9. D because it fits the description when it is graphed.
11. D because it has the correct vertex, which is (1.5, 4.75).
12. f(x)=-4(x-2)²+16 works with the table and provided graph!
13. 0 isn't a zero for f(x), so B is correct (the zeros are 1/2 and 4).
14. The width is about 3.831.
15. The answer is B because the equation for a parabola in this form is:
f(x) = (x - r₁)(x - r₂)
Every one of these except for 15 was solved using desmos, a graphing calculator.
Hope this helps!
An = a1 + (n - 1)(d)
Where a1 is the first term and d is the common difference.
First find d, the common difference.
24, ____, 32
a3 a4 a5
Subtract 32-24 = 8
Subtract a5 - a3 = 2
Divide 8/2 = 4
d = 4
Use d and one of the values they give us to find a1.
a3 = 24
24 = a1 + (3 - 1)(4)
24 = a1 + 2(4)
24 = a1 + 8
Subtract 8 from both sides
16 = a1
an = 16 + (n - 1)(4)
Can also be written
an = 16 + 4n - 4
an = 4n + 12
Answer:
(1;-2)
Step-by-step explanation:
x=-2y-3
2(2y+3)=-6y-9-5
10y=-20
y=-2
x=4-3=1
Answer:
x = 2/3, -2/3
Step-by-step explanation:
Solve the equation for x by finding a
, b
, and c of the quadratic then apply the quadratic formula.
Given two reference points, we want to answer some questions, the answers are:
- a) The 0 should represent the surface of the water of the pool.
- b) The slide is 12 ft above the zero (12ft above the surface of the water)
- c) She should mark the pole with a -4 on the number line.
So we start with two reference points:
- -8, which represents the depth of water in the swimming pool.
- 12, which represents the height of the slide at the pool.
So positive numbers represent height, negative ones represent depth.
A) Here the 0 should represent the surface of the water of the pool.
B) on this situation, we should see that the slide is at 12, meaning that is 12 ft above the surface of the water in the pool.
C) The pole is at a depth of 4 ft, and 0 represents the surface, then -4 will represent the depth of the pole when it is at a depth of 4 ft. She must mark the level of the pole as a -4 on the number line.
If you want to learn more, you can read:
brainly.com/question/10979298