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3 years ago

Which graph represents the solution set of the system of inequalities? {y≤2x+1y>−2x−3

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

3 0

we have

------> inequality A

The solution of the inequality A is the shaded area below the solid red line

see the attached figure N

------> inequality B

The solution of the inequality B is the shaded area above the dotted blue line

see the attached figure N

therefore

The solution of the system of inequalities is the shaded area between the solid red line and the dotted blue line

see the attached figure N

therefore

the answer in the attached figure N

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Kendall is solving this inequality. x/2 + 6 > 42 What should she do first to solve?

Aleonysh [2.5K]

Answer:

see below

Step-by-step explanation:

First, she should subtract 6 from both sides of the inequality. This makes it so that the x terms are on one side and the non-x terms are on the other side so she can then solve for x by multiplying the entire inequality by 2.

3 0

3 years ago

Which number should follow in this series: 64/64 9/12 6/12

zheka24 [161]

Answer: $\frac{1}{4}$

Step-by-step explanation:

You can reduce the fractions, then:

$\frac{64}{64}=1$

$\frac{9}{12}=\frac{3}{4}$

$\frac{6}{12}=\frac{3}{6}=\frac{1}{2}$

Rewrite them as following:

$1,\frac{3}{4},\frac{1}{2}$

If you subtract the first number and the second number, you obtain:

$1-\frac{3}{4}=\frac{1}{4}$

If you subtract the second number and the second number, you obtain:

$\frac{3}{4}-\frac{1}{2}=\frac{1}{4}$

Therefore, you must subtract $\frac{1}{2}$ and $\frac{1}{4}$ to obtain the number asked. Then, this is:

$\frac{1}{2}-\frac{1}{4}=\frac{1}{4}$

6 0

3 years ago

Read 2 more answers

The sum of two consecutive integers is 31. find the larger number

Verdich [7]

Consider the intergers as, x and x+1

x+(x+1)=31

2x+1=31

2x=30

x=15

So, (x+1)=(15+1)=16 would be larger number.

5 0

3 years ago

calculate the total potential energy in kj of an object whose mass is 20 kg when it is located 20 m below a datum level in a loc

Airida [17]

Answer:

The energy in object is 3.8 Kilo Joules.

Step-by-step explanation:

We are given the following in the question:

Mass = 20 kg

Height,h = 20 m

g=9.5 m/s^2

Formula:

Potential energy =

$E = Mgh$

Putting value we get,

$E = 20(20)(9.5)\\E = 3800~J\\E = 3.8~KJ$

Thus, the energy in object is 3.8 Kilo Joules.

5 0

3 years ago

A helicopter hovers 1450 feet above a small island. The figure shows that the angle of depression from the helicopter to point P

puteri [66]

Answer:

1668 feet.

Step-by-step explanation:

We know the opposite side of the right triangle and we need the adjacent side, so we use the tangent function.

If the distance required is x (adj side) we have:

tan 41 = opp/adj

tan 41 = 1450/x

x = 1450 / tan 41

= 1668.03

5 0

2 years ago