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3 years ago

4 times the difference of 4 and a number is 24

Mathematics

1 answer:

Len [333]3 years ago

6 0

Answer:

Step-by-step explanation:

Let "a number" = x

4(x - 4) = 24

Isolate the x. First, divide 4 from both sides

(4(x -4))/4 = (24)/4

x - 4 = 6

Add 4 to both sides

x - 4 (+4) = 6 (+4)

x = 6 + 4

x = 10

10 is your answer for "a number"

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Write an

Ilya [14]

Answer:

y=44x+178

Step-by-step explanation:

Refer to the picture that given

4 0

2 years ago

For a Saturday matinee, adult tickets cost $8.50 and kids under 12 pay only $7.00. If 80 tickets are sold for a total

jolli1 [7]

Answer:

30 adult tickets,
50 kids tickets

Step-by-step explanation:

Given

Cost of adult ticket = $8.50
Cost of kids ticket = $7.00
Number of tickets = 80
Total cost = $605

Let the adult ticket be a and kids be k

We got equations

a + k = 80
8.5a + 7k = 605

From the first equation we get

k = 80 -a

Substituting k in the second equation

8.5a + 7(80 - a) = 605
8.5a - 7a + 560= 605
1.5a = 45
a = 45/1.5
a = 30

Then finding k

k = 80 - 30 = 50

8 0

3 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

Double the difference of a number and seven

KengaRu [80]

Answer:

2x-14

Step-by-step explanation:

2(x-7)

distribute

2x-14

4 0

2 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Nikitich [7]

Answer: B. (-4, 0)

Step-by-step explanation:

The question is: when is the function constant?

function is also called f(x), which is also called "y".

So the question is asking: when is the y-value constant?

the y-value is constant (not increasing or decreasing) between x = -4 and x = 0. So the interval is (-4, 0)

7 0

2 years ago