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3 years ago

Find the coordinates of the points of intersection of the parabola y=x^2+3x-4 and the line y=2x+2

1 answer:

6 0

You can set the y values equal to each other and solve the system:

x^2+3x-4=2x+2
x^2+x-6=0
(x+3)(x-2)=0
x=-3,2

So, these are the x values of the intersection. To get the y values, you can just plug them back into either formula:

y=2(-3)+2
y=-4

y2(2)+2
y=6

So the coordinates are (-3,-4) and 2,6).

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Salsk061 [2.6K]

Answer: A

Step-by-step explanation:

Use pythagorean thm to solve for the hypotenuse. so $\sqrt{36+144}$ is 13.4

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3 years ago

A 15% discount saves you $5 off the price of an electronic game. How much do you save off the regular price if the discount is w

chubhunter [2.5K]

Answer:

The 45% off discount saves an additional $10 compared to the 15% discount for a total of $15 off regular price.

Step-by-step explanation:

We can find the original price of the game through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $. Since 15% of 100% is the same ratio as $5 to the unknown original $ price, I write:

$\frac{15}{100} =\frac{5}{y}$

I can now cross-multiply by multiplying numerator and denominator from each ratio.

$15y=100(5)\\15y=500$

I now solve for y by dividing by 15.

$\frac{15y}{15} =\frac{500}{15} \\y= 33.33333....$

The original price was $33.34.

Now, we can find the amount if 45% off and then then compare the two discounts. To find the percent off I can multiply by 0.45(33.34)=15. The 45% off discount saves an additional $10 compared to the 15% discount.

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3 years ago

Meal=$40 find the total cost

zepelin [54]

Answer:

Step-by-step explanation:

You want to leave a 15% tip on a meal that cost $48.

First, convert the 15% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 15%) by 100%.So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number.

Second, you need to find out what 15% of your $48 meal cost is.This is always done by multiplying 0.15 by $48.00, or

0.15 x $48.00=$7.20.

So, the amount of tip you are going to leave is $7.20.

This makes the total cost of your meal (to write on your charge slip or other payment)

$48.00 + $7.20 = $55.20.

i hope this may come to use to your rude a s s

7 0

3 years ago

Is this the right answer?

Ne4ueva [31]

Yes your answer is solved correctly

6 0

2 years ago

What fraction is equal to the decimal 0.32

dangina [55]

8/25 is the answer. Hope this helps.

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3 years ago

Read 2 more answers