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3 years ago

What is the slope-intercept form of the equation y - 7= -5/2(x+4)

1 answer:

4 0

The first thing I would probably do is distribute (multiply) the -5/2 into the parenthesis:

= (-5/2)x + (-20/2)

Notice how I am not putting the x into the fraction. This is to make it easier to see the slope-intercept form.

Lets simplify the (-20/2) and then add 7 to both sides:

y - 7 = (-5/2)x - 10

y = (-5/2)x - 3

Your answer would then be:

y = (-5/2)x - 3

y = mx + b

Since it is now in the requested format.

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What is the total cost?

solong [7]

Answer:

$0.75

Step-by-step explanation:

if Felix wants 1/4 kilogram of marmalade and it cost $3 per kilogram, you divide 3/4= 0.75

6 0

3 years ago

Read 2 more answers

∠A=6x+5 ∘ space, start color blueD, angle, A, equals, 6, x, plus, 5, degree, end color blueD \qquad\green{\angle B=4x + 45^\circ

anyanavicka [17]

Answer:

Step-by-step explanation:

Find the required figure in the attachment. From the figure, <A = <B (alternate interior angle)

Given

∠A=6x+5

∠B=4x+45

Since <A = <B hence;

6x+5 = 4x+45

Collect the like terms

6x-4x = 45-5

2x = 40

Divide both sides by 2;

2x/2 = 40/2

x = 20

Hence the value of x is 20°

Next is to get the measure of <A

Since <A = 6x+5

Substitute x = 20° into the expression

<A = 6(20)+6

<A = 120+6

<A = 126°

Hence the measure of <A is 126°

5 0

3 years ago

Suppose the population of a certain city is 5289 thousand. It is expected to decrease to 4530 thousand in 50 years. Find the per

Tcecarenko [31]

Answer:

14.4% decrease

Step-by-step explanation:

Here is the formula for finding the percentage of decrease:

(starting value - final value) / starting value * 100.

So for your question,

$\frac{5289-4530}{5289} =.0144\\.0144 * 100 = 14.4\\$ /

There was a 14.4% decrease within 50 years.

5 0

3 years ago

What is the equation of the graph shown?

OlgaM077 [116]

<em>Greetings from Brasil...</em>

As we have a line, the function will be given by the expression:

F(X) = AX + B

where

<em>B = where the line intersects the Y axis</em>

Looking at the graph we have already concluded that

B = - 3

A = ΔY/ΔX

A = (5 - 3)/(4 - 3) see attached picture

A = 2

So,

F(X) = AX + B

5 0

2 years ago

Find the slope of a line that passes through (-2,1) and (4,9)

melamori03 [73]

Answer:

m = 4/3

Step-by-step explanation:

To find the slope of a line use the formula, where "m" means slope:

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

*You don't need to show this part on paper*

Choose which point you want to be point 1 and point 2. Remember the points are written (x, y).

Point 1: (-2, 1) x₁ = -2 y₁ = 1

Point 2: (4, 9) x₂ = 4 y₂ = 9

Substitute the coordinates into the formula:

*Show this part on paper*

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

$m=\frac{9-1 }{4-(-2) }$ Simplify

$m=\frac{8 }{6 }$ Reduce by dividing by 2

$m=\frac{4 }{3 }$ Slope

The slope of the line is 4/3

8 0

3 years ago