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Readme [11.4K]
3 years ago
8

Which linear inequality is represented by the graph?

Mathematics
1 answer:
Dvinal [7]3 years ago
5 0
The correct answer is C: y > 2/3x + 3

(1,4) ⇒ within the shaded region

4 > 2/3(0) + 3
4 > 0 + 3
4 > 3
True

(0,0) ⇒ within the unshaded region

0 > 2/3(0) + 3
0 > 0 + 3
0 > 3
False

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The given line passes through the points (0, −3) and (2, 3).
Alex

Answer:

The equation would be y + 1 = 3(x + 1)

Step-by-step explanation:

In order to find the equation of this line, we have to use the slope formula to find the slope.

m (slope) = (y2 - y1)/(x2 - x1)

m = (3 - -3)/(2 - 0)

m = (3 + 3)/(2 - 0)

m = 6/2

m = 3

Now that we have that, we can use it along with the second point to put into the point-slope equation.

y - y1 = m(x - x1)

y - -1= 3(x - -1)

y + 1 = 3(x + 1)

6 0
3 years ago
A student factors 3x2 – 12 to the following.
Nesterboy [21]

Answer:  The Expression is Equivalent, However, NOT completely factored.

Step-by-step explanation:

3x^2     -     12  

Following:

3 ( x^2    -    4   )

Factor:

3x^2   -  12

Factor Out Common Term 3:

3 ( x^2    -  4  )  =  3 (x^2  -  4 )

Factor:

x^2  -  4

( x  +   2 )  ( x   -  2 )

Answer:

3 ( x  +  2) ( x  -  2)

Hence, The Expression is Equivalent, However,  Wasn't Completely Factored.

Hope that helps!

8 0
3 years ago
Read 2 more answers
125. Albert surveyed a class of 25 students on sports. 5 kids love baseball. 7 kids love basketball. 10 kids
MAXImum [283]

Answer:

3 students

Step-by-step explanation:

since the<em> </em>total number of students is 25,when you add those that like baseball, basketball and football the total number must be 25 but in this case it's 22 meaning 2 student liked neither.

7+5+10+x=25

x=25-22

=3

I hope this helps

4 0
3 years ago
X² - y² = z²<br>Express y in terms of x and z.<br>​
lord [1]

Answer:

y² = x² - z²

Step-by-step explanation:

x² - y² = z²

Transpose y the other side

x² - z² = y²

or

y² = x² - z²

8 0
3 years ago
Read 2 more answers
How do you solve 4.23-5(0.04+0.09) step by step?
gtnhenbr [62]

Answer:

-0.04

Step-by-step explanation:

4.23-5= -0.77

-0.77*0.04= -0.03

-0.77*0.09= -0.07

-0.07 + -0.03= -0.04

8 0
3 years ago
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