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2 years ago

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Which expression is the simplest form of 3(2x + y) + 4(x - 4y) + x2?

2 answers:

g100num [7]2 years ago

7 0

Answer:

x^2 + 10x - 13y.

Step-by-step explanation:

3(2x + y) + 4(x - 4y) + x^2 First apply the Distributive law to the parentheses:

= 6x + 3y + 4x - 16y + x^2 Now add like terms:

= 10x - 13y + x^2.

Elan Coil [88]2 years ago

7 0

Which expression is the simplest form of 3(2x+y)+4(x-4y)+ $x^{2}$ ?

Answer:

$x^{2}$ -13y+10x

Step-by-step explanation:

3(2x+y)+4(x-4y)+ $x^{2}$

6x+3y+4x-16y+ $x^{2}$

$x^{2}$ -13y+10x

You might be interested in

Write two equivalent fractions for 5/10

shtirl [24]

1/2 and 10/20

to get 1/2 you have to divide 5/10 by 5:

5 / 5 1
----- = -----
10 / 5 2

to get 10/20 you have to multiply 5/10 by 2:

5 * 2 10
----- = ----
10 * 2 20

Hope it helps! =)

7 0

2 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%24a%2Ba%20r%2Ba%20r%5E%7B2%7D%2B%5Cldots%20%5Cinfty%3D15%24%24a%5E%7B2%7D%2B%28a%20r%29%5E%7B

riadik2000 [5.3K]

Let

$S_n = \displaystyle \sum_{k=0}^n r^k = 1 + r + r^2 + \cdots + r^n$

where we assume |r| < 1. Multiplying on both sides by r gives

$r S_n = \displaystyle \sum_{k=0}^n r^{k+1} = r + r^2 + r^3 + \cdots + r^{n+1}$

and subtracting this from $S_n$ gives

$(1 - r) S_n = 1 - r^{n+1} \implies S_n = \dfrac{1 - r^{n+1}}{1 - r}$

As n → ∞, the exponential term will converge to 0, and the partial sums $S_n$ will converge to

$\displaystyle \lim_{n\to\infty} S_n = \dfrac1{1-r}$

Now, we're given

$a + ar + ar^2 + \cdots = 15 \implies 1 + r + r^2 + \cdots = \dfrac{15}a$

$a^2 + a^2r^2 + a^2r^4 + \cdots = 150 \implies 1 + r^2 + r^4 + \cdots = \dfrac{150}{a^2}$

We must have |r| < 1 since both sums converge, so

$\dfrac{15}a = \dfrac1{1-r}$

$\dfrac{150}{a^2} = \dfrac1{1-r^2}$

Solving for r by substitution, we have

$\dfrac{15}a = \dfrac1{1-r} \implies a = 15(1-r)$

$\dfrac{150}{225(1-r)^2} = \dfrac1{1-r^2}$

Recalling the difference of squares identity, we have

$\dfrac2{3(1-r)^2} = \dfrac1{(1-r)(1+r)}$

We've already confirmed r ≠ 1, so we can simplify this to

$\dfrac2{3(1-r)} = \dfrac1{1+r} \implies \dfrac{1-r}{1+r} = \dfrac23 \implies r = \dfrac15$

It follows that

$\dfrac a{1-r} = \dfrac a{1-\frac15} = 15 \implies a = 12$

and so the sum we want is

$ar^3 + ar^4 + ar^6 + \cdots = 15 - a - ar - ar^2 = \boxed{\dfrac3{25}}$

which doesn't appear to be either of the given answer choices. Are you sure there isn't a typo somewhere?

7 0

2 years ago

estimate each product. tell whether the estimate is greater than or less than the actual product. $224×12= 372×36= 488×85= 515×4

Jobisdone [24]

<span>224*12=2600(less than actual Product) 372*36=13400(greater than actual Product) 488*85=41500(greater than actual Product) 515*41=21100(less than actual Product)</span>

6 0

3 years ago

What represents 2 1/4 on a number line

suter [353]

Point c is the point hope this helps

6 0

2 years ago

Simplify<br> x^2(y^3)^4/xy^5=x^a•y^b

givi [52]

Answer: a = 1 b = 7

Step-by-step explanation:

x^2(y^3)^4/x.y^5 = x^a.y^b

x^2(y^12) = x^a.y^b

(x^2).(y^12)/x^y^5 = x.y^7

x.y^7= x^a . y^b -> <u>x^1.y^7</u>

7 0

2 years ago