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Grace [21]
3 years ago
14

5(4x-1)-2x=31 what does x equal

Mathematics
2 answers:
Elenna [48]3 years ago
6 0

Answer:

X=2

Step-by-step explanation:

5(4x-1)-2x=31

Distribute the 5

20x-5-2x=31

18x-5=31

18x=31+5

18x=36

When you divide you get 2

Also, Photomath exists, it’s great for math problems

ehidna [41]3 years ago
3 0

20x - 5 - 2x = 31

18x = 36

x = 2

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Find the remainder when f(x)=x3−4x2−6x−3 f ( x ) = x 3 − 4 x 2 − 6 x − 3 is divided by x+1
loris [4]

Answer:

The remainder is -2.

Step-by-step explanation:

According to the Polynomial Remainder Theorem, if we divide a polynomial P(x) by a binomial (<em>x</em> - <em>a</em>), then the remainder of the operation will be given by P(a).

Our polynomial is:

P(x) = x^3-4x^2-6x-3

And we want to find the remainder when it's divided by the binomial:

x+1

We can rewrite our divisor as (<em>x</em> - (-1)). Hence, <em>a</em> = -1.

Then by the PRT, the remainder will be:

\displaystyle\begin{aligned}  R &= P(-1)\\ &=(-1)^3-4(-1)^2-6(-1)-3 \\ &= (-1)-4(1)+(6)-3 \\ &= -2 \end{aligned}

The remainder is -2.

5 0
2 years ago
Find the radius of convergence, r, of the series. ? n2xn 7 · 14 · 21 · ? · (7n) n = 1
defon
I'm guessing the series is supposed to be

\displaystyle\sum_{n=1}^\infty\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}

By the ratio test, the series converges if the following limit is less than 1.

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7\cdot14\cdot21\cdot\cdots\cdot(7n)\cdot(7(n+1))}}{\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}}\right|

The first n terms in the numerator's denominator cancel with the denominator's denominator:

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7(n+1)}}{n^2x^n}\right|

|x^n| also cancels out and the remaining factor of |x| can be pulled out of the limit (as it doesn't depend on n).

\displaystyle|x|\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2}{7(n+1)}}{n^2}\right|=|x|\lim_{n\to\infty}\frac{|n+1|}{7n^2}=0

which means the series converges everywhere (independently of x), and so the radius of convergence is infinite.
3 0
3 years ago
Graph a system of equations to approximate the
SIZIF [17.4K]

Answer: B

Step-by-step explanation:

8 0
3 years ago
What is the x? please answer!
zzz [600]

Answer:

x = 2

Step-by-step explanation:

1. distribute 9 in 9(x+1)

9x + 9 = 25 + x

2. subtract x from the right side to isolate x onto one side

8x + 9 = 25

3. subtract 9 from the left side

8x = 16

4. divide both sides by 8 to get x alone

x = 2

8 0
2 years ago
Walters savings account has a balance of $273. After 5 years, what will the amount of interest be at 5% compounded quarterly?
I am Lyosha [343]
The answer is $350

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P: Principal Amount : $273
r: Rate of interest: 5%
n: number of times the interest is compounded: 4 (Since Quarterly)
t:  number of years : 5
7 0
3 years ago
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