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madam [21]
2 years ago
13

Michael is paid by the hour and gets overtime (OT) for every hour over 40.Last week he worked 52 hours. How many hours of OT did

he get?*
A. 38
B. 92.
C. 26
D. 12​
Mathematics
1 answer:
aksik [14]2 years ago
6 0

Answer:

12

Step-by-step explanation:

52 minus 40

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If g(x) = x2 + 2, find g(3). 9 8 11 6
cestrela7 [59]

Answer

Find out the value of g(3)  by using the function g(x) = x² + 2 given in the question .

To proof

The function given in the question is

g(x) = x² + 2

Take  x = 3

put x = 3  in the  g(x) = x² + 2

than it becomes

g(3) = 3² + 2

solving the above

we get

g(3) = 9 + 2

g(3) = 11

Thus g(3) = 11  and option (c) is correct .

Hence proved


7 0
3 years ago
Read 2 more answers
If r(X)=2-x^2 and w(X)=X-2, what is the range of (w*r)(X)
slega [8]
The given function are
r(x) = 2 - x²    and     w(x) = x - 2
<span>(w*r)(x) can be obtained by multiplying the both function together
</span>
So, <span>(w*r)(x) = w(x) * r(x) = (x-2)*(2-x²)</span>
<span>(w*r)(x) = x (2-x²) - 2(2-x²)</span>
            = 2x - x³ - 4 + 2x²

∴ <span>(w*r)(x) = -x³ + 2x² + 2x - 4
</span>

<span>It is a polynomial function with a domain equal to R
</span>
The range of <span>(w*r)(x) can be obtained by graphing the function
</span>
To graph (w*r)(x), we need to make a table between x and (w*r)(x)

See the attached figure which represents the table and the graph of <span>(w*r)(x)
</span>

As shown in the graph the range of <span>(w*r)(x) is (-∞,∞)
</span>

8 0
3 years ago
Read 2 more answers
The description below represents Function A and the table represents Function B: Function A The function is 2 more than 5 times
Vlad [161]

Answer:

The slope of Function A is greater than the slope of function B  while the y-intercept of Function  B is greater than the y-intercept of function A.

Step-by-step explanation:

Function A is f(x) = 5x + 2

The slope is 5 and the y-intercept is (0, 2).

Function B. The slope is  (5-2) / (0- -1) = 3.

also (8-5) / (1 - 0) = 3

The slope is 3.

The y-intercept is at (0, 5) because one point on the graph is (0, 5).

7 0
3 years ago
A bathtub contains 20 gallons of water. After the drain is opened, there are 14 gallons of water remaining after 30 seconds. Usi
leva [86]

Answer

a decrease of 0.2 gallons per second

Explanation

The drain was open for 30 seconds.

The water that ran out for 30 seconds = 20 - 14

= 6 gallons

Rate of decrease = (change in gallons)/(time taken)

= 6/30

= 0.2

The rate of change in the amount of water remaining in the tub per second will be the same as the one that ran out since the outlet is the same.

So the correct answer from the choices is "a decrease of 0.2 gallons per second".

7 0
3 years ago
The polynomial p(x)=x^3-6x^2+32p(x)=x 3 −6x 2 +32p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 6, x, squar
Ray Of Light [21]

Answer:

(x-4)(x-4)(x+2)

Step-by-step explanation:

Given p(x) = x^3-6x^2+32 when it is divided by  x - 4, the quotient gives

x^2-2x-8

Q(x) = P(x)/d(x)

x^3-6x^2+32/x- 4  =  x^2-2x-8

Factorizing the quotient

x^2-2x-8

x^2-4x+2x-8

x(x-4)+2(x-4)

(x-4)(x+2)

Hence the polynomial as a product if linear terms is (x-4)(x-4)(x+2)

8 0
2 years ago
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