Let the number be 'x'.
Three times a number will then give 3x
Therefore the equation will be:
Three times a number will then give 3x
Therefore the equation will be:
The factorization of 8x3 – 125 is (2x – 5)(jx2 + kx + 25). What are the values of j and k
1 answer:
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Answer:
7.
8. l=11cm and w=7 cm
9.
10.
Step-by-step explanation:
Question 7.
The given expression is:
Expand the parenthesis using the distributive property:
Group similar terms:
Simplify
Divide both sides by -10
Question 8:
Let the width of the rectangle be;
The length of the rectangle is
The perimeter is given as:
Given that the perimeter P=36, then:
Divide both sides by 2:
Subtract 4 from both sides:
The dimensions of the rectangle is: w=7 cm and l=7+4=11cm
Question 9
Let the number be x.
"5 fewer than the number" is written as
"5 fewer than a number is at least 12" becomes
Question 10:
Let the number be x.
The quotient of a number and 3 is written as:
The quotient of a number and 3 is no more than 15 is written as;
Answer:
4±√5
EXPLAINED ANSWER:
Since the variable is a binomial and it is squared, we apply square root on both side, and apply the ± sign on the right side (since the solution of a square root can be both positive and negative), and later pass the 4 positive to the other side.
√25 can be (5)(5) or (-5)(-5)
