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3 years ago

1f 3/4 gallon of paint can cover 1/8 of the fence how many gallons will he need to paint the whole fence

Mathematics

1 answer:

lilavasa [31]3 years ago

5 0

Answer:

He will need 6 gallons of painting to paint the whole fence.

Step-by-step explanation:

Since 3/4 gallon of paint covered 1/8 of the fence, we have to multiply 3/4 by 8 in order to find the number of gallons that will paint the whole fence (because 8 x 1/8 = 1)

$\frac{3}{4}$ x $\frac{8}{1}$ = $\frac{24}{4}$ = 6

Hope this helps!

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Write y=2x^2+12x+14 In vertex form

ratelena [41]

Answer:

$\large\boxed{y=2(x+3)^2-6}$

Step-by-step explanation:

The vertex form of a parabola f(x) = ax² + bx + c:

$y=a(x-h)^2+k$

(h, k) - vertex

$h=\dfrac{-b}{2a}\\\\k=f(h)$

We have the equation:

$y=2x^2+12x+14\\\\a=2,\ b=12,\ c=14\\\\h=\dfrac{-12}{2(2)}=\dfrac{-12}{4}=-3\\\\k=f(-3)=2(-3)^2+12(-3)+12=2(9)-36+12=18-36+12=-6$

Finally:

$y=2(x-(-3))^2+(-6)=2(x+3)^2-6$

7 0

4 years ago

Find the exact value in the picture above

fomenos

Answer:

A and B

Step-by-step explanation:

You can take a look at a unit circle to find the solution to this problem (see below).

$\cos^{-1}\left( \dfrac{\sqrt{2}}{2} \right)= \\\\\\\pm \dfrac{\pi}{4}= \\\\\\\dfrac{\pi}{4}, \dfrac{7\pi}{4}$

Hope this helps!

7 0

3 years ago

Two lines, A and B, are represented by equations given below: Line A: y = x − 2 Line B: y = 3x + 4 Which of the following shows

gavmur [86]

The solution to the system of equations is (-3, -5) because the point satisfies both equations

<h3>What is a linear function?</h3>

A linear function is in the form:

y = mx + b

Where m is the slope (rate of change) and b is the y intercept

Line A:

y = x − 2 (1)

Line B:

y = 3x + 4 (2)

Solving both equations simultaneously gives:

x = -3, y = -5

The solution to the system of equations is (-3, -5) because the point satisfies both equations

Find out more on linear function at: brainly.com/question/4025726

6 0

2 years ago

How many solutions does the equation 3x − 7 = 4 + 6 + 4x have? (5 points) Two None Infinitely many One

statuscvo [17]

Answer:

There is one solution.

x = -17

Proof and step-by-step explanation:

Step 1: Add the numbers

3x-7 = 4+6+4x

3x-7 = 10+4x

Step 2: Move terms

3x-7 = 10+4x

3x-4x = 10+7

Step 3: Collect the like terms and calculate the sum

3x-4x = 10+7

-x = 17

Step 4: Change the sign by multiplying both sides by -1

-x (×-1) = 17 (×-1)

x = -17

I hope this helped ! :)

7 0

4 years ago

NO LINKS PLEASE what is the slope of PQ?

OverLord2011 [107]

Answer:

-2/3

Step-by-step explanation:

-1.5 - 0.5 / 2.5 - (-0.5)

= -2/3

3 0

3 years ago