If f(x) = x + 1, and g(x) = 2x the g(f(x)) =

Please help me with this !! I REALLY need to have good grades because...Back story I had my phone and I broke it and I can't get

nevsk [136]

Answer:

Transformation include reflecting and dilating of points

The scale factor from PQR to P'Q'R' is 1/4

The coordinates of P"Q"R" are P"=(-1,0) Q"=(0,-1) R"=(2,-1) .

PQR and P′'Q′'R′' are not congruent

The points are given as:

p=(4,0)

q=(0,-4)

r=(-8,-4)

p'=(1,0)

q'=(0-1)

r'=(-2,-1)

(a)The scale factor from PQR to P'Q'R

To do this, we make use of corresponding sides QR and Q'R

So, the scale factor (k) is:

k=q'r'/qr

k=2/8

k=1/4

(b) The coordinates of P"Q"R from reflecting P'Q'R' about the y-axis

The rule of this transformation is:

(x,y)--------(-x,y)

So, we have:

p"=(-1,0)

q"=(0,-1)

r"=(2,-1)

(c) Are triangle PQR and P"Q'R" congruent?

No they are not

This is so because

PQR was dilated by 1/4 to get P'Q'R

P'Q'R' and P"Q"R" are congruent

Hence, PQR and P′'Q′'R′' are not congruent

Step-by-step explanation:

4 0

2 years ago

A cell phone costs $170 and has a tax rate of 7%. Write and Solve a proportion to find how much tax is paid on the cell phone.

daser333 [38]

Answer:

$11.9

Step-by-step explanation:

We are given;

The cost of the cell phone is $170

Tax rate is 7%

We are required to find how much tax is paid on the cell phone.

The tax rate is 7% of the cost of the cell phone

That is;

7% of $170

also; 7/100 of $170

Thus, tax paid = 7/100 × $170

= $11.9

Thus, the tax paid on the cell phone is $11.9

3 0

3 years ago

1. A rectangle has a length of 15 centimeters and a width of 8

Ksivusya [100]

Answer: radius = 6.18 (I don't know what solutions you have, but the actual answer for the radius is about 6.18 cm so which ever is closest.)

Step-by-step explanation:

the area of a circle is \pi r^{2}

*rewrite your equation solving for radius

r=\sqrt{A/\pi } =\sqrt{120/\pi } = 6.18

6 0

3 years ago

The graph models the function y = −x2 − x + 6. Which attribute(s) of the graph tell you the root(s) of the function? Determine t

Alex73 [517]

In a graph the roots of the function are given by the cut points with the x axis.
On the other hand, we have the following equation:
y = -x2 - x + 6
To find the roots, we equate to zero:
-x2 - x + 6 = 0
Rewriting we have:
x2 + x - 6 = 0
(x-2) (x + 3) = 0
The roots are:
x1 = 2
x2 = -3
Answer:
The roots are:
x1 = 2
x2 = -3

7 0

3 years ago

Read 2 more answers

I need help with this one plz! (marking BRAINLIST) :)

miskamm [114]

Answer: (a) = 110 degrees, (b) = 8

If I understand the picture correctly, (a) wants you to find the angle K. It first shows us that both J to K, and L to K are equal in length of 11, thus there is no deviation in angle 35 degrees with L (so they both equal each other). Therefore, the angle K will equal 180 degrees subtracted by the sum of J and L, which is 110 degrees.

For (b), it appears that all the angles have the same singular mark at the edges, so all sides will equal 8.

I hope this helped!

3 0

2 years ago