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NikAS [45]
3 years ago
5

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 1, negative 1) and (0, 1). Everyth

ing to the left of the line is shaded. Which linear inequality is represented by the graph? y > 2x + 2 y ≥ One-halfx + 1 y > 2x + 1 y ≥ One-halfx + 2

Mathematics
2 answers:
HACTEHA [7]3 years ago
8 0

Answer:

y > 2x + 1  

Step-by-step explanation:

The equation of a straight line is

y = mx + b

Your graph looks like the diagram below.

Calculate the slope of the line:

\begin{array}{rcl}m & = & \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\ & = & \dfrac{1 - (-1) }{0 - (-1)}\\\\& = & \dfrac{2}{1}\\\\& = & \mathbf{2} \\\end{array}

That eliminates Options B and D.

The y intercept is at y = 1.

That eliminates Option A.

The only inequality that fits is  

y > 2x + 1

makkiz [27]3 years ago
8 0

Answer:

If it shows a table, the answer is b yy\leq -2x+3\\

Step-by-step explanation:

I know because im doing the lesson.

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How to factor 2x^2+x-15
nekit [7.7K]

Answer:

(2x - 5) • (x + 3)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   2 • -15 = -30


Step-2 : Find two factors of  -30  whose sum equals the coefficient of the middle term, which is   1 .


     -30    +    1    =    -29

     -15    +    2    =    -13

     -10    +    3    =    -7

     -6    +    5    =    -1

     -5    +    6    =    1    That's it


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -5  and  6

                    2x2 - 5x + 6x - 15


Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (2x-5)

             Add up the last 2 terms, pulling out common factors :

                   3 • (2x-5)

Step-5 : Add up the four terms of step 4 :

                   (x+3)  •  (2x-5)

            Which is the desired factorization


Final result :

 (2x - 5) • (x + 3)

4 0
3 years ago
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Negative and positive numbers are integers, like shown above. Their product is negstive.
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Answer: (1,-2), (1, 3)


Step-by-step explanation:y=2x+1

Y=2(1)+1

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3=2x+1

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2 2


X= 1 new you got your perpendicular line


So answer is (1, -2), (1, 3)


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