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3 years ago

Consider the graph of the linear equation 2x-5y=10. What is the x-intercept? What is the y-intercept? What is the slope?

1 answer:

4 0

Hey there!

This linear equation is written in standard form, a form in which it's quite easy to find intercepts for one main reason. This reason revolves around zeros. When you see an x intercept, there's always a zero for the y, and when there's a y you see a zero for the x. Therefore, we can do this to get the intercepts.

For x:

2x-5(0) =10
2x = 10
x = (5,0)

For y:

2(0) -5y = 10
-5y=10
y= (0,-2)

Now, to find the slope, we can easily convert it to slope intercept form:

y = mx+b

Where m is the slope and b is he y intercept.

2x-5y=10
-5y=-2x+10
y = 2/5x-2
(notice how we divided both sides by -5)

Therefore, our slope is 2/5. Hope this helps!

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A sweater is on sale for 20% off. A jacket is on sale for 15% off. The sale price for each item is $34.00. Which item cost more

SashulF [63]

The sweater cost more originally. It costs $2.50 more from jacket.

Step-by-step explanation:

Given,

Discount rate of sweater = 20%

Sale price of sweater = (100-20)% = 80%

Discount rate of jacket = 15%

Sale price of jacket = (100-15)% = 85%

Sale price of each item = $34.00

Let,

x be the original price of sweater.

y be the original price of jacket.

80% of x = 34

$\frac{80}{100}x=34\\0.80x=34$

Dividing both sides by 0.80

$\frac{0.80x}{0.80}=\frac{34}{0.80}\\x=42.50$

The original price of sweater is $42.50

85% of y = 34

$\frac{85}{100}y=34\\0.85y=34$

Dividing both sides by 0.85

$\frac{0.85y}{0.85}=\frac{34}{0.85}\\y=40$

The original cost of jacket is $40

Difference = 42.50 - 40 = $2.50

The sweater cost more originally. It costs $2.50 more from jacket.

Keywords: subtraction, division

Learn more about subtraction at:

#LearnwithBrainly

4 0

3 years ago

A bank's loan officer rates applicants using their FICO credit score. The ratings are normally distributed with a mean of 711 an

tekilochka [14]

Answer:

The answer is "778"

Step-by-step explanation:

Given value:

$\to \mu= 711\\\\\to \sigma= 80\\\\\to P(Z >0.84) = 0.20\\\\\to z = 0.84$

The formula for z-score:

$\to x = z \times \sigma + \mu \\\\\to x = 0.84 \times 80 + 711 \\\\ \to x=67.2 +711\\\\ \to x= 778.2\\\\ \to x= 778$

6 0

3 years ago

In the equation Ax + By = C, A and B

Rudik [331]

Answer:

0(x) + BY=c

0 + By = c

By = c

divide both sides by BY

BY/by = c/By

= c/by

3 0

3 years ago

What are distinct angles?

trapecia [35]

Distinct angles are when the angles of a polygon are all different.

4 0

3 years ago

Find the slope of the line.

Damm [24]

y2-y1 / x2-x1 is how to get slop3 for 2 points (x1,y1) and (x2, y2). So 4-1 / 2-0 and the slope is 3/2. If this is right could you possibly give me brainliest? Hope this helped.

8 0

3 years ago