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jeka94
3 years ago
14

If the value of a in the quadratic function f(x) = ax^2 + bx + c is -2, the function will_______.

Mathematics
1 answer:
TEA [102]3 years ago
4 0

Answer:

b open down and have a maximum

Step-by-step explanation:

A negative value for a will make the quadratic function open down

A downward facing parabola will have a maximum

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<img src="https://tex.z-dn.net/?f=%20-%208y%20%5Cgeqslant%2056" id="TexFormula1" title=" - 8y \geqslant 56" alt=" - 8y \geqslant
SCORPION-xisa [38]

Answer:

y ≤-7

Step-by-step explanation:

-8y ≥56

Divide each side by -8.  Remember to flip the inequality

-8y/-8 ≤56/-8

y ≤-7

8 0
3 years ago
Students at Mendel Middle School are planning a fair for their school's fundraiser. Liam volunteers to help plan the event. The
FinnZ [79.3K]

Answer:

15 hours

Step-by-step explanation:

x is the number of hours that Liam volunteered in the first month

The next month he volunteered 1\dfrac{2}{3} times the time he volunteered the first month.

Total time he volunteered in the two months is 40 hours so

x+1\dfrac{2}{3}x=40\\\Rightarrow x+\dfrac{5}{3}x=40\\\Rightarrow \dfrac{3x+5x}{3}=40\\\Rightarrow x=\dfrac{40\times 3}{8}\\\Rightarrow x=15

Time he volunteered in the first month is 15 hours.

3 0
3 years ago
Which graph correctly solves the system of equations below? y = −x2 + x + 7 y = x2 + 3x + 7
antiseptic1488 [7]

Answer:

(-1.703, 2.396)

(1.37, 6.493)

Step-by-step explanation:

We can easily solve this question by using a plotting tool or any graphing calculator,

The solution to the system of equation is given by the intersection points between the graphs of

y1 = −x^2 + x + 7

y2 = x^2 + 3x + 7

Please, see attached picture below.

The solutions are:

(-1.703, 2.396)

(1.37, 6.493)

5 0
3 years ago
A line goes through the point (-8,9), and has a slope of 3/4
olya-2409 [2.1K]

Answer:

y=\dfrac{3}{4}x+15

Step-by-step explanation:

Given that,

A line goes through the point (-8,9), and has a slope of 3/4.

We need to express in the form of Ax+B for this line.

We have, m = 3/4

So,

y=\dfrac{3}{4}x+B

Put y = 9 and x = -8 in the above equation.

9=\dfrac{3}{4}(-8)+B\\\\9=-6+B\\\\9+6=B\\\\B=15

So,

y=\dfrac{3}{4}x+15

It is the required equation of the line.

6 0
3 years ago
Sao can text 1500 words per hour. He needs to text a message with 85 words. He only has 5 minutes between classes to complete th
Amiraneli [1.4K]
First divide 1500 by 60 to see how many words he can write in a minute. he can text 25 words a minute. multiply that by five to see how many words he can text in five minutes. he can text 125 words in five minutes, so he can text 85 words in a minute.

The answer is yes.
5 0
4 years ago
Read 2 more answers
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