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kakasveta [241]
3 years ago
10

WILL GIVE BRAINLIEST

Mathematics
1 answer:
Lilit [14]3 years ago
8 0

Substitution involves plugging the given values of the variables and the

parenthesis is a sign for multiplication (multiplied by).

<h3>The correct responses are as follows;</h3><h3 />
  • 7. 2·(x + 4) + 10 = <u>28</u>

  • 8. 3·(4·x) + 4 =<u> 64</u>

  • 9. 10·(x·y) = <u>300</u>

  • 10. 2·(x + y) = <u>22</u>

  • 11. 3·r × s + 4·x = <u>38</u>
  • 12. 2×q + 2×x + 2×t =  <u>20</u>

  • 13. 6×3×t + 6×4×s = <u>144</u>

  • 14. 10×(10×x) + 10×y = <u>560</u>

  • 15. x·x·y = <u>150</u>

  • 16. r·s·t = <u>24</u>

  • 17. r·s·t·x·y = <u>720</u>

  • 18. 6·(2·x + 3·y) = <u>168</u>

<h3>Methods by which the above responses are arrived at:</h3>

Given; q = 1; r = 2; s = 3; t = 4; x = 5; y = 6

7. 2·(x + 4) + 10, by substituting x = 5, we have;

  • 2·(x + 4) + 10 = 2 × (5 + 4) + 10 = <u>28</u>

8. 3·(4·x) + 4

Substituting x = 5 gives;

  • 3·(4 × 5) + 4 = <u>64</u>

9. 10·(x·y)

Substituting x = 5, and y = 6 gives;

  • 10·(x·y) = 10 × (5 × 6) = <u>300</u>

10. 2·(x + y)

Substituting x = 5, and y = 6 gives;

  • 2·(x + y) = 2 × (5 + 6) =<u> 22</u>

11. 3·r·s + 4·x

Substituting r = 2, and s = 3, and x = 5, gives;

  • 3·r·s + 4·x = 3 × (2 × 3) + 4×(5) = <u>38</u>

12. 2·q + 2·x + 2×t  

Where, q = 1, x = 5, and t = 4, we get;

  • 2·q + 2·x + 2·t = 2 × 1 + 2 × (5 + 4) = <u>20</u>

13. 6·3·t + 6·4·s

Plugging in t = 4, and s = 3, we get;

  • 6·3·t + 6·4·s = 6 × (3×4 + 4×3) = <u>144</u>

14. 10·(10·x) + 10·y

x = 5, y = 6

  • 10·(10·x) + 10·y = 10 × (10×5) + 10 × 6 = <u>560</u>

15. x·x·y

x = 5, y = 6

Therefore;

  • x·x·y = 5 × (5 × 6) = <u>150</u>

16. r·s·t

r = 2, s = 3, t = 4

Therefore;

  • r·s·t = 2 × (3) × (4) = <u>24</u>

17. r·s·t·x·y

r = 2, s = 3, t = 4, x = 5, and y = 6

  • r·s·t·x·y = 2 × 3 × 4 × 5 × 6 = <u>720</u>

18. 6·(2·x + 3·y)

x = 5, y = 6

  • 6·(2·x + 3·y) = 6 × (2 × 5 + 3 × 6) =<u> 168</u>

<u />

<u />

<h3>Formatted Responses to the Questions;</h3>

Please find attached a representation of the above responses in the question format

Learn more about substitution property here:

brainly.com/question/11388301

brainly.com/question/11452422

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SAS

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valentinak56 [21]
<h3>Answer:  g(x) = (-2/3)*x^2</h3>

============================================

Work Shown:

f(x) = x^2

g(x) = a*f(x) for some constant 'a' since g(x) is a scaled version of f(x).

The value of 'a' vertically stretches f(x) upward if a > 0

If 'a' is negative, then we have a reflection going on as shown in the diagram.

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If we plugged x = 3 into f(x), we get

f(x) = x^2

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f(3) = 9

So,

g(x) = a*f(x)

g(3) = a*f(3) ... replace x with 3

g(3) = a*9 ... replace f(3) with 9 since f(3) = 9

-6 = a*9 ... replace g(3) with -6 since g(-3) = -6

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Read 2 more answers
Slick Slack is a downloadable app that can be used to automatically generate excuses for being late to work based on the weather
Greeley [361]

Answer:

(x_1,y_1) = (1,5840)

(x_2,y_2) = (2,13090)

y = 1812.5x + 4027.5

y_0 = 4027.5 --- y intercept

Step-by-step explanation:

Given:

x = weeks; y = copies

The right parameters are:

After 1 week, 5840 copies were downloaded

After 5 weeks, 13090 copies were downloaded

So, the (x,y) forms are:

(x_1,y_1) = (1,5840)

(x_2,y_2) = (5,13090)

Next, we calculate the slope (m) using:

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{13090 - 5840}{5 - 1}

m = \frac{7250}{4}

m = 1812.5

The equation is then calculated using:

y = m(x - x_1) + y_1

y = 1812.5(x - 1) + 5840

y = 1812.5x - 1812.5 + 5840

y = 1812.5x + 4027.5

To calculate the y intercept, substitute 0 for x

y_0 = 1812.5*0 + 4027.5

y_0 = 0 + 4027.5

y_0 = 4027.5

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