x

2x = 1

x = 1/2

Therefore, the value of x for which the numerical length of SP is equal to PT is 1/2.

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Answer: yes it is true .

Step-by-step explanation:

If the function f(x) is either always increasing or always decreasing then it has an inverse function f –1(x). The Range of f(x) becomes the Domain of f –1(x). We find the equation of the inverse by solving the equation y = f(x) for x.

Answer:

$32

Step-by-step explanation:

56+8=64

64/2=32

Answer:

10 million

Step-by-step explanation:

The value is how many time i did Your mom

The difference in the distances flown by these two birds after three hours of light is 94.47km

According to the question, Evolve eagle flies 43.2 m, the distance it will fly in 3 hours will be;

43.2m = 3 seconds

x = 10800seconds

Find the ratio

3x = 43.2  × 10,800

x = 155520 meters = 155.530km

From the graph, the distance traveled in 3 hours is equivalent to 250km

Difference in distance

Difference = 250 - 155.530
Difference = 94.47km

Therefore the difference in the distances flown by these two birds after three hours of light is 94.47km

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The general form of the quadratic function is x² - 2 · x - y + 5 = 0.

In this question we must derive the equation of the parabola in vertex form, whose description is shown below:

4 · p · (y - k) = (x - h)²      (1)

Where:

If we know that (h, k) = (1, 4) and (x, y) = (- 3, 20), then the distance from vertex to focus is:

p = (x - h) / [4 · (y - k)]

p = (- 3 - 1)² / [4 · (20 - 4)]

p = (- 4)² / 64

p = 16 / 64

p = 1 / 4

Then, the equation of the parabola in vertex form is y - 4 = (x - 1)². And now we find the general form of the quadratic formula, that is:

A · x² + B · x + C · y + D = 0          (2)

Then, we proceed to obtain the general form:

y - 4 = (x - 1)²

y - 4 = x² - 2 · x + 1

x² - 2 · x - y + 5 = 0

The general form of the quadratic function is x² - 2 · x - y + 5 = 0.

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Answer:

$4,515.28

Step-by-step explanation:

In 20 years you will have $4,515.28 If there is a 3% interest rate

The ratios of the food coloring drops that would create the same orange icing are

Ratios are quantitative measures of how much a variable is contained in another.

Ratios show numerical relationships between quantities.

Ratios are expressed as decimals, fractions, and percentages.

The mixture of red coloring = 4 drops

The mixture of yellow coloring = 6 drops

The ratio of red to yellow coloring = 4:6 or 2:3

Choice 1- 2 red:3 yellow = 2:3 (already simplified)

Choice 4- 28 red:42 yellow = 2:3 (when simplified by 14)

Choice 5- 44 red:66yellow = 2:3 (when simplified by 22)

Thus, the ratios of the food coloring drops that would create the same orange icing are Choices 1, 4, and 5.

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