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salantis [7]
3 years ago
11

How to write y= 2x^2 + 8x +7 in standard (vertex) form

Mathematics
1 answer:
Anni [7]3 years ago
3 0
2x^2+8x+7= \\
2(x^2+4x)+7= \\
2(x^2+4x+4-4)+7= \\
2((x+2)^2-4)+7= \\
2(x+2)^2-8+7= \\
2(x+2)^2-1 \\ \\
\boxed{y=2(x+2)^2-1}
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How do you solve this compound inequality???? Please show work!!! Thanks!!
svet-max [94.6K]

5n - 1 < -16

Add 1

5n < -15

Divide

n < -3

n is less than -3


-3n - 1 < 8

add 1

-3n < 9

divide by -3

n < -3

n is also less than -3

3 0
3 years ago
3 + 1 &lt; 10 solve, then graph the solution
ryzh [129]

           3 + 1 < 10

There's no question there, and nothing to solve.  That's a simple statement
which, after simplifying it slightly, says " 4 < 10 ".

A statement with which, I'm sure, we can all agree.


3 0
3 years ago
SOMEONE PLZ HELP ME DO THIS???
Lelu [443]
First do 48.50-21 then divide that amount by 5. Then that’s how much each pair of socks cost so
48.50-21=27.50
27.50%5=$5.50 so rx=$5.50
7 0
3 years ago
Read 2 more answers
Rewrite <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7Bx%5E%7B2%7D-x-12%20%7D%20%20and%20%5Cfrac%7B1%7D%7Bx%5E%7B2%7D-16%20%
gogolik [260]

Answer:

2(x+4)/(x+3)(x-4)(x+4) and 1(x+3)/(x+3)(x-4)(x+4)

Step-by-step explanation:

Factor x^2-x-12: (x+3)(x-4)

Factor x^2-16: (x+4)(x-4)

So, LCD would be (x+3)(x-4)(x+4)

Rewritten: 2(x+4)/(x+3)(x-4)(x+4) and 1(x+3)/(x+3)(x-4)(x+4)

I hope this helped and have a good rest of your day!

4 0
3 years ago
Read 2 more answers
Jose bought 3 pens and 6 pencils for $6.60. Amy bought 5 pens and 8 pencils for $10.00. How much does one pencil cost?
xenn [34]

Answer:

pen = $1.20,  pencil = $0.50

Step-by-step explanation:

let x = pen

let y = pencil

create system of equations:

3x + 6y = 6.60        [can be simplified to be x + 2y = 2.20]

5x + 8y = 10.00

substitution method:

x = 2.2 - 2y

5(2.2 - 2y) + 8y = 10

11 - 10y + 8y = 10

-2y = -1

y = 1/2

solve for 'x':

3x + 6(1/2) = 6.6

3x + 3 = 6.6

3x = 3.6

x = 1.2

7 0
3 years ago
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