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2 years ago

The system of equations is graphed on the coordinate plane.

Mathematics

1 answer:

ehidna [41]2 years ago

3 0

Answer: The solution is (3, -2)

This means that x = 3 and y = -2 pair up together.

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Explanation:

The solution is where the two lines cross. Note if we started at the origin (0,0) and moved to the right 3 units, and then down 2 units, we would arrive at the location (3, -2).

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As a way to check, we can plug x = 3 into each equation. We should get y = -2 as a result for each equation

y = (-5/3)x + 3

y = (-5/3)*3 + 3

y = -5+3

y = -2

The first equation is confirmed. Let's check the second equation

y = (1/3)x - 3

y = (1/3)*3 - 3

y = 1 - 3

y = -2

Both equations have the y value equal -2 when x = 3. Therefore, the overall solution is confirmed.

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1.20 x 10⁶ 6.0 x 10⁵

omeli [17]

Answer:

$1.20 x 10^{6}=1,200,000\\\\6.0 x 10^{5}=600,000$

Step-by-step explanation:

You move the decimal place over 6 times for the first equation and 5 for the second equation.

Hope this helps! Have a great day! :)

8 0

3 years ago

Given f(x) and g(x) are inverse functions. If f(-2)=1 then g(1)=-2 True False

PilotLPTM [1.2K]

True.

The y-axis of the f(x) must equal to the x-axis of g(x)

The x-axis of the f(x) must equal to the y-axis of g(x)

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3 years ago

Read 2 more answers

Can 40:70 be simplified?

Veseljchak [2.6K]

No they are not equivalent and if you are trying to get a mixed number try dividing

8 0

3 years ago

After arianna completed some work, she figured she still had 78 21/100 pictures to paint. if she completed another 34 23/25 pict

dezoksy [38]

Subtract the number she completed from what she had left to paint originally.

The fractions have different denominators so first step is to rewrite the fractions with a common denominator.

23/25 can be rewritten as 92/100

Now you have 78 21/100 - 34 92/100

Because 21/100 is smaller than 92/100 subtract 1 whole number from 78 and rewrite 1 as 100/100 and add that to the fraction.

78 21/100 becomes 77 121/100

Now subtract :

77 121/100 - 34 92/100

77-34 = 43

And 121/100 - 92/100 = 29/100

Combine to get 43 and 29/100

3 0

3 years ago

The equation of a quadratic is =2^2+3−2and after you factorizing 2^2+3−2=0you got x = -2 and x = 1/2 and the curve crosses the y

Lelechka [254]

Given the next quadratic function:

$y=2x^2+3x-2$

to sketch its graph, first, we need to find its vertex. The x-coordinate of the vertex is found as follows:

$x_V=\frac{-b}{2a}$

where a and b are the first two coefficients of the quadratic function. Substituting with a = 2 and b = 3, we get:

$\begin{gathered} x_V=\frac{-3}{2\cdot2} \\ x_V=-\frac{3}{4}=-0.75 \end{gathered}$

The y-coordinate of the vertex is found by substituting the x-coordinate in the quadratic function, as follows:

$\begin{gathered} y_V=2x^2_V+3x_V-2 \\ y_V=2\cdot(-\frac{3}{4})^2+3\cdot(-\frac{3}{4})-2 \\ y_V=2\cdot\frac{9}{16}+3\cdot(-\frac{3}{4})-2 \\ y_V=\frac{9}{8}-\frac{9}{4}-2 \\ y_V=-\frac{25}{8}=-3.125 \end{gathered}$

The factorization indicates that the curve crosses the x-axis at the points (-2, 0) and (1/2, 0). We also know that the curve crosses the y-axis at (0,-2). Connecting these points and the vertex (-0.75, -3.125) with a U-shaped curve, we get:

6 0

1 year ago