MATHEMATICS HIGH SCHOOL

I dont understand how to do this
its factoring quadratics

Answers

Answer 1

Answer:

olume = length * height * width

Therefore 280 = 4 * (n + 2) * (n + 5)

Divide both sides of the equation by 4

70 = (n + 2)(n +5)

Expand

70 = n^2 + 5n + 2n + 10

Subtract 70 from both sides and simplify

0 = n^2 + 7n -60

Factor

(n +12)(n -5) = 0

Therefore n = -12 or + 5

As n cannot be less than -2 as you cannot have a negative dimension, it means that n = 5 and the sides are 4, (5 + 2), (5 + 5) = 4, 7 and 10 inches respectively

Volume is therefore

4*7*10 = 280 = correct

Hope this helped!

Related Questions

Solve this system of equations by using an algebraic method.Equation: y = 3x + 5 3x - y = 5
3(-X+4)=7x-8. Yeahhhh...
construct the graph of x^2+y^2=9 what would this graph look like and what are its coordinates please help?
A quadratic equation is written in four equivalent forms below. I. y = (x - 1)2 - 49 II. y = x2 - 2x - 48 III. y = (x + 6)(x - 8) IV. y = x(x - 2) - 48 Which of the forms shown above would be the most useful if attempting to find the x-intercepts of the quadratic equation?
Which fraction is equivalent to the ratio 126 : 54

When flying from Florida to the Philippines island why does the shortest route pass through Alaska?

Answers

Because the earth is round, the distance seen on a flat map is a lot further than the distance on a globe, because of distortion. So following the circle that goes through these 3 points ( Florida, Alaska and the Philippines) it is a shorter distance to fly over Alaska.

Find -x + 10 less than 0.

0
-x + 10
x - 10

Answers

for
-x+10 < 0
x<-10

for
x-10<0
x<10

Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare. Which comparison of the childcare costs is accurate?

Answers

Answer:

Gym B and Gym A charge the same hourly rate for the children.

Step-by-step explanation:

They are the same amount. if you divide 60 by 5 it is 12 and when you multiply .75 by 12 it equals 9. so Both are $9.00 an hour.

Solve:
3(x - 2) = 18

Answers

Answer:

Standard form:

3x − 24 = 0

Factorization:

3(x − 8) = 0

Solutions:

x = 24

= 8

Step-by-step explanation:

Hope this helps? :))

$\large\tt Step-by-step~explanation:$

To solve for x, we have to isolate the variable.

$\tt Step~1:$

First, we distribute 3 to (x - 2) because when there are parentheses with terms inside it next to another term, then we have to multiply them together.

$\tt 3*x=3x\n3*-2=-6\n3x-6=18$

$\tt Step~2:$

Next, we add six on the left side of the equation to cancel out - 6. We also add 6 to the right, because we have to do whatever we do on both sides of the equation.

$\tt 3x-6(+6)=18(+6)\n3x=24$

$\tt Step~3:$

Finally, we divide both sides by 3 to isolate x and get our answer.

$\tt (3x)/(3)=x\n(24)/(3)=8\nx=8$

$\large\boxed{\tt Our~final~answer: ~x=8}$

If c = 3 and d = 5, what is the value of the following expression: (c + d) + 5d - c over the power of 2

Answers

The correct answer is 24. 3+5)+5×5-3×3=24

Subsitute the letter with numbers
(3+5)+5×5-3∧2
Okay so do PEMDAS
Parenthesis
3+5=8
8+5×5-3∧2
Exponent
-3×-3=9
8+5×5+9
Multiply
5×5=25
8+25+9
Addition
25+9= 34
34+8=42
So the answer is 42.
~JZ
Hope it helps

The length of the walk-in closet is 2 more than 5 times its width. If the perimeter of thecloset is 64 feet, what is its width?