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3 years ago

Solve and graph the following inequality: 6 > 3/2x or -2x < -10

Mathematics

1 answer:

serg [7]3 years ago

7 0

Answer:

x<4 or x>5

Step-by-step explanation:

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Change the subject of this equation to L P=2(L+B)

dusya [7]

 P = 2 (L + B)

Divide each side by 2 : P/2 = L + B

Subtract B from each side: P/2 - B = L

3 0

3 years ago

A data set consists of the values 2, 6, 3, and 1. If we consider this a population (all the values available), the variance isA.

Hoochie [10]

Answer: E. none of the above

Step-by-step explanation:

The given data values that represents the population:

2, 6, 3, and 1.

Number of values : n=4

Mean of the data values = $\dfrac{\text{Sum of values}}{\text{No. of values}}$

$\dfrac{2+6+3+1}{4}=\dfrac{12}{4}=3$

Sum of the squares of the difference between each values and the mean =

$(2-3)^2+(6-3)^2+(3-3)^2+(1-3)^2$

$=-1^2+3^2+0^2+(-2)^2$

$=1+9+0+4=14$

Now , Variance = (Sum of the squares of the difference between each values and the mean ) ÷ (n)

= (14) ÷ (4)= 3.5

Hence, the variance is 3.5.

Therefore , the correct answer is "E. none of the above".

8 0

3 years ago

Write as an exponent with the base of b: <img src="https://tex.z-dn.net/?f=%28b%5E%7B4%7D%20%29%5E%7Bm%7D" id="TexFormula1"

natali 33 [55]

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${b}^{4 \times m} = {b}^{4m}$

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4 0

3 years ago

Using Slopes of Parallel Lines Quick Check

Semenov [28]

Answer:

The answer is (B) ⇒ Yes. AB is parallel to CD and AD is parallel to BC

Step-by-step explanation:

There is an important fact about the parallel lines:

Parallel lines have equal slopes

The rule of the slope of a line is:

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$ , where $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line

Let us use the fact and the rule to solve the question

∵ ABCD is a quadrilateral

∵ A = (0, 2) , B = (2, 6), C = (9, 6), D = (7, 2)

∵ The opposite sides are AB, CD and AD, BC

Find the slopes of the four sides to check the parallel sides

∵ $m_{AB}=\frac{6-2}{2-0}=\frac{4}{2}=2$

∵ $m_{CD}=\frac{2-6}{7-9}=\frac{-4}{-2}=2$

∵ The slope of AB = The slope of CD

∴ AB // CD

∵ $m_{AD}=\frac{2-2}{7-0}=\frac{0}{7}=0$

∵ $m_{BC}=\frac{6-6}{9-2}=\frac{0}{7}=0$

∵ The slope of AB = The slope of CD

∴ AD // BC

The correct answer is:

Yes. AB is parallel to CD and AD is parallel to BC ⇒ (B)

5 0

3 years ago

Make sure your answer is in degrees. You should be able to find this without a calculator.

natali 33 [55]

Answer:

Step-by-step explanation:

As 360°= 2 π Radian

1 Radian =

1. Sin(-1)= Sin ( )

= Sin (-57°16'22")=-0.84147

= (229°54'32")

=75.963757 Degrees

= (5°43'38")

= 84.26083 Degrees

8 0

3 years ago