Solve for x: 3x − 24 = 81
57/3
105/3
57
105

Answers

Answer 1
Answer:

To solve for x, we need to get all our constants on one side of the equal sign and all our variables on the other side of the equal sign.


3x - 24 = 81

3x -24 + 24 = 81 +24

3x = 81 + 24

3x = 105

3x/3 = 105 / 3

x = 105 / 3



Answer 2
Answer:

Answer:

x=(105)/(3)

Step-by-step explanation:

To solve for x, we need to get all our constants on one side of the equal sign and all our variables on the other side of the equal sign.

3x-24=81

3x-24+24=81+24

3x=81+24

3x=105

(3x)/(3)=(105)/(3)

Therefore, the answer is:x=(105)/(3)


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If 2/3x+1/2y=5 what is the value of 4x+3y

Answers

Final answer:

To find the value of 4x + 3y, the given equation can be solved by clearing the fractions and simplifying the expression. The value of 4x + 3y is 30.

Explanation:

To find the value of 4x + 3y, we need to first solve the given equation for either x or y. Let's solve the equation for x:

2/3x + 1/2y = 5

Multiplying both sides of the equation by 6 to clear the fractions gives us:

4x + 3y = 30

Therefore, the value of 4x + 3y is 30.

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Slope=
2.000
2.667

=1.333
x−intercept=
4
30

=
2
15

=7.50000
y−intercept=
−3
30

=
−1
10

=−10.00000

Jose sells all of his shares at $128.34. How much money did Jose make?OA. $192.50
OB. $207.20
C. $224.60
OD. $212.50

Answers

Final answer:

To calculate how much money Jose made from selling his shares, we need to know the number of shares he sold.


Explanation:

To calculate the amount of money Jose made, we need to know the number of shares he sold. Let's say he sold x number of shares. Since he sold all of his shares at $128.34 per share, the total amount of money he made can be calculated by multiplying the price per share by the number of shares: $128.34 * x = total amount made. Without knowing the number of shares, we cannot determine the exact amount Jose made.


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How to estimate the quotient of 49.3 divided by 6

Answers

that would be 8 because the answer is 8.21 and you round down to 8

Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that Rn(x) ? 0.]f(x) = 10/x , a= -2f(x) = \sum_{n=0}^{\infty } ______Find the associated radius of convergence R.R = ______

Answers

Rewrite f as

f(x)=\frac{10}x=-\frac5{1-\frac{x+2}2}

and recall that for |x|<1, we have

\displaystyle\frac1{1-x}=\sum_(n=0)^\infty x^n

so that for \left|\frac{x+2}2\right|<1, or |x+2|<2,

f(x)=-5\displaystyle\sum_(n=0)^\infty\left(\frac{x+2}2\right)^n

Then the radius of convergence is 2.

Final answer:

The Taylor series for the function f(x) = 10/x, centered at a = -2, is given by the formula  ∑(10(-1)^n*n!(x + 2)^n)/n! from n=0 to ∞. The radius of convergence (R) for the series is ∞, which means the series converges for all real numbers x.

Explanation:

Given the function f(x) = 10/x, we're asked to find the Taylor series centered at a = -2. A Taylor series of a function is a series representation which can be found using the formula f(a) + f'(a)(x-a)/1! + f''(a)(x-a)^2/2! + .... For f(x) = 10/x, the Taylor series centered at a = -2 will be ∑(10(-1)^n*n!(x + 2)^n)/n! from n=0 to ∞. The radius of convergence R is determined by the limit as n approaches infinity of the absolute value of the ratio of the nth term and the (n+1)th term. This results in R = ∞, indicating the series converges for all real numbers x.

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What is the point on the unit circle for the angle below?

Answers

Answer:

xcvbnm

Step-by-step explanation:

n

A presidential candidate plans to begin her campaign by visiting the capitals in 4 of 42 states. What is the probability that she selects the route of four specific​ capitals? Is it practical to list all of the different possible routes in order to select the one that is​ best?P(she selects the route of four specific ​capitals): _____.
Is it practical to list all of the different possible routes in order to select the one that is​ best?
A.
​Yes, it is practical to list all of the different possible routes because the number of possible permutations is very small.
B.
​Yes, it is practical to list all of the different possible routes because the number of possible permutations is very large.
C.
No, it is not practical to list all of the different possible routes because the number of possible permutations is very small.
D.
No, it is not practical to list all of the different possible routes because the number of possible permutations is very large.

Answers

Answer:

P (She selects the route of four specific capitals) = (1)/(2686320)=(3.7226)10^(-7)

D. No,it is not practical to list all of the different possible routes because the number of possible permutations is very large.

Step-by-step explanation:

Let's start assuming that each route is equally likely to be chosen.

Assuming this, we can calculate P(A) where the event A is ''She selects the route of four specific capitals'' doing the following :

P(A) = Favourable cases in which the route of four specific capitals is selected / Total number of ways in 4 of 42 states

The favourable cases in which the route of four specific capitals is selected is equal to 1 .

For the denominator we need the permutation number of 4 in 42.

The permutation number is defined as :

nPr=(n!)/((n-r)!)

42P4=(42!)/((42-4)!)=(42!)/(38!)=2686320

The probability of event A is : (1)/(2686320)=(3.7226)10^(-7)

Finally for the other question : The option D is the correct because the number of possible permutations is 2686320 and is very large to be listed.