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3 years ago

The graph represents the cost of a subscription to a newspaper.

Mathematics

2 answers:

nirvana33 [79]3 years ago

7 0

B. is the answergghhjj

zmey [24]3 years ago

4 0

ANSWER

The constant of variation is $
$7.50$

EXPLANATION

The constant of variation is the slope of the straight line in the given graph.

The straight line passes through the point

$(4,30),(8,60),(12,90)$

We can use any two of these points to find the slope of this line using the formula,

$slope = \frac{y_2-y_1}{x_2-x_1}$

We use

$(4,30) \: and \: (8,60)$

$slope = \frac{60 - 30}{8 - 4}$

$slope = \frac{30}{ 4}$

We simplify this to obtain,

$slope = 7.5$

Therefore, the constant of variation is $7.5.

The correct answer is B.

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Alexeev081 [22]

Answer:

Step-by-step explanation:

We have the system of equations:

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In order for an ordered pair to satisfy any system of equations, the ordered pair must satisfy both equations.

So, we can eliminate choices A and B. Satisfying only one of the equations does not satisfy the system of equations.

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Evaluate:

$-5\stackrel{\checkmark}{=} -5$

So, our ordered pair satisfies the first equation.

Now, we must test it for the second equation. Substituting gives:

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Evaluate:

$20\neq 11$

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Since it does not satisfy both of the equations, the ordered pair is not a solution to the system because it makes at least one of the equations false.

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3 years ago

Suzanne dropped her penny jar.she found some of the pennies, but some are still missing.she found 6/10 of the pennies on the rug

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3 years ago

If the equation y² - (K-<br>2y + 2k +1 = 0<br>with equal roots find the value of k

777dan777 [17]

Answer:

y² - (K- 2)y + 2k +1 = 0

equal roots means D=0

D= b^2 - 4ac

a=1, b= (k-2), c= 2k+1

so,

(k-2)^2 - 4(1)(2k+1) = 0

=> k^2 +4 - 8k -4 = 0

=> k^2 -8k = 0

=> k^2 = 8k

=> k= 8k/k

=> k = 8

Therefore the answer is k= 8

Hope it helps........

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3 years ago