Answer:
4√2 × 4√8 = 64, an integer.
Step-by-step explanation:
a) 4√2 × 4√8
First let's remember that a square root can be rewritten as a 1/2 exponent,
Therefore the expression we have can be rewritten as
We are going to write all numbers in their prime factor expressions:
<u>*Note: Remember that when we multiply two numbers with the same base but different exponents we sum up the exponents*</u>
<u>*Also, when we elevate one exponent to another exponent, we multiply the exponents*</u>
Therefore, the expression 4√2 × 4√8 = 64 and therefore is an integer
Y=-3 because -12 divided by 4 is -3
Answer:
x=10/c
Step-by-step explanation:
3(cx-7)=9
(cx-7)=3
cx=10
x=10/c
Answer:
x=2 and y=0
Step-by-step explanation:
Rewrite equations:
y=−4x+8;y=
3
5
x+
−6
5
Step: Solvey=−4x+8for y:
y=−4x+8
Step: Substitute−4x+8foryiny=
3
5
x+
−6
5
:
y=
3
5
x+
−6
5
−4x+8=
3
5
x+
−6
5
−4x+8+
−3
5
x=
3
5
x+
−6
5
+
−3
5
x(Add (-3)/5x to both sides)
−23
5
x+8=
−6
5
−23
5
x+8+−8=
−6
5
+−8(Add -8 to both sides)
−23
5
x=
−46
5
−23
5
x
−23
5
=
−46
5
−23
5
(Divide both sides by (-23)/5)
x=2
Step: Substitute2forxiny=−4x+8:
y=−4x+8
y=(−4)(2)+8
y=0(Simplify both sides of the equation)
Answer:
The total cost of the material was $31.35
