Answer:
the first option
Step-by-step explanation:
(f-g)(x) simply means to subtract both expressions. really literally.
and we go through it power by power of x.
the highest power/exponent of x is 3 (x³). only f(x) has one.
so, -7x³ is the first part of f-g.
next is x².
11x² - 6x² = 5x², which is the second part of f-g.
next is x.
-8x - (-14x) = -8x + 14x = 6x, which is the third part of f-g.
next is x⁰ (in other words, no x, just a constant).
4 - (-3) = 4 + 3 = 7, which is the 4th part of f-g.
we have no x to the power of -1 or -2, so we have -3
0 - (-4x‐³) = 4x‐³, which is the last part of f-g.
so, it is clearly the first answer option.
Answer:
28.25 square units
Step-by-step explanation:
A circumference of the circle is

where r is the radius of the circle.
So,

The area of the circle is

Substitute the value of the radius:
Answer:
D)
Step-by-step explanation:
7x + 4 = 3x + 68
7x - 3x = 68 - 4
4x = 64
x = 64/4
x = 16
I Hope I've helped you.
Answer:
1. 424
2.471
3.512
Step-by-step explanation:
1. 10×12+8×10+8×13+8×15
=120+80+104+120
=424
2. 5×24+9×24+9×15+9×15
=120+216+135
=471
3. 24×16+2×24+2×20+2×20
=384+48+40+40
=512
Answer: C. (-4, -2)
<u>Step-by-step explanation:</u>
First, eliminate one of the variables and solve for the remaining variable:
2x - 5y = 2 → 3(2x - 5y = 2) → 6x - 15y = 6
3x + 2y = -16 → -2(3x + 2y = -16) → <u> -6x - 4y = 32</u>
-19y = 38
y = -2
Next, replace "y" with -2 into either of the original equations to solve for x:
2x - 5y = 2
2x - 5(-2) = 2
2x + 10 = 2
2x = -8
x = -4
x = -4, y = -2
<u>Check:</u>
Plug in the x- and y-values into the other original equation:
3x + 2y = -16
3(-4) + 2(-2) = -16
-12 + -4 = -16
-16 = -16 