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DanielleElmas [232]
3 years ago
14

What is the product of 2x+ 3 and 4x2 - 5x+ 6?

Mathematics
1 answer:
elena-s [515]3 years ago
7 0

Answer:

8x³ - 25x² - 3x + 18

Step-by-step explanation:

(2x + 3)(4x²- 5x + 6)

multiply 2x by each of the three terms in the second expression to get:

8x³ - 10x² + 12x

now multiply 3 by each of the three terms in the second expression to get:

12x² - 15x + 18

Combine 'like terms': -10x² + (-15x²) = -25x²

Combine 'like terms':  12x + (-15x) = -3x

Put all terms in decreasing exponent order:

8x³ - 25x² - 3x + 18

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Sophie deposited money into an account in which interest is compoundedsemiannually at a rate of 2.4%. She made no other deposits
meriva

Given

Compounded semiannually

rate = 2.4%

time = 11 years

Future Value = $11,227.78

\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ \frac{A}{(1+\frac{r}{n})^{nt}}=\frac{P(1+\frac{r}{n})^{nt}}{(1+\frac{r}{n})^{nt}} \\ P=\frac{A}{(1+\frac{r}{n})^{nt}} \\ P=\frac{11227.78}{(1+\frac{0.024}{2})^{2(11)}} \\ P=\frac{11227.78}{1.012^{22}} \\ P=8636.20 \end{gathered}

Rounding to the nearest whole number, the amount the she has deposited is $8636.

6 0
1 year ago
Select ALL the correct answers.
SCORPION-xisa [38]

Expression A decays at a rate of 5% every three months, while Expression B grows at a rate of 12% every four months  and  Expression A has an initial value of 624, while expression B has an initial value of 725 , Option B and E are the correct statements.

<h3>What is an Expression ?</h3>

It is a mathematical statement tat consists of variables , constants and mathematical operators.

It is given that

The company's records show the sales of short boards decrease every three months as represented by expression A, where t is the number of years that the boards have been for sale.

The company's records show that the sales of long boards increase every four months as represented by expression B, where t is the number of years that the boards have been for sale.

\rm Expression\; A = 624(0.95)^{4t}\\\\Expression \; B = 725(1.12)^{3t}

From observing both the expression the initial value is when t = 0

when t = 0,

A = 624

B = 725

and so Expression A decays at a rate of 5% every three months, while expression B grows at a rate of 12% every four months  and  Expression A has an initial value of 624, while expression B has an initial value of 725 , Option B and E are the correct statements.

To know more about Expression

brainly.com/question/14083225

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7 0
2 years ago
Zack uses fruits and nuts to make a trail mix . He uses 2 cups of fruit every 3 cups of nuts
dolphi86 [110]

Answer:

So he makes 5 cups of trail mix.

Step-by-step explanation:

5 0
3 years ago
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The area of a rectangle is 36 cm2. The length of the rectangle is 8 cm.
zhannawk [14.2K]
<span>What is the width of the rectangle? My answer is 32</span>
4 0
3 years ago
If log_3(x)=4.5 and log_3(y)=3, what is log_3(x^2/y)?<br><br>a. 3<br>b. 6.75<br>c. 6<br>d. 1.5​
astraxan [27]

There all log base 3, the base won't matter as long as they're all the same.

log(x^2/y)=2log(x)-log(y)=2(4.5)-3=6

Answer: c. 6

4 0
3 years ago
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