Step-by-step explanation:
To cover a rectangular region of her yard, Penny needs at least 217 square feet of sod. The length of the region is 15.5 feet. What are the possible widths of the region?
L=length=15.5 ft; W=width; A=area=>217 sq ft
L*W=>217 sq ft Divide each side by L
W=>217 sq ft/L
W=>217 sq ft/15.5 ft=>14 feet
ANSWER: To cover at least 217 sq ft. the width must be at least 14 feet.
Answer: 0.5
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
g
f
)(x)=
4−5x
3x+2 f (2) = 2(2) = 4
g(2) = (2) + 4 = 6
h(2) = 5 – (2)3 = 5 – 8 = –3
Now I can evaluate the listed expressions:
(f + g)(2) = f (2) + g(2)
= 4 + 6 = 10
(h – g)(2) = h(2) – g(2)
= –3 – 6 = –9
(f × h)(2) = f (2) × h(2)
= (4)(–3)= –12
(h / g)(2) = h(2) ÷ g(2)
= –3 ÷ 6 = –0.5
Step-by-step explanation:
Answer:
x^2 - 5x + 4.
Step-by-step explanation:
(p - q)(x) = x^2 - 1 - (5x - 5)
= x^2 - 5x - 1 + 5
= x^2 - 5x + 4.
Answer: 
Step-by-step explanation:
<h3>
The exercise is:</h3><h3>
"Dana loves rocks! She has 6 pieces of granite, 3 pieces of marble, 14 pieces of sandstone, and 1 piece of slate. What is the ratio of pieces of sandstone to pieces of marble in Dana's collection?"</h3><h3>
</h3><h3>
</h3>
You can use ratio to compare values.
By definition, ratios can be written in the following form:

In this case, you know that the number of pieces of different rocks that Diana has in her collections, are:

Since you must compare the number of pieces of sandstone and the number of pieces of marble in Dana's collection, you need to write the following ratio:

(x,y) or
(x,f(x))
so just plug the first value in and see if yo get the 2nd value
A. when x=-2, then is f(x)=48?
remember, x^-m=1/(x^m)
3(1/4)^-2=3/((1/4)^2)=3/(1/16)=3*16=48
true
B. x^0=1
so 3(1/4)^0=3(1)=3
true
C. when x=2
3(1/4)^2, 3(1/16), 3/16
true
D. 12
das is obviously false but anyway
3(1/4)^12=3(1/big number)=3/big number=small number but not zero
answer is A,B,C