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nordsb [41]
3 years ago
9

Given the function h(x) = x2 – 7x + 6, determine the average rate of change of

Mathematics
1 answer:
guapka [62]3 years ago
4 0

Step-by-step explanation:

the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

so,

(h(7) - (h(3)) / (7 - 3)

h(7) = 7² - 7×7 + 6 = 49 - 49 + 6 = 6

h(3) = 3² - 7×3 + 6 = 9 - 21 + 6 = -6

7 - 3 = 4

(6 - -6)/4 = 12/4 = 3

the average change rate in that interval is 3 (or fully 3/1).

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Let f ( x ) = 2 x − 1 , g ( x ) = 3 x , and h ( x ) = x ^2 + 1 , what is h( h ( 5) ) ?
strojnjashka [21]
First you would solve for h(5) by plugging in 5 as your x, then solving it.

h(5) = 5^2 + 1
h(5) = 25 + 1
h(5) = 26

Next you would multiply the 26 by the individual h, which is basically h(1).

h(1) = 1^2 + 1
h(1) = 2

Lastly you multiply your h(1) value by the h(5) value to get your answer.

h(1) • h(5) = 26 • 2
h[h(5)] = 52
7 0
4 years ago
A^2+10a+24 does anyone know how to do it
Komok [63]

Answer:

(a  + 4)(a + 6)

Step-by-step explanation:

f(a) = a² + 10a + 24

I think you are asking us to factor the quadratic.

1. Multiply the leading coefficient and the constant

1 × 24 = 24

2. Find two numbers that multiply to give 24 and add to give 10.

Possible pairs are 1, 24; 2, 12; 3, 8; 4, 6

Start with the numbers near the end of the list.

By trial and error, you will find that 4 and 6 work:

4 × 6 = 24 and 4 + 6 = 10

3. Rewrite 10a as 4a + 6a

a² +4a + 6a +24

4. Factor by grouping the first two and the last two terms

a(a + 4) + 6(a + 4)

5. Distribute the a + 4

(a  + 4)(a + 6)

a² + 10a + 24 = (a  + 4)(a + 6)

8 0
4 years ago
SOMEONE HELP ME WITH MATH PLEASE !
Alla [95]

Answer:

C

Step-by-step explanation:

First, eliminate choice B b/c the max is 28, not 26.

Next, lets find the median.

(12+18+20+20+24+26+28+28) = (20+24)/2 = 22

That leaves us with only A & C as a possible answer.

Q1 = The median of the first half of the data (12, 18, 20, 20)

Q1 = (18+20) / 2 = 19

A & C have the same Q1 values, so we need to compare Q3 values.

Q3 = The median of the second half of the data (24, 26, 28, 28)

Q3 = (26+28) / 2 = 27

The Correct Answer is C b/c A had a different Q3 value.

6 0
3 years ago
-40+8p-3z identify the coefficents and like terms
Oxana [17]

Answer:

there are no like terms in this so thats your answer

Step-by-step explanation:

7 0
3 years ago
Please help meeee i beg u
mixer [17]

Answer:

its c because b is a right angle triangle

thats how i solved it if there is a mistake tell me

4 0
4 years ago
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