Which expression is equivalent to the following expression: 15 + 6x A. 3(5 +2x) B. 3(5 + 6x) C. 21x D. 15(6x)​

The system of the equations that has a solution of (-2, 0, 1) will be x + y + z = -1, x + y + 2z = 0, and x + 2y + 3z = 1.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The system of the equations that has a solution of (-2, 0, 1) will be

Let the number of variables be x, y, and z.

Then we have

Then the first equation will be

x + y + z = -1

Then the second equation will be

x + y + 2z = 0

Then the third equation will be

x + 2y + 3z = 1

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

Answer:

5^3 = 125

Step-by-step explanation:

5^3

5 x 5 x 5

=125

Answer:

[tex]5^{3} = 125[/tex]

Step-by-step explanation:

Mark me brainllest

9514 1404 393

Answer:

  90°

Step-by-step explanation:

The inscribed angle is half the measure of the arc it subtends. A semicircle is an arc of 180°. Half that is 90°.

  ? = 90°

Answer:

A = $10,441.68

A = P + I where

P (principal) = $10,400.00

I (interest) = $41.68

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 0.02/100

r = 0.0002 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 10,400.00(1 + 0.0002/2)(2)(20)

A = 10,400.00(1 + 0.0001)(40)

A = $10,441.68

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.

The total amount , with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest =[tex]P(1+r/n)^rt[/tex]

Given that

A = $10,441.68

A = P + I

P (principal) = $10,400.00

I (interest) = $41.68

First, we need to convert R as a percent to r as a decimal

r = R/100

r = 0.02/100

r = 0.0002 rate per year,

Then we will solve the equation for A

A = [tex]P(1+r/n)^rt[/tex]

[tex]A = 10,400.00(1 + 0.0002/2)^{(2)(20)}[/tex]

A = 10,400.00(1 + 0.0001)

A = $10,441.68

Hence, The total amount , with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.

Learn more about interest here;

https://brainly.com/question/1548909

#SPJ2

Answer:

[tex]96 - 14[/tex]

Step-by-step explanation:

Given

[tex]Digits: 6\ 1\ 9\ 4[/tex]

Required

Fill in the blanks to get the largest subtraction

The largest subtraction is the difference between the highest possible value and the least possible value.

From the 4 given digits.

We have:

[tex]Highest = 96[/tex]

[tex]Least = 14[/tex]

So, the blanks become:

[tex]96 - 14[/tex]

And the difference is:

[tex]82[/tex] --- possible largest

Answer:

19.1 miles

Step-by-step explanation:

The situation given represents a right triangle.

Thus, we would use trigonometric function to find how far north the boat travelled.

Let's represent how far the boat travelled north with "x".

Thus:

Reference angle = 23°

Opposite = x

Adjacent = 45 miles

Apply TOA:

Tan 23° = Opp/Adj

Tan 23° = x/45

Multiply both sides by 45

45 × Tan 23° = x

x = 45 × Tan 23°

x = 19.1013667

x = 19.1 miles (nearest tenth of a mile)

Answer:

d=11.2

Step-by-step explanation:

[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} \\ }[/tex]

[tex]d=\sqrt{(6-(-4)^{2}+(-3-2)^{2} }[/tex]

[tex]d=\sqrt{10^{2}+5^{2} }[/tex]

[tex]d=\sqrt{100+25}[/tex]

[tex]d=\sqrt{125}[/tex]

[tex]d=11.18[/tex]

[tex]d=11.2[/tex]

Answer:(125-81.25)/125 = 0.35 = 35%

Step-by-step explanation:

Answer: 90 degrees to 120

Step-by-step explanation:

The probability of a temperature from 90 degrees to 120 degrees.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Experiment: A trial or an operation conducted to produce an outcome is called an experiment.

Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.

Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).

Trial: A trial denotes doing a random experiment.

Given:

Temperatures from 60 degrees to 160 degrees.

As, per the situation the probability will lie between 60 degree to 160 degree.

Hence, The probability of a temperature from 90 degrees to 120 degrees.

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ2

Answer: 2756 cubic inches

Step-by-step explanation:

Well, first calculate the rectangular prism: 11 x 11 x 16 = 2304

Then the cylinder: pi x 4(sqrd) x 9 = about 452

then add them together

I hope this helps! :)

Answer:

48

Step-by-step explanation:

Answer:

here's the graph

Step-by-step explanation:

Answer:

the answer would be the second one

Answer:

Second choice

Step-by-step explanation:

18=2x9

9=3^2

X^7=(x)x^6)

root 18x^7

=3x^3root 2x

Answer:

X = 5.9 (in degree mode)

Step-by-step explanation:

Do the following:

12(tan26) = X

Plugging this into a calculator, you will get:

X = 5.9 (in degree mode)

Answer:

[tex]\sqrt{43}[/tex]

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The ratios of side lengths in a 30°-60°-90° triangle are ...

  1 : √3 : 2

In the same order, the given side lengths are ...

  y : 9√3 : x

Comparing these two sets of ratios, we see that we can make the first equal to the second by multiplying by 9:

  9(1) : 9√3 : 9(2) = y : 9√3 : x

Then y = 9·1 = 9, and x = 9·2 = 18.

The missing side lengths are x = 18, y = 9.

Answer: 6 tenths

Step-by-step explanation:

3/5 = 6/10 (multiply by 2)

Answer:

C

Step-by-step explanation:

Supplementary angles because their sum is 180 degrees

Answer:

1086ft squared

Step-by-step explanation:

Step-by-step explanation:

the last one is the answer

Answer:

We are missing a picture, we can't see the dilation they are referring to. The photo is just showing the answer options, so without the dilation it can't be answered.

Step-by-step explanation:

9514 1404 393

Answer:

  1. f^-1(x) = 4/(x+2) -2

  2. f^-1(x) = (-(x+3)/2)^(1/5)

Step-by-step explanation:

1. As with all "inverse function" problems, solve for y:

  x = f(y)

  x +2 = 4/(y +2) . . . . add 2

  y +2 = 4/(x +2) . . . . . multiply by (y+2)/(x+2)

  y = 4/(x+2) -2 . . . . . subtract 2

We see that this function is its own inverse. The attached graph shows it is symmetrical about the line y=x.

  f^-1(x) = 4/(x+2) -2

__

2. x = f(y)

  x +3 = -2y^5 . . . . add 3

  -(x +3)/2 = y^5 . . . . . divide by 2

  (-(x +3)/2)^(1/5) = y . . . . take the 5th root

  f^-1(x) = (-(x +3)/2)^(1/5)

In typeset form, that is ...

  [tex]\displaystyle f^{-1}(x)=\sqrt[5]{\frac{-(x+3)}{2}}\\\\\text{or}\\\\f^{-1}(x)=-\frac{1}{2}\sqrt[5]{16x +48}[/tex]

This last version is with the denominator "rationalized" and the contents of the radical "simplified." It may be a preferred form.

_____

The graphs show the function and inverse are symmetrical about the line y=x, as they should be.

Answer:

5

Step-by-step explanation:

It is 5 because she originally had 13. There are 5 types of dogs she was dog-sitting. There are 5 possible types of dogs that ran away.

Answer:

x = 1

y . =2

slope =

[tex]\frac{y}{x} \\\\\frac{2}{1} \\\\Slope = 2[/tex]

Step-by-step explanation:

Answer:

arc AB = 3.14 in

Step-by-step explanation:

circumference of full circle = π2r = (3.14)(2)(6) = 37.68 in

arc AB = (30°/360°)(37.68) = 3.14 in

Answer:

Step-by-step explanation:

Base perimeter : 4 x 2 x π = 8π cm

LA = 8π x 4 = 32π cm^2

Base area: 4^2 π = 16π cm^2

SA = 2 x 16π + 32 = 64π cm^2

V = 16π x 4 = 64π cm^3