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3 years ago

What is the y-intercept of the line shown below? Enter your answer as a coordinate pair.

Mathematics

1 answer:

zloy xaker [14]3 years ago

5 0

Answer:

The y-intercept is the point (0,-4)

Step-by-step explanation:

we know that

The x-intercept is the value of x when the value of y is equal to zero

The y-intercept is the value of y when the value of x is equal to zero

Looking at the graph

The x-intercept is the point (-4,0)

The y-intercept is the point (0,-4)

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rusak2 [61]

The correct answer is Z=-13

7 0

2 years ago

Read 2 more answers

A certain tennis player makes a successful first serve 6969% of the time. Suppose the tennis player serves 9090 times in a matc

Wewaii [24]

Answer:

a) 4.387

b) Yes, because np & npq are greater than 10.

c) = 0.017

Step-by-step explanation:

Give data:

p = 0.69

n = 90

a) a

E(X) = np = 62.1

$SD(X) = \sqrt{(np(1-p))}$

$=\sqrt{90\times 0.69(1- 0.69)}$

= 4.387

np = 62.1

q = 1 - p = 1 - 0.69 = 0.31

npq = 19.251

Yes, because np & npq are greater than 10.

$P(X \geq 72 ) = P(X > 71.5)$ [continuity correction]

$= P(Z> \frac{((71.5-62.1)}{ 4.387})$

= P(Z> 2.14 )

= 1 - P(Z<2.14)

= 1 - 0.983 (using table)

= 0.017

8 0

3 years ago

Assignment What is -3/4 + 2 3/4 3 1/2 3 3/4 2 1/2 2

Yanka [14]

Answer:

D) 2

Step-by-step explanation:

When you have $2\frac{3}{4}$ and you subtract $\frac{3}{4}$ from it, you result in 2.

the $\frac{3}{4}$ in the 2 and by itself cancel out.

#teamtrees #WAP (Water And Plant)

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3 years ago

Answer questions 13. And 14. Please! Show minimal work...

ale4655 [162]

13. The equation of the given function is $y=4sin[\frac{(t-\frac{4}{3})}{2}]-2$

14. The equation of the cotangent function is $y=cot[2(t-\frac{1}{3})]+2$

Step-by-step explanation:

Let us revise the transformation of the trigonometric function:

y = a f[b(x + c)] + d, where

Amplitude is a
f represents the trigonometry function
Period is 2π/b
Phase shift is c (positive is to the left)
Vertical shift is d

13.

∵ y = a sin( $\frac{2\pi t}{T}$ ), where a is the amplitude

and T is the wave in seconds

∵ The amplitude is 4

∴ a = 4

∵ The period is 4π

∴ T = 4π

From the rules above

∵ The period is 2π/b

∴ T = $\frac{2\pi }{B}$

∴ 4π = $\frac{2\pi }{b}$

- By using cross multiplication

∴ 4π(b) = 2π

- Divide both sides by 4π

∴ b = $\frac{1}{2}$

∵ The phase shift is $-\frac{4}{3}\pi$

∵ c is the phase shift

∴ c = $-\frac{4}{3}\pi$

∵ The vertical shift is -2

∵ d is the vertical shift

∴ d = -2

Now substitutes the values of a, b, c and d in the form of the equation below

∵ y = a sin[b(t + c)] + d

∴ $y=4sin[\frac{1}{2}(t-\frac{4}{3})]-2$

You can write it as $y=4sin[\frac{(t-\frac{4}{3})}{2}]-2$

The equation of the given function is $y=4sin[\frac{(t-\frac{4}{3})}{2}]-2$

14.

y = cot[b(t + c)] + d

∵ The period = π

∵ The period is 2π/b

- Equate π by 2π/b to find b

∴ π = $\frac{2\pi }{b}$

- By using cross multiplication

∴ π(b) = 2π

- Divide both sides by π

∴ b = 2

∵ The phase shift is $-\frac{1}{3}\pi$

∵ c is the phase shift

∴ c = $-\frac{1}{3}\pi$

∵ The vertical shift is 2

∵ d is the vertical shift

∴ d = 2

Now substitutes the values of b, c and d in the form of the equation below

∵ y = cot[b(t + c)] + d

∴ $y=cot[2(t-\frac{1}{3})]+2$

The equation of the cotangent function is $y=cot[2(t-\frac{1}{3})]+2$

Learn more:

You can learn more about trigonometry function in brainly.com/question/3568205

#LearnwithBrainly

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3 years ago

Use compatibale numbers to find two estimates for 478 divided by 2

iogann1982 [59]

Hi on this question I got 239

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3 years ago