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Jet001 [13]
3 years ago
14

Which points are solutions

Mathematics
1 answer:
Liula [17]3 years ago
3 0
A, C and E all work in the equations. In order for them to work, you must use the ordered pair in each of the three situations. Below is the work for all of the correct answers. 

Ordered Pair A : (1, -1)
y < x + 1
-1 < 1 + 1
-1 < 1 (TRUE)

y < 4
-1 < 4 (TRUE)

x < 6 
1 < 6 (TRUE)

Ordered Pair C : (4, 2)
y < x + 1
2 < 4 + 1
2 < 5 (TRUE)

y < 4
2 < 4 (TRUE)

x < 6 
5 < 6 (TRUE)

Ordered Pair E : (4, -2)
y < x + 1
-2 < 4 + 1
-2 < 5 (TRUE)

y < 4
-2 < 4 (TRUE)

x < 6 
4 < 6 (TRUE)
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Given the functions k(x) = 2x2 − 7 and p(x) = x − 4, find (k ∘ p)(x).
Fynjy0 [20]

For this case we have the following functions:

k (x) = 2x ^ 2-7\\p (x) = x-4

We must find(k_ {0} p) (x). By definition of compound functions we have to:

(k_ {0} p) (x) = k (p (x))

So:

Taking into account that:

(a-b) ^ 2 = a ^ 2-2ab + b ^ 2

Different signs are subtracted and the major sign is placed.

k (p (x)) = 2 (x-4) ^ 2-7 = 2 (x ^ 2-2 (x) (4) + 4 ^ 2) -7 = 2 (x ^ 2-8x + 16) -7 = 2x ^ 2-16x + 32-7 = 2x ^ 2-16x + 25

Finally we have to:

(k_ {o} p) (x) = 2x ^ 2-16x + 25

Answer:

(k_ {o} p) (x) = 2x ^ 2-16x + 25

8 0
3 years ago
A medical student is conducting a study to track boys’ weight from age 5 to age 18. The student graphs some data and determines
katrin2010 [14]

Answer:

A. The increase in the number of pounds a boy gains each year.

Step-by-step explanation:

A medical student is conducting a study to track boys’ weight from age 5 to age 18. The student graphs some data and determines the line of best fit is  

y = 1.73x + 80.13 ............ (1)

where x represents the age of the boys and y represents the weight of the boy corresponding to his age.

Therefore, the slope of the equation (1) represents the increase in the number of pounds a boy gains each year. (Answer)

4 0
3 years ago
Choose a system and make a case for why you would
Elenna [48]

Answer:

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other.

Step-by-step explanation:

3 0
3 years ago
From a team of 5 students , two are chosen at random, without replacement. Calculate probability that the 1st student chosen is
choli [55]

Answer

1/20

Step-by-step explanation:

Compound Probability=Probability1*probability2

Probability that the 1st student chosen is team leader:1/5

The 2nd student chosen is assistant leader:1/4 as one person is already chosen

multiply 1/5 by 1/4 you get 1/20

7 0
3 years ago
(Please help its due in 5 min!!!!)A study was designed to determine the relationship between driving speed and gas consumption f
S_A_V [24]
B. The independent variable is the driving speed, and the dependent variable is the gasoline consumption.

Gasoline consumption will either increase or decrease based on the driving speed of the car.

The weight of the car is not essential in determining the relationship between driving speed and gas consumption.

6 0
4 years ago
Read 2 more answers
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