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iren2701 [21]
2 years ago
9

Solve for x: 6x + 1/4 (4x + 3) > 12 Ox> 10 7 Ox> 2 ox= 10 X = 2

Mathematics
1 answer:
daser333 [38]2 years ago
7 0

Given:

The inequality is:

6x+\dfrac{1}{4}(4x+3)>12

To find:

The values for x.

Solution:

We have,

6x+\dfrac{1}{4}(4x+3)>12

Using distributive property, we get

6x+\dfrac{1}{4}(4x)+\dfrac{1}{4}(3)>12

6x+x+\dfrac{3}{4}>12

7x>12-\dfrac{3}{4}

7x>\dfrac{48-3}{4}

On further simplification, we get

7x>\dfrac{45}{4}

Divide both sides by 7.

x>\dfrac{45}{7\times 4}

x>\dfrac{45}{28}

Therefore, the required solution is x>\dfrac{45}{28}.

Note: All options are incorrect.

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Please help thank you!
kirill [66]
Question 1:

Look at the image. 

First, we graph the points on a grid.

Then, we find the perpendicular bisectors and find where they intersect.

They intersect on the circumcenter of the triangle.

The circumcenter is (5,3)

Question 2:

The answer is III only because the perpendicular bisector for the longest side will always have to point outside the triangle in order to intersect with the other two perpendicular bisectors.

Question 3:

The answer is a perpendicular bisector because it is a perpendicular line that bisects a side of the triangles, which is the exact definition of a perpendicular bisector.

Have an awesome day! :)

3 0
3 years ago
Need help quickly (:
FromTheMoon [43]
30-(increase/0.5)*2=sold
i*s=revenue
i*30-(i^2/0.5)*2=r
I=7.5=>r=0
i=7=>r=14
7/0.5=15 number of increases in the cost
7 0
3 years ago
Read 2 more answers
Please help I really need it
Musya8 [376]

Answer:

X = -2, Y = 13

X = 0, Y = 9

X = 2, Y = 5

X = 4, Y = 1

Step-by-step explanation:

Take the value given for X and plug it into the equation. For example, when X = -4, you will make your equation look as follows:

y = -2(-4) + 9

Simplify it:

y = 8 + 9

y = 17

Repeat this process with the rest of the X values to get your Y values.

6 0
3 years ago
What is the balance after one year on an investment of $20,000 earning 5.2% interest compounded annually?​ what is the answer​
Stells [14]

Answer:

1040

Step-by-step explanation:

20,000 is how much you have and you would multiply 20,000*5.2% or 20,000*.052 (converting a percent to a decimal.)

8 0
3 years ago
Segment AB has endpoints on the coordinate grid where A is (- 18, 5) and B is (- 4, 5) Point Z is located exactly 1/8 of the dis
fenix001 [56]

Given:

Endpoints of segment AB are A(- 18, 5) and B(- 4, 5).

Point Z is located exactly 1/8 of the distance from A to B.

To find:

The value of the x-coordinate of point Z.

Solution:

Point Z is located exactly 1/8 of the distance from A to B.

AZ:AB=1:8

AZ:ZB = AZ:(AB-AZ)= 1:(8-1) = 1:7

It means point Z divided segment AB in 1:7.

Using section formula, the x coordinate of point Z is

x-coordinate=\dfrac{mx_2+nx_1}{m+n}

x-coordinate=\dfrac{1(-4)+7(-18)}{1+7}

x-coordinate=\dfrac{-4-126}{8}

x-coordinate=\dfrac{-130}{8}

x-coordinate=-16.25

Therefore, the required x-coordinate of point Z is -16.25.

3 0
3 years ago
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