Suppose f(x) =
[tex] {x}^{2} [/tex]
. What is the graph of g(x)=1/2f(x)?​

Answer:

A

Step-by-step explanation:

Given 2 secants from a point outside the circle.

Then the product of the external part and the entire secant of one secant is equal to the product of the external part and the entire secant of the other secant, that is

(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)

(x + 1)(x + 12) = (x + 4)(x + 5) ← expand both sides

x² + 13x + 12 = x² + 9x + 20 ← subtract x² + 9x from both sides

4x + 12 = 20 ( subtract 12 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2 → A

Answer: She did not use the factors in correct order therefore she is inncorrects

Step-by-step explanation: I got it right on edge

Answer:

Sari did not use the greatest common factor in the equation.

Step-by-step explanation:

Answer: The area is 103.5

Step-by-step explanation: The question becomes very simple once you know how to split this object into objects that you most likely know how to solve the area of. In truth, if you split the shapes in triangles and rectangles, you would find 4 rectangles and a triangles. Once you have solved the area of all of them, you would just have to add. How I solved it goes like this. I added 22.5 as the triangle, 35 as a rectangle, 2 as another rectangle, 18 as another rectangle, and 26 as the final rectangle.(take note that these numbers are the areas of the split shapes) If you added correctly, you would get 103.5

Answer:

When a student tells her a number, she uses a rule to determ

Step-by-step explanation:

Get the answers ... When a student tells her a number, she uses a rule to determine the new number. Ms. Augustine always uses the same rule. The table below shows some of the results. What would the number be when the student says 8? A. 58. B. 56. C. 54

Answer:

58

Step-by-step explanation:

Answer:

18.1818181  Feet

Step-by-step explanation:

Divide 27.5 by 20 to establish a ratio between the length and width of the house, then multiply your new ratio by 25. Units do not matter, as long as it's not like 27.5 mm high by .05 ft wide.

Step-by-step explanation:

To find the probability

Total marbles = 5 + 3 + 6 + 2 = 16

P pink = 5/ 16

P orange = 3/16

P green = 6/ 16 = 3/8

P yellow = 2/16 = 1/8

Part B when we divide 80 by 16 = 5

So she drew every marble 5 times

So 3 x 5 = 15

She drew the orange marble 15 times

Since y = f(x), and we are adding 5 to this, we can say that g(x) is basically f(x) but has been shifted 5 units up.

Example: f(x) = x^2 and g(x) = f(x)+5 = x^2+5. Compare those two graphs and you should see that every point on f(x) has been moved up 5 units.

The statement best compares the graph of g(x) with the graph of f(x) is "The graph of g(x) is the graph of f(x) shifted 5 units up".

A function assigns the value of each element of one set to the other specific element of another set.

As the value of function g(x) is given, therefore, the function of g(x) will be 5 units upwards from the function f(x).

An example of this is been attached below.

Therefore, the statement best compares the graph of g(x) with the graph of f(x) is  "The graph of g(x) is the graph of f(x) shifted 5 units up".

Learn more about Function:

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Answer:0.5<0.509<0.59<0.9<5.9

Step-by-step explanation:

Maths

Answer:

0.5,0.509,0.59,0.9,5.9

Step-by-step explanation:

Answer:

[tex]12n^4-15n^3-3n^2[/tex]

Step-by-step explanation:

The first step is to distribute the [tex]3n^2[/tex] to [tex](4n^2-5n-1)[/tex], like so:

[tex](4n^2-5n-1)[/tex][tex](3n^2)[/tex]

[tex]12n^4-15n^3-3n^2[/tex]

Answer:

c

Step-by-step explanation:

Answer:

c)

Step-by-step explanation:

Answer:

C) 144 in3

Step-by-step explanation:

Area of rectangular prism = lwh

8*9*2 = 144

Answer:

D

Step-by-step explanation:

To factor a quadratic you need to think about what adds up to the b coefficient (the number in front of b) and multiplies to the constant. 3 and 4 do these, but you also know that you have -7 instead of positive 7. A negative times a negative is equal to a positive, which you can do (x-3)(x-4) to equal your quadratic trinomial.

Answer:

x=2, y=1

Step-by-step explanation:

The left and right sides are equal

7x-2 = 5x+2

Subtract 5x from each side

7x -5x-2 = 5x-5x+2

2x-2 = 2

Add 2 to each side

2x -2+2 = 2+2

2x = 4

Divide by 2

2x/2 = 4/2

x =2

The top and the bottom are the same length

6x+y = 7x-1

6(2) +y = 7(2)-1

12 +y = 14-1

Subtract 12 from each side

12 +y-12 = 13-12

y = 1

Answer: Matt is correct

Step-by-step explanation: length x width x height so it's D

Answer:

Step-by-step explanation:

The graph of f(x) = x^2 is a parabola opening up and with vertex at (0, 0).

The graph of (1/3)f(x) is also a parabola that opens up and has vertex at (0, 0), but this new graph has been vertically compressed by a factor of 3.

The graph of g(x) = 1/3 f(x) is parabola. (as shown in the following image.)

"The graph of a function f is the set of all points in the plane of the form (x,  f(x))."

For given example,

f(x) = x²

The graph of a function f(x) would be a parabola with vertex at origin (0, 0).

And g(x) = 1/3 f(x)

⇒ g(x) = 1/3 (x²)

We know, the greater the quadratic coefficient, the narrower the parabola and the lesser the quadratic coefficient, the wider the parabola.

Since for a parabola g(x) the quadratic coefficient is 1/3.

This means the parabola g(x) is wider than the parabola f(x)

So, the graph of g(x) is the graph of f(x) scaled by 1/3 units.

The graph of g(x) is parabola (as shown in following figure)

Learn more about the graph of the function here:

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Answer:

In 2008 the US population was 4.55% of the world population.

Step-by-step explanation:

In order to calculate the percent of the world population that represents the US population, we can apply a rule of three in such a way that the world population is related to 100% in the same proportion that the US population is related to x%. We then solve for x. This is shown below:

6.7*10^9 -> 100%

305*10^6 -> x%

6.7*10^9 / 305*10 ^6 = 100 / x

6.7*10^3 / 305 = 100 / x

(6.7*10^3)*x = 305*100

x = 30500 / (6.7*10^3)

x = 4,55 %

In 2008 the US population was 4.55% of the world population.

Answer: 6.76 109

Step-by-step explanation:

Answer: it’s B

Step-by-step explanation:

I just took the test

Answer:

Trey's number line model is incorrect because it represents the expression 2 1/2 / 3/4. The correct equation is 2 1/2 / 3/8 = 6 2/3. Ms. Nellies has enough vinegar for 6 groups of students.

Answer:

incorrect

wrong equation 2 1/2 / 3/4

correct equation 2 1/2 / 3/8 = 6 2/3

6 groups of students.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Because this figure is a parallelogram, the diagonals bisect each other. This means that the diagonals cut each other perfectly in half, meaning that x and 15 have the same value. Hope this helps!

Step-by-step explanation:

I think its 5 for x if you do 15/3=5 I think

Answer:

c=24

Step-by-step explanation:

Step 1: Add 7 to both sides.

1/3c−7+7=1+7

1/3c=8

Step 2: Multiply both sides by 3.

3*(1/3c)=(3)*(8)

c=24

hope i helped

-lvr

Answer:

2.

4x^2 + 4 - 5x + x - 2x^2 + 8

= (4x^2 - 2x^2) + (x - 5x) + (4 + 8)

= 2x^2 - 4x + 12

=> D is correct

3.

2x^2 + 6x - 7x + 8 - 3x^2 + 1

= (2x^2 - 3x^2) + (6x - 7x) + (1 + 8)

= -x^2 - x + 9

=> C is correct

4.

B is correct (4 and 3)

Hope this helps!

:)

Answer:

This is because It is easy to convert a fraction to a percent when the denominator is 100. If a fraction does not have a denominator of 100, you can convert it to an equivalent fraction with a denominator of 100, and then write the equivalent fraction as a percent.

Step-by-step explanation:

Answer:

276

Step-by-step explanation:

Answer:

y = -15.9x² + 110.48x + 3.02

initial velocity: 110.48 ft/s

initial height: 3.02 ft

time to cath the ball at 6 ft: 6.92

Step-by-step explanation:

In the picture attached, the plot of the data points and the equation of the best regression is shown, which correspond to a quadratic equation. (It was obtained using Excel)

The initial velocity is the second coefficient.

The initial height is the third coefficient.

Replacing y = 6 into the equation and solving with the quadratic formula:

6 = -15.9x² + 110.48x + 3.02

0 = -15.9x² + 110.48x + 3.02 - 6

0 = -15.9x² + 110.48x - 2.98

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex]x = \frac{-110.48 \pm \sqrt{110.48^2 - 4(-15.9)(-2.98)}}{2(-15.9)} [/tex]

[tex]x = \frac{-110.48 \pm 109.62}{-31.8} [/tex]

[tex]x_1 = \frac{-110.48 + 109.62}{-31.8} [/tex]

[tex]x_1 = 0.03[/tex]

[tex]x_2 = \frac{-110.48 - 109.62}{-31.8} [/tex]

[tex]x_2 = 6.92[/tex]

In the context of the problem, only x2 has sense.

Answer:

The answer is 784

Step-by-step explanation:

You divide 17 from 45 it will equal 2.647 years technically 2 year that the population has doubled.

You multiply 196 by 2 and do that a second time to get 784.

Answer:

If the function is

A(n) = 4n -25

and we wish to get the inverse function N(a)

We let

A(n) = a

n = N(a)

Plugging in the values

a = 4 N(a) - 25

Arranging the equation:

4 N(a) = a + 25

N(a) = (a + 25) /4

The answer is

N(a) = (a + 25) /4

Step-by-step explanation:

The inverse function of a(n) = 3n - 15 is n(a) = 5 + a/3.

An inverse function exists a function that undoes the action of another function. A function g exists as the inverse of a function f if whenever

y = f(x) then x = g(y).

We have:

a(n) = 3n - 15

Rewrite the above equation as

a = 3n - 15

Add 15 to both sides of the equation

3n = 15 + a

Divide through by 3, we get

n = 5 + a/3

Express as function then, we get

n(a) = 5 + a/3

Hence, the inverse function is n(a) = 5 + a/3.

To learn more about inverse function

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Answer:

<B = 107

Step-by-step explanation:

This two triangles are congruent by SSS

So angleB = angleD

We can find angle D by the sum of the angles of a triangle

A+C+D = 180

32+41+D = 180

73+D = 180

D =180-73

D =107

C = B = 107