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fomenos
3 years ago
15

Which equation does the graph below represent?

Mathematics
2 answers:
vredina [299]3 years ago
6 0

Answer:

4. y=-4x

Step-by-step explanation:

your rise (up and down) is negative as it goes 4 down and your run (left and right) is positive and it goes 1 to the right

- \frac{4}{1}  =  - 4

Delicious77 [7]3 years ago
3 0
The answer is y= -4x
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Y is directly related to x and y is 81 when x is 27 the constant of.variation is
suter [353]

Answer:

The constant of variation is 3

Step-by-step explanation:

Given.

y=81

x=27

And y is directly related to x

y ∝ x

Here k is constant of variation

y=kx

k=\frac{y}{x}--------------(1)

Put the y and x value in equation 1.

k=\frac{81}{27}

k=3

So, the constant of variation is 3.

6 0
3 years ago
Use both a fraction and a decimal number to represent the shaded amount. Write the fraction in simplest form.
klemol [59]

Answer:

see below

Step-by-step explanation:

2/10 = 1/5 = 0.2 = 20%

5 0
3 years ago
Read 2 more answers
Determine whether the following series converges or diverges using the integral test. Be sure to verify that the integral test c
Finger [1]

By using the integral test, series converges

What is an integral test for convergence and divergence?

⇒ It is used to prove the divergence or convergence of series. This test is called the integral test, which compares an infinite sum to an improper integral. It is important to note that this test can only be applied when we are considering a series whose terms are all positive.

How to know if a series is converging or diverging?

If the limit exists and is a finite number (a number less than infinity), we say the integral converges. If the limit is ±∞ or does not exist, we say the integral diverges.

let aₓ= f (x) is any function

⇒ In order for the integral test to work The function must be positive it has to be continuous and it has to be decreasing when x≥1

If the integral converges it means the series is also converging

If the integral diverges it means the series is also diverging

The sequence k^{3} /{e^{k^{4} } is clearly positive and decreases for k∈N then by the integral test,

\int\limits^\infty_1 {x^{3} /e^{x^4} dx \leq\displaystyle \sum^{\infty}_{k = 1} {x^{3} /e^{x^{4}

and

\int\limits^\infty_1 {x^{3} /e^{x^4} dx=1/4\int\limits^\infty_1 {x^{3} /e^{-u} du

⇒ 1/4 < \infty

So it comes with a finite value hence the series converges

Learn more about the integral tests here :

brainly.com/question/15394015

#SPJ1

4 0
1 year ago
Read 2 more answers
Suppose y varies directly as x and y=21 when x=7. which is an equation relating x and y
astra-53 [7]
Y varies directly as x: y=kx, k is a constant.
when x=7, y=21, so we know k=3
therefore, the equation is y=3x
8 0
3 years ago
12. If the perimeter of the following triangle is 6.5y – 20.3 centimeters, find
saul85 [17]

Answer:13.7

Step-by-step explanation:

4 0
3 years ago
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