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3 years ago

Choose the correct simplification of (4x3 + 3x2 - 6x) - (10x3 + 3x2)

Mathematics

2 answers:

Doss [256]3 years ago

8 0

Answer:

it would be -6x^3 - 6x

Step-by-step explanation:

vagabundo [1.1K]3 years ago

7 0

Answer:

-6x^3-6x

Step-by-step explanation:

https://www.symbolab.com/solver/step-by-step/%5Cleft(4x%5E%7B3%7D%2B3x%5E%7B2%7D-6x%5Cright)-%5Cleft(10x%5E%7B3%7D%2B3x%5E%7B2%7D%5Cright)

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What is the true solution to the equation below?

Naddik [55]

Yeeee

assuming your equaiton is
$2ln(e^{ln(2x)})-ln(e^{ln(10x)})=ln(30)$

remember some nice log rules
$log_a(b)=c$ translates to $a^c=b$
and
$a^{log_a(b)}=b$
and
$xlog_c(b)=log_c(b^x)$
and
$ln(x)=log_e(x)$
and
$log(a)-log(b)=log(\frac{a}{b})$
and
if $log(a)=log(b)$ then a=b

so

we can simplify a bit of stuff here

the $e^{ln(2x)} \space\ and \space\ the \space\ e^{ln(10x)}$ can be simplified to $2x \space\ and \space\ 10x$

so we gots now

$2ln(2x)-ln(10x)=ln(30)$
$ln((2x)^2)-ln(10x)=ln(30)$
$ln(4x^2)-ln(10x)=ln(30)$
$ln(\frac{4x^2}{10x})=ln(30)$
same base so
$\frac{4x^2}{10x}=30$
$\frac{2x}{5}=30$
times both sides by 5
$2x=150$
divide both sides by 2
$x=75$
answer is x=75

5 0

3 years ago

le Gianna just started a running plan where she runs 20 miles the first week and then increases the number of miles she runs by

yuradex [85]

Answer:

Gianna ran 40 miles over the course of 17 weeks.

Step-by-step explanation:

20 miles in the first week.

5% increase each week.

17 weeks.

5% * 20 = 1

1 mile increase each week.

17 * 1 = 17

17 mile increase over the course of 17 weeks.

20 + 17 = 37

37 miles over the course of 17 weeks.

Round 37 to the nearest whole number.

37 ^ 40

4 0

3 years ago

On the map of an amusement park on a coordinate grid, the skating rink is at (−1.5, −1).

inessss [21]

The first option is correct.

Moving 1.5 units to the left (or -1.5 units to the right).
Moving 1 unit down (or -1 unit up).

Therefore you get the result of (-1.5, 1) as is the location of the rink.

6 0

2 years ago

Read 2 more answers

You have $25,000 to invest. You can find an account (Acount A) that guarantees $925 per year. You also found a simple interest a

Sveta_85 [38]

Account A
A=p+i
A=25,000+(925×5)
A=29,625

Account B
A=p(1+rt)
A=25,000×(1+0.065×5)
A=33,125

How much more did the account B earn
33,125−29,625
=3,500

8 0

2 years ago

Which of the following conditions would guarantee that triangles are identical?

7nadin3 [17]

Answer: Two triangles have the same side lengths (Ex: both triangles have sides 3, 4, and 5 cm)

Step-by-step explanation:

1) This would guarantee similarity, but not necessarily that they are identical.

2) The angle has to be included between the two sides, which is not specifed.

3) This would work (SSS congruence)

4) It is not specified if the side is opposite the corresponding angles.

4 0

2 years ago