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VMariaS [17]
3 years ago
13

Given that ƒ(x) = x2 + 1 and g(x) = –3, multiply the functions (g · ƒ)(x).

Mathematics
1 answer:
Over [174]3 years ago
3 0

Answer:

(2+1×-3)(x) = 3×(-3)(x) =-9x

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Determine whether the given number is a solution of the given equation.
poizon [28]

Answer:

Yes

Step-by-step explanation:

Switch x for 6:

(6)-8=-2

Subtract 6 from 8:

-2=-2

-2 does equal -2 so 6 is a solution.

4 0
2 years ago
Solve x 2 - 4x - 7 = 0 by completing the square. What are the solutions?
Bingel [31]

Answer:

x = 2±sqrt(11)

Step-by-step explanation:

x^2 -4x - 7 =0

Add 7 to each side

x^2 -4x -7+7 =0+7

x^2 -4x =7

To complete the square take the coefficient of the x term and  divide by 2 and then square it.  Add it to both sides

-4 /2 = -2 then square

(-2)^2 = 4

Add 4 to both sides

x^2 -4x+4 =7+4

x^2 -4x+4 = 11

Factor the left side into (x-b/2)^2

(x-2)^2 =11

Take the square root of each side

sqrt((x-2)^2) =±sqrt(11)

x-2 = ±sqrt(11)

Add to to each side

x-2+2 = 2±sqrt(11)

x = 2±sqrt(11)

3 0
3 years ago
Please Help!! Will Mark Brainliest!!!
Gennadij [26K]

Answer:

a. This data best fits an exponential model.

b. The regression equation would be:  y = 8385(1.12)^x

c. The y-intercept would be the starting value of the account.

d. Yes, the correlation coefficient is 0.9983.

e. If you input 6 into the equation, you will get a value of $16,550.

Step-by-step explanation:

I hope this helps, and I would appreciate the brainiest asap.

8 0
2 years ago
A pyramid is placed inside a prism as shown. The pyramid has the same base area, B, as the prism but half the height, h, of the
gayaneshka [121]

Answer: D) V= 1/6 bh

Step-by-step explanation:

Since according to the given question,  A pyramid is placed inside a prism.

And, The pyramid has the same base area, b, as the prism but half the height, h, of the prism.

Therefore, base area of the pyramid = b

Height of the pyramid = h/2

Since, The volume of the pyramid,

V = 1/3 × base ares × height

V= 1/3 × b × h/2

V= 1/6 bh

Thus the required volume = 1/6 bh cube unit.

Therefore Option D is correct.



7 0
3 years ago
Mike thought of a number. He added to it to two other numbers. One of these numbers was 12 less than his number, the other was 1
Inessa [10]

Answer:

number 1  + number 2 + number 3 = 15

Number 1 = x + 12

Number 2 = x - 12

Number 3 = x

(x + 12) + (x - 12) + x = 15

x + 12 + x - 12 + x = 15

x + x + x +12 -12 = 15

3x = 15

x = 15/3 = 5

Check:

Number 1 = 17

Number 2 = 5 -12 = -7

Number = 5

number 1  + number 2 + number 3 = 15

17 + (-7) + 5 = 15

10 + 5 = 15

15 = 15

Answer is 5

Step-by-step explanation:

5 0
3 years ago
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