Answer:
When solving for a variable, you undo all operations done to that variable.
In the equation 6x - 3 = -51 we see on the left-hand side that the variable x is being multiplied by 6 and subtracted 3 times.
We can reverse the subtraction operation by using the inverse of subtraction.
Which is the addition operation. If we add 3 to the left-hand side, the -3 term will disappear.
But wait! Anything we do on one side we must do also on the opposite side.
6x - 3 + 3 = -51 + 3
6x = -48
Now how can we undo the multiplication operation done to x?
We can use division. It will make the 6 coefficient disappear!
6x / 6 = -48/6
x = -8
<h3>So, x is equal to -8. (C)
</h3>
Without the image, I assume the two semicircles are on each end of the rectangle.
Rectangle; A = lw
A = 98 x 76
A = 7,448 square meters
Put the two semicircles together to form a circle; A = π
A = (3.14)(
)
A = 3.14 x 76 = 5,776 square meters
7,448 + 5,776 = 13,224 square meters
Answer:
<u>D) (f o g)(x) = 10x² - 60x + 93</u>
Step-by-step explanation:
f(x) = 10x² + 3
g(x) = x - 3
⇒ (f o g)(x)
⇒ f(x - 3)
⇒ f(x - 3) = 10(x - 3)² + 3
⇒ f(x - 3) = 10(x² - 6x + 9) + 3
⇒ f(x - 3) = 10x² - 60x + 90 + 3
⇒ <u>(f o g)(x) = 10x² - 60x + 93</u>
Answer:
yes
Step-by-step explanation:
y=-16r^2+63r+4
maximum value of y :
y'=0
-32r +63=0
r= 63/32
y = -16(63/32)²+63(63/32)+4
= -4 + 124 + 4 = 124 ft
124 > 68
the Arrow can pass over the tree
