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Leya [2.2K]
3 years ago
11

The width of a box is x units.

Mathematics
1 answer:
wariber [46]3 years ago
8 0

Answer:

3x² + 30x

Step-by-step explanation:

width of a box = x units.

height of a box = 3 units.

length of a box = (x + 10) units.

Volume of the box = length × width × height

= (x + 10) * x * 3

= (x + 10) * 3x

= 3x² + 30x

Volume of the box = 3x² + 30x

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Sonbull [250]
<span>2 + 13x, because (19x − 6x) + 2 = 13x + 2 = 2 + 13x</span>
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3 years ago
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Find each percent change. Round to the nearest tenth of a percent. State if it is an increase or decrease. From 79 miles to 84 m
PolarNik [594]

Answer:

the answer is d.

Step-by-step explanation:

first, you want to use the formula,

new value - original value

<u>____________________</u>

         original value              * 100

you see that 84 is the new value and 79 would be the original value. substitute the numbers in. this is a increase since you will get a positive value.

84 - 79

<u>______</u>

   79      * 100

now we solve it.

5

<u>__</u>

79  * 100

you can either solve the fraction first then multiply that by 100 or multiply the numerator by 100 first then divide that by 79, each way works.

500

<u>____</u>

 79   =  approximately 6.3% increase (this is not a exact value, just rounded)

      or

5

<u>__</u>

79  = approximately 0.063 (this is not a exact value, just rounded)

0.063 * 100 = 6.3% increase

7 0
3 years ago
Solve by simplifying the problem. There are 18 students in Mr. Alvarez’s art class. Throughout the year, every student must pair
Alla [95]
We are given with an 18 student class that is working a project worked by pairs. Each pair works on a project. In this case, there are 9 teams of 2 individuals working on a single project. Hence for a year or school year, there are 9 projects accomplished each time.
5 0
3 years ago
Solve for x -(2x+5)+14=22
Gala2k [10]

Hey there!☺

Answer:\boxed{x=\frac{-13}{2}}

Explanation:

-(2x+5)+14=22 Equation

−(2x+5)+14=22  Simplify both sides

−2x + −5 + 14 = 22 Distribute

(−2x) + (−5+14) = 22 Combine Like Terms

-2x + 9 = 22

-2x + 9 - 9 = 22 - 9 Subtract 9 from both sides

-2x = 13

-2x/-2 = 13/-2

-13/2 Add the negative to 13

x = -13/2

Hope this helps!

7 0
3 years ago
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE
EleoNora [17]

Answer:

0, 10

Step-by-step explanation:

The given function is:

g(y) = \frac{y-5}{y^2-3y+15}

According to the quotient rule:

d(\frac{f(y)}{h(y)})  = \frac{f(y)*h'(y)-h(y)*f'(y)}{h^2(y)}

Applying the quotient rule:

g(y) = \frac{y-5}{y^2-3y+15}\\g'(y)=\frac{(y-5)*(2y-3)-(y^2-3y+15)*(1)}{(y^2-3y+15)^2}

The values for which g'(y) are zero are the critical points:

g'(y)=0=\frac{(y-5)*(2y-3)-(y^2-3y+15)*(1)}{(y^2-3y+15)^2}\\(y-5)*(2y-3)-(y^2-3y+15)=0\\2y^2-3y-10y+15-y^2+3y-15\\y^2-10y=0\\y=\frac{10\pm \sqrt 100}{2}\\y_1=\frac{10-10}{2}= 0\\y_2=\frac{10+10}{2}=10

The critical values are y = 0 and y = 10.

5 0
3 years ago
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