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const2013 [10]
3 years ago
6

Tim currently makes $13.26 an hr. plus gets paid 10 days of vacation. How many days/or hours would he have to work in order to b

e at $18000 at the end of the year?
Mathematics
2 answers:
Marrrta [24]3 years ago
7 0
I would divide the 18000 by 13.26 to get the number of hours needed.
18000/13.26~169.7 days with 8 hour shifts.
Pavlova-9 [17]3 years ago
6 0
1342= 18007.08 (the closest you can get with using the hourly pay)
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Which expression is equivalent to 16 in exponential form?
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Answer:

4 with the exponent or base of 2

Step-by-step explanation:

To get 16 in exponential form would be

4 × 4 = 16

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A) 77°<br> C) 109°<br> B) 167°<br> D) 150°
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Answer:

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Step-by-step explanation:

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Angle relationships with parallel lines
bekas [8.4K]

Answer:

<h3>X=180 degree</h3>

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7 0
3 years ago
Please help me with number 7
Wittaler [7]

"twelve decreased by twice a number"   --->   12 - 2x

"8 times the sum of number and 4"   --->   8(x + 4)

12 - 2x  =  8(x + 4)

12 - 2x  =  8x + 32                    (distributive property)

12        =  10x + 32                   (add 2x to both sides)

-20       =  10x                           (subtract 32 from both sides)

x  =  -2                                      (divide both sides by 10)

That's answer.
4 0
3 years ago
Find the vertex of the graph of the function.
lapo4ka [179]

Answer: The correct options are  (1) (5,10), (2) (3,-3), (3) x = -1, (4) y=(x+2)^2+3, (5) 21s and (6) 0, -1, and 5.

Explanation:

Te standard form of the parabola is,

f(x)=a(x-h)^2+k        .....(1)

Where,  (h,k) is the vertex of the parabola.

(1)

The given equation is,

f(x)=(x-5)^2+10

Comparing this equation with equation (1),we get,

h=5 and k=10

Therefore, the vertex of the graph is (5,10) and the fourth option is correct.

(2)

The given equation is,

f(x)=3x^2-18x+24

f(x)=3(x^2-6x)+24

To make perfect square add (\frac{b}{2a})^2, i.e., 9. Since there is factor 3 outside the parentheses, so subtract three times of 9.

f(x)=3(x^2-6x+9)+24-3\times 9

f(x)=3(x-3)^2-3

Comparing this equation with equation (1),we get,

h=3 and k=-3

Therefore, the vertex of the graph is (3,-3) and the fourth option is correct.

(3)

The given equation is

f(x)=4x^2+8x+7

f(x)=4(x^2+2x)+7

To make perfect square add (\frac{b}{2a})^2, i.e., 1. Since there is factor 4 outside the parentheses, so subtract three times of 1.

f(x)=4(x^2+2x+1)+7-4

f(x)=4(x+1)^2+3

Comparing this equation with equation (1),we get,

h=-1 and k=3

The vertex of the equation is (-1,3) so the axis is x=-1 and the correct option is 2.

(4)

The given equation is,

y=x^2+4x+7

To make perfect square add (\frac{b}{2a})^2, i.e., 2^2.

f(x)=x^2+4x+4+7-4

f(x)=x^2+4x+4+7-4

f(x)=(x+2)^2+3

Therefore, the correct option is  4.

(5)

The given equation is,

h=-16t^2+672t

It can be written as,

h=-16(t^2-42t)

It is a downward parabola. so the maximum height of the function is on its vertex.

The x coordinate of the vertex is,

x=\frac{b}{2a}

x=\frac{42}{2}

x=21

Therefore,  after 21 seconds the projectile reach its maximum height and the correct option is first.

(6)

The given equation is,

f(x)=3x^3-12x^2-15x

f(x)=3x(x^2-4x-5)

Use factoring method to find the factors of the equation.

f(x)=3x(x^2-5x+x-5)

f(x)=3x(x(x-5)+1(x-5))

f(x)=3x(x-5)(x+1)

Equate each factor equal to 0.

x=0,-1,5

Therefore, the zeros of the given equation is 0, -1, 5 and the correct option is 2.

3 0
3 years ago
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