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enot [183]
3 years ago
8

PLZ TRANSLATE AND SOLVE:

Mathematics
1 answer:
taurus [48]3 years ago
4 0
2(6+(x+3)) * (2-x) = 4 is what it looks like. twice meaning two of the following part,

then x needs increased by 3 before being added to 6

times (multiply)

the difference of 2 and x

all this = 4


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Given: x is an integer. Conjecture: -x is negative. Counterexample:
Setler [38]

Answer:

-1,-2,-3,-4,-5,-6,-7,-8,-9

8 0
3 years ago
A loan of $1,020 was repaid at the end of 18 months with a check for $1,050. What annual rate of interest was charged?
marishachu [46]
We'll be assuming this is with simple interest.

now, a year has 12 months, thus in 18 months there are 18/12 years.

\bf ~~~~~~ \textit{Simple Interest Earned Amount}
\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &\$1050\\
P=\textit{original amount deposited}\to& \$1020\\
r=rate\to r\%\to \frac{r}{100}\\
t=years\to \frac{18}{12}\to &\frac{3}{2}
\end{cases}

\bf 1050=1020\left[ 1+r\left( \frac{3}{2} \right) \right]\implies \cfrac{1050}{1020}=1+r\left( \frac{3}{2} \right) \implies \cfrac{35}{34}=1+r\left( \frac{3}{2} \right)
\\\\\\
\cfrac{35}{34}-1=\cfrac{3}{2}r\implies \cfrac{1}{34}=\cfrac{3}{2}r\implies \cfrac{2\cdot 1}{3\cdot 34}=r\implies \cfrac{1}{51}=r
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r\%=100\cdot \cfrac{1}{51}\implies r\approx\stackrel{\%}{1.96078431372549}
8 0
4 years ago
Compare factoring by grouping to factoring out the greatest common factor.
Blababa [14]

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Step-by-step explanation:

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This is a polynomial written with four terms that don't have a single common factor among them. However, the first two terms have a common factor (3x), and the last two terms have a common factor (10). This situation doesn't answer all of our wildest factoring dreams, but we'll take it.

By pulling out the common factors for each pair of terms, we can rewrite the original polynomial like this:

3x(2x + 1) + 10(2x + 1)

These two terms now have a common factor of (2x + 1). Seems like we should be able to do something with that information, don't you think? In fact, we can pull out this common factor and rewrite the polynomial again:(3x + 10)(2x + 1)

7 0
3 years ago
The polygon below is a regular hexagon. What is the approximate length of the apothem? Round to the nearest tenth.
grigory [225]

Answer:

B

Step-by-step explanation:

Inside the figure is a right triangle with hypotenuse 18 cm. Its height is half the measure of the side length. 18.2 is 9 cm. Using 9 cm and 18 cm, substitute the values into the Pythagorean theorem.

a^2 + b^2 = c^2\\9^2 + b^2 = 18^2\\81 + b^2 = 324\\b^2 = 243\\b = 15.6

3 0
4 years ago
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Which statement is true about a negative number and its additive inverse?
MakcuM [25]

Answer:

B.) They are on opposite sides of zero on the number line.

stay safe and have a great day!

6 0
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