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2 years ago

Use the slope formula to determine the slope of the line that passes through the points R (1, 2) and S (5, 7)

Mathematics

1 answer:

Citrus2011 [14]2 years ago

4 0

M = (y2-y1)/(x2 -x1)
m = (7 -2)/(5 - 1)
m = 5/4

answer: slope m = 5/4

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Find f if f′(x)=2x−3/x^4, x>0 and f(1)=2.

slavikrds [6]

$f'(x)=2x-\dfrac3{x^4}$
$\displaystyle\int f'(x)\,\mathrm dx=\int\left(2x-\frac3{x^4}\right)\,\mathrm dx$
$f(x)=x^2+\dfrac1{x^3}+C$

Given that $f(1)=2$ , we get

$2=1^2+\dfrac1{1^3}+C$
$2=2+C$
$\implies C=2$

so that

$f(x)=x^2+\dfrac1{x^3}$

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2 years ago

Brandon is selling gift cards. He earns a one-time pay out of $159 and then earns $30 for each gift card he sells. Write a equat

quester [9]

Answer:

g * $30 = p

Step-by-step explanation:

He earns $30 per gift card.

You multiply the amount of gift cards sold by the money you earn per gift card sold. g, being the gift cards sold. p, being the total pay.

4 0

2 years ago

Simplify (5x^-6)^3 leave your answer as a fraction in index form

Elan Coil [88]

Answer: 125/x^18

Step-by-step explanation: this should be the answer

5 0

2 years ago

Read 2 more answers

Please help me I need to get this done

OverLord2011 [107]

The square root of 64 is 8 and the square root of 100 is 10.... so,

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Answer D.

4 0

2 years ago

A = 11m, b = 8m and C = 2m for the triangle shown below.

Aleksandr-060686 [28]

Answer:

x = $\sqrt{53}$

Step-by-step explanation:

Using Pythagoras' identity on the upper right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

Let the third side be d, then

d² + b² = a² , that is

d² + 8² = 11²

d² + 64 = 121 ( subtract 64 from both sides )

d² = 57

Using Pythagoras' identity on the lower right triangle, then

x² + c² = d²

x² + 2² = 57

x² + 4 = 57 ( subtract 4 from both sides )

x² = 53 ( take the square root of both sides )

x = $\sqrt{53}$

4 0

2 years ago