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3 years ago

15

Audrey has $120 to spend on a tennis racket and lessons. The racket costs $45 and the lessons cost $15 per hour. Define a variab

le. Then write and solve an equation to find how many hours of lessons she can afford.

1 answer:

vodka [1.7K]3 years ago

7 0

I would do 120 - 45. Now that she has 75 left I would do 75 - 15 * 3 Since 45 Is all that she has left.

If I were you choose a variable I would say h for hours. And h is equal to 3.

In result the whole equation would be 120 - 45 - 15 * h but since h is equal to 3 , We can write it as 120 - 45 - 15 * 3. Leaving Audrey with $30 left.

Correct me if I am wrong :)

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Match the equations representing parabolas with their directrixes. y + 8 = 3(x + 2)2 y − 14 = -(x − 3)2 y + 7.5 = 2(x + 2.5)2 y

Shkiper50 [21]

Answer:

Part 1) $y+8=3(x+2)^{2}$ -----> $y=-8.08$

Part 2) $y-14=-(x-3)^{2}$ ----> $y=14.25$

Part 3) $y+7.5=2(x+2.5)^{2}$ ----> $y=-7.625$

Part 4) $y-17=-(x-3)^{2}$ -----> $y=17.25$

Part 5) $y+7=(x-4)^{2}$ ----> $y=-7.25$

Part 6) $y-6=-(x-1)^{2}$ ----> $y=6.25$

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

$y-k=\frac{1}{4p}(x-h)^{2}$

where

(h,k) is the vertex

The directrix is

$y=k-p$

case 1) we have

$y+8=3(x+2)^{2}$

the vertex is the point (-2,-8)

$\frac{1}{4p}=3$

$p=\frac{1}{12}$

The directrix is equal to

$y=-8-\frac{1}{12}=-8.08$

case 2) we have

$y-14=-(x-3)^{2}$

the vertex is the point (3,14)

$\frac{1}{4p}=-1$

$p=-\frac{1}{4}$

The directrix is equal to

$y=14+\frac{1}{4}=14.25$

case 3) we have

$y+7.5=2(x+2.5)^{2}$

the vertex is the point (-2.5,-7.5)

$\frac{1}{4p}=2$

$p=\frac{1}{8}$

The directrix is equal to

$y=-7.5-\frac{1}{8}=-7.625$

case 4) we have

$y-17=-(x-3)^{2}$

the vertex is the point (3,17)

$\frac{1}{4p}=-1$

$p=-\frac{1}{4}$

The directrix is equal to

$y=17+\frac{1}{4}=17.25$

case 5) we have

$y+7=(x-4)^{2}$

the vertex is the point (4,-7)

$\frac{1}{4p}=1$

$p=\frac{1}{4}$

The directrix is equal to

$y=-7-\frac{1}{4}=-7.25$

case 6) we have

$y-6=-(x-1)^{2}$

the vertex is the point (1,6)

$\frac{1}{4p}=-1$

$p=-\frac{1}{4}$

The directrix is equal to

$y=6+\frac{1}{4}=6.25$

5 0

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maria [59]

What is the question?

6 0

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Grace earned £27,000 last year.

Marrrta [24]

Answer:

£18.06

Step-by-step explanation:

The computation of her pay per hour is shown below:

= Total earnings last year ÷ Total number of hours she worked

= £27,000 ÷ (32.5 hours × 46 weeks)

= £27,000 ÷ 1,495 hours

= £18.06

4 0

3 years ago

Solve: 5a + 15 = 45<br> O a = 12<br> O a = 6<br> O a = -6<br> O a = -12

anygoal [31]

I believe it’s a = 6

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3 years ago

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Sati [7]

Answer:

199 if it's 7b^3 + 10

9271 if it's (7b)^3 + 10

Step-by-step explanation:

You just substitute the 3 in for d. If your expression was 7b^3 + 10, then only b is being raised to 3.

So 3^3 is 27, 27*7 is 189, 189+10 is 199.

If the expression was (7b)^3 + 10, then first you multiply 7 and 3 to get 21. Then you raise 21 to the power of 3, which is 9261. Then you add 10, which is 9271.

7 0

3 years ago