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gladu
3 months ago
6

Which graph shows the solution to the system of linear inequalities? x – 4y < 4 y < x + 1 Image for option 1 Image for opt

ion 2 Image for option 3 Image for option 4

Mathematics
1 answer:
Inessa [12.5K]3 months ago
7 0

Answer:

The graph provided in the accompanying figure

Step-by-step explanation:

we have

x-4y ----> inequality A

solving for y

-4y

4y>x-4

y> (x/4)-1

The shaded area above the dashed line denotes the solution for inequality A

The slope of the dashed line is positive

The y-intercept corresponds to the point (0,-1)

The x-intercept corresponds to the point (4,0)

y< x+1 ----> inequality B

The solution for inequality B is represented by the shaded area below the dashed line

The slope of the dashed line is positive

The y-intercept corresponds to the point (0,1)

The x-intercept corresponds to the point (-1,0)

Using a graphing tool

This illustrates the solution for the system of inequalities in the provided figure

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Which two points lie on a line with an undefined slope?
PIT_PIT [12445]
The formula for slope is
m = (y2 - y1)/(x2 - x1)

A. m = (5 - 0)/(-2 + 2)
m = (5)/(0)
m = error

B. m = (-2 - 0)/(0 + 2)
m = (-2)/(2)
m = -1

C. m = (2 - 0)/(2 - 0)
m = (2)/(2)
m = 1

D. m = (0 - 0)/(2 - 3)
m = (0)/(-1)
m = 0

the slope that is deemed undefined is the one resulting in an error, which is A
6 0
2 months ago
Read 2 more answers
Read the proof. Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° Prove: △HKJ ~ △LNP Statement Reason 1. m∠H = 30°, m∠J = 50°,
zzz [12365]

Answer:

2. m\angle H+m\angle J +m\angle K =180^{\circ}

Reason: the total sum of all angles inside any triangle equals 180º.

Step-by-step explanation:

1) Organization

Statement 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. Reason: given

2) Given that the sum of all internal angles in any triangle is always 180º, similar to the formula. N represents the number of sides of a triangle:

S_{i}=180^{\circ}(n-2)\rightarrow 180(3-2) \therefore S_{i}=180^{\circ}

3) We can also state

m\angle K=180^{\circ}-(m\angle H+m\angle J)\\m\angle K=180^{\circ}-\left ( 30^{\circ}+50^{\circ} \right )\\m\angle K=100^{\circ}

Like in the other triangle:

m\angle L=180^{\circ}-(m\angle N+m\angle P)\\m\angle L=180^{\circ}-\left ( 100^{\circ}+50^{\circ} \right )\\m\angle L=30^{\circ}

4) Therefore,

2. m\angle H+m\angle J +m\angle K =180

Reason: The total of the internal angles is equal to 180º.

8 0
3 months ago
Melinda works at a cafe. Each day that she works, she records x, the total dollar amount of her customers’ bills and then y, her
Zina [12379]

Answer:

The answer is $26

Step-by-step explanation:

In the attached image, the table, plot, and line of best fit are displayed. The equation present is:

y = 0.177x + 25.936

Here, x indicates the total dollar amount of customer bills while y represents her total daily wages.

This implies that even in the absence of customers (x = 0), she would earn $26 ($25.936 rounded off to the nearest whole dollar) daily.

5 0
2 months ago
Explain why this matrix equation has no solution: A + 11 17 −8 13 = 0 0 0 0
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If you mean

A+\left[\begin{array}{cccc}11&17&-8&13\end{array}\right]=\left[\begin{array}{cccc}0&0&0&0\end{array}\right]

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A=\left[\begin{array}{cccc}-11&-17&8&-13\end{array}\right]

Adding anything to its opposite results in zero.

8 0
2 months ago
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