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Leya [2.2K]
4 years ago
13

What is the equation of the line in slope-intercept form?

Mathematics
2 answers:
Bingel [31]4 years ago
7 0
Y= Mx+b

In the equation of a straight line,the slope is the number "m" that is multiplied on the x, and "b<span>" is the </span>y<span>-intercept (that is, the point where the line crosses the vertical </span>y<span>-axis).</span>
OleMash [197]4 years ago
4 0
Y(0.0,5.0) x(-2.0,0.0) there you go hope I helped
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The graph of the function f(x) = (x – 4)(x + 1) is shown below. On a coordinate plane, a parabola opens up. It goes through (neg
DanielleElmas [232]

Answer:

The function is decreasing for all real values of x where x < 1.5.

Step-by-step explanation:

we have

f(x)=(x-4)(x+1)

f(x)=x^2+x-4x-4

f(x)=x^2-3x-4

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the point (1.5,-6.25)

we know that

The function is decreasing in the interval ----> (-∞,1.5)  x < 1.5

That means----> the function is decreasing for all real values of x less than 1.5

The function is increasing in the interval ----> (1.5,∞)  x> 1.5

That means----> the function is increasing for all real values of x greater than 1.5

see the attached figure to better understand the problem

therefore

The statement that is true is

The function is decreasing for all real values of x where x < 1.5.

5 0
4 years ago
Read 2 more answers
Find the rate of change and explain what it represents can you showe the answer
Aneli [31]
The x side of the table which is the left side is dividing by 3
3 0
3 years ago
Y is the midpoint of XZ. If XZ = 8x − 2 and YZ = 3x + 3, find x.
Ad libitum [116K]

Answer:

x = 4

Step-by-step explanation:

2( 3x + 3) = 8x - 2

6x + 6 = 8x -2

6x + 8 = 8x

8 = 2x

4 = x

5 0
3 years ago
ANSWER I ADDED EXTRA POINTS BUT ANSWER RIGHT AND EXPLAIN YOUR ANSWER!!!! 2 QUESTIONS...
Sophie [7]

Answer:

24) D

25) D

Step-by-step explanation:

24) D

We want to find the equation of a line (in slope-intercept form) that passes through (2, -2) and is perpendicular to y=\frac{2}{5}x+2.

First, let's find the slope of our new line.

Remember that perpendicular slopes are negative reciprocals of each other.

Therefore, to find the slope of our new line, we will flip our old slope and add a negative.

Therefore, the slope of our new line is -5/2.

Now, we can use the point-slope form:

y-y_1=m(x-x_1)

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute -5/2 for our slope and (2, -2) for our point (x₁, y₁). This yields:

y-(-2)=-\frac{5}{2}(x-2)

Simplify:

y+2=-\frac{5}{2}(x-2)

Let's convert this to slope-intercept form. Distribute the right:

y+2=-\frac{5}{2}x+5

Subtract 2 from both sides. So, our equation is:

y=-\frac{5}{2}x+3

Our answer is D.

25)

We know that the cost for buying x items is given by the function:

C(x)=6x

We also know that the items are sold in packages of 10 only. And no one can buy more than 5 packages. In other words, we can buy 0, 1, 2, 3, 4, or 5 packages.

So, let's see how much it will be if we buy 0 packages. This will just be:

C(0)=6(0)=\$0

If we buy 1 package, there will be 10 items in them. So:

C(10)=6(10)=\$60

If we do this for 2 packages (20 items), 3 packages (30 items), and so on, we will get:

C(20)=6(20)=\$120\\C(30)=6(30)=\$180\\C(40)=6(40)=\$240\\C(50)=6(50)=\$300

So, our range is:

\{0, 60, 120, 180, 240, 300\}

The correct answer is D.

And we're done!

4 0
3 years ago
3. The temperature of a swimming pool
Anastaziya [24]

Answer:

81 F

Step-by-step explanation:

Hours | Temp.

   0     | 75F

   1      | 77F

   2     | 79F

   3     | 81F

4 0
3 years ago
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