Rewrite by completing the square. 2x^2+7x+6=0

Answers

Answer 1

Answer: (2x + a)(x + b)

2b + a = 7
b*a = 6

factors of 6: (2x3) and (6x1)

let b = 2, a = 3

2(2)+ 3 = 7 check

(2x + 3)(x + 2)

Answer 2

Answer:

Final answer:

To complete the square and rewrite the quadratic equation 2x^2+7x+6=0, follow these steps: move the constant term, divide the coefficient of x^2, square half of the coefficient of x, add the result to both sides, factor the left side, take the square root, and solve for x.

Explanation:

To rewrite the quadratic equation 2x^2+7x+6=0 by completing the square, follow these steps:

Move the constant term to the other side of the equation: 2x^2+7x = -6.
Divide the coefficient of x^2 by 2: x^2+(7/2)x = -3.
Take half of the coefficient of x and square it: (7/4)^2 = 49/16.
Add the result from step 3 to both sides of the equation: x^2+(7/2)x+49/16 = -3+49/16.
Factor the left side of the equation: (x+7/4)^2 = (1/16).
Take the square root of both sides of the equation: x+7/4 = ±(1/4).
Solve for x: x = -7/4 ±(1/4).

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The book fair had a sale where 6 books were $20.46 if you wanted to buy 7 books how much money would you need?(show work)

Answers

The cost per book is $3.41 thus the cost of buying 7 books will be $23.87 maintaining the given ratio.

What are the ratio and proportion?

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

For example, a/b, where a will be the numerator and b will be the denominator.

As per the given,

The book fair had a sale where 6 books were $20.46.

Cost per book = 20.46/6 = $3.41

To buy 7 books,

The cost of buying 7 books at $3.41 per book will be,

⇒ 3.41 × 7 = $23.87

Hence "The cost per book is $3.41 thus the cost of buying 7 books will be $23.87 maintaining the given ratio".

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You would do 7 times 20.46 which is $143.22

at a wonderful water park, the water trough ride $2.75 per ride. if you have $15, then how many times could you ride

Answers

Answer:

5 times

Step-by-step explanation:

Since it is 2.75 dollars per ride if you multiply 2.75 times 5 you get $13.75 and you cant add anymore.

DO 15\2.75 (Divide)

You should get 5.4545454545

So you will have to round

So you can ride it about 5 times

Will u b my friend
WILL GIVE BRAINLIEST FOR YES

Answers

Answer:

I'm down for a new friend

Step-by-step explanation:

sent the request

ᵤᵤ ᵧₑₛ

ᵘʳ ᵃⁿˢʷᵉʳ ʷᶦˡˡ ᵖʳᵒᵇᵃᵇˡʸ ᵍᵉᵗ ᵈᵉˡᵉᵗᵉᵈ ᵗʰᵒ

PLEASE HELP!!!!The coordinates below represent two linear equations. How many solutions does this system of equations have?

Line 1
x y
–4 8
4 6

Line 2
x y
–1 1
3 5

A.

0

B.

exactly 1

C.

exactly 2

D.

infinitely many

Answers

This may be one of those questions that could take
more paper to ask than to answer.

Line-1 goes through (-4, 8) and (4,6) .

Its slope is (difference in 'y') / (difference in 'x')

Dif in 'y' = (6 - 8) = 2
Dif in 'x' = (4 - -4) = 8
Slope of Line-1 = 2/8 or 1/4

Line-2 goes through (-1, 1) and (3, 5)

Its slope is (difference in 'y') / (difference in 'x')

Dif in 'y' = (5 - 1) = 4
Dif in 'x' = (3 - -1) = 4
Slope of Line-2 = 4/4 = 1

Slope of Line-1 = 1/4
Slope of Line-2 = 4

The slopes of the lines are different.
They can't be parallel, and they can't be the same line.
They must intersect in one point, and only one point.

That means the pair of equations has exactly one (1) solution.

Divide ratio

£360 in the ratio 1 : 8

Answers

answer --> 40 : 320

1/9 x 360 = 40
8/9 x 360 = 320

Harold brought three pounds of red apples and 4.2 pounds of green apples from the grocery store we're both kinds of apples are $1.75 a pound how much did Harold spend on apples

Answers

So you multiply because you want to find out the cost of the total amount of apples per pound bought. You multiply 3 and 1.75 and you should get $5.25 for red apples. You multiply 4.2 pounds and 1.75 and you should get $7.35 for green apples.

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