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kupik [55]
3 years ago
6

What is the value of b that satisfies the equation below 3(b+4)-2(2b+3)=-4

Mathematics
2 answers:
zloy xaker [14]3 years ago
3 0

3(b+4)-2(2b+3)=-4 \\3b+12-4b-6=-4 \\-b=-10 \\b=10

The answer is C.

Hope this helps.

babunello [35]3 years ago
3 0
Answer: C) 10

Step 1: Rewrite equation

3(b+4)-2(2B+3)=-4

Step 2: Distribute

3(b+4)-2(2B+3)=-4

3b+12-4b-6=-4

Step 3: Combine like terms

3b+12-4b-6=-4

-b+6=-4

Step 4: Get -b alone on the left side

To do this we need to subtract 6 on both sides

-b+6=-4
-6 -6
______
-b=-10

Step 5: Making b positive

Since b cannot be a negative value we need to multiply both -b and -10 by -1 to make it positive

-b=-10

-1(-b)=-1(-10)

b=10

This is the final answer!

Hope this helps comment below for more questions :)
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Professor wonders whether a student's homework average (X) could be used to predict their final grade in the course (Y) . She ca
Anna11 [10]

Answer:

The dependent variable is the final grade in the course and is the vriable of interest on this case.

H0: \beta_1 = 0

H1: \beta_1 \neq 0

And if we reject the null hypothesis we can conclude that we have a significant relationship between the two variables analyzed.

Step-by-step explanation:

On this case w ehave the following linear model:

Y= 21.839 +0.724 X

Where Y represent the final grade in the course and X the student's homework average. For this linear model the slope is given by \beta_1 = 0.724 and the intercept is \beta_0 = 21.839

Which is the dependent variable, and why?

The dependent variable is the final grade in the course and is the vriable of interest on this case.

Based on the material taught in this course, which of the following is the most appropriate alternative hypothesis to use for resolving this question?

Since we conduct a regression the hypothesis of interest are:

H0: \beta_1 = 0

H1: \beta_1 \neq 0

And if we reject the null hypothesis we can conclude that we have a significant relationship between the two variables analyzed.

3 0
3 years ago
A bus can carry 50 people per run. At least how many times does the bus have to run in order to transfer 25, 000 people?
galina1969 [7]
50 × 500 = 25,000

The answer is 500 runs.
7 0
3 years ago
Equation 2(4x − 11) = 10.
dedylja [7]
Since you didn't provide instructions, I am going to assune you are being asked to solve for x. To do this, just distribute and simplify.

2(4x-11)=10
Distribute the 2 to the expression (4x-11)
8x-22=10
Add 22 on both sides
8x=32
Divide by 8 on both sides
x=4

~I hope this helps!~
4 0
3 years ago
Which equation can be used to find the length of Line segment A C? Triangle A B C is shown. Angle A C B is 90 degrees and angle
taurus [48]

<u><em>Answer:</em></u>

AC = 10sin(40°)

<u><em>Explanation:</em></u>

The diagram representing the question is shown in the attached image

Since the given triangle is a right-angled triangle, we can apply the special trig functions

<u>These functions are as follows:</u>

sin(θ) = opposite / hypotenuse

cos(θ) = adjacent / hypotenuse

tan(θ) = opposite / adjacent

<u>Now, in the given diagram:</u>

θ = 40°

AC is the side opposite to θ

AB = 10 in is the hypotenuse

<u>Based on these givens</u>, we will use the sin(θ) function

<u>Therefore:</u>

sin(40) = \frac{AC}{10}\\ \\AC = 10sin(40)

5 0
3 years ago
Read 2 more answers
What is the solution of the equation n/10 = 7?<br><br>n= ____​
ozzi

Answer:

n = 70

Step-by-step explanation:

n/10 = 7

Multiply each side by 10

n/10 *10 = 7*10

n = 70

3 0
3 years ago
Read 2 more answers
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