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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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If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?. . 5(4 + 4) – 6. 5(5(4) – 6) – 6. 54 – 6 + 54 – 6. 5(4) – 6 + 5(
Dmitrij [34]
K(x) = 5x-6
(k+k)(x) = k(x) + k(x) = 5x-6 +5x-6
just plug in x = 4,
(k+k)(4) = 5(4) -6 + 5(4) -6
thats your answer, the last option.
6 0
3 years ago
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Does the relation {(-2,2), (-7,1), (-3,9), (-8,4), (-9,5), (-6,8)) represent
Gelneren [198K]

Answer:

Yes

Step-by-step explanation:

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7 0
2 years ago
Given that f(x) = 2x2 − 96, find x.
NISA [10]
F(x)=2x(2)−96

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Step 2: Factor out variable x.

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Step 3: Divide both sides by f-4.

x(f−4)/ f−4 = −96/ f−4

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3 0
3 years ago
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The students at a High School earned money for an international animal rescue foundation. 82 seniors earned an average $26.75 pe
Anon25 [30]

Answer: A. $16.13

Step-by-step explanation:

Total students = 82+74+96+99 =351

Sum of earnings of 82 seniors  = $26.75  x 82= $2193.5

Sum of earnings of 74 juniors  = $12.25 x 74 = $906.5

Sum of earnings of 96 sophomores  = $15.50  x 96 = $1488

Sum of earnings of 99 freshmen  =  $10.85 x 99 = $1074.15

Total earnings =  $2193.5  + $906.5+  $1488 +$1074.15

= $5662.15

(Total earnings) ÷ (Total students )

= $5662.15÷ 351

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4 0
3 years ago
What is the value of x
Goshia [24]
Sum of all adjacent angles is 180°.

3x + 12 + x = 180
4x + 12 = 180
4x = 168
x = 42°

-----------------------------------------
Answer: x = 42°
-----------------------------------------
3 0
3 years ago
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