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telo118 [61]
3 years ago
15

What is the x-value at which the graphs of y = x2 – 2x + 1 and y = x2 + 2x – 7 inter- sect?

Mathematics
1 answer:
Kitty [74]3 years ago
5 0

Answer:

x = 2

Step-by-step explanation:

Both equations are equal to y, so they're also equal to each other.  We then set them equal to each other:

x^2 - 2x + 1  =  x^2 + 2x - 7

We now do algebra to isolate x.  Subtract 1 from both sides.

x^2 - 2x  =  x^2 + 2x - 8

Subtract 2x from both sides.

x^2 - 4x  =  x^2 - 8

Subtract x^2 from both sides.

-4x = -8

Divide both sides by -4.

x = 2

You might be interested in
X squared minus 7x plus 10 equals 0
joja [24]
X² - 7x + 10 = 0

Let's factor out the equation first.

x² - 7x + 10

x             -2
x             -5

This factoring of (x-2)(x-5) fit the equation.

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

One of the factors must equal 0 as to equal zero.

Either x - 2 = 0 or x - 5 = 0

x - 2 = 0 
x = 2

x - 5 = 0
x = 5

The two answers are x = 2 or x = 5. Hope this helps!
3 0
3 years ago
What is the fraction for five over two
nignag [31]

Answer:

So normally you would say it as

                  \       /

                <em>2 and 1/2</em>

                  /       \

<em>(2 1/2)</em>

<em></em>

*eliza*

<em></em>

<em></em>

3 0
3 years ago
Please answer correctly I will mark you Brainliest!
BartSMP [9]

Answer:

1047.12in³

Step-by-step explanation:

The volume of the sphere is:

V= 4/3 πr³

Where r is radius

Therefore the volume of each pinata is:

V= 4/3 x π x 5³

V= 523.6in³

The total:

V = 523.6 + 523.6 = 1047.12in³

7 0
3 years ago
Anna is 4ft 9in tall. Express Anna's height in feet only by using a mixed number. If necessary, simplifyvthe fraction part of th
Svetach [21]
So we know that there are 12 inches in a foot. With this information we can do this:4 \frac{9}{12} But if you look you can see that the fraction is not simplified. How can we simplify it? Well, what is the Greatest Common Factor of 9 and 12? Well, the answer is 3! So divide 9 and 12 by three! SO the answer would be: 4 \frac{3}{4} I hope this helps!
6 0
3 years ago
A truck that can carry no more than 6500 lb is being used to transport refrigerators and upright pianos. Each refrigerator weigh
anyanavicka [17]

Answer:

Equation: 300x+425y= 6500 (if you assume that you would get an exact total)

Answer: Yes, 11 refridgerators and 9 pianos will overload the truck because 11x300=3,300 and 9x425=3,825 which in total equals 7,125, which is way too much for the truck.

An equation that works: 300(10)+425(8)=

Step-by-step explanation:

If each refrigerator is 300 pounds and we need to see if 11 would fit on the truck, multiply 300 times 11 which equals 3,300. Next repeat the same step but for the pianos… 425 times 9 which equals 3,825 now you add. You should get 7,125, meaning this ratio is way to large for the truck to carry.

Since this does not work we should try take away one of each. So let’s say the new rati is 10 refrigerators to 8 pianos. We would repeat the same steps from above. 10x300=3,000       8x425=3,400

If we add these, we get 6,400 so the final expression would be 300(10)+425(8)=6,400 which would be the closest the the most you can transport on the truck.

Sorry if this was not the answer you were looking for, I may have misinterpreted the question.

6 0
2 years ago
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