2. When 9 is added to the number that is produced by tripling the number x, the result is
equal to 6 times the number that is 3 less than x. Write an equation to represent the
situation and use it to find the value of x.

Answer:

The answer is B

Step-by-step explanation:

Answer:

$ 30

$ 20

Step-by-step explanation:

Sea el costo fijo xy el costo por km sea y suponiendo que es el mismo para ambos taxis.

De la pregunta obtenemos las dos ecuaciones

[tex]x+8y=190\quad ...(i)[/tex]

[tex]x+5y=130\quad ...(ii)[/tex]

Aplicando [tex](i)-(ii)[/tex]

[tex]8y-5y=190-130\\\Rightarrow 3y=60\\\Rightarrow y=\dfrac{60}{3}\\\Rightarrow y=20[/tex]

Sustituyendo en [tex](ii)[/tex]

[tex]x+5y=130\\\Rightarrow x+5\times 20=130\\\Rightarrow x=130-100\\\Rightarrow x=30[/tex]

Entonces, el costo fijo es de $ 30 y el costo por km es de $ 20.

Answer:

0.08

Step-by-step explanation:

4/25^1/2 = 0.08

The roots of the polynomial function f(x) = x³ - 3x² + 2 are [tex]\frac{2-\sqrt{12} }{2}, \frac{2+\sqrt{12} }{2}, \ and \ 1[/tex].

Given the polynomial function in the question:

f(x) = x³ - 3x² + 2

To find the roots of the polynomial function f(x) = x³ - 3x² + 2, we need to solve for values of x that make the function equal to zero.

f(x) = x³ - 3x² + 2

x³ - 3x² + 2 = 0

Factor the equation using the rational root test:
( x - 1 )( x² - 2x - 2 ) = 0

Equate each factor zero and solve for x:

( x - 1 ) = 0

x - 1 = 0

x = 1

( x² - 2x - 2 ) = 0

x² - 2x - 2 = 0

Using the quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a} \\\\x = \frac{-(-2)\±\sqrt{(-2)^2 - 4(1*-2)} }{2*1} \\\\x = \frac{2\±\sqrt{4 + 8} }{2} \\\\x = \frac{2\±\sqrt{12} }{2}\\\\Hence:\\\\x = \frac{2-\sqrt{12} }{2}, \frac{2+\sqrt{12} }{2}[/tex]

Therefore, the roots are [tex]x = \frac{2-\sqrt{12} }{2}, \frac{2+\sqrt{12} }{2}, 1[/tex].

Options A, B and D are the correct answers.

Learn more about quadratic equations here: brainly.com/question/1863222

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Answer:

The variance is doubled; C

Step-by-step explanation:

Here, we want to select what will be wrong if every number in the dataset is doubled

A. This is correct

The mean is the average of the numbers which is calculated by dividing the sum of the numbers by the count of the numbers

By doubling the numbers, we have simply doubled the sum while the count is same

So what we have as the result of the division will be 2 times what we had initially making the mean doubled

B. The mode is doubled

Yes, this is correct

The mode is the highest in frequency

Doubling all numbers will not double their frequencies but their values. So the number that was the mode in the previous case will be the same but now doubled

D. The median is doubled

This is correct

The median deals with the middle number.

Since all numbers are doubled in the present case, the median to is also doubled along side as the numbers are now twice what they were evenly

C. This is wrong

The variance has to do with the spread of data

We are actually subtracting values

Since we are doubling across board, the difference between the numbers is the same as this, the variance cannot change

We can look at this from the angle that all others are measures of central tendency looking at having a central figure while the variance is a measure of spread.

Answer:

W = x^2 - 2yz / - w

0 = x^2 - 2yz - w / +2yz

2yz = x^2 - w // 2z

y = (x^2 -w ) / 2z

So correct answer is D

Answer:

5

Step-by-step explanation:

16÷3=5r1. Hope this helps

[tex]y=3x[/tex]

The input is classified as x term

The output is classified as y term.

If the input is -4 then

Substitute x = -4 in y = 3x

[tex]y=3(-4)\\y=-12[/tex]

Therefore, the answer is -12 aka the first choice.

Answer:

the square root of 121 is 11

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(4×4×4)(3×3×3)(1×1×1) Cubic feet

Answer:

First one

Step-by-step explanation:

Y=1/2x+4

Answer:

81

Step-by-step explanation:

y= x²

if x= 9 substitute x with 9 in the equation

y= 9² = 81

Answer;

he missed 4 of his shots

Step-by-step explanation:

Answer:

Step-by-step explanation:

i=prt

your p=30 dollars

rate is 10%

t=1 year

i=(30*0.01*1)=3

3 dollars

Answer:

-6

Step-by-step explanation:

Answer:

its b for the both of them

Answer:

two

Step-by-step explanation:

Answer:

c^2 = a^2 + b^2 - 2ab cos(C)

Step-by-step explanation:

The angle at A is named A, the angle at B is named B, and the angle at C is named C

Answer:

Organize

Step-by-step explanation:

Answer:

y-intercept: 12

x-intercept: unknown

Step-by-step explanation:

I think you meant y=-32x+12.

Answer:

ACB:64   ACD:116  GFH:64  EFG:26

Step-by-step explanation:You could see how the angles are located.

Answer:

A ) Adjacent  and supplementary  B) Adjacent n neither C) is the same as A D) Non adjacent n complementary

Step-by-step explanation:

The Small arrow is Non adjacent or adjacent and under the big one is complementary, supplementary or neither

1. Write the equation that represents the data set for Crew A using the variables E for earnings and h for hours.

120e/1h

2. Write the equation that represents the data set for Crew B using the variables E for earnings and h for hours.

105e/1h

Answer:

-2/3

Step-by-step explanation:

Answer:

n<30

Step-by-step explanation:

have a great day

Answer:

The first one and the second one

Step-by-step explanation:

I hope that this helped