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butalik [34]
3 years ago
10

Write the set of in roster form if M is the set of integers that are greater that -1 and less than 4?

Mathematics
1 answer:
olchik [2.2K]3 years ago
8 0
If I could understand what you meant my answer is: Set M consisting of 0,1,2 and 3 whose power set has 16 individual sets :)
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Write an equation in slope intercept form for the line that passes through (-1, -2) and (3, 4)
LenaWriter [7]

Answer:

The slope-intercept form of the line equation  is:

  • y=\:\frac{3}{2}x\:-\frac{1}{2}

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the points

  • (-1, -2)
  • (3, 4)

Determining the slope between (-1, -2) and (3, 4)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)

m=\frac{4-\left(-2\right)}{3-\left(-1\right)}

m=\frac{3}{2}

Thus, the slope of the line is:

m = 3/2

substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

4=\frac{3}{2}\left(3\right)+b

switch sides

\frac{3}{2}\left(3\right)+b=4

\frac{9}{2}+b=4

subtract 9/2 from both sides

\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}

b=-\frac{1}{2}

now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation

y = mx+b

y=\:\frac{3}{2}x\:+\:\left(-\frac{1}{2}\right)

y=\:\frac{3}{2}x\:-\frac{1}{2}

Therefore, the slope-intercept form of the line equation  is:

  • y=\:\frac{3}{2}x\:-\frac{1}{2}
8 0
2 years ago
Please help me with this question!!!!!
amm1812

Answer:

B. H(x)=-.008(x-82)^{2}+83

Step-by-step explanation:

Well lets graph the following equation first,

H(x) = -.011(x - 82)^2 + 75

Then lets graph all the other equations.

Look at the image below↓

So A.

The purple line does not go farther or higher,

so A. is incorrect

B.

The black line goes higher and farther,

meaning it is correct.

C.

The red line goes farther but not higher.

So it is incorrect

D.

Again the blue line does not go farther of higher.

So its wrong.

<em>Thus,</em>

<em>answer choice B. </em>H(x)=-.008(x-82)^{2}+83 <em>is correct.</em>

<em />

<em>Hope this helps :)</em>

3 0
3 years ago
Which reason justifies Statement 5?
zloy xaker [14]

Answer:

The answer is A. Substitution

Step-by-step explanation:

Looking at the previous proofs, you can see that:

∠Y≅∠4

∠Z≅∠6

∠X + ∠4 + ∠6 = 180°

Statement 5 then replaces ∠4 and ∠6 with ∠Y and ∠Z, respectively. Replacing it means that it was substituted with the GIVEN values by the previous statements.

The best answer is the Substitution.  

6 0
3 years ago
Read 2 more answers
All professional baseball teams playing field are the same size the three bases and home plate make a diamond that is 90 feet on
Leni [432]
It would be 90(4 sides)= 360 ft

or 90ft+90ft+90ft+90ft=360ft
4 0
3 years ago
Someone please help me find the value of x
Nady [450]

Hello,

5x² = 90/2

5x² = 45

x² = 45/5

x² = 9

x = √9 or x = -√9

x = 3 or x = -3

4 0
1 year ago
Read 2 more answers
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