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Murljashka [212]
3 years ago
5

Suppose f(x) = x^2– 7. and g(x) = 5 – x^2 ,then g(f(-4)) =

Mathematics
2 answers:
motikmotik3 years ago
8 0

Answer:

- 76

Step-by-step explanation:

To evaluate g(f(- 4)) , evaluate f(- 4) then substitute this value into g(x)

f(- 4) = (- 4)² - 7 = 16 - 7 = 9, then

g(9) = 5 - 9² = 5 - 81 = - 76

iogann1982 [59]3 years ago
7 0

Answer:

-76

Step-by-step explanation:

f(x) = x^2– 7. and g(x) = 5 – x^2 ,then g(f(-4)) =

-76

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John rolls a six-sided number cube twice. What is the probability of getting an even number and then an odd number?
lubasha [3.4K]

Answer:

Option 2 - \text{Probability}=\frac{1}{4}

Step-by-step explanation:

Given : John rolls a six-sided number cube twice.

To find : What is the probability of getting an even number and then an odd number?    

Solution :              

When rolls a six-sided number cube twice

(1,1)  (1,2) (1,3)  (1,4)  (1,5)  (1,6)  

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)  

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)  

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)  

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)  

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)  

Now,  

\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}

Favorable outcome of getting an even number and then an odd number:

(2,1) (2,3) (2,5) (4,1) (4,3) (4,5) (6,1) (6,3) (6,5)

So, Favorable outcome = 9

Total number of outcome = 36

\text{Probability}=\frac{9}{36}

\text{Probability}=\frac{1}{4}

Therefore, Option 2 is correct.

4 0
3 years ago
ONLY ANSWER IF YOU HAVE THE ANSWER P L E A S E
Nadusha1986 [10]

Answer:

Linear: greater than 2011

Quadratic: lesser than 2011

Cubic: lesser than 2011

Step-by-step explanation:

At x = 2

Linear regression equation:

y = -6777.54(2) + 110001.04

y = 96445.96

More than 2011

Quadratic: y = -251.10(2)² - 2760.02(2) + 98618.06

y = 92093.62

lesser than 2011

Cubic: y = -6.23(2)² - 101.67(2)² - 3747.49(2) + 100142.23

y = 92190.73

lesser than 2011

3 0
2 years ago
Please help me!!!
nikitadnepr [17]

Answer:

B

Step-by-step explanation:

The answer is option B

When drawn option B looks like the image

it crosses at the points (-1,-3), (0,-2),(2,0)

rearranging the equations and drawing a table graph shows how to draw the lines

5 0
3 years ago
the diameter of the a sphere is increading at the rate of 2cm. per minute. Find the rate of change of the radius
____ [38]
So...the diameter is increasing at a rate if 2cm/minute, therefore the radius (1/2 the diameter) is increasing at half the rate. You will learn how to calculate the rate of change at a specific point in time in calculus.
3 0
3 years ago
Can anybody help out this math question it’s about graph please
malfutka [58]

Neither one of the slopes are going to be minus. It means you are travelling backwards in time, which is wonderful if you are a sci-fi fan, but not so good if you are Sharon. A and D has Sharon going from 70 to 0. That can't be happening so both are wrong.


Now you have to decide between B and C. The intersection point has Sharon going upwards until she is 20. She started out at 70. The graph has John starting at 70. That's not right.


So we've eliminated A,D and now C.


The answer must be B. They meet when Sharon is 90 and John is about 22.5 which is what it should be.

6 0
2 years ago
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