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scoundrel [369]
3 years ago
5

What is the solution set of y = x2 + 2x + 7 and y = x + 7?

Mathematics
1 answer:
Zina [86]3 years ago
6 0
The correct answer is 
y=x²+2x+7
y=x+7

==>x²+2x+7=x+7
==>x²+x=0
==>x(x+1)=0
==>(x=0 and y=7) or (x=-1 and y=-1+7=6)

Sol={(0,7),(-1,6)}

Hope this helps!

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dlinn [17]
Yes I Belive so yeah
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3 years ago
PLEASE I NEED HELP! THANK YOU.
Elden [556K]

First set up a linear equation  and using the x and y values in the table see if it solves.

It doesn't solve so we know it isn't linear. ( I won't show all those steps because they aren't needed.)

Using the quadratic formula y = ax^2 +bx +c

Build a set of 3 equations from the table:

C is the Y intercept ( when X is 0), this is shown in the table as 6

Now we have y = ax^2 + bx + 6

-2.4 =4a-2b +6

1.4 = a-b +6

Rewrite the equations

a=b/2 -2.1

1.4 = b/2-2.1 +6

b = 5

a = 5/2 -2.1 = 0.4

replace the letters to get y = 0.4x^2 + 5x +6

4 0
3 years ago
Write a translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 ). I NEED HELPPPP!
anzhelika [568]

Answer:

T_{ - 5 ,8} \: or \: D'(x,y) →D(x - 5,y + 8)

Step-by-step explanation:

T _ { ? ,?}

D'(x,y) →D(x \pm ?,y \pm ?)

given D : (7,-3), and D' : (2,5)

the coordinates of D can be represented as (x1,y1), and the coordinates of D' can be represented as (x,y).

you can simply take the difference in the x values and difference in the y values from the preimage to image.

like this:

f'(x,y) → f(x+(x-x1),y+(y-y1)) : T _ {(x-x_1),(y-y_1)}

D'(x,y) → D(x+(2-7),y+(5--3))

D'(x,y) → D(x<u>-5</u>,y<u>+8</u>) : T _ {-5 ,8}

7 0
3 years ago
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IL COSL al we creeree viall
kakasveta [241]

Answer:

<em>In the next year, Anthony worked 2,084 hours</em>

Step-by-step explanation:

Anthony worked 1,697 hours in 2010.

We also know Anthony worked 22.8% more hours than in 2010.

The problem requires to calculate how much did Anthony work in the next year.

It can be calculated as follows:

Take 22.8% of 1,697:

22.8 * 1,697 / 100 = 386.916\approx 387\ hours

Now calculate by adding it to the original number of hours:

1,697 + 387 = 2,084 hours

In the next year, Anthony worked 2,084 hours

8 0
3 years ago
Can someone help me with this question
Dmitriy789 [7]

Answer:

The horizontal shift is to the left by 2 units and the vertical shift is down 3 units for this function.

I hope I was able to help!

Step-by-step explanation:

7 0
2 years ago
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