SIMPLIFY and SHOW WORK THANKS 3∙[ 9 – 2∙ (7 – 8)]
1 answer:
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Answer:
The value of m is 1000 for r=5
Step-by-step explanation:
Given that m is proportional to the cube of r
It can be written as:
When the proportionality symbol is removed a proportionality constant is introduced in the equation.
Let k be the proportionality constant
Given
r=3,m=216
Putting the values
The equation will now become
Putting r = 5
Hence,
The value of m is 1000 for r=5
QUESTION A
The given inequality is
Add 1 to both sides of the inequality to obtain;
Answer: 2. , open dot at 6 and shaded to the right.(A)
QUESTION B.
The given inequality is .
Divide both sides by 2;
.
.
Answer: 5. , closed dot at 3 and shaded to the left(B).
QUESTION C
The given inequality is
Add 7 to both sides to get;
Answer: 7. , open dot at 3 and shaded to the right.(C)
QUESTION D
We want to solve;
Divide through by -2 and reverse the inequality sign;
Answer; 3. Open dot at -3 and shaded to the right. (D)
QUESTION E
We have
Divide through by -4 and reverse the sign.
or
Answer: 6. open dot at -1, and shaded to the left(E)
QUESTION F
The given inequality is
Add -3 to both sides to get;
Divide both sides of the inequality by -2 and reverse the sign;
Answer:9. , open dot at 5 and shaded to the right(F)
QUESTION G
The given inequality is
Divide by 5
Answer ; 10. , closed dot at 2 and shaded to the right(G)
QUESTION H
We have
Expand the bracket to get;
Group similar terms to get;
Simplify
Divide through by -5 and reverse the sign;
Answer: 1. Open dot at 18/5 and shaded to the left(H)
QUESTION I
We have .
Divide by -2 and reverse the sign;
Answer: 8. , open dot at 1 and shaded to the right(I)
J. The given inequality
Expand the bracket to get;
Group like terms to get;
Divide by -1 and reverse the sign to get;
Answer; 4. , open dot at 5 and shaded to the left.(J)