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3 years ago

A system of equations is shown below:

1 answer:

6 0

X+y=3

Subtract x from both sides

y=-x+3

Substitute

2x--x+3=6
2x+x+3=6
3x+3=6

Subtract 3 from both sides

3x=3

Divide both sides by 3

x=1

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X 12. Find the volume of the composite solid. Use 3.14 for . 5.5 ft Find the volume of the cone using the formula.

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Answer: 74.61 ft^3

Step-by-step explanation:

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2 years ago

Help solve! stuck on factoring

sweet-ann [11.9K]

Answer:

a = x and b = 4

Step-by-step explanation:

x^3 - 64 = (x - 4)(x^2 + 4x + 16)

a = x and b = 4

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3 years ago

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A piece of cardboard has the dimensions (x + 15) inches by (x) inches with the area of 60 in 2 . Write the quadratic equation th

pochemuha

Answer:

$x^2 + 15x - 60 = 0$

The actual dimension is 18.28 by 3.28

Step-by-step explanation:

Given

Dimension:

$(x + 15)\ by\ x$

$Area = 60in^2$

Required

Determine the quadratic equation and get the possible values of x

Solving (a): Quadratic Equation.

The cardboard is rectangular in shape.

Hence, Area is calculated as thus:

$Area = Length * Width$

$60= (x + 15) * x$

Open Bracket

$60= x^2 + 15x$

Subtract 60 from both sides

$x^2 + 15x - 60 = 0$

<em>Hence, the above represents the quadratic equation</em>

Solving (b): The actual dimension

First, we need to solve for x

This can be solved using quadratic formula:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

Where

$a = 1$

$b = 15$

$c = -60$

So:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-15 \± \sqrt{15^2 - 4*1*-60}}{2*1}$

$x = \frac{-15 \± \sqrt{225 + 240}}{2}$

$x = \frac{-15 \± \sqrt{465}}{2}$

$x = \frac{-15 \± \21.56}{2}$

Split:

$x = \frac{-15 + 21.56}{2}$ or $x = \frac{-15 - 21.56}{2}$

$x = \frac{6.56}{2}$ or $x = \frac{-36.36}{2}$

$x = 3.28$ or $x = -18.18$

But length can't be negative;

So:

$x = 3.28$

The actual dimensions: $(x + 15)\ by\ x$ is

$Length =3.28 +15$

$Length =18.28$

$Width = x$

$Width =3.28$

<em>The actual dimension is 18.28 by 3.28</em>

3 0

3 years ago

360 Kilometers is 24% of _____ Kilometers

Evgen [1.6K]

Divide 360 by 24 to find 1%. Then multiply by 100. 360/24 *100= 1500

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3 years ago

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Find f(g(x)) for the functions f(x)=5sqrt(x+1)-2 and g(x)=x^2-1

aivan3 [116]

The value of the composite function f(g(x)) is 5x + 2

<h3>Composite functions</h3>

Composite functions are functions inside another function. Given the following functions:

f(x) = 5√x+1 - 2

g(x) = x² - 1

Determine the composite function f(g(x))

f(g(x)) = f(x² - 1)

f(x² - 1) = 5√x² - 1+1 - 2

f(x² - 1) = 5√x² + 2

f(x² - 1) = 5x + 2

Hence the value of the composite function f(g(x)) is 5x + 2

Learn more on composite function here: brainly.com/question/13502804

#SPJ1

5 0

2 years ago