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valentinak56 [21]
4 years ago
11

Choose the system of inequalities that best matches the graph below.

Mathematics
1 answer:
lapo4ka [179]4 years ago
4 0

Answer:

D) y\:, y\:>\:-x

Step-by-step explanation:

The blue boundary line has a y-intercept of 2 and a slope of  2.

It has equation : y=2x+2

Since the boundary line is not solid and the lower half plane of this line is shaded, its inequality is

y\:

The blue boundary line passes through the origin and has slope -1.

Its equation is y=-x.

Since the boundary line is not solid and the right half-plane is shaded, its inequality is y\:>\:-x

The correct choice is D.

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I need help?????????
Digiron [165]

Answer:

3

Step-by-step explanation:

5 0
3 years ago
A raised garden is a rectangular prism with a width of 60 in. And a length that is three times the height "h". The volume of the
kati45 [8]

Answer:

24 in

Step-by-step explanation:

From the question,

The formula for finding the volume of a rectangular prism is

V = l×w×h...................... Equation 1

Where l = length, w = width, h = height.

From the question, we were told that the length of the prism is three times the height.

i.e,

l = 3h....................... Equation 2

Substitute equation 2 into equation 1

V = 3h×w×h

V = 3h²w............... Equation 3

Given: V = 103680 in³, w = 60 in

Substitute these values into equation 3 and solve for h

103680 = 3(h²)(60)

103680 = 180h²

h² = 103680/180

h² = 576

h = \sqrt{576}

h = 24 in.

Hence the height of the raised garden is 24 in

6 0
3 years ago
What is 572 rounded to the nearest 10 and 100
Liula [17]
572 rounded to the nearest 10 is 570 and 572 rounded to nearest 100 is 600.
5 0
3 years ago
Use the Well-Ordering Principle to prove that given a > 0, a^n > 0 for every positive integer n
pishuonlain [190]

Answer:

Following are the answer to this question:

Step-by-step explanation:

Given value:

\to x > 0

\to S= { n\varepsilon N : x^n \leq 0  } \\\\  s \neq \phi \\\\ \to x^n \leq 0\\

\to x^{n-1} x\leq 0\\\\ \to x>0  = x^{n-1} \leq 0 \\\\\to n-1 \varepsilon  s  \\  \ \ _{where} \ \  n-1 < n \\\\\to s= \phi  \\\\\to \hence  x^n > 0 \\

8 0
4 years ago
If p= -6, what is the value of -9 - 2(p + 11)2<br> - 7?
Neporo4naja [7]

Answer:

-36

Step-by-step explanation:

-9 - 2(p + 11)2- 7

-9 - 2(-6 + 11)2- 7

-9 -2 * 5*2 -7

-9 -10*2-7

-9 -20 -7

-36

PEMDAS

6 0
3 years ago
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