can someone help me it’s very urgent due soon!

Answer:

In order that both functions to represents the same (one) graph then the value of k is 5

Step-by-step explanation:

The given functions are;

f(x) = 6·x² - 12·x + 11

g(x) = 6·(x - 1)² + k

Expanding the function g(x) gives;

6·(x - 1)² + k = 6 × (x² - 2·x + 1) + k = 6·x² - 12·x + 6 + k

∴ 6·(x - 1)² + k = 6·x² - 12·x + 6 + k

Comparing with the function for f(x), we have;

f(x) = 6·x² - 12·x + 11

g(x) = 6·(x - 1)² + k = 6·x² - 12·x + 6 + k

The difference between the two functions is the constant term, which are;

Constant term for f(x) = 11

Constant term for g(x) = 6 + k

For the two terms to describe exactly the same graph, the constant term should also be equal

We will then have, 11 = 6 + k

∴ k = 11 - 6 = 5

k = 5

For both functions to represent the same graph the value of k = 5.

Answer:

Identity property of multiplication

Step-by-step explanation:

From step 5:

[tex] 1x = 20 [/tex]

Here, to solve for x so that the variable x stands alone, Alberto uses the identity property of multiplication, which justifies what he has in step 6.

Step 6:

[tex] x = 20 [/tex]

According to the identity property of multiplication, any value you multiply by 1 gives you that same value.

Therefore, 1x = 1 × x = x.

The variable x multiplied by 1 will give you x.

Answer: x=2, y=-2

Step-by-step explanation:

1) I will find x first, so make the amount of Ys same

   3(5x+2y=6)

   2(4x-3y=14)

2) 15x+6y=18

    8x-6y=28

3) combine them together so Ys are all cancelled and 23x=46

4) x=2

5) for solving y, you can just plug in the x to any of that 2 equations, then 4(2)-3y=14

6) 8-3y=14

7) -3y=6

8) y=-2

Answer:

Interval notation: [0, 2.236]

Set Builder notation: [tex]\{t\ |\ 0\le t\le 2.236\}[/tex]

Step-by-step explanation:

Given that:

Equation of height of the ball dropped from a height of 10 foot, as:

[tex]h(t) = 10 - 2t^2[/tex]

Where [tex]t[/tex] is the time since the ball was dropped.

To find:

The domain of the function in Interval and set builder notation.

Solution:

Domain of a function is defined as the set of valid input values that can be given to the function for which the function is defined.

Here, input is time.

We can not have negative values for time.

Therefore, starting value for time will be 0 seconds.

And the value of height can not be lesser than that of 0 ft.

[tex]0= 10 - 2t^2\\\Rightarrow 2t^2=10\\\Rightarrow t^2=5\\\Rightarrow t =2.236\ seconds[/tex]

Maximum value for time can be 2.236 seconds.

Therefore the domain is:

Interval notation: [0, 2.236]

Set Builder notation: [tex]\{t\ |\ 0\le t\le 2.236\}[/tex]

Answer:

3x^3 − x^2 − 10x

Step-by-step explanation:

V= l*w*h

V= x * (x-2) * (3x+5)

V= (x(x−2)) (3x+5)

= (x(x−2)) (3x) + (x(x−2)) (5)

= 3x^3 − 6x^2 + 5x^2 − 10x

=3x^3 − x^2 − 10x

Answer:

(x-1)(x^3+4x^3-1)=(x-1)(5x^3-1)

Step-by-step explanation:

Answer:

the answer is 9

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

6/[2(1+2)]

Using PEMDAS

parentheses first

6/[2 (3)]

6/6

1

Answer:

[tex]h(g(x))=x^2+x-2[/tex]

[tex]h(g(f(x))= x^2-19x+88[/tex]

Step-by-step explanation:

Composite Function

Suppose f(x) and g(x) are real functions, the composite function named [tex](f\circ g)(x)[/tex] is defined as:

[tex](f\circ g)(x)=f(g(x))[/tex]

The composite function can be found by substituting g into f.

We are given these functions:

[tex]f(x)=9-x[/tex]

[tex]g(x)=x^2+x[/tex]

[tex]h(x)=x-2[/tex]

Find:

a) h(g(x))

Substituting g into h:

[tex]h(g(x))=x^2+x-2[/tex]

b) h(g(f(x))

First we find g(f(x)):

[tex]g(f(x))=(9-x)^2+(9-x)[/tex]

Operating:

[tex]g(f(x))=81-18x+x^2+9-x[/tex]

Simplifying:

[tex]g(f(x))=90-19x+x^2[/tex]

Now find h(g(f(x)) replacing the above equation into h:

[tex]h(g(f(x))= 90-19x+x^2-2[/tex]

Simplifying and rearranging:

[tex]h(g(f(x))= 88-19x+x^2[/tex]

[tex]h(g(f(x))= x^2-19x+88[/tex]

Answer:

Please see below :)

Step-by-step explanation:

Integers - Whole numbers (no fractions or decimals!)

11 to 111

12, 14, 16, 18, 20

22, 24, 26, 28, 30

32, 34, 36, 38, 40

42, 44, 46, 48, 50

52, 54, 56, 58, 60

62, 64, 66, 68, 70

72, 74, 76, 78, 80

82, 84, 86, 88, 90

92, 94, 96, 98, 100

102, 104, 106, 108, 110

Hope this helped!

Answer:

Step-by-step explanation:

Formula is given

If C = 15 yd, π = 3.14, then r is

Answer:21

Step-by-step explanation:12 times three is 36 and 7 times 3 is 21

Answer:

3. the answer is 5 degrees

4. 8 points

5. 56

6.24

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Ok! So you want to find slope! First, you will need two points which you already have. Next, you will want to plot those two points on a graph. Once, you have that you can draw a straight line between the two points and until the end of the graph. After that, you want to find the rise/run or rise over run. Rise meaning up or down and run meaning left or right. Sometimes your problem will want you to keep the rise/run format and sometimes your problem will ask for a who number in which case you will divide your rise/run (rise ÷ run). How to find the rise over run you ask, simple! Draw a line-up or down from your first (or second) point whichever works, until you reach the y-value of your second (or first) point one your two points are connected, count the rise (up or down) and then the run (left or right). If your run goes left its a negative, right a positive. If your rise goes up its a positive, down a negative.

Boom! You know how to find slope!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

Step-by-step explanation:

On the first day, Ben (B) starts with 10 tubs and Winston (W) starts with 0 tubs.

After the first day, Ben sells 8 tubs per day while Winston sells 9 tubs per day.

Therefore we can write the following equation:  (Where d = number of days)

B = 10 + 8d

W = 0 + 9d = 9d

We are told that eventually they will sell the same amount which means

B = W

This means we can say,

10 + 8d = 9d

If we subtract 8d from both sides we get

10 = d

Therefore it will take 10 days for them to sell the same amount of cookie dough.

Answer: 10 days

10 + 8 x 10 = 90

9 x 10 = 90.

It will take 10 days for Ben and Winston to sell the same amount of cookie dough.

Hope this helps you!

Answer:

X=9+14

X=23

Step-by-step explanation:

Answer: 23

Step-by-step explanation:

x = 14+9 = 23

Answer:

1. Shade 17 2. 43% 3. 5745.9

Step-by-step explanation: Try this?

Answer:

Your answer is: There is a mistake in Beth's answer the mistake was that she multiplied the area of the original triangle by the scale factor.

Step-by-step explanation:

Hope this helped : )

answer:

10 times 6 is 60 plus 5 is 65 carry the 5 you've got

1995

+

565

=

2560

step-by-step explanation:

and that's on periodt

Answer:

14th term

Step-by-step explanation:

Answer: b - $8/1 lb

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I got it right :)

Answer:

hay we need to see the cordnit plan first

Step-by-step explanation:

Answer:

the answer should be 140

Step-by-step explanation:

Answer:

The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry. For a parabola whose equation is given in standard form , the vertex will be the minimum (lowest point) of the graph if and the maximum (highest point) of the graph if .

Step-by-step explanation:

Answer:

8 Units long

Answer:

30

Step-by-step explanation:

The money that was in Jennifer’s account when it was opened should be 30.

Since

Jennifer's bank account is modeled by the following equation

where x equals the number of weeks and f(x) equals the total balance.

And, the equation is f(x) = 12x + 45.

So here as per the attached graph, so the money should be 30.

Learn more about money here: https://brainly.com/question/3046341

Answer:

120

Step-by-step explanation:

good luck

Answer:

Step-by-step explanation:

x + 60 = 180

x = 120°

Answer: 192 shoppers each day and 24 shoppers each hour

Step-by-step explanation:

-Each day= number of shoopers/number of days=960/5

=192 shoppers each day

-each hour per day=number of shoppers per day/number of hours per day

=192/8

=24 shoppers per hour