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3 years ago

Determine the effects on the graph of the parent function ƒ(x) = x for the g(x) function.

Mathematics

1 answer:

love history [14]3 years ago

8 0

Answer:

We can define a horizontal dilation/contraction of scale factor A, as:

g(x) = f(x*A)

if A > 1, this will be a contraction (it will be steeper)

if 0 < A < 1, this will be a dilation. (it will be less steep)

Then if we have:

g(x) = f(6*x) we have a contraction of scale factor 6, this means that the graph of the parent function will be contracted.

Below, you can see how the graphs change, where:

Blue is f(x) =x

green is g(x) = f(6*x) = 6*x

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You lean a 30 foot ladder against your house and it reaches exactly to the top. The ladder makes a 24 degree angle with the grou

Furkat [3]

Sin 24 = h/30

h = 30 sin 24 = 12.2 ft

5 0

3 years ago

Each week, a cook purchases 12 pounds of butter. During the last year, the cook has paid as little as $23.04 and at much as $29.

Tatiana [17]

Each week, a cook purchased 12 LBS. of Butter:

During the Last year: (12 Months):

Cook Paid:

Little: $23.04

Much: $29.40, For Butter he or she purchased in a week:

Question: is: what is the Difference between, the Greatest price per pound, and the least price per pound of butter the cook paid within the last year?

EQUATION:

Least Paid / 12 =====> 23.04 /12

Most Paid / 12 ======> 29.40 / 12

Divide:

23.04 / 12 = 1.92 / LB

29.40 / 12 = 2.45 / LB

Now Subtract:

2.45 - 1.92

Answer ======> 0.53 is the difference, between the greatest price per round, and least price per round of butter the cook would have paid within the last year.

Hope that helps!!! : )

4 0

3 years ago

An object at the top of a building with height 110 feet is thrown upward with an initial speed of 23 ft/s. Find its position z(t

alina1380 [7]

Answer:

Step-by-step explanation:

Given

Height of building is $h=110\ ft$

Initial upward velocity $u=23\ ft/s$

height of object is given by

$z(t)=ut+\frac{1}{2}gt^2$

but building is already at a height of 110 ft so z(t) must be given by

$Z(t)=ut+\frac{1}{2}(-g)t^2+110$

$Z(t)=23\times t-\frac{1}{2}\times 9.8\times t^2$

$Z(t)=-16t^2+23t+110$

Time when it hits is given by when Z(t)=0[/tex]

$-16t^2+23t+110=0$

$t=\frac{-23\pm \sqrt{(23)^2-4\times (-16)\times 110}}{2\times (-16)}$

$t=\frac{-23\pm 87}{-32}$

$t=3.43\ s$

6 0

3 years ago

What is the value of X?

katovenus [111]

Answer:

The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa"

Step-by-step explanation:

7 0

3 years ago

I honestly don’t understand this ::))

GrogVix [38]

Answer:

Answer is 100 sq m

Step-by-step explanation:

A = $a^{2}$