Answer:
D and E
Step-by-step explanation:
f(x) = (x - 3)² - 25
x intercepts occur when y = 0
0 = (x - 3)² - 25
25 = (x - 3)²
±5 = x - 3
x = 8, or -2
A) g(x) = 2x + 2
0 = 2x + 2
x = -1 Nope
B) h(x) = 2x + 6
0 = 2x + 6
x = -3 Nope
C) q(x) = -4x + 11
0 = -4x + 11
x = 11/4 Nope
D) r(x) = -3x - 6
0 = -3x - 6
x = -2 YES
E) w(x) = 3x - 24
0 = 3x - 24
x = 8 YES
Answer:
A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.
Step-by-step explanation:
We have the equation:
|8 - 2*p| = 6
Remember that the equation:
|f(x)| = A
with A > 0
means that:
f(x) = A
or
f(x) = -A
Then for our case, we can rewrite:
|8 - 2*p| = 6
as:
(8 - 2*p) = 6
or
(8 - 2*p) = -6
Now we can solve these two equations to find the two possible values of p.
From the first one, we get:
8 - 2*p = 6
8 - 6 = 2*p
2 = 2*p
2/2 = p = 1
so one solution is p = 1
Now from the other equation, we can get the other solution:
(8 -2*p) = -6
8 - 2*p = -6
8 + 6 = 2*p
14 = 2*p
14/2 = p = 7
So the two solutions are p = 1 and p = 7
Then the correct option is:
"A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7."
Answer:
33.3 pounds
Step-by-step explanation:
Alright, so if she made a 100 percent on the gloves, then she sold them for 8 dollars, because 4 + 1.00(4) = 8.
48 - 8 = 40
She sold the skirt for 40 dollars, and if that's at a 20 percent profit, then we can do a proportion
If we solve for x, we figure out that x = 33.33333 repeating.
So out answer to the nearest decimal place is 33.3 pounds
It can be either B. 11 or C. -11
Answer:
y = -3x + 41
Step-by-step explanation:
All you need to do is expand everything and solve for y.
y- 5 = -3(x - 12)
y - 5 = -3x + 36
y = -3x + 41
I hope this helped!
