Given the following function , find f(-2) ,f (0) and f(2) F(X)=-3x-3 F(-2) = help me please i don't understand

Answers

Answer 1

Answer:

Answer:

$\large{f(-2)=3\n\nf(0)=-3\n\nf(2)=-9}$

Step-by-step explanation:

$f(x)=-3x-3\n\nf(-2)\to\text{put x = -2 to the equation of the function}\ f(x):\n\nf(-2)=-3(-2)-3=6-3=3\n-------------------------\nf(0)\to\text{put x = 0 to the equation of the function}\ f(x):\n\nf(0)=-3(0)-3=0-3=-3\n------------------------\nf(2)\to\text{put x = 2 to the equation of the function}\ f(x):\n\nf(2)=-3(2)-3=-6-3=-9$

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The value z is directly proportional to c. When z = 20, c = 10. Find an equation relating z and c. *

Answers

Answer:

a) The equation of Z and C is Z =K C

b) K = 2

Step-by-step explanation:

Explanation:-

Given data Z is directly proportional to C

⇒ Z ∝ C

⇒ Z = K C

The equation of relating Z and C

Z = K C

Given Z = 20 and C =10

20 = K ( 10)

⇒ K = 2

The ray XZ is the angle bisector of ∠WXY and m∠WXY = 105°. Enter m∠WXZ. The measure of ∠WXZ is

Answers

Answer:

52.5°

Step-by-step explanation:

Given : The ray XZ is the angle bisector of ∠WXY and m∠WXY = 105°.

To Find : The measure of ∠WXZ is ?

Solution:

∠WXY = 105°

The ray XZ is the angle bisector of ∠WXY

This means XZ divides the ∠WXY in two equal angles i.e. ∠WXZ and ∠ZXY

So, ∠WXY = ∠WXZ + ∠ZXY

∠WXY = 2∠WXZ

$105 = 2 \angle WXZ$

$52.5 =\angle WXZ$

Hence The measure of ∠WXZ is 52.5°

∠WXZ = 52.5°

∠WXY = 105°

and ∠WXY = ∠WXZ + ∠ZXY

∠WXZ = $(105)/(2)$ = 52.5°

An electronics firm sells four models of stereo receivers, three CD decks, and six speaker brands. When the three types of components are sold together, they form a "system." How many different systems can the electronics firm offer?A. 169
B. 72
C. 13
D. 36

Answers

Answer:

B. 72

Step-by-step explanation:

The total number of different systems that can be bundled together is the product of the possible number of ways to select 1 out of 4 stereo receivers, by 1 out of 3 CD decks and by 1 out of 6 speakers. Assuming that the order at which products are picked does not matter, the number of different systems is:

$n=(4!)/((4-1)!1!)*(3!)/((3-1)!1!)*(6!)/((6-1)!1!)\nn=4*3*6\nn=72\ systems$

The electronics firm can offer 72 different systems.

Did i do this correctly?

Answers

Answer:

R" has coordinates (-4,6)

Explanation:

The pre-image is the original, while the image is the altered form. The image is notated by a '. When you alter the image ('), you get ".

T is dilated (multiplied) by 5, so it goes from T = (1,-2) to T' = (5, -10)

R = (-2, 3) → (multiply by 5) → R' = (-10, 15) → (multiply by 2/5 or 0.4) → R" = (-4, 6)

Which of the following is the equation of the line that is parallel toy= 3/5x+ 8 and goes through point (-10,4)?
Select one:
a. y = 5/3x + 20 2/3
b. y=-5/3x – 12 2/3
c.y= 3/5x + 10
d. y = -3/5x-2