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kobusy [5.1K]
2 years ago
14

7b^2 - 14b - 56 = 0 Solve by completing the square

Mathematics
1 answer:
Yakvenalex [24]2 years ago
5 0

Answer: <em>7(b-1)^2-63</em>

Step-by-step explanation:

Factor out 7

<em>7(b^2-2b-8)</em>

Add and subtract (-1)^2:

<em>7(b^2-2b-8+(-1)^2-(-1\)^2)</em>

Complete the square:

<em>7((b-1)^2-8-(-1)^2)</em>

<em />

Simplify:

<em>7(b-1)^2-63</em>

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(2x + 7y = -24<br>18x+y=12 solve by substitution​
const2013 [10]

Answer:

x = .87, or when approximated to a fraction, 27/31

y = -3.67, or when approximated to a fraction, -1287/350

Step-by-step explanation:

Lets start by rewriting out our equations

2x + 7y = -24

18x + y = 12

Lets solve for a y value; the second equation is easiest, as the y value has no coefficient (the number that is multiplied times a variable). To do this, lets move the 18x to the other side. Now our two equations look like:

2x + 7y = -24

y = -18x + 12

Next, lets plus the second equation into the first equation in regards to y.

2x + 7(-18x + 12) = -24

Now, lets solve!

2x -126x + 84 = -24

Then, combine your terms!

-124x = -108

Divide by (-124)!

x = -108/-124

x = 27/31

Now that we know x, lets plug this back in to the first equation to find y!

2(27/31) + 7y = -24

1.74 + 7y = -24

7y = -25.74

y = -3.67, or when approximated to a fraction, -1287/350

4 0
3 years ago
3|2z-4|-6&gt;12<br> Solve for z
mina [271]

Answer:

312z-41-6>12

subtract -41-6

312z-47>12

add it on both sides

312z-47>12

      +47   +47

312z>59

divide 312 to both sides

z<0.189

3 0
2 years ago
This question pls I don’t understand
adell [148]

Answer:

19.4

Step-by-step explanation:

50% is one half

so 9.7 is half of ....

Then .... is twice 9.7

.... = 2 × 9.7 = 19.4

5 0
2 years ago
Find the volume of this cone.
Andrews [41]

Answer:

V = 180 ft^3

Step-by-step explanation:

The volume of a cone is found by

V = 1/3 pi r^2 h  where r is the radius and h is the height

The diameter is 12 so the radius is 1/2 the diameter or 1/2(12) = 6

The height is 5 and we are using 3 for pi

V = 1/3 (3) *6^2 *5

V = 180 ft^3

4 0
2 years ago
If a project will take 35 employees 2,940 hours to complete, how many hours will each employee have to work?
Delvig [45]
2940/35 equals 84 so each employee will have to work 84 hours. 
7 0
2 years ago
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