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stich3 [128]
2 years ago
6

Is the graph of the linear inequality y > -x - 3?

Mathematics
1 answer:
klasskru [66]2 years ago
5 0

Answer:

Second Graph

Step-by-step explanation:

Given the linear inequality, y > -x - 3, an easier way of determining its graph is through a test point.

A test point is an ordered pair that is not on the actual line of the graph. The point of origin, (0, 0) is often used for this purpose.

Substitute the values of (0, 0) into the linear inequality to find out whether it satisfies the given inequality statement:

y > -x - 3

0 > - (0) - 3

0 > - 0 - 3

0 > -3 (True statement). Therefore, the shaded region must contain the test point since it is one of the solutions to the given linear inequality.

Hence, the correct answer is the second graph.

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I need help with math homework #2 algebra
OverLord2011 [107]

Answer:

A. (0, -2) and (4, 1)

B. Slope (m) = ¾

C. y - 1 = ¾(x - 4)

D. y = ¾x - 2

E. -¾x + y = -2

Step-by-step explanation:

A. Two points on the line from the graph are: (0, -2) and (4, 1)

B. The slope can be calculated using two points, (0, -2) and (4, 1):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-2)}{4 - 0} = \frac{3}{4}

Slope (m) = ¾

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (4, 1), and m = ¾ into the point-slope equation, y - b = m(x - a).

Thus:

y - 1 = ¾(x - 4)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y - 1 = ¾(x - 4)

4(y - 1) = 3(x - 4)

4y - 4 = 3x - 12

4y = 3x - 12 + 4

4y = 3x - 8

y = ¾x - 8/4

y = ¾x - 2

E. Convert the equation in (D) to standard form:

y = ¾x - 2

-¾x + y = -2

8 0
3 years ago
What is the result when the number 64 is decreased by 4.1%? Round your answer to the nearest tenth.
Strike441 [17]

Answer:

61.4

Step-by-step explanation:

64 minus 4.1 percent is 61.376. Rounded to the nearest tenth would be 61.4.

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2 years ago
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gladu [14]

Answer:

What is it?

Step-by-step explanation:

4 0
3 years ago
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Which equation is in standard form?
Sauron [17]
Standard form is

ax + by = c

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3 years ago
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Three added to eight times a number is the same as three times the value of two times the number -1
emmainna [20.7K]

Answer:

The number x is -3

Therefore x=-3

Step-by-step explanation:

Given problem is "Three added to eight times a number is the same as three times the value of two times the number -1"

Let x be the number

It can be written as

3+8\times x=3(2\times x-1)

3+8x=3(2x-1)  ( applying the distributive property )

3+8x=3(2x)+3(-1)

3+8x=6x-3

subtracting (6x-3) on both sides we get

3+8x-(6x-3)=6x-3-(6x-3)

3+8x-6x+3=6x-3-6x+3

6+2x=0 ( ading the like terms )

2x=-6

x=-\frac{6}{2}

Therefore x=-3

The number x is -3

3 0
3 years ago
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