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likoan [24]
3 years ago
15

Which number is rational?Which number(s) below belong to the solution set of the inequality? Check all that apply. x + 6 < 38

A. 31 B. 26 C. 88 D. 44 E. 32 F. 70
Mathematics
1 answer:
mario62 [17]3 years ago
6 0

Answer:

A. 31 and B. 26

Step-by-step explanation:

In order for x+6<38 to be true, we need to find the maximum number x can be. So we move 6 to other side which gives us x<32

Of the options A. 31 and B. 26 are the only ones that are less that 32. E. 32 does not count because x must be less than 32, not equal to it.

Hope this helped!

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HELP ME OUT PLEASE!!!
11111nata11111 [884]

Answer:

C: (1,3)

Step-by-step explanation:

If we count 1 to the right on the x-axis and count 3 up on the y-axis, we will end up at the point of intersection which is (1,3).

4 0
2 years ago
Solving systems of linear inequalities
PIT_PIT [208]

Answer:

YES. (2, 7) is a solution of the system.

Step-by-step explanation:

System of linear inequalities has been given as,

y ≥ -x + 1 --------(1)

y < 4x + 2 ------(2)

If (2, 7) is a solution of the given system of inequalities, it will satisfy both the inequalities.

By substituting the coordinates of point (2, 7) in inequality (1),

7 ≥ -2 + 1

7 ≥ -1

True.

By substituting the coordinates of point (2, 7) in inequality (2),

7 < 4(2) + 1

7 < 9

True.

Therefore, point (2, 7) lie in the solution area of system of inequalities.

YES. (2, 7) is a solution of the system.

4 0
3 years ago
Find the value of k.<br> Then angle measures of 45 and 2k <br> Sum of angle measures 180
My name is Ann [436]

Answer:

67.5°

Step-by-step explanation:

180 -45 = 135

135 / 2

k= 67.5

4 0
3 years ago
Please, I beg you.
frozen [14]

We know that the true value for pi is given as 3.14156.

Now, we have been given that the approximate value for pi is 3.141

We know the formula

Absolute error,  \Delta x = | \text{True value } - \text{ Approximate value} | \\&#10;\\&#10;\Delta x =|3.14156-3.141|\\&#10;\\&#10;\Delta x =0.00056

Relative error is given by

\text{Relative error }= \frac{\Delta x}{\text{true value} }\\&#10;\\&#10;\text{Relative error }=\frac{0.00056}{3.14156} \\&#10;\\&#10;[tex]\text{Relative error }=0.000178

The percentage error is given by

\text{Relative error } \times 100\\  &#10;\\  &#10;0.000178\times 100  &#10;\\  &#10;=0.0178 \%

7 0
3 years ago
Please please do a step by step of how to solve the equation and the answer! please and thank you!
Yuliya22 [10]

Answer:

Value of x using quadratic formula (x = -4) and (x = -5)

Step-by-step explanation:

Given:

Equation

x² + 9x + 20 = 0

Find:

Value of x using quadratic formula

Computation:

Quadratic formula = [-b±√b²-4ac] / 2a

Given equation;

x² + 9x + 20 = 0

a = 1 , b = 9 , c = 20

By putting value

[-9±√9²-4(1)(20)] / 2(1)

[-9±√81-80] / 2

[-9±√1] / 2

(-9 + 1) / 2 , (-9 - 1) / 2

-8 / 2 , 10 / 2

-4 , - 5

Value of x using quadratic formula (x = -4) and (x = -5)

6 0
3 years ago
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