Factor completely 36x2 + 6x - 6

The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

Where, we have

f(x) = 10ˣ

g(x)= f(2x) = 10²ˣ

So, we have

Horizontal factor = 2x/x

Evaluate

Horizontal factor = 2

This means that the transformation of f(x) to g(x) is (a) f(x) is stretched horizontally by a factor of 2 to g(x).

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Question

Consider the function f(x)= 10^x and the function g(x), which is shown below.

How will the graph of g(x) differ from the graph of f(x)?

g(x)= f(2x) = (10)^2x

Answer:

x = (8+y)/3

Step-by-step explanation:

3x-y=8

Add y to each side

3x-y+y=8+y

3x = 8+y

Divide each side by 3

3x/3 = (8+y)/3

x = (8+y)/3

Answer:

Step-by-step explanation:

3x = y - 8

x = y/3 + 8/3

The gage pressure in bars needed to pressurize the airplane to simulate sea level conditions is approximately `0.26366 bar`.

The pressure in an airplane is determined by the altitude above the sea level and the atmospheric pressure.

The following relation is used to determine the pressure, `P` at a given altitude, `h` above the sea level where `P_0` is the atmospheric pressure at sea level,`R` is the specific gas constant, and `T` is the temperature in Kelvin.`P=P_0e^(-h/RT)`Here, `P_0=1.01325*10^5 Pa`, the atmospheric pressure at sea level,`h=35,000 ft=10,668m`.

We can convert the altitude from feet to meters by using the following conversion factor:1 foot = 0.3048 meter.So, 35000 feet = 10668 m. `R=287 J/(kgK)` (for dry air). `T=273+20=293K` (assuming a standard temperature of 20°C at sea level)

Now, we can substitute all these values in the formula and calculate the pressure. `P=P_0e^(-h/RT)P=1.01325*10^5 e^(-10,668/287*293)`P = 26,366 Pa or 0.26366 bar

Therefore, the gage pressure in bars needed to pressurize the airplane to simulate sea level conditions is approximately `0.26366 bar`.

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Answer:

moonano

Step-by-step explanation:

The probability when the value of W = 1 is 0.1 , probability when the value of W = 10 is 0.2 and probability when the value of W = 25 is 0.7  .

In the question ,

the marked price slips are $1, $1, $1, $10 and $25 .

If the winner selects two slips of paper, then the possible outcomes would be ,

total number of slips is = 5 ,

Total number of cases possible = ⁵C₂ = 10

There would be only 1 case in which the winner will win $1

that means when both the slips selected has $1.

So, P(Winning $1) = 1/10 = 0.1

the number of cases to win $10 is {(1,10) , (10,1)}

So , P(Winning $10) is

= 2/10 = 0.2

So , P(Winning $25) is

= 1 - (0.1 \(+\) 0.2)

= 0.7

Therefore , the required probability P(Winning $1) = 0.1 , P(Winning $10) = 0.2 and P(Winning $25) = 0.7

The given question is incomplete , the complete question is

A box contains five slips of paper, marked $1, $1, $10, $25, and $25. The winner of a contest selects two slips of paper at random and then gets the larger of the dollar amounts on the two slips. Define a random variable w by w = amount awarded. Determine the probability distribution of w. (Hint: Think of the slips as numbered 1, 2, 3, 4, and 5, so that an outcome of the experiment consists of two of these numbers.)

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Check the picture below.

Answer:

70.8

Step-by-step explanation:

The rent Dan pays now is £214.5

Percentage decrease is the difference between starting and ending values. It shows a loss of value from the original expressed as a percentage regardless of units. The amount of decrease is the original amount minus the final amount.

For example, if you spent $200 to heat your home last month, but only $140 this month, the cost has decreased by $60. Therefore percentage increase= 60/200×100= 30%

Similarly 2.5=(220-x)/220 ×100

x is the new rent of Dan

2.5×220=( 220-x)100

550= ( 220-x)100

divide both sides by 100

5.5= 220-x

therefore x= 220-5.5= £214.5

therefore Dan's new rent is £214.5

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We witnessed that the economy has moved from its initial short-run equilibrium to a new long-run equilibrium, where the price level has stabilized despite the changes in aggregate demand and short-run supply.

Suppose the price level remains constant despite the initial shift of the AD (Aggregate Demand) curve to the right, followed by the leftward shift of the SRAS (Short-Run Aggregate Supply) curve. In that case, it suggests that the economy has experienced a change toward long-run equilibrium.

The initial shift of the AD curve to the right causes an increase in both output and the price level. However, the subsequent leftward shift of the SRAS curve indicates that in the short run, the price level has led to higher costs for businesses, potentially due to factors such as increased wages or input prices.

As a result, with a leftward shift in the SRAS curve, the output level decreases, and the price level rises further. However, if the price level remains constant after this adjustment, it suggests that the economy has reached a new equilibrium point where aggregate demand and short-run aggregate supply are once again balanced.

In short, witnessing a constant price level after the initial shifts in the AD and SRAS curves implies that the economy has moved from its initial short-run equilibrium to a new long-run equilibrium, where the price level has stabilized despite the changes in aggregate demand and short-run supply.

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Answer:

  (c)  x² -64

Step-by-step explanation:

The factoring of the difference of squares is one of the special forms we use in the study of polynomials. It tells you ...

  a² -b² = (a +b)(a -b)

__

You have a factor (x +8), so a=x, b=8, and the "expanded" form is ...

  a² -b² = x² -8² = x² -64

Answer:

x^2-64

Step-by-step explanation:

just did the test

Answer:

181.65 miles for 10.5 gallons of gas

Step-by-step explanation:

Answer:

you need to multiply the two numbers given and should get 181.65

Step-by-step explanation:

17.3*10.5= 181.65

Answer:

The answer is B

Step-by-step explanation:

I got a 100% on the quiz

Answer:

B - Initially there were 1,000 bacteria; the population will not reach 0

Explanation:

Edg2020

15y - 9 < 36

add 9 to both-side of the equation

15y < 36 + 9

15y < 45

Divide both-side of the equation by 15

y < 3

Answer:

Quadrant 1

Step-by-step explanation:

Quadrant 1 has positive x and y.

Answer:

lol thanks for the free points

Step-by-step explanation:

Answer:

Exposed UwU

Have a great day

A type II error is a statistical term used to describe the failure to reject a false null hypothesis. It occurs when the null hypothesis is actually false but is not rejected because the statistical test failed to find significant evidence against it.

In other words, it happens when an alternative hypothesis is true, but we fail to reject the null hypothesis.

Types of errors in hypothesis testing

There are two types of errors in hypothesis testing:

Type I error: Rejecting a true null hypothesis

Type II error: Failing to reject a false null hypothesis.Type I error occurs when a true null hypothesis is rejected while Type II error occurs when a false null hypothesis is not rejected. These types of errors are inversely related, meaning that a decrease in one type of error causes an increase in the other.

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Answer:

3√2

Step-by-step explanation:

First, combine all the numbers in the square root, and then square root the number provided:

√(3 + 3 + 3 + 3 + 3 + 3) = √18

When square rooting, first, find prime factors of the number, 18. If there are pairs, they will be combined into a whole number:

√18 = √(3 * 3 * 2) = 3√2

3√2 is your answer.

~

Answer:

0.040 "<" 0.207

Step-by-step explanation:

0.040

0.207

We can see that there is a 2 in 0.207 in the tenths spot, which automatically makes it larger than 0.040.

Write an inequality using the "<" sign:

0.040 < 0.207.

Hope this helps!

The expression equivalent to the given expression  -2(3x + 5y) is

given that

-2(3x + 5y)

expanding the parenthesis

-6x - 10y = 0

10y = 6x

y = 6x/10

y = 3x / 5

we can conclude that y = 3x/5 is equivalent to  -2(3x + 5y)

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Answer:

you have to isolate the variable

Step-by-step explanation:

7k-14=42

+14    +14

7k=56

7k/7+56/7

k=8

: )

The correct conclusion that can be drawn from the circle graph is given as follows:

Together, Walk and Streetcar are the preferred transportation for 165 residents.

A circle graph, also known as a pie chart, is used to represent data as a circle divided into sectors, where each sector represents a portion of the whole. The size of each sector is proportional to the percentage of the whole that it represents.

Out of 300 residents, the percentages and amounts are given as follows:

Hence the last option gives the correct option in the context of the problem.

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The ty plane the hypothesis of theorem are satisfied

The hypothesis of a theorem is a statement or assumption that is made in order to prove a mathematical result.

The hypothesis of the Tychonoff theorem is satisfied in a variety of different spaces, including compact spaces and metrizable spaces.

This theorem is important because it provides a useful tool for understanding the properties of topological spaces, which are spaces that have certain structures that allow for the study of continuous functions and mappings.

In summary, the hypothesis of the Tychonoff theorem is a necessary condition for the theorem to be proven and is satisfied in a variety of different spaces.

Understanding the hypothesis and the spaces in which it is satisfied is crucial for understanding the theorem and its applications in mathematics.

Complete Question:

State where in the ty-plane the hypotheses of Theorem

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Answer:

1/9, 2/9, 3/9, 4/9, 1/8, 2/8, 3/8, 1/7, 2/7, 3/7, 1/6, 2/6, 1/5, 2/5, 1/4, 1/3.

Step-by-step explanation:

hope this helps,

The perimeter of the triangle is 170 inches.

To solve for the perimeter, we first need to find the length of the perpendicular height. We can do this using the sine function:

sin(35°) = 46/x

x = 46/sin(35°) = 65 inches

Now that we know the length of the perpendicular height, we can find the length of the base of the triangle using the cosine function:

cos(35°) = 65/x

x = 65/cos(35°) = 75 inches

The perimeter of the triangle is the sum of the lengths of the three sides, so the perimeter is:

P = 65 + 75 + 30

= 170 inches

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Answer:

3648 Freshmen students major in economics.

Step-by-step explanation:

This is done by taking the whole class (4800) and multiply it by the percentage (.76 ((converted to decimal))) to get the amount.

Answer:

y = 6x -7

Step-by-step explanation:

1. The equation of any line in slope-intercept form is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

2. Given that the slope is 6, we plug that value in m, and given that the y-intercept is -7, we plug that value in b:

Answer:

<

Step-by-step explanation:

8x-2 - -4x2< 4+10

-16+8<4+10

-8<14

9514 1404 393

Answer:

  8×(−2)−(−4)^2 < 36÷9+2×5

Step-by-step explanation:

The left side expression evaluates as ...

  8×(−2)−(−4)^2

  = 8×(−2) − 16

  = -16 -16

  = -32

__

The right side expression evaluates as ...

  36÷9+2×5

  = 4 + 10

  = 14

__

It should be no mystery that any negative number is less than any positive number:

  -32 < 14

  8×(−2)−(−4)^2 < 36÷9+2×5 . . . . . . . . "less than" symbol is required

The value of the account is $165,627.27.

After a certain number of years, the value of an investment account is represented by the expression 10,300(1 + 0.0412)^120. Given expression: 10,300(1 + 0.0412)^120Adding 1 to 0.0412, we get 1.0412. Now, the expression becomes:

=10,300 × 1.0412^120

Using a scientific calculator or spreadsheet software, we can evaluate this expression to get the value of the account as approximately $165,627.27. Therefore, the value of the account is $165,627.27.

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