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3 years ago

The rule that maps each domain value to its range value is f(x)= ___x.

Mathematics

1 answer:

kirill115 [55]3 years ago

3 0

Answer:

f(x) = 1/2x

Step-by-step explanation:

When x = -4 the output is -2

We are dividing by 2

When x = -2 the output is -1

f(x) = 1/2 x

Check when x = 2

f(2) = 1/2 (2) =1

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Virty [35]

Answer:

1/9 is probably most likely the correct answer

3 0

2 years ago

Fill in Sin, Cos, and tan ratio for angle x. Sin X = 4/5 (28/35 simplified)

Fantom [35]

Answer:

Given: $\sin(x) = (4/5)$ .

Assuming that $0 < x < 90^{\circ}$ , $\cos(x) = (3/5)$ while $\tan(x) = (4/3)$ .

Step-by-step explanation:

By the Pythagorean identity $\sin^{2}(x) + \cos^{2}(x) = 1$ .

Assuming that $0 < x < 90^{\circ}$ , $0 < \cos(x) < 1$ .

Rearrange the Pythagorean identity to find an expression for $\cos(x)$ .

$\cos^{2}(x) = 1 - \sin^{2}(x)$ .

Given that $0 < \cos(x) < 1$ :

$\begin{aligned} &\cos(x) \\ &= \sqrt{1 - \sin^{2}(x)} \\ &= \sqrt{1 - \left(\frac{4}{5}\right)^{2}} \\ &= \sqrt{1 - \frac{16}{25}} \\ &= \frac{3}{5}\end{aligned}$ .

Hence, $\tan(x)$ would be:

$\begin{aligned}& \tan(x) \\ &= \frac{\sin(x)}{\cos(x)} \\ &= \frac{(4/5)}{(3/5)} \\ &= \frac{4}{3}\end{aligned}$ .

7 0

2 years ago

50 POINTS !! PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Artyom0805 [142]

Answer:

Step-by-step explanation:

Use the pythagorean theorem ( $a^2+b^2=c^2$ ). A and b are the two legs of the triangle, and c is ALWAYS the hypotenuse. Plug in the values for a and c

$a^2+b^2=c^2$

$5^2+b^2=13^2$

$25+b^2=169$

$b^2=144$

$b=12$

6 0

2 years ago

Read 2 more answers

Rewrite the following sentence as an equation.

SVEN [57.7K]

Answer:

3(2+x)=0

Step-by-step explanation:

Here are some vocab words:

Product: Multiplication

Sum: Addition

"A number": x

3(2+x)=0

6 0

3 years ago

? Question

dezoksy [38]

Answer:

4 ft

7.2 ft

20 ft

Step-by-step explanation:

When the balloon is shot, x = 0.

y = -0.05(0)² + 0.8(0) + 4

y = 4

The balloon reaches the highest point at the vertex of the parabola.

x = -b / 2a

x = -0.8 / (2 × -0.05)

x = 8

y = -0.05(8)² + 0.8(8) + 4

y = 7.2

When the balloon lands, y = 0.

0 = -0.05x² + 0.8x + 4

0 = x² − 16x − 80

0 = (x + 4) (x − 20)

x = -4 or 20

Since x > 0, x = 20.

8 0

3 years ago