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horsena [70]
3 years ago
6

WILL GIVE BRAINLIEST

Mathematics
1 answer:
galina1969 [7]3 years ago
7 0

Answer:

x= 3 inches

Step-by-step explanation:

-The volume of a box is given by the formula:

V=lwh\\\\l-length\\w-width\\h-height

-We are given the dimensions h=x+2, l=2x+5 and w=4x-1.

We substitute this values in the formula and equate to the volume value.

V=lwh\\\\605=(x+2)(2x+5)(4x-1)\\\\605=8x^3+34x^2+31x-10

#We take the values to the same side and equate to zero;

8x^3+34x^2+31x-615=0\\\\\\\#Factor\\\\\\(x-3)(8x^2+58x+205)=0

#Applying the zero factor principal to obtain the different values of x:

(x-3)=0\\\\\therefore x=3\ \ \ \ \ \ ...i\\\\(8x^2+58x+205)=0

#We use the quadratic formula to solve the two other values of x:

(8x^2+58x+205)=0\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\=\frac{-58\pm\sqrt{58^2-4\times 8\times 205}}{2\times 8}\\\\x=-3.625+3.533i \ and \ x=-3.625-3.533i

The two other values are negatives. Ignore them since length cannot be a negative.

The only reasonable value of x is x=3

#We substitute in the formula to validate:

V=lwh\\\\=(x+2)(2x+5)(4x-1)\\\\=(3+2)(2*3+5)(4*3-1)\\\\=605

Hence, the value of x is 3 inches

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The length of a rectangle is six times its width. If the perimeter of the rectangle is 98 yd , find its area.
kumpel [21]
P=2(W + L)
p= 2W + 2L
98=2W + 2(6W)
98=2W + 12W
98=W
98/14=14W/14
W=7

L= 6W
L = 6(7)
L= 42

CHECK
p=2(7 +42)
p=2(49)
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Area of a rectangle = W X L
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4 0
3 years ago
You open a business selling school supplies and tutoring sessions. In your first week, you had $9,000 in sales. You ran a promot
vaieri [72.5K]

Answer: total net sales = $7950

Step-by-step explanation:

The formula for determining total net sales is expressed as

total net sales = Gross sales - (sales returns + allowances + discount)

Gross sales means total sales.

From the information given,

Gross sales = $9000

Discounts = $900

Returns = $150

Allowances = 0(this is because it was not given)

Therefore,

total net sales = 9000 - (900 + 150)

= 9000 - 1050

total net sales = $7950

3 0
3 years ago
F(x)= x^2– 3x + 9<br> g(x) = 3x^3+ 2x^2– 4x – 9<br> Find (f - g)(x).
denis-greek [22]

Answer:

\large \boxed{\sf \ \ -3x^3-x^2+x+18 \ \ }

Step-by-step explanation:

Hello, please consider the following.

(f-g)(x)=f(x)-g(x)=x^2-3x+9-(3x^3+2x^2-4x-9)\\\\=x^2-3x+9-3x^3-2x^2+4x+9\\\\=\boxed{-3x^3-x^2+x+18}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0
3 years ago
The least common denominator of 1/2, 1/6, and 1/9 is:
solmaris [256]

Answer:

18

Step-by-step explanation:

Find the factors of each denominator

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6 = 2*3

9 = 3*3

The least common multiple is

2*3*3 = 18

The least common denominator is 18

4 0
3 years ago
Read 2 more answers
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