Use f(x) = 1/2x and f -1(x) = 2x to solve the problems.

f(2) =

f−1(1) =

f−1(f(2)) =

Part A:

If a quadratic has only one x-intercept, then that is where the vertex lies. being that the vertex is the highest or lowest point in the quadratic. To sketch, it will open downwards with a single x-cept

Part B:

The graph will be above the x-axis. And having the vertex being at (0,1) as it says its the minimum value. All the minimum means is that its the lowest value of this given parabola.

Part C:

Plot the points of the y-intercept and z-intercepts. Then plot the maximum value is. Connect the dots.

Answer:

10.16

Step-by-step explanation:

Answer:

10.16

Step-by-step explanation:

I got it right on edg 2020 (:

Answer:

The graph of the system of equations solves the equation  [tex]\frac{1}{2}[/tex] x - 4 = -2x + 1 ⇒ D

Step-by-step explanation:

Let us revise some important notes about the slope and y-intercept of a line

The form of the linear equation is y = m x + b, where m is the slope and b is the y-intercept

The y-intercept (0, b) is the the point of intersection between the line and the y-axis

To solve our question without any calculation, let us find the direction of the slopes and their y-intercepts

∵ The direction of the blue line is to the left

→ That means m in the equation is negative

∴ Its slope is negative

∵ The line intersects the y-axis at point (0, 1)

→ That means b in the equation = 1

∴ The number in the equation is 2

→ Look at the answer we have only one answers have negative slope and

   y-intercept = 1 in the right hand side ⇒ D

∴ The equation of the blue line is represented by the left side -2x + 1

→ That means the equation of the red line is represented by the left side

∵ The direction of the red line is to the right

→ That means m in the equation is positive

∴ Its slope is positive

∵ The line intersects the y-axis at point (0, -4)

→ That means b in the equation = -4

∴ The number in the equation is -4

→ Only D has a positive slope and y-intercept = -4 in the left side

∴ The equation of the red line is represented by [tex]\frac{1}{2}[/tex] x - 4

The graph of the system of equations solves the equation  [tex]\frac{1}{2}[/tex] x - 4 = -2x + 1

Another way:

You can solve each equation to find the value of x, then substitute it in one side of the equation to find y , the values of x and y must be (2, -3) as the point of intersection of the two lines in the graph

Answer:

642000000000000000000000

Step-by-step explanation:

Answer: 0, -1, -2

The sum of three consecutive integers is -3. So, we must find three consecutive numbers that total to -3.

The numbers can be 0, -1, and -2 because these are consecutive numbers.

So, the answer is 0, -1, and -2. Hope this helps you!

Answer:

x = 20

Step-by-step explanation:

PEMDAS

P = parenthasees

E = exponents

M = multiplication

D = division

A = addition

S = subtraction

this is the order

so first

4x + 8 -2x = 4x - 12

No exponents

no Multiplication

No division

Addition

So for this, we have to subtract the 4x on both sides to get

x + 8 - 2x = -12

then do -8

x - 2x = -20

then

-x = -20

x = 20

Answer:

x=10

Step-by-step explanation:

*The eight is negative and not positive. The answer is x=10

Answer:

-2

Step-by-step explanation:

Answer:

121

Step-by-step explanation:

11 x 11

this is what goes on in my head you don't have to this but this is what i do

10 x 10 = 100

10 x 1 = 10

1 x 10 = 10

1 x 1 = 1

100 + 10 + 10 + 1 = 121

The product of the numbers 11 with 11 is 121.

Given are the numbers 11 and 11.

We have to find the product of these numbers.

This can be found in various ways.

We can study the perfect squares from 1 to 20 to know it fast.

Else you can use normal multiplication.

Or another method is,

Split both 11 as 10 and 1 and then find the product with each.

10 × 10 = 100

Then find 10 with 1.

10 × 1 = 10

Then find 1 with 10.

1 × 10 = 10

Then find 1 with 1.

1 × 1 = 1

Total is 100 + 10 + 10 + 1 = 121

Hence the number is 121.

Learn more about Multiplication here :

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Answer: Prime number.

Step-by-step explanation: Hopefully this helped you ;)

Answer:

prime....

Step-by-step explanation:

Last option is the correct answer

x= √2, −√2, 3, −3

According to Khayyam-Pascal triangle ,

the value of n is 8.

[tex] look \: \\ \\ {(x + 1)}^{8} = {x}^{8} + 8 {x}^{7} + 28 {x}^{6} + 56 {x}^{5} + 70 {x}^{4} + 56 {x}^{3} + 28 {x}^{2} + 8x + 1 \\ \frac{56}{28} = 2 [/tex]

Recall the binomial theorem:

[tex](a+b)^n=\displaystyle\sum_{k=0}^n\binom nk a^k b^{n-k}[/tex]

where

[tex]\dbinom nk=\dfrac{n!}{k!(n-k)!}[/tex]

is the binomial coefficient. So

[tex](x+1)^n=\displaystyle\sum_{k=0}^n\binom nk x^k[/tex]

The x² term occurs for k = 2, which has coefficient

[tex]\dbinom n2=\dfrac{n!}{2!(n-2)!}=\dfrac{n(n-1)}2[/tex]

The x³ occurs for k = 3, with coefficient

[tex]\dbinom n3=\dfrac{n!}{3!(n-3)!}=\dfrac{n(n-1)(n-2)}6[/tex]

The latter coefficient is twice the other one, so that

[tex]\dfrac{n(n-1)(n-2)}6=2\cdot\dfrac{n(n-1)}2[/tex]

Solve for n :

[tex]\dfrac{n(n-1)(n-2)}6=n(n-1)[/tex]

[tex]n(n-1)(n-2)=6n(n-1)[/tex]

[tex]n-2=6[/tex]

[tex]\boxed{n=8}[/tex]

Answer:

6 days

Step-by-step explanation

2/3 cups x 3 days = 2 cups

2 cups x 2 cups = 4 cups

4 cups = 6 days

Answer:

6

Step-by-step explanation:

1) Get 4 and divide it by 2/3

2) To do this you put the inverse which is 4/1 x 3/2

3) Cross divide, then multiply.

4) (4/1 x 3/2) so 4/2 = 2 which is 2 (and whatever you do to one side, you have to do to the other side) so 2/2 is 1. Then 3/1 = 3 and 1/1 = 1 so it stays same. So now the equation becomes 2/1 x 3/1

5) This means the ones cancel out since in math ones don't have to be seen even though they are there.

6) 2 x 3 = 6

So you get 6

The factored expression of -3x^2 +17x -20 is (-3x + 5)(x-4)

The expression is given as:

-3x^2 +17x -20

Expand the expression

-3x^2 +12x + 5x -20

Factorize the expression

-3x(x - 4) + 5(x - 4)

Factor out x - 4

(-3x + 5)(x-4)

Hence, the factored expression of -3x^2 +17x -20 is (-3x + 5)(x-4)

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Answer:

35

Step-by-step explanation:

(-5)(-7) is a multiplication problem, so you would multiply -5 and -7 together to get 35 as two negatives make a positive

Answer:

26,000

Step-by-step explanation:

$2,000 per car x 13 used cars

Answer:

[tex](1)\; G(x)=2(x-14)^2+6[/tex]

Step-by-step explanation:

Assuming, right and up are positive directions.

The given parent function, [tex]f(x)=x^2[/tex]

Let [tex]f_1(x)[/tex] be the function when the parent function is stretched by a scale factor of 2.

So, [tex]f_1(x)=2f(x)[/tex]

[tex]\Rightarrow f_1(x)=2x^2[/tex]

Let [tex]f_2(x)[/tex] be the function when [tex]f_1(x)[/tex] is translated [tex]14[/tex] units right.

So, [tex]f_2(x)=f_1(x-14)[/tex]

[tex]\Rightarrow f_2(x)=2(x-14)^2[/tex]

Again, let [tex]f_3(x)[/tex] be the function when [tex]f_2(x)[/tex] is translated 4 units up.

So, [tex]f_3(x)=f_2(x)+6[/tex]

[tex]\Rightarrow f_3(x)=2(x-14)^2+6[/tex]

So, the resulting function, [tex]f_3(x)=G(x)=2(x-14)^2+6[/tex].

Hence, option (1) is correct.

Answer:

-45

Step-by-step explanation:

9 multiplied by -5 is -45 because when multiplied a positive number to a negative number stay negative

Answer: I feel dumb too i dont like your teacher already that question is tooooooo complicated sry :(

Step-by-step explanation:

Answer:

13.86

Step-by-step explanation:

(-2.2)(1.5)(-4.2) =

Use a calculator. Start with -2.2 * 1.5.

= (-3.3)(-4.2)

= 13.86

Answer:13.86

Step-by-step explanation:

((−2.2)(1.5))(−4.2)

=(−3.3)(−4.2)

=13.86

Answer:

Step-by-step explanation:

area of shaded region=area of whole region-area of white space

=9×13-5×[13-(3+2)]

=117-5×8

=117-40

=77 m²

Answer:

The Ratio would be 11:30

Step-by-step explanation:

peas : 11

Peppers: 30

High Hopes ^^

Barry-

Answer:

[tex]6\frac{3}{16}~,~3\frac{1}{16}[/tex]

Step-by-step explanation:

let the fractions be x and y,then

[tex]x+y=9\frac{1}{4}=\frac{37}{4}=\frac{74}{8}\\x-y=3\frac{1}{8}=\frac{25}{8}\\adding\\2x=\frac{74}{8}+\frac{25}{8}=\frac{99}{8}\\x=\frac{99}{16}=6\frac{3}{16}\\again ~subtracting\\2y=\frac{74}{8}-\frac{25}{8}=\frac{49}{8}\\y=\frac{49}{16}=3\frac{1}{16}\\[/tex]

Answer:

8x + 4 - z

Step-by-step explanation:

Given the following :

The distance from her house to school is 2x+5 The distance from the school to the park is z If the total distance she was that day is 10x +9 how far is it from the park back to her

Distance from house to school = 2x + 5

Distance from school to park = z

Total distance covered = 10x + 9

Distance from park to house =?

Total distance = (distance from house to school + distance from school to park + distance from park to house)

Let p = distance from park to house

10x + 9 = (2x + 5 + z + p)

10x + 9 - 2x - 5 - z = p

8x + 4 - z

Answer: undefined slope