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4 years ago

C(x)=2x^2-400x+31,000

1 answer:

7 0

This is a quadratic so if you want to find the solutions, use the quadratic formula. Google quadratic formula and videos on it and how to use it will pop up.

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......................,.,................

Alex787 [66]

a=6, b=2

Step-by-step explanation:

Use simplification into substitution
$\frac{a}{3} =1+\frac{2}{b}$

$a=3(1+\frac{2}{b})$

$a=3+\frac{6}{b}$

We can now plug this value of <em>a</em> into the second equation.

$\frac{3+\frac{6}{b} }{4} +\frac{3}{b} =3$

Get rid of fractions in the numerators and/or denominators

$\frac{3b+6}{4b} +\frac{3}{b} =3$

Then we can match the denominators

$\frac{3b+6}{4b} +\frac{12}{4b} =3$

Combine

$\frac{3b+18}{4b} =3$

Divide both sides by three

$\frac{b+6}{4b} =1$

Get rid of fractions

$b+6=4b$

Single out <em>b</em>

$6=3b$

$b=2$

Now we can plug it into the equation

$\frac{a}{3} -\frac{2}{2} =1$

$\frac{a}{3} =2$

$a=6$

Now we can check it;

$\frac{6}{3} -\frac{2}{2} =1$

↑CORRECT

$\frac{6}{4} +\frac{3}{2} =3$

↑CORRECT

4 0

2 years ago

Mr. Romero is buying a cell phone that has a regular price of $649. The cell phone is on sale for 15% off the regular price. Wha

Dafna11 [192]

Answer:

$15 \div 100 \times 649 = 97.35 \\ 649 - 97.35 = 551.65$

therefore the new price is $551.65

6 0

3 years ago

Express your answer as a polynomial in standard form.

Juli2301 [7.4K]

Answer:

(f o g)(x) = -2x² - x + 4

Step-by-step explanation:

f(x) = -x + 6

g(x) = 2x² + x + 2

To find (f o g)(x), you need put g(x) into f(x).

f(x) = -x + 6

(f o g)(x) = -(2x² + x + 2) + 6

(f o g)(x) = -2x² - x - 2 + 6

(f o g)(x) = -2x² - x + 4

8 0

3 years ago

Write an equation in slope-intercept form of the line that contains the points in the table. X Y 1 9 4 10 7 11 13 13

FrozenT [24]

Y=1/3x+1 is the equation for ur question

7 0

4 years ago

Joel Trump is paid one and one-half times the regular hourly rate for all hours worked in excess of 40 hours per week and double

Irina18 [472]

Answer:

C. $516

Step-by-step explanation:

His regular rate is $8 per hour.

Since it's 40 hours a week, it means from Monday to Friday his regular work time is 8 hours per day.

Thus, for the regular week work, he is to be paid;

40 × 8 = $320

Now, we are told he worked 9 hours each day from Monday through Friday.

This means that;

He worked 1 hour each day.

That is 5 hours extra from Monday to Friday.

He is paid one and one-half times the regular hourly rate.

Thus, for this 5 extra hours, he will be paid 1½ × 5 × 8 = $60

He works 6 hours on Saturday, and 4 hours on Sunday.

Thus;

For Saturday, he is also paid one and one-half of regular pay. Thus, he is due for;

1½ × 8 × 6 = $72

He is paid double the regular hourly pay for Sundays.

Thus, for 4 hours on Sunday, he is paid;

2 × 8 × 4 = $64

Total he is due = $320 + $60 + $72 + $64 = $516

7 0

3 years ago