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adoni [48]
2 years ago
12

Apr 17, 1:42:09 AM

Mathematics
1 answer:
SVEN [57.7K]2 years ago
3 0

Answer:

(-1, 5)

Step-by-step explanation:

3 [x + y = 4]

  3x + 3y = 12

-  3x + 7y = 32

-4y = -20

y = 5

x + 5 = 4

x = -1

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Write the expression in simplest form:<br><br> 5n - 6 + n - 1
nata0808 [166]
To write this equation in simplest form, we simply need to combine all like terms. The like terms in this particular expression are the terms with an n-variable and the terms with no variable. So we can combine them to simplify our expression.

5n - 6 + n - 1

First step, we can reorder our terms so that like terms are near each other

5n + n - 6 - 1

Now we can combine easily

(5n + n) - (6 - 1)

6n - 5

And that is your simplified expression.

5n - 6 + n - 1 in simplest form is 6n - 5.
Hope that helped! =)
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3 years ago
How do you write 4.293 in expanded form?
Anika [276]
4.000 plus 200 plus 90 plus 3
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Use the quadratic function f(x) = 2x^2 + 4x - 15. Find any x intercepts.
8_murik_8 [283]

So for this function we will be using the quadratic formula, which is x=\frac{-b+\sqrt{b^2-4ac}}{2a},\frac{-b-\sqrt{b^2-4ac}}{2a} , to solve. a = x^2 coefficient, b = x coefficient, and c = constant. Using our equation, we can solve for the zeros (x-intercepts) as such:

x=\frac{-4+\sqrt{4^2-4*2*(-15)}}{2*2},\frac{-4-\sqrt{4^2-4*2*(-15)}}{2*2}\\ \\ x=\frac{-4+\sqrt{16-(-120)}}{4},\frac{-4-\sqrt{16-(-120)}}{4}\\ \\ x=\frac{-4+\sqrt{136}}{4},\frac{-4-\sqrt{136}}{4}\\ \\ x=1.92,-3.92

In short, your x-intercepts (rounded to the hundredths) are (1.92,0) and (-3.92,0).

6 0
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Multiplying Polynomials, Simplify with Work Shown.
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Answer:

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Step-by-step explanation:

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3 years ago
Mike has a barrel in the barn to keep water for his cows. The barrel is 4.5 feet tall and has a diameter of 3 feet. Approximatel
sergiy2304 [10]

Answer:

Approximately 238\ gallons

Step-by-step explanation:

we know that

The volume of a cylinder (barrel) is equal to

V=\pi r^{2}h

in this problem we have

h=4.5\ ft

r=3/2=1.5\ ft -----> the radius is half the diameter

substitute

V=(3.14)(1.5^{2})(4.5)=31.7925\ ft^{3}

<u>Convert to gallons</u>

31.7925\ ft^{3}*7.5=238.44\ gallons

8 0
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