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2 years ago

11

Suppose that the function f(x)=2x+12 represents the cost to rent x movies a month from an internet movie club. Makayla now has $

10. How many more dollars does Makayla need to rent 7 movies next month?

1 answer:

Dmitriy789 [7]2 years ago

6 0

To rent 7 movies, he needs 2(7) + 12 = $26.
But he has only $10. So he needs more 26 - 10 = $16.

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Help me with Alims sales tax problem

wlad13 [49]

First you need to find the amount for each of the items, then total it up:

T-shirts> 9.50 x 2 = 19
Socks> 7.95 x 3 = 23.85
Shoes> 49.95
Total: 19 + 23.85 + 49.95 = $92.80

Next find the tax:

(to find the taxes you multiply the total by the percent)
92.8 x 0.06 = 5.57
-- then add the amount to your item total
92.8 + 5.57 = 98.37

~OR~

You could multiply the item total by 1.06 so that you wouldn't have to add to taxes to the previous total because it is already part of the equation

92.8 x 1.06 = 98.37

8 0

2 years ago

Bob newds to mix 2 cups of orange juice concentrate with 3.5 cups of water to make orange juice.Bobvhas 6 cups of concentrate.Ho

aivan3 [116]

So, Bob needs 2 cups of concentrate (I'll use the variable c to shorten it) for every 3.5 cups of water (w). When he has 6 cups of c, he has three times the original recipe, and therefore we need 3w as well.

3.5x2=6+1=7. So we need 7 cups of water.

Now, 6 cups of concentrate + 7 cups of water = 13 cups of orange juice.

Bob can make 13 cups of orange juice.

Hope I helped!

8 0

2 years ago

Write an expression that can be used to multiply 6 times 198 mentally

Zigmanuir [339]

I would half 198, get
99 and add a 0, this is how you multiply by 5 in your head

198*5 = 990
990 + 200 = 1190 - 2
= 1188

Alternatively we can round 198 to 200: then multiply by 6

200*6 = 1200

Then We subtract the 6 "2's" that we added

1200 - 12 = 1188

The expression for this is:
(6*200) - (6 * 2)

5 0

2 years ago

Which composition of transformations maps figure RSTUV to figure R"S"T"U"V"?

Sergeu [11.5K]

Answer:

option: B is correct

A reflection across line n followed by a 270° rotation about point P.

Step-by-step explanation:

Clearly from the figure we could see that the graph is first reflected across the given line n such that we obtain the figure R'S'T'V'U' and then it is rotated 270° across the point P so that we obtain the figure R"S"T"U"V".

Hence, option B is correct.

( A reflection across line n followed by a 270° rotation about point P )

5 0

2 years ago

Read 2 more answers

Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Select three

RSB [31]

Answer:

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

Step-by-step explanation:

we have

$f(x)=x^{2}$

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the origin (0,0)

$g(x)=-5x^{2}+100x-450$

This is a vertical parabola open downward

The vertex is a maximum

The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.

Find the vertex of g(x)

Convert to vertex form

$g(x)=-5x^{2}+100x-450$

Complete the square

$g(x)=-5(x^{2}-20x)-450$

$g(x)=-5(x^{2}-20x+100)-450+500$

$g(x)=-5(x^{2}-20x+100)+50$

$g(x)=-5(x-10)^{2}+50$

The vertex is the point (10,50)

so

To translate the vertex of (0,0) to (10,50)

The rule of the translation is

(x,y) ------> (x+10,y+50)

That means ----> The translation is 10 units at right and 50 units up

therefore

The transformations are

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

5 0

2 years ago

Read 2 more answers