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Ket [755]
4 years ago
8

Amaya's test scores in Algebra 1 are 78 and 91. She has one more test left and wants to earn a B for the course, which is from 8

0-89 inclusive. Write a compound inequality to represent the situation
Mathematics
1 answer:
ICE Princess25 [194]4 years ago
3 0
Let x be the score Amaya gets on the final test. She wants her average of all 3 tests to be between 80 and 89: 

<span>80 ≤ (78 + 91 + x) / 3 ≤ 89 </span>

<span>Multiply everything by 3: </span>
<span>240 ≤ 78 + 91 + x ≤ 267 </span>
<span>240 ≤ 169 + x ≤ 267 </span>

<span>Subtract 169 from everything: </span>
<span>240 - 169 ≤ x ≤ 267 - 169 </span>
<span>71 ≤ x ≤ 98 </span>

<span>Answer: </span>
<span>She needs to score between 71 and 98 to get a B for the course.</span>
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occurs at

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=

−

b

2

a

Find the value of

x

equal to

−

b

2

a

.

x

=

−

b

2

a

Substitute in the values of

a

and

b

.

x

=

−

−

12

2

(

2

)

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x

=

−

−

12

2

(

2

)

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−

−

12

2

(

2

)

.

Tap for more steps...

x

=

3

The maximum or minimum of a quadratic function occurs at

x

=

−

b

2

a

. If

a

is negative, the maximum value of the function is

f

(

−

b

2

a

)

. If

a

is positive, the minimum value of the function is

f

(

−

b

2

a

)

.

f

min

x

=

a

x

2

+

b

x

+

c

occurs at

x

=

−

b

2

a

Find the value of

x

equal to

−

b

2

a

.

x

=

−

b

2

a

Substitute in the values of

a

and

b

.

x

=

−

−

12

2

(

2

)

Remove parentheses.

x

=

−

−

12

2

(

2

)

Simplify

−

−

12

2

(

2

)

.

Tap for more steps...

x

=

3

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Answer:

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Step-by-step explanation:

this is how many inches

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