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musickatia [10]
2 years ago
13

The function g is defined as follows.

Mathematics
1 answer:
Radda [10]2 years ago
3 0

Answer:

h(x) =  2x²+2

Step-by-step explanation:

Given the function g is defined as follows.

g(x) = 2x²+7

If the graph is translated by 5units vertically downwards, this means that the function will be reduced by 5 units to have;

h(x) =  2x²+7 - 5

h(x) =  2x²+2

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Ox=20
nexus9112 [7]

No, it is not possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95

<h3>How to form a linear equation</h3>

Let the time taken to play basketball be "x"

Let the time taken to play volleyball be "y"

According to the information given, Eric plays basketball and volleyball for a total of 95 minutes every day, then;

x + y = 95

If he plays basketball for 25 minutes long, then;

x = 25

The pair of linear equations that represents the statement are:

x  + y = 95
x = 25

The time it takes Eric to play volleyball every day is expressed as:

y = 95 - x

y = 95 - 25

y = 70 minutes

No, it is not possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95

Learn more on linear equations here: brainly.com/question/14323743

3 0
2 years ago
The table below represents a proportional relationship. The unit rate of the relationship is
jek_recluse [69]

Answer:

the unit rate is 3

7 0
3 years ago
Simplify the algebraic expression.<br><br> –9(–8p + 12) – 6p
ArbitrLikvidat [17]

Answer:

66+12

Step-by-step explanation:

simplified answer

8 0
2 years ago
Read 2 more answers
the first group of students consists of 10 and their average age was 13 years old the next group consisted of 30 students and th
Kazeer [188]

Answer: The average was 9 years old find the average age of both groups is 10 years old.

Step-by-step explanation:

Formula foe average : \text{Average} =\dfrac{\text{Sum of all observations}}{\text{Number of observations}}

Given : The first group of students consists of 10 and their average age was 13 years old.

i.e. 13=\dfrac{\text{Sum of ages of students of first group}}{10}\\\\\Rightarrow\ \text{Sum of ages of students of first group}=13\times10=130      (1)

The next group consisted of 30 students and their average was 9 years old.

i.e. 9=\dfrac{\text{Sum of ages of students of next group}}{30}\\\\\Rightarrow\ \text{Sum of ages of students of nextgroup}=9\times30=270      (2)

Then from (1) and (2) , the sum of both groups (first group and next group )students = 130+270 =400

Combined students of both groups (first and next group )= 10+30=40

Now , the average of both groups =\dfrac{\text{Sum of combined students}}{\text{combined students}}

=\dfrac{400}{40}=10

Hence, the average was 9 years old find the average age of both groups is 10 years old.

4 0
3 years ago
Which conclusion is supported by the data from the multiple-year samples? Check all that apply
dedylja [7]

Answer:

B and C

Step-by-step explanation:

4 0
3 years ago
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