Answer:
Greatest Common Factor of 40+24 is 8
Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)
Step-by-step explanation:
We need to F=find the greatest common factor of the two numbers 40+24 and rewrite the expression using the distributive property
The greatest number that is divisible by both numbers is known as greatest common factor.
So, Greatest Common Factor of 40+24 is 8
Now, Taking 8 common we get: 8(5+3)
It is written as: a(b+c) = ab+ac
So, we have 8(5+3) =8(5)+8(3)
Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)
we have
This is the equation of a vertical parabola with vertex at point 
The parabola open upward------> the vertex is a minimum
This is the equation of a vertical parabola with vertex at point 
The parabola open upward------> the vertex is a minimum
so
the rule of the translation is
that means
the translation is 
units to the right and 
units up
the graph of the function g(x) is the translated graphic of the function f(x) units to the right and units up
therefore
<u>the answer is</u>
g(x) is shifted units right and units up
Perimeter = 2(Length) + 2(Width)
300 = 2L + 2W → 150 = L + W → 150 - L = W
Area = Length · Width
= L(150 - L) → = 150L - L²
There are 2 different methods for solving (depending on which math course you are taking).
<u>Calculus</u>: find the derivative, set it equal to zero, and solve for L.
= 150L - L² → 0 = 150 - 2L → 2L = 150 → L = 75
<u>Algebra</u>: find the vertex.
= - L² + 150L → L = -b/2a → L = -150/2(-1) → L = 75
Once you solve for L, plug it into the Perimeter equation to solve for W:
150 - L = W → 150 - 75 = W → W = 75
Answer: 75ft x 75ft
Answer:
Emily bough 1080 inches of fabric.
Step-by-step explanation:
There are 36 inches in a yard.
36 multiplied by 30 = 1080.
1.First multiply 4(2y) and 4(6) which gives you (8y-24).
2.Then write out the whole problem: (15y-8y-24).
3.Subtract 15y-8y first since they have equal terms. That will give you 7y.
4.Now you have (7y-24).
Hoped this helps!!:-)))
