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Anna [14]
4 years ago
12

Paul can choose to be paid $50 for a job or he can be paid 12.50 per hour. Under which circumstances should he choose the hourly

wage
Mathematics
1 answer:
blondinia [14]4 years ago
5 0

Answer:

If the number of hours needed for the job is 4 hours then he can choose either to be paid for the job or by hour. If he works for more than 4 hours then he should choose the option of getting paid by the hour.

Step-by-step explanation:

He should choose hourly wage if the number of hours are of a value so that the total paid is more than $50.

Let's take that number of hours worked is x

If,

12.5*x=50

=x=\frac{50}{12.5}

=4 hours

Then he can choose either to be paid for the job or by hour. If he works for more than 4 hours then he should choose the option of getting paid by the hour.



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PLEASE HELP ME PLEASE HELP
aliina [53]
To grandparents house :
140/56 = 2.5 hours

Return trip :
140/50 = 2.8 hours

Total time : 2.8+2.5 = 5.3 hours
7 0
4 years ago
Read 2 more answers
According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x^5
nata0808 [166]

Answer:

The correct option is A.

Step-by-step explanation:

The question is:

According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 – 2x4 + 9x3 – x2 + 12?

A).f(x) = 3x5 – 2x4 – 9x3 + x2 – 12

B).f(x) = 3x6 – 2x5 + 9x4 – x3 + 12x

C).f(x) = 12x5 – 2x4 + 9x3 – x2 + 3

D).f(x) = 12x5 – 8x4 + 36x3 – 4x2 + 48

Solution:

The function given to us is:

3x5 – 2x4 + 9x3 – x2 + 12

Find the factors of 12 and consider it as 'p'

The factors of 12 are:

p = +/- 1 , +/-2 , +/-3 , +/- 4 , +/-6

Now find the factors of 3 and consider it as 'q'

The factors of 3 are:

q = +/- 1 , +/- 3

We know that we write rational terms in p/q form.

Therefore the Rational roots are given by p/q

+/- 1 , +/-2 , +/-3 , +/- 4 , +/-6 , +/- 1/3 , +/- 2/3 , +/- 4/3

Now we will solve the first function given in part A.

f(x) = 3x^5 – 2x^4 - 9x^3 + x^2 - 12

Again find the factors of 12 and consider it as 'p'

The factors are:

p = +/- 1 , +/-2 , +/-3 , +/- 4 , +/-6

Now find the factors of 3 and consider it as 'q' .

q = +/- 1 , +/- 3

Rational root are given by p/q

+/- 1 , +/-2 , +/-3 , +/- 4 , +/-6 , +/- 1/3 , +/- 2/3 , +/- 4/3

Therefore the rational roots of the given function matches the rational roots of the given equation.

Hence the correct option is A

6 0
3 years ago
write a linear equation that intersects y=x^2 at two points. Then write a second linear equation that intersects y=x^2 at just o
Liula [17]

We know that y = x^2 is a parabola, concave up, with vertex in the origin (0,0)

So, we may use three horizontal lines for our purpose: any horizontal line above the x axis will intersect the parabola twice. The x axis itself intersects the parabola once on the vertex, while any horizontal line below the x axis won't intercept the parabola.

Here's the examples:

  • The horizontal line y = 4 intercepts the parabola twice: the system y = x^2,\ y = 4 is solved by x^2=4 \implies x = \pm 2
  • The horizontal line y=0 intercepts the parabola only once: the system is y=x^2,\ y=0 which yields x^2=0\implies x=0 which is a repeated solution
  • The horizontal line y=-5 intercepts the parabola only once: the system is y=x^2,\ y=-5 which yields x^2=-5 which is impossible, because a squared number can't be negative.
5 0
3 years ago
What is the coefficient of the second term of the trinomial?​
Lyrx [107]

Answer:

The coefficient of the 2nd term of trinomial is 18.

Step-by-step explanation:

You can expand in a faster way by using the formula, (a+b)² = a²+2ab+b² :

(3x+3)² = (3x)² + 2(3x)(3) + 3²

= 9a² + 18a + 9

OR

You can expand it by doing step by step :

(3x+3)² = (3x+3)(3x+3)

= 3x(3x) + 3x(3) + 3(3x) + 3(3)

= 9x² + 9x + 9x + 9

= 9x² + 18x + 9

7 0
4 years ago
What's the equivalent expression ​
Mkey [24]

Answer:

2^52

Step-by-step explanation:

(8^-5/2^-2)^-4 = (2^-15/2^-2)^-4= (2^-13)^-4= 2^((-13*(-4))= 2^52

3 0
4 years ago
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