Answer:
Angela is correct. Ricardo made a mistake which was that he probably got confused and did four times three plus two instead of four plus three times two.
Answer:
x=3 and y=4
Step-by-step explanation:
Let's solve your system by substitution.
x+y=7;x+2y=11
Step: Solvex+y=7for x:
x+y=7
x+y+−y=7+−y(Add -y to both sides)
x=−y+7
Step: Substitute−y+7forxinx+2y=11:
x+2y=11
−y+7+2y=11
y+7=11(Simplify both sides of the equation)
y+7+−7=11+−7(Add -7 to both sides)
y=4
Step: Substitute4foryinx=−y+7:
x=−y+7
x=−4+7
x=3(Simplify both sides of the equation)
Answer:
x=3 and y=4
PLS BRAINLIEST
Given
Gina has 6 yards of ribbon.
She cuts the ribbon into pieces that each measures three fourths yard.
Find out how many pieces of three fourths yard does Gina have
To proof
let the number of pieces of the ribbon be x.
As given in the question
Gina has of ribbon = 6 yards
She cuts the ribbon into pieces that each measures three fourths yard
Than the equation becomes


solving the above equation
we get
x = 2 × 4
x = 8
Gina have 8 pieces of three fourths yard
Hence proved
Answer:
The value of double derivative at x=4.834 is negative, therefore the trough have a maximum volume at x=4.834 inches.
Step-by-step explanation:
The dimensions of given metal strip are
Length = 160 inch
Width = 20 inch
Let the side bend x inch from each sides to make a open box.
Dimensions of the box are
Length = 160-2x inch
Breadth = 20-2x inch
Height = x inch
The volume of a cuboid is

Volume of box is



Differentiate with respect to x.

Equate V'(x)=0, to find the critical points.

Using quadratic formula,

The critical values are


Differentiate V'(x) with respect to x.

The value of double derivative at critical points are


Since the value of double derivative at x=4.834 is negative, therefore the trough have a maximum volume at x=4.834 inches.
Answer:
C. 1/(x^3)
Step-by-step explanation:
Notice x^0=1
So this turns out to be x^-3 only
Simplify it and you get 1/(x^3)