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SOVA2 [1]
2 years ago
15

Frank works at Best Buy. After 2 hours he’ll earn $15.50. If he works 4 hours he’ll earn $31.00. Find the rate of change and wri

te your answer as a decimal.
Mathematics
1 answer:
worty [1.4K]2 years ago
7 0

Answer:

Each hour he earns $7.75

Step-by-step explanation:

You can find this out by dividing the money that he earns in 2 hours by 2 to get $7.75 an hour because $15.50 divided by 2 equals $7.75

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What is the answer to f(x)=x^2-10x+4 f(-2)
Maru [420]

Answer:

Step-by-step explanation:

f(x)=4+20+4

    =28

3 0
2 years ago
Find the length of the base indicated for each trapezoid
evablogger [386]
Explain why dosea mountain climber needs an oxygen supply at very high altitude even through the air still contains 21% oxygen
5 0
2 years ago
Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not more than 3, whereas quadratic f
vladimir2022 [97]

Answer:

Yes, I agree

Step-by-step explanation:

For the cubic function

A cubic function is represented as:

f(x)=ax^3+bx^2+cx+d

A cubic function may have 1, 2 or 3 x intercepts. This is shown below

For 3 x intercepts

y = x^3 - x

Equate y to 0

x^3 - x = 0

Expand

x(x^2 - 1) = 0

Express x^2 - 1 as difference of two squares

x(x - 1)(x +1 ) = 0

<em>x = 0 or 1 or -1</em>

For 2 x intercepts

y = x^3 - x

y  =(x-5)^2)(x+7)

Equate y to 0

(x-5)^2(x+7) = 0

Expand

(x-5)(x-5)(x+7) = 0

<em>x= 5 or x = -7</em>

For 1 x intercept

y = x^3

Equate y to 0

x^3 = 0

Take cube roots of both sides

x = 0

It has been shown above that a cubic function may have 1, 2 or 3.

So, I agree to the statement

For the quadratic function

A quadratic function will not have any x intercept when the function can not be factorized;

E.g.

y = x^2 + x + 17

<em>The above function has no x intercept.</em>

A quadratic function will have at least 1 x intercept when the function can be factorized;

E.g.

y = x^2- 6x + 9

Equate y to 0

x^2- 6x + 9 = 0

Expand

x^2 - 3x - 3x + 9 = 0

(x - 3)(x-3) = 0

x = 3

We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)

Hence, I agree to both statement

3 0
2 years ago
In circle A as shown below, segment DC is tangent to circle A at D.
Likurg_2 [28]

Answer:

AB = 3

Step-by-step explanation:

AB = AD

AB² + 4² = (AB + 2)²

AB² + 16 = AB² + 4AB + 4

combine like terms:

4AB = 12

AB = 3

4 0
2 years ago
Read 2 more answers
I am a factor of 120, and a common multiple of 3, 4, and 10. The sum of my digits is 6.
Galina-37 [17]

Answer:

At first find the lowest common multiple of 3, 4, 10

so it is 60

and 60is a factor of 120 and also the sum of the digits of 60 = 6+0 = 6

.°. 60 is the answer

7 0
3 years ago
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