The diagram below shows part of the graph of y=g(x) .
The function has stationary points at (0,−3) and (2,0) as shown.
Sketch the graph of the related function y=3−g(x).

Answer:

1

Step-by-step explanation:

1/1 = 1

Answer:

Step-by-step explanation:

19 from pythagoras theorem

x^2 = 15^2 + 6^2

x^2 = 225 + 36

x^2 = 261

x = sq.root of 261

x=16.2

20 Using SOHCAHTOA

Cos theta = adj/ hypotenuse

cos y = 24/30

cos y = 0.8

y= arc cos 0.8

y = 36.9

[tex] \sqrt{85} [/tex]

Hope that helped:)

STEP1: Equation at the end of step 1

[tex] \frac{( {5}^{2} {x}^{2} - 4) }{( {x}^{2} - 9) } \div (5x - 2) \div (x + 3) \\ [/tex]

STEP2:

Simplify — [tex] \frac{25x {}^{2} - 4}{x {}^{2} - 9 } \\ [/tex]

Factoring: 25x2 - 4

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A² - AB + BA - B² =

A² - AB + AB - B² =

A² - B²

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 25 is the square of 5

Check : 4 is the square of 2

Check : x2 is the square of x1

Factorization is : (5x + 2) • (5x - 2)

Trying to factor as a Difference of Squares:

Factoring: x2 - 9

Check : 9 is the square of 3

Check : x2 is the square of x1

Factorization is : (x + 3) • (x - 3)

Polynomial Long Division :

2.3 Polynomial Long Division

Dividing : 5x + 2

("Dividend")

By : x + 3 ("Divisor")

dividend 5x + 2

- divisor * 5x⁰ 5x + 15

remainder - 13

Quotient : 5

Remainder : -13

Equation at the end of step2:

[tex] \frac{ (5x + 2) • (5x - 2)}{(x + 3) • (x - 3)} ÷ (5x - 2) ÷ (x + 3) \\ [/tex]

STEP3:

Divide[tex] \frac{(5x+2)•(5x-2)}{(x+3)•(x-3)} \: by \: 5x-2 \\ [/tex]

Canceling Out :

3.1 Cancel out (5x - 2) which appears on both sides of the fraction line.

Equation at the end of step3:

[tex] \frac{(5x + 2)}{(x + 3) • (x - 3)} ÷ (x + 3) \\ [/tex]

STEP4:

Divide [tex] \frac{5x+2}{(x+3)•(x-3)} \: by \: x + 3 \\ [/tex]

Multiplying Exponential Expressions:

4.1 Multiply (x + 3) by (x + 3)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x+3) and the exponents are :

1 , as (x+3) is the same number as (x+3)1

and 1 , as (x+3) is the same number as (x+3)1

The product is therefore, (x+3)¹ = (x+3)²

Final result :

Answer:

The answer is 48.

Step-by-step explanation:

The best way is to follow the question through. Calculate the Greatest Common Factor, in this case being 2. And the Least Common Multiple, being 60. She then subtracts the difference, in this case being 60 - 2, which gives you an answer of 48.

Answer:

112 cakes

Step-by-step explanation:

7×7=49

9×7=63

49+63=112

[tex]\text{Hello there!}[/tex]

First, we will need to find out how much each of the bakeries accrued within 7 days. We should be able to do this by simply multiplying the amount of cakes the bakery sells each day by the amount of days it's been accruing it for.

For example:

[tex]\text{7}[/tex] • [tex]\text{7}[/tex] = [tex]\text{49}[/tex]

[tex]\text{9}[/tex] • [tex]\text{7}[/tex] = [tex]\text{63}[/tex]

Since the answer doesn't explain if you're giving EACH of the bakeries amounts or combining them, that's up to you to decide if you want to do that or not.

Answer:

0

Step-by-step explanation:

[tex]\\ \sf\longmapsto Average=\dfrac{Sum\:of\:data}{Number\;of\:datas}[/tex]

[tex]\\ \sf\longmapsto Average=\dfrac{-3-1+1+3}{4}[/tex]

[tex]\\ \sf\longmapsto Average=\dfrac{0}{4}[/tex]

[tex]\\ \sf\longmapsto Average=0°F[/tex]

Answer:

it was the butler

Step-by-step explanation:

Step-by-step explanation:

f(x) = ³√(x - 3)

f(-61) = ³√(-61 - 3)

f(-61) = ³√-64

f(-61) = -4

f(128) = ³√(128 - 3)

f(128) = ³√125

f(128) = 5

Step-by-step explanation:

No she won't have enough money saved.

This is so because at the end of 30 weeks she would have saved only $450 and short by 115.

             I do not believe this is correct, (I have been checking it), but here is my work and I hope it helps you to figure out the correct answer!

(It has been a bit since I've done this haha)

[Equation] [tex]A = d(\frac{(1+i)^{n}-1}{i})[/tex]

[Plug-In] [tex]152,000 = d(\frac{(1+0.045)^{168}-1}{0.045})[/tex]

          () 4.5% -> 0.045

          () 14 years * 12 = 168 months

This is where I loose confidence in it, just so you know:

[Addition] [tex]152,000 = d(\frac{(1.045)^{168}-1}{0.045})[/tex]

[Exponent of 168] [tex]152,000 = d(\frac{(1,627.56)-1}{0.045})[/tex]

[Subtract] [tex]152,000 = d(\frac{1,626.56}{0.045})[/tex]

[Divide] [tex]152,000= 36,145d[/tex]

[Divide Again] d = 4.2

(which doesn't sound right to me haha, 4 * 12 = 48 * 14 =672)

Have a nice day!

   I know this is not exactly what you are looking for and I am sorry, wanted to share with you what I had! (ノ^∇^)

- Heather

Answer: 3rd answer is the correct answer.

Applying the Pythagorean theorem, we find that the length of the hypotenuse is equal to the square root of 2. In other words, the hypotenuse is root 2 times the length of either leg.

Answer:

(400x4)+(70x4)+(5x4)=?

Step-by-step explanation:

Divide the greater number into hundreds tens and ones then add the products to get your answer

Answer:

hope it helps you..........

Answer:

f(h(-1)) = -2.5

Step-by-step explanation:

We are given:

f(x) = (x - 3)/4

h(x) = 3x - 4

Knowing this, first find h(-1).

h(-1) = 3(-1) - 4

Multiply 3 and -1.

h(-1) = -3 - 4

Subtract 4 from -3.

h(-1) = -7

Now knowing this evaluate the function out.

f(h(-1)) = f(-7)

Evaluate f(-7).

f(x) = (x - 3)/4

Substitute variable.

f(-7) = ((-7) - 3)/4

Subtract 3 from -7.

f(-7) = (-10)/4

Divide -10 by 4.

f(-7) = -2.5

This means that f(h(-1)) = -2.5.

Answer:

y = 1/2x

Step-by-step explanation:

Pick two points:

(2,1) and (4,2)

Find the slope: y2 - y1/x2 - x1

2-1/4-2

1/2 is the slope

The y intercept is 0

Answer:

3

9

6

12

15

18

21

24

27

30

33

36

39

42

45

48

51

54

57

60

The number of times we would spin a number divisible by 3 is 12.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

Number of spins= 40

Now,

To predict how many times you would spin a number divisible by 3 in 40 spins, you can multiply the probability of spinning such a number by the number of spins. The probability of spinning a number divisible by 3 is 3/10, as there are 3 numbers out of 10 that are divisible by 3 (3, 6, and 9). the prediction is:

(3/10) x 40 = 120/10 = 12

You would expect to spin a number divisible by 3 about 12 times in 40 spins.

Therefore, by the given data the probability will be 12.

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ7

Answer:

780

Step-by-step explanation:

12 chairs x 65 rows

Answer: 780

Step-by-step explanation: Because if each row has 12 chairs then you would already know that sounds like multipication, so just multiply 65 times 12 and that will be 780 chairs in all.

Answer:

Step-by-step explanation:

Answer:

3.73

Step-by-step explanation:

1/4 of 13 1/2 is 3.73

hope this is helpfull

can you relate to the attachment??

Answer:

y +1 = 3/4(x -1)

Step-by-step explanation:

Answer:

C.    y = |x + 2| – 3

Step-by-step explanation:

I got this answer correct on Gradpoint

Answer:

g(x) = (x+2)^2 - 2x - 1

Step-by-step explanation:

f(x) = x^2 - 2x

g(x) = f(x+2) + 3

g(x) = (x+2)^2 -2(x+2) + 3 = (x+2)^2 - 2x - 1

When we graph the equations, we can confirm that our answer is correct.

The required solution of the given function is  f(x) =[tex]x^{2} -2x[/tex] is reflection on y axis is [tex]g(x)= (x+2)^2 - 2x - 1[/tex].

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

Given:

The given function is

f(x) =[tex]x^{2} -2x[/tex]

According to given question we have

[tex]g(x) = (x+2)^2 - 2x - 1[/tex]

The graph of g be a translation 2 units left and 3 units up, followed by a reflection in the y-axis of the graph.

By the use reflection on y axis we get

[tex]f(x) = x^2 - 2x\\g(x) = f(x+2) + 3\\g(x) = (x+2)^2 -2(x+2) + 3\\ \\g(x)= (x+2)^2 - 2x - 1[/tex]

Therefore, the required solution of the given function is  f(x) =[tex]x^{2} -2x[/tex] is reflection on y axis is [tex]g(x)= (x+2)^2 - 2x - 1[/tex].

Learn more details about transformations here:

https://brainly.com/question/11709244

#SPJ5

Answer:

60 pages

Step-by-step explanation:

0.15x + 51 = x

51 = x - 0.15x

51 = 0.85x

51/0.85 = x

X = 60 (0.15 * 60 = 9 pages covered with pictures)

9514 1404 393

Answer:

  D. Graph c

Step-by-step explanation:

Replacing x in f(x) with (x -a) shifts the graph to the right 'a' units. Here 'a' = -5, so the graph is shifted left 5 units. This is shown in Graph C.

_____

Additional comment

Just to make sure you're awake, graph C is selected by choice D.

Answer:

c

Step-by-step explanation:

Hello there.

To answer this question, we need to remember some properties of the isosceles triangle.

First (and most importantly), an isosceles triangle is composed by three sides, in which only two of the sides have equal length.

The perimeter of a triangle is given by the sum of the lengths of the sides, such that: [tex]2p={\ell}_1+{\ell}_2+{\ell}_3[/tex], in which [tex]p[/tex] is the semiperimeter.

Given that the perimeter of such triangle is equal to [tex]155~\text{in}[/tex] and the longest side is [tex]14~\text{in}[/tex] longer than both the other sides, we have that:

[tex]\begin{cases}{\ell}_2={\ell}_3\\ {\ell}_1+{\ell}_2+{\ell}_3=155\\ {\ell}_1={\ell}_2+14\\\end{cases}[/tex]

Using these informations, in terms of [tex]{\ell}_2[/tex], we get:

[tex]{\ell}_2+14+{\ell}_2+{\ell}_2=155[/tex]

Sum the equal terms on the left hand side of the equation

[tex]3\,{\ell}_2+14=155[/tex]

Subtract [tex]14[/tex] on both sides of the equation

[tex]3\,{\ell}_2=141[/tex]

Divide both sides of the equation by a factor of [tex]3[/tex]

[tex]{\ell}_2=47~\text{in}[/tex]

Substituting this value on the first and second equations, we get:

[tex]{\ell}_3=47~\text{in}\\\\\\ {\ell}_1=47+14=61~\text{in}[/tex]

Thus, the length of the sides of this triangle are, respectively from the largest to the smallest: [tex]{\ell}_1=61~\text{in},~{\ell}_2=47~\text{in},~{\ell}_3=47~\text{in}~~\checkmark[/tex]

These are the values we were searching for.

Answer:5n^2-9n-7

Step-by-step explanation:

Answer:

  A.  1

Step-by-step explanation:

The slope is the coefficient of x: 1.

Answers:

A. and B.

Step-by-step explanation:

(4x1) - 6 = -2

A. (1x4) -6 = -2 correct.

B. (4÷1) - 6 = -2 correct.

C. (1x4) + 6 = 10 incorrect.

D. (1+6) ÷ (4+6) = very incorrect

9514 1404 393

Answer:

  f(g(x)) = 2/(x^2 +4x)

Step-by-step explanation:

  [tex](f\circ g)(x)=f(g(x))\\\\(f\circ g)(x)=f(x+2)=\dfrac{2}{(x+2)^2-4}\\\\(f\circ g)(x)=\dfrac{2}{x^2+4x+4-4}\\\\\boxed{(f\circ g)(x)=\dfrac{2}{x^2+4x}}[/tex]