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3 years ago

Write an equation of the line that passes through the given point and is parallel to the given line. Please help!!

Mathematics

1 answer:

Inessa05 [86]3 years ago

8 0

Answer: C y= -3/2x + 11

Step-by-step explanation:

So you have to know the parallel lines have the same slopes but different y- intercepts. so we will use the same slopes but we will calculate the y -intercept.

in the points (4,5) 5 is the y value and 4 is the x value. and we will plot it into the formula y=mx + b where m is the slope and we already know the slope is -3/2 but we need to find the y intercept.

5 = -3/2(4) + b

5= -6 + b

+6 +6

b= 11 so now we know the y intercept is 11 so the equation will be y= -3/2x + 11

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16) A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by E'(x) =

erastova [34]

Answer:

$61

Step-by-step explanation:

Given

Number of days, x = 5

Expenditure per day, E'(x) = 10x + 11

Required

Determine the expenditure per day (E'(x))

From the question, we have that

$E'(x) = 10x + 11$

Substitute 5 for x

$E'(5) = 10 * 5 + 11$

$E'(5) = 50 + 11$

$E'(5) = 61$

Hence, the expenditure for 5 days is $61

3 0

3 years ago

Use the given domain to find the range of function: f(x)=−2x²+7, D={2, −3, 0}

soldi70 [24.7K]

Answer:

R={-1, -11, 7}

Step-by-step explanation:

-2(2)^2+7=

-2(4)+7=

-8+7=

-1

-2(-3)^2+7=

-2(9)+7=

-18+7=

-11

-2(0)^2+7=

-2(0)+7=

0+7=

5 0

3 years ago

simplify the following expression: (x+7/4x) + (5/x-8) I also attached a photo of the problem if you get confused on how I typed

Gnoma [55]

Answer:

$\frac{x^{2} + 19x - 56}{4 {x}^{2} - 32x}$

Step-by-step explanation:

Start by making the denominators of both fraction the same. This can be done by multiplying one fraction's denominator by the other.

After simplifying and combining the two fractions together, check if the numerator can be factorised such that there is a common factor in the denominator and numerator. In this case, the numerator cannot be factorised.

Lastly, expand the denominator.

$\frac{x + 7}{4x} + \frac{5}{x - 8}$

$= \frac{(x + 7)(x - 8)}{4x(x - 8)} + \frac{5(4x)}{4x(x - 8)}$

$= \frac{x(x) + x( - 8) + 7(x) + 7( - 8) + 20x}{4x(x - 8)}$

$= \frac{ {x}^{2} - 8x + 7x - 56 + 20x }{4x(x - 8)}$

$= \frac{ {x}^{2} + 19x - 56}{4x(x - 8)}$

$= \frac{ {x}^{2} + 19x - 56}{4 {x}^{2} - 32x}$

7 0

2 years ago

HELP ME PLZZ I NEED HELP WITH THIS !!

dimaraw [331]

Answer:

The answer is D. 18 + (-7)

7 0

3 years ago

Read 2 more answers

Find the sum of the measures of the interior angles of a convex 37-gon.

denis-greek [22]

<span>There is an equation to solve this. It looks like: Sum of interior angles = (n - 2) * 180 degrees where n is the number of sides of the n-gon, which is 37.</span>

7 0

3 years ago