What is the difference of the two polynomials <br> (9x + 8x)

Sergeeva-Olga [200]

The average rate of change of on the interval [a,b] is:

f(b)−f(a)/ b-a
or
y1-y2/x1-x2 which is how I learned it, average ratw of change is just slope

so you would plug your numbers into x

1st the b: 6((1))^2+31((1))-12
=6+31-12 1^2=1, so it cancels
f(b) =25

2nd the a: 6((-2))^2+31((-2))-12
=6(4)+31(-2)-12
=24+-62-12
f(a) =-50

3rd plug them in: (25- -50)÷(1-(-2)
=75÷3
=25

so your average rate of change(or slope) is 25 :)

7 0

3 years ago

Need help with this question it’s my first time on here !

fredd [130]

Answer:

We conclude that the statement 'To host a wedding with 104 people, 13 tables will be needed'.

Hence, option C is correct.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

where 'k' is termed as the 'constant of variation'.

Given that a wedding reception seats 8 people at each table.

Given that the relationship between the number of people 'p' and the number of tables 't'.

p = 8t

CHECKING OPTION A

substitute t = 22 in the given equation

p = 8 × 22 = 176 people

It means to host 176 people, 22 tables will be needed.

Hence, OPTION A is INCORRECT!

CHECKING OPTION B

substitute t = 8 in the given equation

p = 8 × 8 = 64 people

It means to host 64 people, 8 tables will be needed.

Hence, OPTION B is INCORRECT!

CHECKING OPTION C

substitute t = 13 in the given equation

p = 8 × 13 = 104 people

It means to host 104 people, 13 tables will be needed.

Hence, <em><u>OPTION C is CORRECT!</u></em>

CHECKING OPTION D

substitute t = 6 in the given equation

p = 8 × 6 = 48 people

It means to host 48 people, 6 tables will be needed.

Hence, OPTION C is INCORRECT!

Thus, we conclude that the statement 'To host a wedding with 104 people, 13 tables will be needed'.

Hence, option C is correct.

6 0

3 years ago

Suppose log subscript a x equals 2, space log subscript a y equals 5, and log subscript a z equals short dash 3. Find the value

sineoko [7]

The value of the logarithmic expression $\log _a (\frac{x^3y}{z^4} )$ is 24.

Given the following logarithmic expressions $\log _ax = 3, \log _ay = 7, \log _az = -2$ , we are to find the value of $\log _a (\frac{x^3y}{z^4} )$

from the above $\log _ax = 3, x = a^3$

$\log _ay = 7, y = a^7$

Substituting x = $a^3$ , y = $a^7$ and z = $a^{-2}$ into the log function $\log _a (\frac{x^3y}{z^4} )$ we will have;

$\log _a (\frac{x^3y}{z^4} )\\=\log _a (\frac{(a^3)^3 \times a^7}{(a^{-2})^4} )\\= \log _a (\frac{a^9 \times a^7}{a^-^8} )\\= \log _a (\frac{a^1^6}{a^-^8} )\\= \log _a (\frac{x^3y}{z^4} )\\= \log _a a^2^4\\= 24 \log _a a\\= 24 \times 1\\= 24$

Hence, the value of the logarithmic expression is 24

<h3>What is logarithmic expression?</h3>

In an exponential equation, the variable is expressed as an exponent. An equation using the logarithm of an expression containing a variable is referred to as a logarithmic equation.
Check to determine if you can write both sides of the equation as powers of the same number before you attempt to solve an exponential equation.

To learn more about logarithmic expression with the given link

brainly.com/question/24211708

#SPJ4

3 0

2 years ago

A group of 29 friends gets together to play a sport. First, people must be

maria [59]

Their can be 7 groups hope this helps

3 0

3 years ago

Read 2 more answers

8.

likoan [24]

Answer:

1/4

Step-by-step explanation:

add the ratios

3+5=8

240 Divided by 8=30

3x30=90

5x30=150

Ann(90)

Bob150)

90/2=45 (remeber Ann gave half)

150/10=15 (remeber Bob gave a tenth)

45+15=60 (Colin received this amount)

60/240=1/4

8 0

4 years ago

What is the difference of the two polynomials (9x + 8x) - (2x+3)