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2 years ago

Select the correct answer. If , which statement is true? if g(x) = f(1/3x)

Mathematics

1 answer:

sergey [27]2 years ago

6 0

Answer:

B. The graph of function f is stretched horizontally by a scale factor of 3 to create the graph of function g.

Step-by-step explanation:

The rules for linear transformations are that

g(x) = a·f(b·(x-c)) +d

stretches the graph vertically by a factor of "a" (before the shift)

compresses the graph horizontally by a factor of "b" (before the shift)

shifts it to the right by amount "c"

shifts it up by amount "d".

Your equation has b=1/3, so the graph is compressed by a factor of 1/3, which is equivalent to a stretch by a factor of 3.

The appropriate choice of description is ...

b) the graph of g(x) is horizontally stretched by a factor of 3

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In the Itty Bitty High School, there are 85 students. There are 27 students who take French, 51 who take Geometry and 38 who tak

andrew-mc [135]

Answer:

58 students

Step-by-step explanation:

Given

$Total = 85$

$French = 27$

$Geometry = 51$

$History = 38$

$None = 5$

$All = 2$

Required

Students that take only 1 subjects

The attached image illustrates the question.

For French only (x), we have:

$x + 7 -2+10-2+2=27$

$x + 15=27$

Collect like terms

$x =- 15+27$

$x =12$

For Geometry only (y), we have:

$y+10-2+15-2+2=51$

$y+23=51$

Collect like terms

$y=-23+51$

$y=28$

For History only (z), we have:

$z +15-2+7-2+2=38$

$z +20=38$

Collect like terms

$z =-20+38$

$z =18$

Students with one subject is then calculated as:

$1\ subject = x+y+z$

$1\ subject = 12 + 28 + 18$

$1\ subject = 58$

5 0

2 years ago

WILL MARK BRINLIEST. Can someone help me wit den two questions?

VLD [36.1K]

Answer:1. B 2. D

Step-by-step explanation:

4 0

2 years ago

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What is the product? 3x^5(2x^2+4+1)

const2013 [10]

Answer:

$6x^{7} +15x^{5}$

Step-by-step explanation:

$3x^{5}$ ( $2x^{2} +4+1$ )

Multiply $3x^{5}$ by each term in the parentheses.

$6x^{7}$ + $12x^{5} +3x^{5}$

Now, all you have to do is simplify.

$6x^{7} +15x^{5}$

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3 years ago

A recipe calls for 1 ½ cups of flour, 2/3 cup of white sugar, and 1/3 cup of brown sugar. The recipe makes 6 servings. A) How ma

Goryan [66]

A) How many cups of flour are there per serving?

1 ½ cups of flour --------6 servings
? cups of flour ------- 1 serving

1 ½
------------
6

= 3/2 x 1/6
= 1/4

answer: 1/4 cups of flour per serving

B) how many total cups of sugar(white and brown) are there per serving?
total white and brown: 2/3 + 1/3 = 3/3 = 1 cups (combine)

1 cup of sugar (white and brown) --------6 servings
? cups of sugar (white and brown) ------ 1 serving

1
----- = 1/6
6
answer: 1/6 cups of sugar (white and brown) per serving

 (c) Suppose you modify the recipe so that it makes 9 servings. How much more flour do you need for the modified recipe than you need for the original recipe?

3/2 cups of flour --------6 servings
? cups of flour -----------9 servings

9 * 3/2
-----------
6

= (13 1/2) / 6
= 2 1/4

2 1/4 ( 9 servings) - 1 1/2(6 servings) = 3/4 cups

answer: you need 3/4 more cups of flour

6 0

2 years ago

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If you have 440 red and blue buttons predict how many would be red.

riadik2000 [5.3K]

Answer:

maybe 220/440?

Step-by-step explanation:

7 0

2 years ago

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