The entire graph of the function h is shown in the figure below.
Write the domain and range of h as intervals or unions of intervals.

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair

The scale factor here is 3 : 2.

The scale factor is defined as the difference between the new image's and the old image's sizes. A fixed point in the plane is the center of dilation. The definition of the dilation transformation depends on the scale factor and the center of dilation.

A stretched image results from a scale factor of higher than 1.

The image shrinks when the scale factor falls between 0 and 1.

The resulting image is consistent with the source image if the scale factor is 1.

As a result of the dilation modifications, the following characteristics of forms don't change:

The figure's angles are all identical.

The figure's midpoints on its sides and the midpoint of the dilated shape are both preserved.

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Data

number of commuters = 7900

percent needed = 1%

Rule of three

7900 ------------------------ 100%

x

If a caterpillar eats 1400% percent of its birth mass in one day. The caterpillar's birth mass is 14m grams.

Given data:

Birth mass in one day = 1400%

Hence, we need to formulate an equation and then use the formulated equation to find or determine the caterpillar's birth mass in m grams

1400 / 100m

Now let find the birth mass in m grams using the equation

1400/100m

= 14m grams

Therefore we can conclude that 14m grams is the birth mass.

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Answer:  14m and 1400/100

Step-by-step explanation: just do it !!

Answer:

P(Z < 1.5) = 0.9331927987

Answer: The function Indicated is a piecewise function, and the price for the 2.01 ounces is as follows:

Solution

We want to complete the square of

Firstly, let us look at how to complete a square.

Consider the illustration below

Thus, we have

Answer:

slope = -1/2

Y-intercept = (0,2)

Step-by-step explanation:

It is important to note that 757 ÷ 104 using the placement of decimal point changes when divided by a power of 10 is not feasible. I believe you may be referring to 757  ÷ 10⁴ the answer therefore, is 0.0757. See explanation below.

Suppose, as earlier indicated, the question is 757 ÷ 10⁴; that is

757 ÷ (10 x 10 x 10 x 10)

= 757 ÷ 10,000

Using the placement of decimal, we now by the number of zeros that the decimal point will move leftwards of 757 four times.

Note, that the decimal point is moving left because this is a division. In the case of a multiplication, the decimal point of a real number will move to the right.

Hence,

757 ÷ 10000

= 0.0757

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Answer:

The height of the triangle is 3 inches.

Explanation:

Given:

We change the mixed fractions to improper fractions below:

We want to find the height of the triangle.

Recall that the area of a triangle is calculated using the formula below.

Substitute the given values:

Multiply the numerators and denominators on the right side of the equation.

Multiply both sides by 10.

To solve for the height, divide both sides by 17.

The height of the triangle is 3 inches.

We have to find the first step to solve the equality:

As the quotient is blocking us from substracting an adding to solve the equation, the first step is to remove the denominator by multiplying both sides by 2.

Then we would get:

And we can continue to solve the equality.

Answer: Option B. Multiply by 2 on both sides.

Answer: 4/35

Step-by-step explanation: First you need to make the fraction denominators the same so we are going to do multiply 7 x 5 which equals 35 if you don't know your multiplication you can always skip count by 5's so now since we changed the denominators the numerators need to be changes also so the new equation will be 25/35 - 21/35 that equals 4/35 and the fraction cannot be simplified because 1 is the only common divisor

Answer:

4/35

Step-by-step explanation:

Used a calculator and did the math problem in paper

5/7 - 3/5 = 4/35

We need to solve the system:

The first step is to isolate one of the variables and replace it at the other equation. We will isolate the "x" variable on the first equation:

Then we replace this value on the second equation:

We can use this value to determine x.

The solution to the system is (-6/11, 13/33)

Equation 3x - 2y = 1, -6x + 4y = -2 has no solution.

We are aware that a line's general equation is ax+by+c=0.

where a, b, and c are known to be constants and x and y are the variables.

px + qy + r = 0 and ux + vy + w = 0 are the lines to be drawn.

If two lines are parallel to one another, there is no solution for those two lines.

Because the lines are parallel to one another, their slopes are also equal.

The equation for the provided set of general lines has the following mathematical representation: p/u = q/v ≠ r/w and m1 = m2.

3x - 2y = 2, 6x + 4y = 4

3/6 ≠ -2/4, Dose not satisfy the condition of no solution.

2x - 2y = 4, x +2y = 2

2/1 ≠ -2/2, Dose not satisfy the condition of no solution.

2x - 2y = -2, x + 2y =2

2/1 ≠ -2/2, Dose not satisfy the condition of no solution.

3x - 2y = 1, -6x +4y = -2,

3/-6 = -2/4 , satisfy the equation of no solution.

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1) Let's plot those points, keeping in mind the first coordinate is on the x-axis, and the second on y:

Then we have A= (2,3) , B = (-4,-1), C= (3,-2) and D=(-2,-1). Notice that the first coordinate refers to the x-axis, and the second one to the y-axis.

7.5 components yellow paint should be mixed with 5 parts violet paint.

Moss green is created by combining violet and yellow paint in a 2 to 3 ratio. You're interested in learning how many parts of yellow paint to combine with five parts of violet paint.

Proportion

There are various ways to express the proportion. The unknown value is often placed in the numerator. (x is the quantity of yellow paint in parts)

Yellow: violet equals 3: 2; x; and 5

The ratio, expressed as a fraction, is

3/5=x/5

5*3/2=X  multiply by 5

15/2=x=7.5 simplify

7.5 parts yellow paint to 5 parts violet paint.

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The distance Rhea travelled is the perimeter around the triangle.

The first step in finding the perimeter is finding the side lengths and for that, the following distance formula is used.

where (x_1, y_1) and (x_2, y_2) are the coordinates of the two points.

The distance between L(-1,6) and M(-4,2) is

Similarly, the distance between L(-1,6) and K(2,2) is

And the distance between M(-4, 2) and L(2,2) is

Therefore, the perimeter of the triangle is

Hence, Rhea travelled 16 km.

A trapezoid, also known as a trapezium, is a closed, flat shape with four straight sides and one pair of parallel sides

The trapezoid KLMN and PQRS are similar:

Then [tex]\frac{KN}{PS}[/tex] = [tex]\frac{NM}{RS}[/tex]

= > 6/12 = 5/RS

=> RS = 2* 5 = 10.

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32.

V = L*w*h

Where:

V= Volume

L= Length = x+5

w= width = x-2

h= height = 6

Replacing with the values given:

V= (x+5) * (x-2) * 6

V =[ (x*x) + (x*-2) + (5*X) +5*-2) ] * 6

V= [ x^2 - 2x + 5x - 10 ] * 6

V= [ x^2 + 3x - 10] *6

V= (x^2*6) + (3x*6)+ ( - 10 * 6)

V= 6x^2 + 18x - 60

Given the equation:

to write it in slope intercepept form, we have to solve for y the expression.

In this case, we have the following:

thus, the equation in slope intercept form i s y = 1/3x+6

Ok, so

We have the next system of equations:

The first equation is a line, and the second one is a parable.

If we graph, we would get the following:

Then, we notice that there's two intersection points between both graphs.

These points are located at ( -1 , -3 ), and ( 2 , -6)

Therefore, there are two solutions for this problem.

x = -1 and y = -3,

x = 2, and y = -6

Now, how to graph each equation?

First one, take the line y = -x-4

Notice that this equation tells us that the line given has its intersection with y-axis at ( 0 , -4 )

We also know that a line is formed with two points, so we could replace by any "x" number and see which value "y" takes.

For example:

If x = 1,

y = -1-4, which is y = -5

So we got other point: ( 1, -5).

Now, we just join both points and we get the line, like this:

And that's how you can graph the line.

Now, how could we graph the parable?

We know that we have to take three points to join to graph a parable. So, first, we would find its intersections with x - axis, if we equal the equation to zero.

x² – 2x - 6 = 0

If we solve this equation, we obtain that x could take two different values.

To solve it, we use the next equation:

x = 1 - √7 or

x = 1 + √7.

Then, we actually have two points.

Now, finally, we could find its vertex.

If we find the vertex of the parable, we notice that it is located in (1,-7)

Now, we just join these three points as this:

And if we put these graphs together, we obtain the first graph I drew, and notice that the solution for the system is the intersection between both functions.

Find x in the following expressions:

9^x = 3 in this case, x has to be 1/2 (square root) in order to render 3 as an answer, given that 3^2 = 9

Then x = 1/2 in this first case

Second case:

3^x = 1 In this case, we use the property of exponent zero, which always renders 1

Last case x^3 = 9

For given charges of plumbing service charges of two companies , the time of service two companies to charge the same amount is equal to 5 hours.

As given in the question,

Let 'h' hours be the time when service two companies to charge the same amount

A1 plumbing service company;

Charges $35 per hour plus a $25 travel charge for a service call

Equation:

y=25 + 35h

Good guys plumbing repair company :

Charges $40 per hour for a service call with no travel charge

Equation:

y=40h

Time when service two companies to charge same amount

25 +35h = 40h

⇒40h -35h=25

⇒5h=25

⇒h=25/5

     =5hours

Therefore, for given charges of plumbing service charges of two companies , the time of service two companies to charge the same amount is equal to 5 hours.

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Answer:

Step-by-step explanation:

Clues to recognize the graph:

-The graph will cross from the first quadrant into the third quadrant.

-The graphs of cubed equations are looking like an S shape.

-The graph must cross at y = 1 because when x is zero y is 1

If x=0 in our equation y= x^3 + x^2 + x + 1 will be y=1

-The graph must have a zero at x= -1 because if we rewrite the equation

y= x^3 + x^2 + x + 1 = (x+1)(x²+1) and here we see that one of the roots or zeros is (x+1) = 0, x= -1

Answer: D. on Edge 2023

Step-by-step explanation:

I took the test

To get the number of sinks that would be needed to fill the bathtub, divide the total capacity of the bathtub by the capacity of one sink:

This way, 33 sinks would be needed to fill the bathtub.

Answer: Option C

Answer:

Thats nice

Step-by-step explanation:

In linear equation, 10,550  is your main source of news.

What are a definition and an example of a linear equation?

Proportion of adults when main source of news on the internet

                              = [tex]\frac{No, of adults with internet of the main source of news}{total mo of samples}[/tex]

                              = 90/68+90+201+25+41

                             = 90/425  ⇒ 0.211

No. of adults in  grand city whose main source of news is the internet

                              =  Proportion   ×  total population of grand city

                              = 0.211 × 50,000

                               = 10,550

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