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3 years ago

Determine whether the equation represents a direct variation. if it does, find the constant of variation. 2y= 5x + 1 (1 point)

Mathematics

1 answer:

frozen [14]3 years ago

5 0

The constant is : <span><span>5/2</span></span>

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Use synthetic division to find P (-10) for P(x)=2x^3+14x^2-58x

Savatey [412]

The polynomial remainder theorem states that the remainder upon dividing a polynomial $p(x)$ by $x-c$ is the same as the value of $p(c)$ , so to find $p(-10)$ you need to find the remainder upon dividing

$\dfrac{2x^3+14x^2-58x}{x+10}$

You have

..... | 2 ... 14 ... -58
-10 | ... -20 ... 60
--------------------------
..... | 2 ... -6 .... 2

So the quotient and remainder upon dividing is

$\dfrac{2x^3+14x^2-58x}{x+10}=2x-6+\dfrac2{x+10}$

with a remainder of 2, which means $p(-10)=2$ .

5 0

3 years ago

Please simplify the answer!

frutty [35]

Answer:

y = 9

Step-by-step explanation:

Given

4 + $\frac{y}{3}$ = 7

Isolate the term in y by subtracting 4 from both sides

$\frac{y}{3}$ = 3 ( multiply both sides by 3 )

y = 3 × 3 = 9

7 0

3 years ago

A rectangle has a perimeter of 30 inches. one side measures 5 inches. what are the measure of the other three sides.

USPshnik [31]

One side is 5, another is 5, one side is 10, another side is 10. 5+5+10+10= 30

6 0

3 years ago

The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -3 ≤ x ≤ 6

victus00 [196]

Answer:

Average ROC = 0

Step-by-step explanation:

Average ROC : (f(b) - f(a)) / (b - a) ... slope = (y'-y) / (x'-x)

a = -3 f(a) = 10 ... x=-3, y=10

b = 6 f(b) = 10 ... x'=6, y'=10

Average ROC = (10 - 10) / (6 - -3) = 0 / 9 = 0

4 0

2 years ago

What is the answer to 1 4/5 x 2 1/4

hodyreva [135]

Answer:

3 6/25

Step-by-step explanation:

Make the mixed fractions improper fractions and multiply them together. After that make the multiplied improper fraction a mixed fraction (answer in drawings)

7 0

3 years ago