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polet [3.4K]
2 years ago
11

Choose the graph that matches the following system of equations: (6 points)

Mathematics
1 answer:
KengaRu [80]2 years ago
4 0

The graph that matches the following system of equation is; the picture of a coordinate plane with line y equals negative 4x minus 1 and line y equals minus 3 over 2 times x plus 4. They intersect at negative 2, 7.

<h3>What is the graph of a function?</h3>

The graph of a function y = f(x) shows the position of the x-intercepts and y-intercepts from the graph from which the slope can be drawn.

The system of linear equations can be rewritten in slope-intercept form as follows:

y = -4x - 1

y = -3/2x + 4

From the graph, the two equations intercept at point (-2,7).

Learn more about plotting the graph of a function here:

brainly.com/question/3939432

#SPJ1

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Find the surface area of each figure.
timurjin [86]

Answer:

For a cylinder of radius R and height H, the surface area is given by:

A = 4*pi*R^2 + H*(2*pi*R)

Where pi = 3.14

We can just use that formula for each one of the given cylinders.

1) We can see that the diameter is 10 yd, and the radius is half of the diameter, then the radius is:

R = 10yd/2 = 5yd

And the height is 3yd, then H = 3yd

Replacing these in the area equation, we get:

A = 4*3.14*(5 yd)^2 + 3yd*(2*3.14*5yd) = 408.2 yd^2

2) Here we can see that the diameter is 24 cm, then the radius is:

R = 24cm/2 = 12cm

And the height is H = 10cm

Then the area is:

A = 4*3.14*(12 cm)^2 + 10cm*(2*3.14*12cm) = 2,562.24 cm^2

3) In this case we have a radius equal to 12 cm, and a height equal to 7 cm, then the area is:

A = 4*3.14*(12 cm)^2 + 7cm*(2*3.14*12cm) = 2,336.16cm^2

4) Here is hard to see the measures, I think that here we have:

diameter = 8m

Then R = 8m/2 = 4m

And the height is also 8m, H = 8m

Then the area is:

A = 4*3.14*(4 m)^2 + 8 m*(2*3.14*4m) =401.92 m^2

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Can someone help me figure out how to do this?
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3 &lt; -5n + 2n Please show your work! Just in number form!
vovangra [49]

Answer:

[See Below]

Step-by-step explanation:

✦ Combine like terms:

  ✧ -5n + 2n = -3n

✦ Rewrite:

  ✧ 3 < -3n

✦ Divide:

  ✧ 3 / -3 = -1

So n = -1.

~<em>Hope this Helps Mate. If you need anything feel free to message me. </em>

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