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3 years ago

8

Alazea subscribes to a website for processing her digital pictures. The subscription is $5.95 per month and 4-by-6-inch prints a

re $0.19 each. How many prints does Alazea purchase if the charge for October is $15.83?

1 answer:

JulijaS [17]3 years ago

7 0

Hello! The subscription is a fixed price of 5.95 per month, and prints are $0.19 each. Let’s make an equation for this type of situation. 5.95 + 0.19x = 15.83. First off, let’s subtract 5.95 from both sides. When you do, you get 0.19x = 9.88. Now, divide each side by 0.19 to isolate the variable. 9.88/0.19 is 52. x = 52. There. Alazea purchased 52 prints in October.

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3 years ago

2x^3-x^2+x-2 factorize

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Answer:

$(x-1)(2x^2+x+2)$

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<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

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As the polynomial is cubic:

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2 years ago

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wariber [46]

Answer:

1. x = 18.4

2. x = -1.25

3. x = $\frac{5}{12}$

4. x = 12.3

5. x = 6.4

6. z = 5.8

7. x = $\frac{1}{12}$

8. x = - $\frac{1}{4}$

9. x = $\frac{1}{3}$

10. x = -9

11. z = 18

12. x = 7

13. x = -9

14. x = -36

15. x = -7

16. x = 8

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20. x = -12

21. x = $\frac{8}{3}$

22. x = -1.6

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24. x = -8.2

Step-by-step explanation:

1. x - 3.5 = 14.9 (add 3.5 to each side)

x = 18.4

2. x + 2.25 = 1 (subtract 2.25 from each side)

x = -1.25

3. - $\frac{1}{3}$ = x - $\frac{3}{4}$ (add $\frac{3}{4}$ to each side)

$\frac{3}{4}$ - $\frac{1}{3}$ = x (multiply $\frac{3}{4}$ by $\frac{3}{3}$ and $\frac{1}{3}$ by $\frac{4}{4}$ to get a common denominator)

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$\frac{5}{12}$ = x

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x = 12.3

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x = 6.4

6. z - 9.4 = -3.6 (add 9.4 to each side)

z = 5.8

7. x + $\frac{5}{6}$ = $\frac{11}{12}$ (subtract $\frac{5}{6}$ from each side)

x = $\frac{11}{12}$ - $\frac{5}{6}$ (multiply $\frac{5}{6}$ by $\frac{2}{2}$ to get a common denominator)

x = $\frac{11}{12}$ - $\frac{10}{12}$

x = $\frac{1}{12}$

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x = $\frac{2}{18}$ + $\frac{5}{18}$

x = $\frac{6}{18}$ = $\frac{3}{9}$ = $\frac{1}{3}$

10. x + 6 = -3 (subtract 6 from each side)

x = -9

11. z - 7 = 11 (add 7 to each side)

z = 18

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x = -9

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x = -36

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x = 16

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3 years ago

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Answer:

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