Answer: (16) B (17) C (18) A (19) C (20) B
<u>Step-by-step explanation:</u>
m > 18 or m < -18
17. -5 | 2b - 8| > -90
| 2b - 8| < 18
2b - 8 < 18 or 2b - 8 > -18
2b < 26 2b > -10
b < 13 or b > -5
| -2 + 6b| < 30
-2 + 6b < 30 or -2 + 6b > -30
6b < 32 6b > -28
b < 32/6 b > -28/6
b < 16/3 or b > -14/3
19) |9 - 2x| - 4 ≤ -1
|9 - 2x| ≤ 3
9 - 2x ≤ 3 or 9 - 2x ≥ -3
-2x ≤ -6 -2x ≥ -12
x ≥ 3 or x ≤ 6
20) | 5 - 6x | - 2 < 53
| 5 - 6x | < 55
5 - 6x < 55 or 5 - 6x > -55
-6x < 50 -6x > -60
x > -50/6 x < 10
x > -25/3
$49 As 1 bag is $1.50. Multiplied by 30 results in $45. Then, add the price of the gallon to get a total of $49.00
Answer:
So starting off with 1a f(4)
We simply substitute x with 4 for the function
f(4)=2(4)-5
f(4)=8-5
f(4)=3
Next 1b, here it's a little different since you have to multiply the functions I think ( please correct me if I'm wrong).
gf(4), basically means functions g and f are being multiplied and their variables are being substituted with 4.
g(4)=4^2+3
g(4)=16+3
g(4)=19
and we also know from before that f(4)=3, so we'll do 19 times 3 which is 57
For the next two, I may be wrong, but I'm still going to try:
anything to the power of a negative is a fraction so for f^-1(x)=2x-5 we'll have 1/f(x)=x/2+5/2
And then for g^-1, we'll have 1/g(x)=
Hope I helped :)
To solve this question, simply use the formula to find the volume of the cylinder,
V = Pi r^2 • h
V = 3.14 • 4^2 • 4.
Then compare the value for volume to the closest number on the number line. Is it in between 2 numbers, exactly one number on the number line or very close to one number as in the number line.
Answer:
He did not multiply 2/3 by a fraction equal to 1.
Step-by-step explanation:
For example he could have multiplied 2/3 by 4/4
= 2*4/3*4 = 8/12,
