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Gala2k [10]
3 years ago
14

Solve for x: |3x-1|=4

Mathematics
1 answer:
Rashid [163]3 years ago
5 0

Answer:

x = 5/3  x= -1

Step-by-step explanation:

|3x-1|=4

There are two solutions to the absolute value equation, one positive and one negative

3x-1 =4  and 3x-1=-4

Add 1 to each side

3x-1+1 = 4+1   3x-1+1 = -4+1

3x=5             3x = -3

Divide by 3

3x/3 = 5/3     3x/3 = -3/3

x = 5/3  x= -1

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Which angles are corresponding angles?
BartSMP [9]
For now, let's assume we can rule out choice A. 

Angles 3 and 7 are vertical angles. So we can rule out choice B

Angle 3 and angle 11 are corresponding angles. They are on the topside of their adjacent parallel horizontal line. They are also on the left side of the transversal cut line d. The answer is choice C. 

Angles 3 and 8 are not corresponding angles. Corresponding angles are not adjacent to one another. In other words, they do not share a common vertex.
5 0
3 years ago
Given the function f(x)=x^2-8x+13f(x)=x, determine the average rate of change of the function over the interval −1≤x≤6.
Ann [662]

Given:

Consider the given function is:

f(x)=x^2-8x+13

To find:

The average rate of change of the function over the interval -1\leq x\leq 6.

Solution:

The average rate of change of the function f(x) over the interval [a,b] is:

m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}

We have,

f(x)=x^2-8x+13

At x=-1,

f(-1)=(-1)^2-8(-1)+13

f(-1)=1+8+13

f(-1)=22

At x=6,

f(6)=(6)^2-8(6)+13

f(6)=36-48+13

f(6)=1

Now, the average rate of change of the function f(x) over the interval -1\leq x\leq 6 is:

m=\dfrac{f(6)-f(-1)}{6-(-1)}

m=\dfrac{1-22}{7}

m=\dfrac{-21}{7}

m=-3

Therefore, the average rate of change of the function f(x) over the interval -1\leq x\leq 6 is -3.

6 0
3 years ago
Height of men on a baseball team have a bell-shaped distribution with a mean of 180 cm and a standard deviation of 8 cm. using t
Lapatulllka [165]

Answer:

a. 99.7%

b. 68%

Step-by-step explanation:

The empirical rule for approximately symmetrical and bell-shaped distributions states that:

68% of the data are among the values  (means - sd) and (means + sd)

95% of the data are among the values  (means - 2*sd) and (means + 2*sd)

99.7% of the data are among the values (means - 3*sd) and (means + 3*sd). So that,

68% of the data are among the values  (180 - 8) = 172 and (180 + 8) = 188

95% of the data are among the values  (180 - 16) = 164 and (180 + 16) = 196

99.7% of the data are among the values (180 - 24) = 156 and (180 + 24) = 204

3 0
3 years ago
Simplify 6(x + 2) + 7.<br><br> 6x + 9<br> 6x + 15<br> 6x + 19
miss Akunina [59]
3rd one.

6(x + 2) is simply 6x + 12

Do 12 + 7

You will get 19.

Now put that together.

6x + 19, which is option 3

Hope this helped! :D
7 0
3 years ago
Read 2 more answers
I need help with this
ch4aika [34]
The correct answer is 15
4 0
3 years ago
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