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Vera_Pavlovna [14]
2 years ago
14

Find the solution of the system of equations. 4x – y = -32 16x – 3y = -124

Mathematics
1 answer:
MariettaO [177]2 years ago
8 0
The answer issss -7 , 4
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If a person bikes 2.4 miles in 10 minutes how far can he bike in 30 min
Sedaia [141]

Answer:

They can bike 7.2 miles in 30 minutes.

Step-by-step explanation:

2.4 * 3 = 7.2

7 0
3 years ago
Help me with the work
Tpy6a [65]

Answer:

Option B k > 0

Step-by-step explanation:

we know that

Observing the graph

The slope of the line is positive

The y-intercept is negative

we have

3y-2x=k(5x-4)+6\\ \\3y=5kx-4k+6+2x\\ \\3y=[5k+2]x+(6-4k)\\ \\y=\frac{1}{3}[5k+2]x+(2-\frac{4}{3}k)

The slope of the line is equal to

m=\frac{1}{3}[5k+2]

Remember that the slope must be positive

so

5k+2> 0\\ \\k > -\frac{2}{5}

The value of k is greater than -2/5

Analyze the y-intercept

(2-\frac{4}{3}k) < 0\\ \\ 2 < \frac{4}{3}k\\ \\1.5 < k\\ \\k > 1.5

1.5 is greater than zero

so

the solution for k is the interval ------> (1.5,∞)

therefore

must be true

k > 0

5 0
3 years ago
Hank is taking a walking tour of a park. The route he takes is shown on the map above. How far is the fountain from the entrance
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3 years ago
Determine the intercepts of the line.<br> y=5x-13<br><br> Y-Intercept ( , )<br> X-Intercept ( , )
Arte-miy333 [17]

Answer:

Y-intercept is (0, -13)

X-intercept is at (13/5, 0)

Step-by-step explanation:

When it's in this form, y = mx + b, you automatically know what the y-intercept is (b).

So the y-intercept is (0, -13)

To algebraically find this, you'd plug in a 0 for x, since the y intercept is when it crosses the y-axis, which is located at x = 0.

To find the x intercept, you'd do the opposite of the y-intercept, which is plugging in a 0 for y and solving for x. The x-axis is located at y = 0.

0 = 5x - 13

13 = 5x

x = 13/5

The x-intercept is at (13/5, 0)

I hope this helped!

3 0
3 years ago
A university's freshman class has 5000 students. 50% of those students are majoring in Computer Science. How many students in th
Mazyrski [523]
2500 students are computer science majors
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