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3 years ago

PLEASE HELP 30 PTS!!! Select ALL the correct answers. Which expressions are equivalent to the following?

Mathematics

1 answer:

Oksanka [162]3 years ago

7 0

Answer:

D: -5(-6x^2 + x + 2)

E: 5(2x + 1)(3x − 2)

Step-by-step explanation:

The first two answer choices have incorrect constants (25 and 3 vs -10). A factor of 5 is removed from the remaining answer choices, so let's remove a factor of 5 and see what we get:

30x^2 -5x -10 = 5(6x^2 -x -2)

An additional x cannot be factored from the expression, so choice C can be eliminated.

Multiplying each of these factors by -1 will make the product correspond to answer choice D.

Factoring will make it correspond to answer choice E, best verified by finding the x-term of the product of the binomial factors:

E: 2x(-2) +1(3x) = -x, as required

F: 2x(2) -1(3x) = x, wrong sign

The equivalent expressions are those of choices D and E.

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What is 4/9 - (-2/9)

Citrus2011 [14]

Hello!

$\frac{4}{9}-\frac{2}{9}$

First you had to used apply rule -(-b)=b

$\frac{4}{9}+\frac{2}{9}$

Since the denominators are equal to it should be combine by the fractions.

$\frac{4+2}{9}$

Then add 4+2=6

$\frac{6}{9}$

$\frac{4}{9}-\frac{-2}{9}$

Finally you had to cancel by the common factor of 3.

$=Answer--->\frac{2}{3}$

Hope this helps! And thank you for posting at here on Brainly. And have a great day! -Charlie :)

4 0

4 years ago

Can someone please explain how to solve this step by step with answer? Thank you.

lidiya [134]

well, she put 4000, and she earned in interest 960, so her accumulated amount is just their sum, 4960.

now, it doesn't say, so we're assuming is simple interest, as opposed to compound interest.

$\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&960\\ P=\textit{original amount deposited}\dotfill & \$4000\\ r=rate\to r\%\to \frac{r}{100}\dotfill\\ t=years\dotfill &3 \end{cases} \\\\\\ 960=(4000)(r)(3)\implies \cfrac{960}{(4000)(3)}=r\implies 0.08=r \\\\\\ \stackrel{\textit{converting to percentage}}{r=0.08\cdot 100}\implies r=\stackrel{\%}{8}$

let's make the rate 1% greater then, and check

$\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill\\ P=\textit{original amount deposited}\dotfill & \$4000\\ r=rate\to \stackrel{8+1}{9\%}\to \frac{9}{100}\dotfill&0.09\\ t=years\dotfill &3 \end{cases} \\\\\\ I=(4000)(0.09)(3)\implies I=1080 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{at 9\%}}{1080}-\stackrel{\textit{at 8\%}}{960}\implies \stackrel{\textit{that much more}}{120}$

4 0

3 years ago

!!!!!!Help Me Plz!!!!!!

vitfil [10]

Answer:

angle ABE = 55 degrees

Step-by-step explanation:

(3x-8) + (x+14) = 90

4x+6 = 90

4x = 84

x = 21

angle ABE = 3(21)-8 = 55

3 0

3 years ago

Taylor has $97.23 and her checking account she uses debit card to spend 29 .74 and then deposits 118.08 into her accounts what i

kotykmax [81]

Taylor’s new balance is $185.57.

Simply solve this by subtracting $29.74 from $97.23. After getting the difference, add $118.08.

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3 years ago

I need help with my homework :/

beks73 [17]

I HAVE THE FOLLOWING APPROACH
WE KNOW THAT THE MEAN IS 17,
WE ADD ALL THE NUMBERS AND GET 142+A+B= 17*10
142+A+B=170
A+B=28
NOW MEDIAN IS 18,
WE HAVE 10 NUMBERS, THAT MEANS THE MEDIAN WILL BE (17+B)/2=18
B=19
A=9
THESE ARE YOUR NUMBERS

5 0

3 years ago