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4 years ago

Write as an equivalent expression: (3x+5)(2x+3)

Mathematics

1 answer:

VladimirAG [237]4 years ago

4 0

Answer: 5x+8

Step-by-step explanation: You have to combine like terms.

3x+2x=5x

5+3=8

= 5x+8

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A triangular playground is to be enclosed using two pieces of fencing and the wall of a building. The wall of the building is 14

Greeley [361]

Answer:

Step-by-step explanation:

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3 years ago

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3 years ago

Find an for the arithmetic series with s16 = -288 And a1 =-21

Maru [420]

If $d$ is the common difference between terms in the sequence $\{a_n\}$ , then

$a_1=-21$
$a_2=a_1+d=-21+d$
$a_3=a_2+d=-21+2d$
...
$a_n=a_{n-1}+d=\cdots=-21+(n-1)d$

You're told that $S_{16}=-288$ (the sum of the first 16 terms in the sequence, presumably). Well, we know that

$S_{16}=\displaystyle\sum_{n=1}^{16}a_n=\sum_{n=1}^{16}(-21+(n-1)d)$
$S_{16}=\displaystyle(-21-d)\sum_{n=1}^{16}1+d\sum_{n=1}^{16}n$

Recall that

$\displaystyle\sum_{n=1}^kn=\frac{k(k+1)}2$

so that we have

$-288=16(-21-d)+\dfrac{16(16+1)}2d\implies d=\dfrac25$

So we get

$\begin{cases}a_1=-21\\\\a_n=-21+\dfrac25(n-1)\end{cases}$

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3 years ago

For each relation, decide whether or not it is a function.

drek231 [11]

Answer:

Relation 1 is a function. Relation 2 is not a function.

Step-by-step explanation:

If the domain is used more than once it is not a function. For example, in Relation 2, -3 was used twice.

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3 years ago

3x = 2x + 18 : slove the equation

Romashka [77]

Answer:

3x= 2x+18

3x-2×=2×-2×+18

×=18

3 0

3 years ago

Read 2 more answers