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Annette [7]
3 years ago
8

For each inequality draw a number line and show all points that satisfy it.

Mathematics
1 answer:
disa [49]3 years ago
7 0

0o----------------------------o5

Step-by-step explanation:

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Keisha is reading a 325-page book at a rate of 25 pages per day. Use a point-slope equation to determine wheatger she will finis
Mumz [18]

Answer:

she can't finish reading the book in 10 days

Step-by-step explanation:

Given that:

Number of pages = 325

Number of pages read per day= 25

Using the linear relation:

y = mx + c

y = number of pages left

m = reading rate ; c = initial number of pages

y = - 25x + 325

Point slope relation :

y - y1 = m(x - x1)

m = slope

We can factorise the equation to the point slope form:

y - 325 = 25(0 - 10)

y - 325 = 0 - 250

y - 325 = - 250

y = - 250 + 325

y = 75

Hence, number of pages left after 10 days = 75, thus she can't finish reading the book in 10 days

3 0
3 years ago
Express the equation in slope-intercept form (1/2,-2) and slope m = 3
Nady [450]

\text{The point-slope form}\ y-y_1=m(x-x_1)\\\\\text{We have the point}\ \left(\dfrac{1}{2},\ -2\right)\ \text{and}\ m=3.\ \text{Substitute}\\\\y-(-2)=3\left(x-\dfrac{1}{2}\right)\qquad|\text{use distributive property}\\\\y+2=(3)(x)+(3)\left(-\dfrac{1}{2}\right)\\\\y+2=3x-\dfrac{3}{2}\\\\\text{The slope-intercept form:}\ y=mx+b\\\\y+2=3x-1\dfrac{1}{2}\qquad|\text{subtract 2 from both sides}\\\\\boxed{y=3x-3\dfrac{1}{2}}

8 0
3 years ago
Which expression is it equivalent to 8(3+2x)?​
Vika [28.1K]

Answer:https://www.wolframalpha.com/pro/step-by-step-math-solver?src=widget

Step-by-step explanation: hope this helps

7 0
3 years ago
What is the y-intercept and slope of the follow<br> unction: 4x-5y=40
zheka24 [161]

Answer:

4x-5y=40

comparing with y=MX+C (equation of a straight line)

we have,

-5y= -4x+40

divide through by. -5

we have,

y= 4/5X - 40/5

therefore,

y= 4/5X - 8

Hence, 4/5 is the slope while -8 is the y-intercept

5 0
3 years ago
Which of the following is a polynomial?
iren2701 [21]

Answer:

I think it's A...

Step-by-step explanation:

It's been a little while since I've done polynomials, binomials, monomials, etc., so I think I'm right, but sorry if I'm wrong...

6 0
3 years ago
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