The linear combination method is applied to a system of equations as shown.

4(.25x + .5y = 3.75) → x + 2y = 15
One-fourth(4x – 8y = 12) → x – 2y = 3
2x = 18
What is the solution of the system of equations?

Part (a)

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Work Shown:

Let's say we have

To find the volume of the block, we multiply the length width and height.

So,

volume = (length)*(width)*(height)

V = L*W*H

V = LW*(x+3) .... replace H with (x+3)

V = LW*x + LW*3 .... distribute

V = Lx*(W) + 3L*(W)

V = Lx(x+4) + 3L(x+4) .... replace W with x+4

V = Lx^2 + 4Lx + 3Lx + 12L .... distribute

V = Lx^2 + 7Lx + 12L

V = x^2*(L) + 7x*(L) + 12*(L)

V = x^2*(x+5) + 7x*(x+5) + 12*(x+5) .... replace L with x+5

V = x^3 + 5x^2 + 7x^2 + 35x + 12x + 60 .... distribute

V = x^3 + 12x^2 + 47x + 60

x^3 + 12x^2 + 47x + 60 is the polynomial in standard form that represents the volume of the block.

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Part (b)

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Work Shown:

We can plug x = 3 into the polynomial we found

V = x^3 + 12x^2 + 47x + 60

V = (3)^3 + 12(3)^2 + 47(3) + 60

V = 27 + 12(9) + 47(3) + 60

V = 27 + 108 + 141 + 60

V = 336

Or we could find the volume like this

V = L*W*H

V = (x+5)*(x+4)*(x+3)

V = (3+5)*(3+4)*(3+3)

V = (8)*(7)*(6)

V = 336

Either way, we get the same volume of 336 cubic feet.

Answer:

Step-by-step explanation:

D is a rough estimate because the actual output would be

9.8(1.098)(1.051)

Answer:

g= -2

Step-by-step explanation:

Answer:

g=−2

Step-by-step explanation:

regroup: 2(3+g)−g=−4(g+1)

expand: 6+2g−g=−4g−4

simplify: 6+g=−4g−4

add 4 to both sides: 6+g+4g=−4

simplify again: 6+5g=−4

5g=−10

divide 5

g=-2

Answer:

3/4

Step-by-step explanation:

4(3n-7)=-19

3n-7=-19/4

3n=-19/4+7

3n=-19/4+28/4

3n=9/4

n=(9/4)/3

n=(9/4)(1/3)

n=9/12

simplify

n=3/4

Answer:

3/4

You would have to divide both sides by 4

Step-by-step explanation:

[tex]\frac{4(3n-7)}{4} =\frac{-19}{4}[/tex] ( divide both sides by 4 )

[tex]3n-7= -\frac{19}{4}[/tex]  ( simplify )

[tex]3n-7+7=-\frac{19}{4} +7[/tex] ( add 7 to both sides )

[tex]3n=\frac{9}{4}[/tex]  ( simplify )

[tex]\frac{3n}{3} =\frac{\frac{9}{4} }{3}[/tex]  ( divide both sides by 3 )

[tex]n=\frac{3}{4}[/tex]

Answer:

2^8

Step-by-step explanation:

Answer:

just do pythagorean theorem  

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

This is a Pythagorean Problem

Formula

a^2 + b^2 = c^2

a = 5

b = ?

c = 9

Solution

5^2 + b^2 = 9^2             Expand the givens

25 + b^2 = 81                  Subtract 25 from both sides

25-25+b^2 = 81- 25

b^2 = 56

√b^2 = √56

b = √8*7

b = √2*2*2*7

b = 2 √2*7

b = 2 √14

For every 2 prime factor under the square root sign, 1 of them can be taken out from under the root and the other is thrown away.

Answer: green

Step-by-step explanation: 2 + 2 = 5

Answer:

First option is the correct answer

[tex]m= 14 \sqrt 2, \: n = 14[/tex]

Step-by-step explanation:

Hope it helps you in your learning process.

Given is a 45°-45°-90° triangle.

Measure of sides n and 14 are opposite to 45° degree angles.

Therefore, they are equal.

So, n = 14

[tex] 14 = \frac{1}{\sqrt 2}\times m[/tex]

[tex] 14 \sqrt 2=m[/tex]

Answer:

y = 2x+2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the y-intercept first, then, from that point, go tide over run to find your slope. This line has a positive slope, so count up two and over one (2/1). After that, input what data you've collected into your equation (y = mx + b) and you'll have your answer.

Answer:

xy = - 27

Step-by-step explanation:

Note that

(x - y)² = x² - 2xy + y² ← substitute given values, that is

9² = 27 - 2xy

81 = 27 - 2xy ( subtract 27 from both sides )

54 = - 2xy (divide both sides by - 2 )

- 27 = xy

i would say c maybe?

Answer: B - 402

Edge 2020

Answer:

88....................

Answer:

88 people

Hope it helps!!!!

Answer:

The function B has greater constant

Step-by-step explanation:

[tex]m(b) = \frac{20 - 15}{1 - 2} = - 5 \\ y = - 5x + c \\ when \: y = 20 \: \: \: \: \: and \: x = 1 \\ 20 = - 5 \times 1 = c \\ c = 25[/tex]

Answer:

x = 4 + √ 6 , 4 − √ 6 hope this is correct-

Answer:

-2

Step-by-step explanation:

the slope-intercept form

Answer:

Step-by-step explanation:

Answer:

I think it's B

Step-by-step explanation:

because you won't draw the same card twice because you took that card out of the running

hope this helps sorry if I'm wrong

Putting on a pair of pants and a shirt without looking at them are pair of events which are dependent on one another

Probability is a branch of mathematics which deals with the occurrence of a random event.

Drawing a certain card from a deck probability depends on whether or not another card has been drawn previously, as  it changes the number of cards remaining in the deck and the likelihood of drawing a certain card.

Drawing a pair of cards from a deck is the  pair of events which are dependent on one another.

Hence, putting on a pair of pants and a shirt without looking at them are pair of events which are dependent on one another

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ6

Answer:

Yes she is correct

Step-by-step explanation:

Answer:

roughly 12.56 units

Step-by-step explanation:

Since the perimeter of a circle is 2*pi*r, we can divide it by two or multiply by half in order to find the perimeter of a semicircle

half of the diameter is the radius, so 8/2 =4, r=4

Plug in what we know...

C=2*pi*4

Solve

2*3.14*4

25.12

divide by 2

25.12/2=12.56

12.56 units is the perimeter

Answer:

Approx. 20.566 units

Step-by-step explanation:

Find the circumference of the whole circle first by doing:

C = 2πr

r = 4 (8 divided by 2)

C ≈ 25.133

Then divide that by two because a semi-circle is half a circle:

12.566

Then add 8 (diameter) to that number for the open side.

Hope this helps :)

Step-by-step explanation:

The top answer is x and the bottom answer is 14.

Answer:

7/4

Step-by-step explanation:

Answer:

The Answer would be 7/4 as an Improper fraction

Step-by-step explanation:

Answer:

2 2/5

Step-by-step explanation:

2/5 x 6 = 12/5 = 2 2/5

Hope that helps!

Answer:

x < 11

Step-by-step explanation:

Taking the problem piece by piece;

five is greater than

5 >

the result of taking six away from x

x - 6

Solve for x;

5 > x - 6

5 + 6 > x

11 > x

x < 11

Answer: 85

Yupyupyupypu

Answer:

392m^2

Step-by-step explanation:

as the length = diameter of the circular park

then

Area = length * width = 56 * 7 = 392m^2

Answer:

your answer is in this attachment

Step-by-step explanation:

hope it's helpful to you

have a great day ahead buddy

Answer:

245°

Step-by-step explanation:

the bearing is 180° + 65° = 245°

HOPE THIS HELPS

Answer:

3 inches

Step-by-step explanation:

It is 3 inches as seen in the square boxes within the big square