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Eva8 [605]
3 years ago
12

3. Solve the inequality –2(z + 5) + 20 > 6.

Mathematics
1 answer:
12345 [234]3 years ago
4 0

\boxed{-2\left(z+5\right)+20>6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:z

<em><u>Solution:</u></em>

<em><u>Given inequality is:</u></em>

-2(z+5)+20>6

We have to solve the given inequality

-2\left(z+5\right)+20>6\\\\\mathrm{Subtract\:}20\mathrm{\:from\:both\:sides}\\\\-2\left(z+5\right)+20-20>6-20\\\\\mathrm{Simplify}\\\\-2\left(z+5\right)>-14

Multiply\ both\ sides\ by\ -1\ \left(reverse\:the\:inequality\right)

Whenever we multiply or divide an inequality by a negative number, we must flip the inequality sign

\left(-2\left(z+5\right)\right)\left(-1\right)

<em><u>Thus the solution to inequality is:</u></em>

-2\left(z+5\right)+20>6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:z

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A+5b-c=-20<br> 4a-5b+4c=19<br> -a-5b-5c=2 <br> Solve for a b and c
ludmilkaskok [199]

Answer:a = - 2

b = - 3

c = 3

Step-by-step explanation:

a + 5b - c = - 20 - - - - - - - - - 1

4a - 5b + 4c = 19 - - - - - - - - - 2

-a - 5b - 5c = 2 - - - - - - - - - - - 3

Adding equation 1 and equation 2, it becomes

- 6c = - 18

c = - 18/ - 6 = 3

Multiplying equation 2 by 1 and equation 3 by 4, it becomes

4a - 5b + 4c = 19

-4a - 20b - 20c = 8

Adding both equations, it becomes

- 25b - 16c = 27

- 25b = 27 + 16c = 27 + 16 × 3

- 25b = 75

b = 75/- 25 = - 3

Substituting b = - 3 and c = 3 into equation 1, it becomes

a + 5 × - 3 - 3 = - 20

a - 15 - 3 = - 20

a - 18 = - 20

a = - 20 + 18 = - 2

5 0
3 years ago
Select the correct answer. A model rocket was launched from the top of a building. The rocket's approximate height can be modele
garri49 [273]

Answer:

13 seconds.

Step-by-step explanation:

Given

h = -4.9(t - 13)(t + 2).

Required

Determine a reasonable solution for t

To do this, we equate h to 0.

h = -4.9(t - 13)(t + 2). becomes

0 = -4.9(t - 13)(t + 2).

Divide through by -4.9

0 = (t - 13)(t + 2).

Reorder the expression

(t - 13)(t + 2) = 0.

Split

t-13 = 0 or t + 2 = 0

This gives:

t = 13 or t = -2

But time can't be negative, So:

t = 13

6 0
2 years ago
What is the value of the expression 2^2 + 4^2 ÷ 2^2? 3 6 8 16
slamgirl [31]
The answer is 8 because you use the order of operations. So it would be 16 divided by 4, then you would do 4+4 which is 8
4 0
3 years ago
A circle has a circumference of 28.26 units. What is the diameter of the circle?
Karolina [17]

Answer:

The diameter of the circle is 9.

Step-by-step explanation:

Because circumference is equal to \pi * d, we can backtrack and use this equation to find diameter. Let's say \pi is equal to 3.14.

28.26 = 3.14d

Divide both sides by 3.14.

9 = d


The diameter of the circle is 9.


6 0
3 years ago
Which repeating decimal is equal in value to the fraction below? 8/9
amm1812
Can be achieved by dividing.
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8 ÷ 9 = 0.8888

Therefore the answer is B
3 0
3 years ago
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