Select the correct answer. The four graphs represent the transformation of f of x and g of x functions. Graph A shows f of x-intercepts the x-axis at 1 and y-axis at minus 0, and g of x function passing through the origin. Graph B shows that f of x-intercepts the x-axis The parent function f(x)=^3/x-1 is transformed to g(x)=^3/-x-1 Which graph correctly shows the functions f(x) and g(x)? A. A B. B C. C D. D

Answer:

x - 4 yards.

Step-by-step explanation:

Given:

Area of rectangle = 3x^2 - 12x square yards

Width = 3x yards

To find:

Length of rectangle

Solution:

The area of a rectangle is equal to the product of its length and width.

Area of rectangle = Length * Width

Substituting the given values, we get:

3x^2 - 12x = Length * 3x

Length =( 3x^2 - 12x )3x

Length = x-4

Therefore, the length of the rectangle is x - 4 yards.

Answer: The length of the rectangle is x - 4 yards.

Step-by-step explanation:

We can create an equation to solve this word problem, where the variable L = length.

3x  ×  L  = \(3x^2 - 12x\)

We need to solve for the variable L, to find the length of the rectangle.

First lets factor the right side of the equation to make it easier to divide with.

3x  ×  L  = \(3x^2 - 12x\)

We can factor out 3x from the right side of the equation.

3x  ×  L  = 3x(x - 4)

Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.

3x ×  L  = 3x(x - 4)

/3x           /3x

L = x - 4

The length of the rectangle is x - 4 yards.

Answer:

i don't have any paper by me but it would be the line starting on 2 on the Y axis (line that goes up and down) and then going diagonal by one square (essentially up one unit and right one unit)

Step-by-step explanation:

2+x is basically x+2

since x is by itself in slope form is represents 1/1 as a fraction, and in slope form 2 represents the Y axis

did my best to explain sorry hope this helped!!

Answer: D

Step-by-step explanation:

1.)

a. The probability that a randomly selected value will be greater than 1,550 is 0.0026 or about 0.26%.
b. The probability that a randomly selected value will be less than 1,430 is 0.00005 or about 0.005%.

c. The probability that a randomly selected value will be between 1,380 and 1,620 is approximately 1 or 100%.

d. The lowest value of the upper 35% of the random variable is approximately 1,507.93.

2.)

a. The area below 80 is approximately 0.6293 or 62.93%.

b. The area below 95 is approximately 0.9082.

c. The area below 68 is approximately 32.12%.

d. The area below 99 is approximately 5.48%.

What is probability?

In mathematics, probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain.

1)

a. We need to find the probability that a randomly selected value will be greater than 1,550. We can use the standard normal distribution to calculate this probability. First, we need to standardize the variable X using the formula:

Z = (X - μ) / σ

where X is the variable, μ is the mean, and σ is the standard deviation.

So,

Z = (1550 - 1500) / 18 = 2.78

Using a standard normal distribution table or calculator, we find that the probability of a Z-score being greater than 2.78 is approximately 0.0026.

Therefore, the probability that a randomly selected value will be greater than 1,550 is 0.0026 or about 0.26%.

b. Similarly, we can find the probability that a randomly selected value will be less than 1,430 by standardizing the variable and using the standard normal distribution table or calculator.

Z = (1430 - 1500) / 18 = -3.89

Using the standard normal distribution table or calculator, we find that the probability of a Z-score being less than -3.89 is approximately 0.00005.

Therefore, the probability that a randomly selected value will be less than 1,430 is 0.00005 or about 0.005%.

c. To find the probability that a randomly selected value will be between 1,380 and 1,620, we first need to standardize the variables.

Z1 = (1380 - 1500) / 18 = -6.67

Z2 = (1620 - 1500) / 18 = 6.67

Using the standard normal distribution table or calculator, we find the probability of a Z-score being less than -6.67 is very close to 0 and the probability of a Z-score being greater than 6.67 is also very close to 0. Therefore, the probability of a Z-score being between -6.67 and 6.67 is approximately 1.

Therefore, the probability that a randomly selected value will be between 1,380 and 1,620 is approximately 1 or 100%.

d. We need to find the lowest value of the upper 35% of the random variable. To do this, we need to find the Z-score that corresponds to the 65th percentile (since the upper 35% is the complement of the lower 65%).

Using the standard normal distribution table or calculator, we find that the Z-score corresponding to the 65th percentile is approximately 0.385.

So,

0.385 = (X - 1500) / 18

Solving for X, we get:

X = 1500 + (0.385 x 18) = 1507.93

Therefore, the lowest value of the upper 35% of the random variable is approximately 1,507.93.

2.)

a. The standard value for X = 80 can be calculated as follows:

Z = (X - μ) / σ

Z = (80 - 75) / 15 = 0.33

The area below 80 can be found using the standard normal distribution table or calculator.

P(Z < 0.33) = 0.6293

Therefore, the area below 80 is approximately 0.6293 or 62.93%.

b. For X = 95, we can calculate the standard value and find the area below 95 using the same method as in part (a).

Z = (95 - 75) / 15 = 1.33

Using a standard normal distribution table or calculator, we can find the area below 95 to be approximately 0.9082. Therefore, the answer is:

b. The area below 95 is approximately 0.9082.

c. For X = 68, we can calculate the standard value and find the area above 68 as follows:

Z = (68 - 75) / 15 = -0.47

Using a standard normal distribution table or calculator, we can find the area above -0.47, which is equivalent to the area below 0.47, as 0.3212 or approximately 32.12%.

d. For X = 99, we can calculate the standard value and find the area above 99 as follows:

Z = (99 - 75) / 15 = 1.6

Using a standard normal distribution table or calculator, we can find the area above 1.6 as 0.0548 or approximately 5.48%.

Hence,

1.)

a. The probability that a randomly selected value will be greater than 1,550 is 0.0026 or about 0.26%.
b. The probability that a randomly selected value will be less than 1,430 is 0.00005 or about 0.005%.

c. The probability that a randomly selected value will be between 1,380 and 1,620 is approximately 1 or 100%.

d. The lowest value of the upper 35% of the random variable is approximately 1,507.93.

2.)

a. The area below 80 is approximately 0.6293 or 62.93%.

b. The area below 95 is approximately 0.9082.

c. The area below 68 is approximately 32.12%.

d. The area below 99 is approximately 5.48%.

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The measure of the missing side length x in the right triangle is 1.5.

The figure in the image is a right triangle having one of its interor angle at 90 degree.

From the diagram;

Let angle θ = 30 degree

Opposite angle θ = x

Hypotenuse = 3

To solve for the missing side length x, we use the trigonometric ratio.

Note that: sine = opposite / hypotenuse

Hence:

sin( θ ) = opposite / hypotenuse

Plug in the values:

sin( 30 ) = x / 3

x = sin( 30 ) × 3

x = 1.5

Therefore, the value of x is 1.5.

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Answer:

We conclude that \(\sqrt{5}, \sqrt{5},\sqrt{10}\) is an isosceles right triangle.

Step-by-step explanation:

Given the sides of a triangle

\(\sqrt{5}, \sqrt{5},\sqrt{10}\)

Given that the two sides are equal. Thus, it must be an isosceles triangle.

Let us check whether it is an isosceles right triangle or not.

We know that for a right-angled triangle with sides a, b and the hypotenuse c is defined as:

\(c=\sqrt{a^2+b^2}\)

Given

\(a=\sqrt{5}\)

\(b=\sqrt{5}\)

now substituting \(a=\sqrt{5}\) and \(b=\sqrt{5}\) in the equation

\(c=\sqrt{a^2+b^2}\)

\(c=\sqrt{\left(\sqrt{5}\right)^2+\left(\sqrt{5}\right)^2}\)

\(c=\sqrt{10}\)

Thus,

\(a=\sqrt{5}\)

\(b=\sqrt{5}\)

\(c=\sqrt{10}\)

Which satisfies the given side lengths \(\sqrt{5}, \sqrt{5},\sqrt{10}\)

Therefore, we conclude that \(\sqrt{5}, \sqrt{5},\sqrt{10}\) is an isosceles right triangle.

We are given a problem that can be solved by a system of equations. Let N be the number of nickels, D the number of dimes, and Q the number of Quarters. Since in total he has 4.2, this means mathematically:

We are told that he has 6 more dimes than nickels, this can be written like this:

We are told that he has three-time Quarters than nickles, this is:

Now, if we replace equation (2) and (3) in equation (1), we get:

Solving for N, we get;

Replacing the value of N in equation (2), we get:

Now we replace the value of N in equation (3):

Therefore, he has, 0.42 in nickels, 2.52 in dimes, and 1.26 in quarters.

Answer:

B

Step-by-step explanation:

|X|= the absolute value of a number regardless of whether the number is negative or positive

Answer:

The rate of change is 10%

Step-by-step explanation:

The computation of the rate of change is as follows:

Given that as on Jan 15, the snow pack is 150 inches

And, the last year, it would decrease by 11 inches a week after jan 15

So, the rate of change is

= 15 ÷ 150

= 10%

The exponential function \(Y=21{(1.44)}^x\) represents growth when x ∈ N.

The formula for exponential growth is \(y = y_0.e^{(kt)}.\)

The formula for exponential decay is \(y = y_0.e^{(-kt)}.\).

Given, An exponential function \(Y=21{(1.44)}^x\).

Now, This function can represent growth or decay depending upon the values of 'x'.

If x ∈ N, Then this exponential function \(Y=21{(1.44)}^x\) represents growth.

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Answer:

In order to find the probability that a pupil selected at random obtained more than 27 marks, we need to know the total number of pupils and the number of pupils who scored more than 27 marks.

Let's call the total number of pupils "n" and the number of pupils who scored more than 27 marks "x".

From the given data, we know that n = 6 and the pupils who scored more than 27 marks are 39, 40, 37.

x = 3

Now we can use the formula for probability:

Probability = (x/n)

Probability = (3/6)

Probability = 0.5

So the probability that a pupil selected at random obtained more than 27 marks is 0.5 or 50%.

Step-by-step explanation:

Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

Answer:

$38.25

Step-by-step explanation:

45 × 0.15 = 6.75

45 - 6.75 = 38.25

The sale price of the item will be $38.25

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that a store is having a sale. All items for sale are discounted by 15%. the regular price of a bedspread is $45,

The discounted price will be calculated as:-

45 × 0.15 = 6.75

45 - 6.75 = $38.25

Therefore, the sale price of the item will be $38.25

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The inequality relation  -q > -7  can be represented in the form of q as q < 7

The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be A

The value of A is - q > - 7

Now , multiplying by (-1) on both sides of the equation , we get

( -1 ) ( -q ) > ( -1 ) ( - 7 )

The inequality relation will change the sign from > to < and ,

q < 7

So , the value of the inequality relation A is q < 7

Now , all the values in the number line which satisfy the inequality equation q < 7 are given in set A

The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

Hence , The inequality relation  -q > -7  can be represented in the form of q as q < 7 and numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

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A digit to make the number divisible by 3 is by adding the digit 2 to the number 1234.

To make the number 1234 divisible by 3, we can find the sum of its digits and determine if it is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3.

Let's calculate the sum of the digits in 1234:

1 + 2 + 3 + 4 = 10

The sum of the digits is 10. Since 10 is not divisible by 3, we need to add or subtract a digit to make the sum divisible by 3.

To find the digit we need to add or subtract, we can use the fact that the difference between the original sum and the next multiple of 3 is the required digit.

The next multiple of 3 greater than 10 is 12 (12 - 10 = 2). Therefore, we need to add 2 to the number 1234 to make it divisible by 3.

1234 + 2 = 1236

we obtain the number 1236, which is divisible by 3.

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You can simply do .49 because it is 49% of 100%.

31.85 x .49 = 15.6065

Answer:

Uhhhh what?

Step-by-step explanation:

I am confused...

Answer:

58-(14)2

58-28

30

Step-by-step explanation:

The kinetic energy of a 1500 kg pick-up truck traveling at 31.0 m/sec will be 720 kJ.

If the body of the mass (m) is moving with a velocity (v), then the body possesses the energy which is known as kinetic energy. The SI unit of the kinetic energy is Joule. Then the formula is given as,

KE = 1/2 x mv²

The kinetic energy of a 1500 kg pick-up truck traveling at 31.0 m/sec is given as,

KE = 1/2 x 1500 x 31²

KE = 720,750 Joule

KE = 720 kJ

The kinetic energy of a 1500 kg pick-up truck traveling at 31.0 m/sec will be 720 kJ.

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Answer:

A,C,E

Step-by-step explanation:

,,Answer:

Thus, the equation would be

y - 25 = 2(x - 10)

Option B is correct

Step-by-step explanation:

Given that the rate is constant, we would write the equation in the slope-intercept form, which is expressed as

y = mx + c

where

m represents slope, and it also represents the constant rate

c represents the y-intercept

The formula for calculating slope is expressed as

m = (y2 - y1)/(x2 - x1)

From the information given,

x represents the number of days

y represents height

Thus,

when x1 = 10, y1 = 25

when x2 = 20, y2 = 45

Substituting these values into the formula, we have

m = (45 - 25)/(20 - 10) = 20/10 = 2

We would find the y-intercept, c by substituting m = 2, x = 10 and y = 25 into the slope-intercept equation. We have

25 = 2 x 10 + c

25 = 20 + c

c = 25 - 20

c = 5

By substituting m = 2 and c = 5 into the slope-intercept equation, the equation models the height of the plant. y after x days is

y = 2x + 5

The options are written in point-slope form, which is expressed as

y - y1 = m(x - x1)

Thus, the equation would be

y - 25 = 2(x - 10)

Option B is correct

Answer:

b is correct just took the exam

Step-by-step explanation:

The required measure of ∠L=25° for the given triangle.

A triangle is a closed shape composed of three angles, three sides, and three vertices. It is one of the most fundamental geometric forms and is represented by the symbol Δ.

If two sides of a triangle are congruent, then the angles opposite those sides are congruent.:

∠KJL = ∠JLK

Substitute ∠KJL = 25° into ∠KJL = ∠JLK: 25° = ∠JLK

∠JLK = 25°

Thus, the required measure of ∠L=25°.

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Answer:

32768

Step-by-step explanation:

Each question has 2 options.

On a true/false test with one question, there are 2¹, or 2 possible answers

On a test with 2 questions, there are 2², or 4 possible answers.

On a test with 3 questions, there are 2³, or 8 possible answers.

So, 2¹⁵ = 32768 possible ways.

3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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Answer:

EG and QM

Step-by-step explanation:

SAS or side angle side

so to start evaluate what u have already

EF =QN means that the two sides are congruent

then <MQN = <GEF

the angle Q is = to angle E

so fid the next two sides that fit the pattern or EG and QM