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7nadin3 [17]
3 years ago
13

What is the value of the expression (3a-b)/(6(b+a)) when a = 4 and b = -2? Show your work to support your answer.

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
6 0

Answer:

1\frac{1}{6} or 1.166 Repeating

Step-by-step explanation:

This is a very simple equation!

First you write it out

\frac{3a-b}{6(b+a)}

Now you plug in your values.

a = 4

b= -2

So.

\frac{3(4) - (-2)}{6(-2+4)}

Now, follow PEMDAS

3 (4) = 12

12 - (-2) is the same as 12+2 Which equals 14

Now you have...

\frac{14}{6(-2+4)}

-2 + 4 = 2

6 (2) = 12

Final Fraction is

\frac{14}{12}

Which can be reduced to

\frac{7}{6}

or

1.166 (repeating)

Hope this helps!

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ALOT OF POINTS IF YOU HELP ME PLEASE EXPLAIN ​
Svetllana [295]

Answer:

Helena gave the answer as (7y²z + 6yz²- 5 - 3yz² + 2) which is equivalent to (7y²z + 3yz² - 3).

Step-by-step explanation:

Misha's group was asked to write an expression equivalent to  

7y²z + 3yz² - 3

When Mr. Chen checked their answers, he found only one to be correct.

And she was Helena.

Helena gave the answer as (7y²z + 6yz²- 5 - 3yz² + 2) which is equivalent to (7y²z + 3yz² - 3).  

Because, (7y²z + 6yz²- 5 - 3yz² + 2)

= 7y²z + (6yz² - 3yz²) - (5 - 2)  

= 7y²z + 3yz² - 3 (Answer)

4 0
3 years ago
There are two functions that can be used to describe the percent of people 25 years and older who have completed at least high s
Korvikt [17]

Answer:

g(15)=93.8\%

see the explanation

Step-by-step explanation:

Let

x ----> the number of years since 2008,

g(x) ----> the percent of people 25 years and older who have completed at least high school

we know that

g(x)=0.008x^2+0.42x+87.5

so

For x=15 years since 2008

substitute

g(15)=0.008(15)^2+0.42(15)+87.5=93.8\%

That means

In the year 2023 (2008+15) the percent of people 25 and older completing at least high school will be 93.8%

5 0
3 years ago
Is my answer correct or no? <br> ---&gt; show explanation &amp; details if i am wrong!!!
neonofarm [45]

Answer:

No, because the distance from the origin to point (7 , -7) is greater than the radius of the circle ⇒ 3rd answer

Step-by-step explanation:

From the graph of the circle

∵ The center of the circle F is at the origin

∴ F is (0 , 0)

∵ The circle passes through point (7 , 0)

- The length of the radius of the circle is the distance between

   the center of the circle and a point on the circle

∴ r is the distance between points (0 , 0) and (7 , 0)

∴ r=\sqrt{(7-0)^{2}+(0-0)^{2}}=\sqrt{49}=7

∴ The length of the radius of the circle is 7 units

Let us find the distance between point (7 , -7) and the origin (0 , 0)

  • If the distance is equal to the radius of the circle, then the point is on the circle
  • If the distance is greater than the radius, then the point is outside the circle
  • If the distance is less than the radius, then the point is inside the circle

∵ The distance =  \sqrt{(7-0)^{2}+(-7-0)^{2}}=\sqrt{49+49}=\sqrt{98}=7\sqrt{2}

∵ r = 7

∵ 7\sqrt{2} > 7

∴ The distance is greater than the radius of the circle

∴ Point (7 , -7) lies outside the circle

The correct answer is:

No, because the distance from the origin to point (7 , -7) is greater than the radius of the circle

<em>Your answer is not correct, the correct answer is the 3rd answer</em>

3 0
3 years ago
Find the x-intercepts for the parabola defined by the equation below. y = x2 + 9x + 14
faltersainse [42]

Answer:

x - intercepts are (-7,0) and (-2,0)

A is the correct option.

Step-by-step explanation:

We have been given the equation of the parabola y=x^2+9x+14

For x- intercept, y = 0

0=x^2+9x+14

We can split the middle term as 9x = 7x +2x

x^2+7x+2x+14=0

Now take GCF

x(x+7)+2(x+7)=0

Factored out the common term

(x+7)(x+2)=0

Apply the zero product property

(x+7)=0,(x+2)=0

Solve for x

x=-7,-2

Hence, x - intercepts are (-7,0) and (-2,0)

A is the correct option.

4 0
3 years ago
What's the answer ?????
Tanzania [10]
The awnser is a I hope I helped you out
4 0
3 years ago
Read 2 more answers
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