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3 years ago

Can someone help me answer these two questions

Mathematics

1 answer:

andrew11 [14]3 years ago

8 0

Answer:

C) 7=y=5x+11

B) m=-4/5, b=13/5

Step-by-step explanation:

Problem 1:

A function is linear if its slope is constant and/or its graph is straight (that means 1-degree polynomials only). Therefore, C is the only correct answer.

Problem 2:

Convert to slope-intercept form (y=mx+b):

4x+5y=13

5y=13-4x

y=13/5-4/5x

y=-4/5x+13/5

Now we can see that since the original equation is in slope-intercept form (y=mx+b), the slope, m, is -4/5, and the y-intercept, b, is 13/5, making option B the correct answer.

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How would I graph this inequality? <img src="https://tex.z-dn.net/?f=7x%2B3y%5C%20%20%5Ctextless%20%5C%206-5x" id="TexFormul

Anon25 [30]

Answer:

the graph in the attached figure

Step-by-step explanation:

we have

$7x+3y$

isolate the variable y

Subtract 7x both sides

$3y$

Divide by 3 both sides

$y$

The solution of the inequality is the shaded area below the dashed line

The equation of the shaded line is $y=-4x+2$

The slope of the dashed line is negative $m=-4$

The y-intercept of the dashed line is the point $(0,2)$

The x-intercept of the dashed line is the point $(0.5,0)$

To graph the inequality plot the intercepts and shade the area below the dashed line

using a graphing tool

the graph in the attached figure

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3 years ago

A rectangular garden is 8 feet wide and 15 feet long. A diagonal path cuts through the entire garden. How long is the path?

iragen [17]

${15}^{2} \times {8 }^{2} = 289 \\ \\ \sqrt{289 } = 17$

7 0

3 years ago

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Noah’s remote control car moved 12 feet in 6 seconds. Which graph has a slope that best represents Noah’s car’s average rate of

vaieri [72.5K]

We want to find a graph that represents Noah's average speed.

We define the average speed as the quotient between the distance moved and the time it takes to move that distance, then in this case we will have:

s = 12ft/6s = 2ft/s

Then we can define a linear equation:

y = (2ft/s)*x

As the distance that Noah travels in x seconds.

The graph of the given linear function can be seen below, and that is the graph with the slope that best represents Noah's average speed.

If you want to learn more, you can read:

brainly.com/question/11897796

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3 years ago

What is the graph of linear inequality 2y>x-2

pickupchik [31]

Answer:

Please refer to the attached graph for the graph of linear inequality:

$2y>x-2$

Step-by-step explanation:

Method to draw graph of inequality:

1. First of all replace the inequality sign with equality.

Now the equation is:

$2y=x-2$

Now, find point and plot them.

Let us put x = 0, we get y = -1. So one point is (0, -1)

Let us put y = 0, we get x = 2. So one point is (2,0)

Now, plot both the point and join with straight line on xy coordinate axis.

2. Now, try to find a random point and put in the inequality.

If the point satisfies the inequality shade the region moving from the line towards that point.

For example:

Taking a point (4, 2)

Putting in the inequality:

$8 > 2-2 \\8>0$

So, (4, 2) satisfies the inequality.

Now, shade the region moving from the line towards the point (4,2).

We get the shaded region as shown in the attached figure in the answer area.

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3 years ago

Please help me!!! Will give 100 points. Will give BRAINILEST

Oksana_A [137]

Step-by-step explanation:

The shape of the new pizza must meet the conditions:

Be an irregular polygon (different sides and/or angles).
Have at least five sides.
Have the approximately the same area as a 14" diameter circle.
Fit in a 14⅛" × 14⅛" square.
Be divisible into 8-12 equal pieces.

For simplicity, I will choose a polygon with 5 sides (a pentagon), and I will use 2 right angles (a "house" shape).

Split the pentagon into a rectangle on bottom and triangle on top. If we cut the rectangle into 8 pieces like a regular pizza, and the triangle in half, we get 10 triangles.

Now we just need to figure out the dimensions. The area of a 14" circular pizza is:

A = πr²

A = π (7 in)²

A ≈ 154 in²

That means the area of each triangle slice needs to be 15.4 in². If we make the total width of the pentagon 14", then the width of each triangle is 7", and the height of each triangle is:

A = ½ bh

15.4 in² = ½ (7 in) h

h = 4.4 in

Which makes the total height of the pentagon 3h = 13.2 in.

So, our 13.2" × 14" pentagon has at least 5 sides, is irregular, has the same area as a 14" diameter circle, fits in a 14⅛" × 14⅛" square, and can be divided into 8-12 equal pieces.

Of course, there are many possible solutions. This is just one way.

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3 years ago

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