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3 years ago

Which polynomials are in standard form?

Mathematics

2 answers:

tankabanditka [31]3 years ago

5 0

Answer:

A. x^2 + 3x + 2

D. 3x^4 + 4x^3 - 3x^2 - 1

E. 3t^3 + 3t^2 + 2t

Step-by-step explanation:

Standard form is where the equation is set up so that the exponents decrease from left to right, and where you put a number with no variable or exponent last.

Rudik [331]3 years ago

3 0

Answer:

option A, D and E

Step-by-step explanation:

The polynomial is in standard form only when the exponents starts with largest exponent and keeps on decreasing from greatest to least

$x^2+3x+2$ has largest exponent 2 and then x

option B and C has exponents that are not in order.

$3x^4+4x^3-3x^2-1$ has largest exponent 4 and the exponents are from greatest to least.

$3t^3+3t^3+2t$ has largest exponent 4 and the exponents are from greatest to least.

last option has exponents that are not in order.

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The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t3 + 0.5t2 + 9t + 4. Find S'(t).

mars1129 [50]

Answer:

$S(2) = 24.24$ . This means that in the second month, the company will sell 24.24 millions of dollars in total.

$S'(2) = 11.36$ . This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

d. The total sales 11 months from now will be $203.43 million dollars.

Step-by-step explanation:

The total sales of the company, in millions of dollars is given by the following formula:

$S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4$

This function has the following derivative, which represents the variation in relation to the previous month.

$S'(t) = 0.09t^{2} + t + 9$

Find S(2) and S'(2)

$S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4$

$S(2) = 0.03*(2)^{3} + 0.5*(2)^{2} + 9*2 + 4 = 24.24$

$S(2) = 24.24$ . This means that in the second month, the company will sell 24.24 millions of dollars in total.

$S'(t) = 0.09t^{2} + t + 9$

$S'(2) = 0.09*2^{2} + 2 + 9 = 11.36$

$S'(2) = 11.36$ . This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

Choose the correct interpretation of S(11)=203.43.

S represents total sales, and S(11) is the total sales 11 months from now.

So the correct answer is:

d. The total sales 11 months from now will be $203.43 million dollars.

7 0

3 years ago

What is the enlargement ratio if you enlarge the figure to have a width of 16 units and length of 12 units

Fantom [35]

Answer:

The enlargement ratio is 3:4

Step-by-step explanation:

We are given

a width of 16 units and length of 12 units

so,

$W=16$

and

$L=12$

now, we can find enlargement ratio

we can use formula

enlargement ratio = (length)/(width)

$=\frac{L}{W}$

now, we can plug values

$=\frac{12}{16}$

now, we can simplify it

$=\frac{3}{4}$

So,

The enlargement ratio is 3:4

6 0

3 years ago

Suryana bought 16 watches for rs 16000. At what rate should he sell the watches to gain rs 3200?

dangina [55]

Answer:

Step-by-step explanation:

So if 16 watches is 16000 rs, then if you want to make 3200 more rs, your total from 16 watches should be 19200 (which is 16000+3200)

so the rate per watch should be 19200/16 = 1200

So it should be 1200rs/watch is the rate

8 0

4 years ago

Read 2 more answers

Robyn uses cup of blueberries to make each loaf of blueberry bread. Explain how many loaves of blueberry bread she can make with

tekilochka [14]

Answer:

2 loaves of blueberry bread

Step-by-step explanation:

for 1 loaf of bread she uses 1 cup

for 2 loaves she will use 2 cupa

7 0

3 years ago

Solve for n.<br> 3/4 x n = 1

cestrela7 [59]

3/4 times n=1

remember that when you multiply 3/4 by 4/3 you get 12/12=1 so it simplifies
remember that you can do anything to an equation as long as you do it to both sides

3/4 ties n=1
multiply both sides by 4/3 to clar fraction
12/12 times n=4/3 times 1
1 times n=4/3
n=4/3

answer is n=4/3 or 1 and 1/3

3 0

3 years ago