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3 years ago

4x^2 = 28x Solve and explain how you arrived at the solution

1 answer:

4 0

Step 1: Subtract 28x from both sides.
4x2−28x=28x−28x4x2−28x=0
Step 2: Factor left side of equation.
4x(x−7)=0
Step 3: Set factors equal to 0.
4x=0 or x−7=0
Answer:x=0 or x=7

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A box with a square base and open top must have a volume of 97556 c m 3 cm3 . We wish to find the dimensions of the box that min

Kipish [7]

Answer:

S(x) = x² + 390224/x

Step-by-step explanation:

Volume of the open box = V = 97556 cm³

Material needed:

Let´s call x the side of the square base then the area of the base is

A(b) = x²

For the sides of the box, we have 4 sides each one with area of x*h

where h is the height of the box

The volume of the box V(b) = 97556 = x²*h then h = 97556/x²

S(x,h) = x² + 4*x*h*

The surface area of the box as function of x is:

S(x) = x² + 4*x*97556/x²

S(x) = x² + 390224/x

6 0

3 years ago

Find the slope that passes through (2,-4) and (5,2)

yanalaym [24]

Hi there! :)

Step-by-step explanation:

$SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}$

$\frac{2-(-4)}{5-2}=\frac{6}{3}=2$

Therefore, the slope is 2.

Final answer is 2.

*The answer must have a positive sign.*

I hope this helps you!

Have a nice day! :)

-Charlie

Thank you! :)

7 0

3 years ago

What is the answer need it

denis-greek [22]

Answer:

$\frac{7}{10} |$

Step-by-step explanation:

STEP 1:

2/3 + 7/10 = ?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(2/3, 7/10) = 30

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

$(\frac{2}{3}$ * $\frac{10}{10})$ + $(\frac{7}{10} * \frac{3}{3})$ = ?

Complete the multiplication and the equation becomes

$\frac{20}{30} + \frac{21}{30}$

The two fractions now have like denominators so you can add the numerators.

Then:

$\frac{20+21}{30} = \frac{41}{30}$

This fraction cannot be reduced.

The fraction 41/30

is the same as

41 divided by 30

Convert to a mixed number using

long division for 41 ÷ 30 = 1R11, so

41/30 = 1 11/30

Therefore:

2/3+7/10= 1 11/30

STEP 2:

41/30 + -2/3

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(41/30, -2/3) = 30

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

$(\frac{41}{30} *\frac{1}{1} ) + ( \frac{-2}{3} * \frac{10}{10} )$