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2 years ago

Which of the following systems of inequalities has solutions represented by the graph shown below?

Mathematics

1 answer:

Digiron [165]2 years ago

7 0

Answer:

y ≤ 1/2x - 1

y ≤ -2x + 4

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aleksley [76]

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3 years ago

The sum of two numbers $x$ and $y$ is 399, and the value of the fraction $\frac{x}{y}$ is 0.9. What is the value of $y - x$?

sergey [27]

Answer:

none

Step-by-step explanation:

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4 0

2 years ago

Write as a decimal:<br><br>Explain...<br><br>1 7/12

hichkok12 [17]

Answer:

1 7/12 = 1.58

Step-by-step explanation:

If you divide 7 by 12, you will get 0.583... If you add 1 in the ones, that'll be

1.583... or 1.58.

6 0

2 years ago

19% of 43 estimated answer

Phantasy [73]

Answer:

19% of 43 = 8.17

7 0

3 years ago

Read 2 more answers

Make and explain a prediction about the nature of the solution to the following system of equations, and then solve the system.

Dominik [7]

Answer:

(3,-4) and (-3,4)

Step-by-step explanation:

$x^2+y^2=25$

$4x+3y=0$

The first equation is a circle with radius of 5 units

The second equation is a line which has slope $\frac{4}{3}$

So, for 4 unit change in y there will be 3 unit chang in x.

The circle has its center at the origin and the line passes through the orgin.

The line will intersect the circle at two points giving us two solutions

From the second equation we get

$y=-\frac{4}{3}x$

Applying in the second equation

$x^2+\left(-\frac{4}{3}x\right)^2=25\\\Rightarrow x^2+\frac{16}{9}x^2=25\\\Rightarrow \frac{9x^2+16x^2}{9}=25\\\Rightarrow 25x^2=225\\\Rightarrow x^2=\frac{225}{25}\\\Rightarrow x^2=9\\\Rightarrow x=\pm 3$

When x = 3

$y=-\frac{4}{3}x\\\Rightarrow y=-\frac{4}{3}\times 3\\\Rightarrow y=-4$

When x = -3

$y=-\frac{4}{3}x\\\Rightarrow y=-\frac{4}{3}\times -3\\\Rightarrow y=4$

So, the points where the line and circle intersect are (3,-4) and (-3,4)

6 0

2 years ago