Mathematics, 27.12.2020 03:30 Demondevilg

Finish the following table for the given function with x as the independent variable. x 10 10 15 10 15 Ax) = V100- x a. 95, 90, 85
b. 9.75, 9.49, 9.22
C. 9.75, 9.22, 9.49
d. 10, 9,8

Finish the following table for the given function with x as the independent variable. x 10 10 15 10

Answers: 2

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Answer from: juli8350

Option (b) is true.

Step-by-step explanation:

Given the function

$f\left(x\right)=\sqrt{100-x}$

plug in x = 5 in the function

$f\left(5\right)=\sqrt{100-5}$

$\:f\left(5\right)=\sqrt{95}\:\:\:\:$

f(5) = 9.75

plug in x = 10 in the function

$f\left(10\right)=\sqrt{100-10}$

$\:f\left(10\right)=\sqrt{90}\:\:\:\:\:$

$\:f\left(10\right)=9.49$

plug in x = 15 in the function

$f\left(10\right)=\sqrt{100-15}$

$\:f\left(10\right)=\sqrt{85}\:\:\:\:\:$

$\:\:f\left(15\right)=9.22$

Thus, the table will be:

x f(x)

0 10

5 9.75

10 9.49

15 9.22

Therefore, option (b) is true.

Answer from: Quest

sounds & other waves originate from any vibrating object

Answer from: Quest

x= 1

step-by-step explanation: convert 5\frac{11}{12}5

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

5×12+11

2 simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

60+11

3 simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

4 simplify \frac{5}{6}x

x to \frac{5x}{6}

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

5 convert 1\frac{1}{3}1

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

1×3+1

6 simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

3+1

7 simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

to \frac{13.75}{3}+\frac{4x}{3}

13.75

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

13.75

9 simplify \frac{13.75}{3}

13.75

to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

10 subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

−4.583333

11 simplify \frac{71}{12}-4.583333

−4.583333 to \frac{4}{3}

\frac{4x}{3}=\frac{4}{3}

12 multiply both sides by 33

4x=\frac{4}{3}\times 34x=

×3

13 simplify \frac{4}{3}\times 3

×3 to \frac{12}{3}

4x=\frac{12}{3}4x=

14 simplify \frac{12}{3}

to 44

4x=44x=4

15 divide both sides by 44

x=1

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