Which expression is equivalent to (x2 – 3x)(4x2 + 2x – 9)?
2 answers:
Answer:
B.
Step-by-step explanation:
The distributivity establish that in order to multiply these two polynomials, first you have to multiply by every element in
and then multiply
by every element in
as well.
That is exactly what the option B. says, since
in the expresion
is being multiplied by every element in
and also
is being multiplied by every element in
.
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Answer:
25
Step-by-step explanation:
So consecutive integers, just means they're separated by a value of 1. This can be generally expressed as "a, a+1" where these two values would be consecutive integers assuming "a" is an integer.
So let's express Hassan's age as the variable "x", since it's unknown. Since Cameron is older, and by definition of a consecutive integer, Cameron's can be expressed as "x+1"
So the equation we need to set up is Cameron's age + 5(Hassan's age) = 145
So we can substitute the variables we defined to express Cameron and Hassan's age:
Distribute the 5:
Add like terms:
Subtract 1 from both sides:
Divide both sides by 6:
Since we used "x" to represent Hassan's age, Hassan's age is 24. Since we used "x+1" to represent Cameron's age, Cameron's age is "24+1" which is just 25