Answer:
=10x2−8
Step-by-step explanation:
4(x2−5)+2(3x2+6)
Distribute:
=(4)(x2)+(4)(−5)+(2)(3x2)+(2)(6)
=4x2+−20+6x2+12
Combine Like Terms:
=4x2+−20+6x2+12
=(4x2+6x2)+(−20+12)
=10x2+−8
Answer:
Jaime = 11
Sammy = 44
Step-by-step explanation:
It is given that Sammy is eleven less than five times Jaime's age. Use parameter (S) to represent Sammy's age, and parameter (J) to represent Jaime's age. Form an equation based on this given information:
S = 5J - 11
It is given that the sum of the two girl's ages is (55), use an equation to represent this.
S + J = 55
Substitute in the expression for the value of (S) in terms of (J),
(5J - 11) + J = 55
Simplify,
6J - 11 = 55
Inverse operations,
6J - 11 = 55
6J = 66
J = 11
Backsolve for the value of (S), substitute in the value of (J) into the equation for (S) and solve,
S = 5(J) - 11
S = 5(11) -11
S = 55 - 11
S = 44
The answer in the green box should be 9.
Answer:
x > - 4
Step-by-step explanation:
Given
6x - 5 > - 29 ( add 5 to both sides )
6x > - 24 ( divide both sides by 6 )
x > - 4
Answer:
Remains the same
Step-by-step explanation:
Given

Required
What happens when the X and Y are tripled;

When both X and Y are tripled, the new fraction is represented below:

When the numerator and denominator are divided by their common factor (3), the new fraction becomes


Compare the new fraction with the initial fraction; one would notice that they have the same value;
Hence, the fraction remains the same