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mariarad [96]
3 years ago
11

The polynomial 2x^3 + 9x^2 + 4x - 15 represents the volume in cubic feet of a rectangular holding tank at a fish hatchery. The d

epth of the tank is (x-1) feet. The length is 13 feet. Assume the length is the greatest dimension. Which linear factor represents the 13-ft length? What are the dimensions of the tank?
Mathematics
1 answer:
alina1380 [7]3 years ago
4 0
For part A: you will get 3 linear factors (as the degree of the polynomial is 3). perform the division using (x-1) as your known factor and you will get (x-1)(2x²+11x+15). you can then factor the (2x²+11x+15) to get 2x^3 + 9x^2 + 4x - 15 = (x-1)(2x+5)(x+3) 
for part B: since 2x+5 will provide the greatest value (assuming x>0) of the 3 factors, then 2x+5=13. solve to get x=4. if x is 4, then the dimensions are 3'x13'x7' [just sub 4 into the x's for each factor] 
for part C: as to the graphing calculator, I don't have one. However, if you solve each linear factor for when it is 0, those values will be the x-intercepts. So your graph should cross the x-asix at 1, -5/2, and -3 
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ASHA 777 [7]

Answer:

The number of ways Tony and Maria can both be selected for the committee is 8 ways.

Step-by-step explanation:

i) Tony and Maria have to be on the committee together or not at all.

ii) Let us consider Tony and Maria as combined as one person.

 Therefore now we can say that the number of eligible people for the committee = 9 - 1 = 8.

iii) therefore the number of ways that both Tony and Maria can be selected for the committee are

 = 8C1   =  \hspace{0.2cm}\binom{8}{1} = \frac{8!}{1! (8-1)!}  = \frac{8!}{1!\times 7!}  = \frac{8}{1}  = \hspace{0.1cm}8 \hspace{0.1cm}ways

6 0
3 years ago
Find the total surface area of the<br> following square pyramid:<br> 9 cm<br> 10 cm<br> SA = [?]cm2
MakcuM [25]

Answer:

280 cm2

Step-by-step explanation:

1)find the area of square

A=LW

=10×10

=100

2) find the area of triangle

A=B×H÷2

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=45

Coz,there are 4 triangle we multiple by 4

=45×4

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3)find the total surface area by adding the two

=100+180

=280cm2

4 0
2 years ago
What is the sum of 3/4 and 18/19
nadezda [96]
If you add them togeter just like making your t-charts

Ex1

3/4 18/19. List the factors of 19 and 4 if you subtract you have to find the GCF that will be on the bootom then do it to the top
4 0
3 years ago
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6 0
3 years ago
You want to buy new pair of Air Jordans but you don’t have the money for them you borrow 130 from your sister to buy the shoes t
Firlakuza [10]

You do not have enough money to pay your sister back and the amount left is $29

<h3>A. Do you have enough money to pay your sister back? </h3>

The given parameters are:

Amount borrowed = $130

Earnings = $12 per hour for 4 hours

Earnings = $12 per hour for 6 hours

Tip = $5

The total earnings is

Total = 12 * 4 + 12 * 4 + 5

Evaluate

Total = $101

101 is less than 130

Hence, you do not have enough money to pay your sister back

<h3>How much money left</h3>

The amount left is calculated as:

Amount left = $130 - $101

Evaluate

Amount left = $29

Hence, the amount left is $29

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brainly.com/question/2972832

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