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m_a_m_a [10]
2 years ago
13

The system of equations is graphed on the coordinate plane.

Mathematics
1 answer:
Tcecarenko [31]2 years ago
4 0

The solution is: (-1,-2)

Step-by-step explanation:

Given equations are:

y = x-1\ \ \ Eqn1\\y = -2x-4\ \ \ Eqn2

In order to solve two equations with graphing method, the graphs of two equations are made which are straight lines the point of intersection is the solution of the equations.

Here,

The graph is given

To read the solution of the graph we see that on which x and y- coordinates the point of intersection is. then the answer is written as (x-coordinate , y-coordinate)

The solution point is highlighted with a circle. The x-coordinate is -1 and y-coordinate is -2

So,

The solution is: (-1,-2)

Keywords: Linear Equations, Graphing

Learn more about linear equations at:

  • brainly.com/question/6105786
  • brainly.com/question/6075514

#LearnwithBrainly

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An above-ground swimming pool in the shape of a cylinder has a diameter of 18 feet and a height of 4.5 feet.If the pool is fille
steposvetlana [31]

Answer:

The volume of the water in the pool is 1,017 cubic feet

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

V=\pi r^{2} h

we have

r=18/2=9\ ft ----> the radius is half the diameter

Remember that

1\ ft=12\ in

so

6\ in=6/12=0.5\ ft

To find out the height of the water, subtract 0.5 feet from the height of the swimming pool

h=4.5-0.5=4\ ft

assume

\pi =3.14

Find the volume of the water

V=(3.14)(9^{2})(4)

V=1,017\ ft^3

5 0
2 years ago
Which expression is equivalent to [4mn/m⁻2n⁻6}⁻2? Assume m and n do not equal zero
leva [86]
The answer would be {(n^5)^2}/{(4*m^3)^2} = { n^{10} }/{16*m^6}
8 0
2 years ago
Read 2 more answers
Tessa had $90 in her checking account. She paid her cable/internet bill for $60. She deposited $50 from her part-time job before
Lady bird [3.3K]

90-60+50-65=15


$15 in her account

4 0
2 years ago
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Abdullah is a quality control expert at a factory that paints car parts. He knows that 20\ , percent of parts have an error in t
-Dominant- [34]

The error rate has decreased after changing the painting process.

<u>Step-by-step explanation:</u>

Abdulla knows that 20 percent of the parts have an error in their painting. After suggesting changes in painting process, he wants to know whether the error rate has changed.

Number of parts in the random sample=400400400

Number of parts that had an error=606060

We have to determine what percentage of 400400400 is 606060

606060=x/100 \times 400400400\\=0.15%

After changing the painting process 0.15% of parts have error.

The previous percentage was 20.Hence the error rate has clearly changed.

3 0
2 years ago
What are the solutions of the equation 9x4 – 2x2 – 7 = 0? Use u substitution to solve. tions of the equation 9
skelet666 [1.2K]

Answer:

Step-by-step explanation:

Let u^2=x^4\\u = x^2

Subbing in:

9u^2-2u-7=0

a = 9, b = -2, c = -7

The product of a and c is the aboslute value of -63, so a*c = 63.  We need 2 factors of 63 that will add to give us -2.  The factors of 63 are {1, 63}, (3, 21}, {7, 9}.  It looks like the combination of -9 and +7 will work because -9 + 7 = -2.  Plug in accordingly:

9u^2-9u+7u-7=0

Group together in groups of 2:

(9u^2-9u)+(7u-7)=0

Now factor out what's common within each set of parenthesis:

9u(u-1)+7(u-1)=0

We know this combination "works" because the terms inside the parenthesis are identical.  We can now factor those out and what's left goes together in another set of parenthesis:

(u-1)(9u+7)=0

Remember that u=x^2

so we sub back in and continue to factor.  This was originally a fourth degree polynomial; that means we have 4 solutions.

(x^2-1)(9x^2+7)=0

The first two solutions are found withing the first set of parenthesis and the second two are found in other set of parenthesis.  Factoring (x^2-1) gives us that x = 1 and -1.  The other set is a bit more tricky.  If

9x^2+7=0 then

9x^2=-7 and

x^2=-\frac{7}{9}

You cannot take the square root of a negative number without allowing for the imaginary component, i, so we do that:

x=±\sqrt{-\frac{7}{9} }

which will simplify down to

x=±\frac{\sqrt{7} }{3}i

Those are the 4 solutions to the quartic equation.

5 0
2 years ago
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