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Kay [80]
2 years ago
9

the volume of a box is 45x^3 + 198x^2 + 189x. find expressions for the possible dimensions of the prism

Mathematics
1 answer:
Oxana [17]2 years ago
7 0

Answer:

length, width, and height are (b+2), (b-2), (b+3)

Step-by-step explanation:

Doing what the problem statement tells you to do, you get ...

 (b^3 +3b^2) -(4b +12)

 = b^2(b +3) -4(b +3) . . . factor each pair of terms

 = (b^2 -4)(b +3) . . .  write as a product

 = (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares

The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.

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If a 5 foot post casts an 8 foot shadow at the same time that a nearby tree casts a 48 foot shadow how tall is the tree
andriy [413]
The first thing we are going to assume for this case is that the tree and the post are located in the same place.
 From that place, both cast a shadow in the same direction.
 We then have two similar triangles.
 Therefore, we have the following relationship:
 \frac{x}{48} = \frac{5}{8}
 From here, we clear the value of x.
 We have then:
 x = \frac{5}{8} *48
 Rewriting:
 x=30
 Answer:
 
the tree is 30 feet tall
3 0
2 years ago
The average cost of college tuition increases from $8500 to $13,500 over a period of 8 years. Find the annual inflation rate to
vovangra [49]

Answer:

Follow my insatagram onlypiccolo for answerStep-by-step explanation:

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2 years ago
Xavier collected 12 shells at the beach. Nora collected 5 fewer than Xavier. How many shells did Nora collect?
Ulleksa [173]

Answer:

7, Nora collected 7 shells.

Step-by-step explanation:

Xavier collected 12 shells whilist she collected 5 fewer then Xavier.

12 - 5 = 7

Therefore, Nora collected 7 shells at the beach.

8 0
2 years ago
Rita is starting a running program. The table shows the total number of miles she runs in different weeks. What is the equation
prisoha [69]

Answer:

The best fit line is y = 1.671x + 4.699

Step-by-step explanation:

We are given,

The table representing the number of miles run in different weeks is,

Week                        Miles Run

1                                        5

2                                       8

4                                       13

6                                       15

8                                       19

10                                     20

Using the linear regression calculator, we see that,

<h3>The equation of the line best fit for the data is y = 1.671x + 4.699.</h3>

6 0
3 years ago
Read 2 more answers
If f(x) = -4.2 – 2 is vertically translated 6 units up to g(x), what is the y-intercept of g(x)?
Aleksandr-060686 [28]

Answer:

4

Step-by-step explanation:

-2 + 6 = 4

6 0
3 years ago
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