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hram777 [196]
3 years ago
10

Given the two functions,

Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0
4x is the slope (another word for the rate of change) of the equation above. (it's quite obvious if you know the formula and what the variable mean.) This is Slope-intercept form- y = mx + b. M is the slope and b is the y-intercept. 
Now for the graph. This is quite simple to find the slope. The slope is also known as rise over run, meaning how many times it rises over how many times it goes to the side. Let's pick a point on the graph to count. Start at (0,2). Count the squares to the points where the line touches a corner of it. (sorry I'm not good at explaining. I hope you get what I mean.) So from the point (0,2) and count to the side and upwards. The rise (how many squares you went up) is 2, and the run (how many squares you went across) is 1.
 
(rise over run) rise is 2, and run is 1 so it's 1/2. Or just 2 because 2 ÷ 1 is still 2. 
Hope it wasn't to complicating. Good luck!
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Write a real-world application problem such that the equation to be formed to solve the problem is
Ne4ueva [31]

Answer:

X=25

Step-by-step explanation:

Remove parentheses

7x - 5x - 40= 10

Merge the similar terms

2x - 40= 10

Constantly move to the right side and change characters

2x = 10 + 40

Addition

2x = 50

Divide both sides of the equation by 2

x = 25

8 0
2 years ago
For the<br> expression y + 6-3 determine the coefficient for the variable term.<br> (2 points)
aksik [14]

Answer:

The answer is 1.

Step-by-step explanation:

The number is usually in front of the variable, if there is no number, it is a 1.

6 0
3 years ago
Assume that the weight loss for the first month of a diet program varies between 6 pounds and 14 pounds, and is spread evenly ov
Llana [10]

Hello!

For this uniform distribution, the shape of the density function is a line. We can begin by identifying key elements of the distribution:

Range: 6 to 14 pounds

Formula of density function:

y = 1/Range

1 - (14 - 6) = 1/8 = 0.125

f(x) = 0.125

1)

P(x = 7)

A uniform distribution is a continuous distribution, so the probability of x being an EXACT value is approximately 0.

<u>This is the same as if we took the following integral. (Finding the area under a curve with the same start and end point)</u>
\int\limits^a_a {f(x)} \, dx  = 0

Therefore, P(x = 7) = 0.

2)
We can think of this as finding the area of a rectangle.

The width would be the difference between 8.25 pounds and 12 pounds:
W = 12 - 8.25 = 3.75

The height would be the function (y = .125), or:
h = .125

Using the equation for the area of a rectangle: (A = h * w)

A = 3.75 * .125 = 0.469

Thus, P(8.25 < x < 12) = 0.469

3)
To find the probability GREATER than 10.50 pounds, we can subtract this value from the max value for the width:
W = 14 - 10.50 = 3.50

The height is the same as above:
h = .125

Solve for the area:
A = 3.50 * .125 = 0.4375

P(x > 10.5) = 0.4375

5 0
2 years ago
What is the quadratic term for f(x) = 2x(x - 1) - 2x?
erica [24]
I believe it would be 6. the first number and exponent are usually your quadratic terms
6 0
3 years ago
PLEASE HELP ASAP!!
andriy [413]
If I did this correctly it simplifies to 0 = 8. So I think B is the correct answer. Hope this helps!!
6 0
3 years ago
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