If f(x) = 5x, what is fr¹(x)?

Answer:

f(x) = (x + 3)² - 14

Step-by-step explanation:

f(x) = x² + 6x - 5

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

f(x) = x² + 2(3)x + 9 - 9 - 5

     = (x + 3)² - 14 ← in vertex form

The function in vertex form is f : x → (x + 3)² - 14.

To convert the equation.

f : x → x² + 6x - 5 into the vertex form, you will need to complete the square.

First, you will need to add and subtract the square of half of the coefficient of the x term, which is (6/2)² = 9.

This will give you the equation.

f : x → x² + 6x - 5 + 9- 9

Next, you will need to factor the left side of the equation,

f : x → (x² + 6x + 9) - 5 - 9

Now, you can see that the left side of the equation is the square of

(x + 3)² so you can rewrite it as:

f : x → -(x + 3 )² - 5 - 9

Finally, you can simplify the right side of the equation to get:

f : x → (x + 3)² - (5 + 9)

f : x → (x + 3)² - 14.

Therefore, the vertex form is f : x → (x + 3)² - 14.

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Answer:

BOD = 189 °

Step-by-step explanation:

that is the answer above

Answer:

y=4x-10

Step-by-step explanation:

See attached image

Answer:

goto chrome and search spankbang

Step-by-step explanation:

thet the answer

Answer:

6x = 16

Step-by-step explanation:

Given:

[tex]\displaystyle \large{6:2 = 8:x}[/tex]

The equation can be rewritten as:

[tex]\displaystyle \large{\dfrac{6}{2}=\dfrac{8}{x}}[/tex]

Multiply both sides by 2x.

[tex]\displaystyle \large{\dfrac{6}{2}\cdot 2x=\dfrac{8}{x}\cdot 2x}[/tex]

Simplify the equation in simplest form.

[tex]\displaystyle \large{6x=8\cdot 2}\\\\\displaystyle \large{6x=16}[/tex]

Therefore, the answer to this question is 6x = 16.

Please let me know if you have any questions regarding my answer or explanation!

Answer:

Horizontal lines have a slope of zero, and run parallel to the x axis. Vertical lines have a undefined slope, and run parallel to the y axis. The equation for a horizontal line equals y=c, and the equation for a vertical line equals x=c. If a horizontal line crosses a vertical line the two lines would be perpendicular to one another.

Step-by-step explanation:

Use this:

A Horizontal Line is a line that goes straight from left to right (or right to left)  parallel to the x-axis of the coordinate plane. All of the points on the line will have the same y-coordinates.

A Vertical Line is a line that goes straight up and down Parallel to the y-axis of the coordinate plane. All of the points on the line will have the same x-coordinates.

eden must run 2 3/8 laps to complete the race.

To calculate the laps that Eden is missing, we must perform the following operation:

We must take into account that he has already completed 7 laps and a segment of the eighth lap that is equivalent to 5/8, that is to say that he has 3/8 to complete the eighth lap.

On the other hand, once he completes the eighth lap, he will have 2 full laps left to finish the race. Due to the above, it can be stated that it is missing 2 3/8 laps.

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The function that has a greater slope will be B. The broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.

It should be noted that a linear function simply means a function whose graph is a straight line.

From the information given, the slope will be:

= (y2 - y1(/(x2 - x1)

= (3.6 - 3)/(3 - 2.5)

= 1.2

The slope for broccoli is 1.2

The slope of the cauli flower will be:

= (3.20 - 2.75)/(3.20 - 2.75)

= 1

Therefore, the broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.

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Answer:

B

Step-by-step explanation:

right on 2022 edg

To turn a number (either an integer or a decimal) into a percent, simply multiply by 100. That is the same as moving the decimal point two places to the right. You may need to round to the desired precision. Add a percent (%) sign.

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Answer:

Step-by-step explanation:

Studio A rents for $75 plus $75 an hour .

Studio B rents for $150 and $50 an hour.

Let t = the number of hours and c = cost.

Part A

Write a system of equations to represent the cost at each studio.

Studio A: c = 75 +75·t

Studio B: c = 150 +50·t

Part B

Solve the system of equations from Part A. Explain your method.

We solve the system of equation using substitution method, where we substitute c in the first equation with 150 +50t.

150 +50·t = 75 +75·t, subtract 75 and 50t from both sides

   150 -75 = 75t -50t, combine likes terms

           75 = 25t, divide both sides by 25

             3 = t

Now we know that t = 3 so we find c by substituting t with 3 in the second equation.

c = 150 +50·t

c = 150 +50·3

c = 300

The solution of the system of equations is c = 300 and t = 3

Part C

Explain what the solution to the system means in terms of where your band will rent a studio.

The solution of the system of equation tells us that if we rent either studio A or B for 3 hours will pay the same price $300.

The price will be different if we rent studio A then studio B if we rent it for a different amount of time than 3 hours.

Answer:

                  Monomial    Binominal     Trimoninal

Degree 1:        -9x               x + 6

Degree 2:       -4[tex]x^{2}[/tex]             [tex]4x^{2} -x[/tex]       [tex]x -3x^{2} + 1[/tex]

Degree 3:        4[tex]x^{3}[/tex]            5 - 2[tex]x^{3}[/tex]         [tex]3x^{2} + 3x^{3} -10[/tex]

Step-by-step explanation:

I do not know how to explain how I got to this answer, but here is the answer.

The equation that represents Grant's path is; y = 4 - ¹/₂x

We are given;

Point A: (8,0),

Point B: (-4,6)

Thus, the slope is;

m = (6 - 0)/(-4 -8)

m = -¹/₂

Thus;

Equation of Grant's path is;

y = -¹/₂(x - 8)

y = 4 - ¹/₂x

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Question:

Bobby has a party while his parents are away for the weekend. Bobby estimated that if his 9 friends hep him to clean the house, they will finish in time if they start 8 hours before his parents return. But after only two hours of cleaning, Bobby's parents call and say they are just two hours from home. How many more friends does Bobby need to call to help finish cleaning in time.

Answer:

Bobby need 20 friends.

Step-by-step explanation:

8 x (9 + 1) = 8/o = 80 hours

Suppose Bobby needed to call x friends.

10 x 2 + 2 (10 + x) = 80

20 + 20 +2x = 80

2x = 40

x = 20

Therefore, Bobby needs to call 20 friends to get the cleaning done in time.

Answer:

120 m3

Step-by-step explanation:

The volume of a rectangular prism is l*w*h. plug in the 3 measurements and get 5*4*6 = 120

Answer:

Given system of equations:

[tex]\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}[/tex]

To solve by substitution, equate the equations and solve for x:

[tex]\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}[/tex]

Therefore, the x-values of the solution are [tex]x = 0[/tex] and [tex]x = 4[/tex].

To find the y-values of the solution, substitute the found values of x into the functions:

[tex]f(0)=-(0)^2+2(0)+3=3[/tex]

[tex]g(0)=-2(0)+3=3[/tex]

[tex]f(4)=-(4)^2+2(4)+3=-5[/tex]

[tex]g(4)=-2(4)+3=-5[/tex]

Therefore, the solutions to the given system of equations are:

[tex](0, 3)[/tex] and [tex](4, -5)[/tex]

Answer:

The answer is B. AC = BD.

Step-by-step explanation:

ABCD is given as a parallelogram. Most of the line is given to be parallel.

AB = CD and BC = AD are told that they are in a parallel line to each other.

The line inside the parallelogram is yet to be said if they equal each other, thus, statement B. AC = BD must be false.

There are 432 four-letter words you can form using the seven given letters if you have a list of 7 letters.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

A list of 7 letters, of which 3 are vowels (a, i, e) and 4 are consonants (b, c, d, f).

a, i, e - 2 vowels can be selected in 3C2 ways.

b, c, d, f - 2 consonants can be selected 4C2 ways.

We can arrange 4 alphabets in 4! ways.

Total ways = C(3, 2)×C(4, 2)×4!

= 3×6×24

= 432

Thus, there are 432 four-letter words you can form using the seven given letters if you have a list of 7 letters.

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Answer:

20

Step-by-step explanation:

It is because 9x2=18

3 subtracted from 18 is 15

15+5=20

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Answer:

20 degrees and 85 degrees.

Step-by-step explanation:

105 degrees+ 150 degrees is equal to 255 degrees. 360 degrees - 255 degrees is 105 degrees. To get the ratio equivalent to 105 degrees you have to multiply both sides by 5 in order to get 20 degrees, and 85 degrees. I hope this helps! :)

Answer:

-q^2-q+72

Step-by-step explanation:

We can use the FOIL (First Outer Inner Last) method for this. First, multiply 9*8 (72). Then, multiply 9*-q(-9q). After that, multiply q*8 (8q). Finally, multiply q*-q(-q^2). Arrange the different terms:

-q^2-9q+8q+72

Finally, combine like terms:

-q^2-q+72

Hope this helps!

The distance further the friend walked is 0.41 miles.

The distance the friend walked can be determined by calculating the circumference of a semicircle.

Circumference of a semicircle = πr + 2r

r = 0.25 / 2 = 0.125mi

3.14 x 0.125 + 0.25 = 0.66 mi

Difference in the distance = 0.66 - 0.25 = 0.41 miles

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Answer: The answer to this is [tex]\frac{7\sqrt{3} }{4}[/tex].

I looked it up on my scientific calculator. I hope this helps!! :)

Answer:

7/2v^2

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

Answer: [tex]h=\frac{23}{10} =2.300[/tex]

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

[tex]h+\frac{4}{-2} -((\frac{3}{10} ))=0[/tex]

[tex]Simplify~ \frac{3}{10}[/tex]

[tex](h+\frac{4}{-2} )-\frac{3}{10} =0[/tex]

Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

[tex]h-2=\frac{h-2}{1} =\frac{h-2x10}{10}[/tex]

Equivalent fraction: The fraction thus generated looks different but has the same value as the whole

Common denominator: The equivalent fraction and the other fraction involved in the calculation share the same denominator

  Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to the lowest terms if possible:

[tex]\frac{(h-2)x10-(3)}{10} =\frac{10h-23}{10}[/tex]

[tex]\frac{10h-23}{10} =0[/tex]

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, CalderonJ multiplys both sides of the equation by the denominator.

Here's how:

[tex]\frac{10h-23}{10} *10=0*10[/tex]

Now, on the left hand side, the  10  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  10h-23  = 0

Add  23  to both sides of the equation :

                     10h = 23

Divide both sides of the equation by 10:

                    h = 23/10 = 2.300

Final Answer: 2.3(decimal form) aka 23/10 (fraction)

Answer:

it’s b

Step-by-step explanation:

the answer is 2x3x3x5, but it’s the same thing when you put an exponent of two on a 3.

Hope it helps

Sry if I’m wrong

Answer:

[tex] x = \dfrac{c + d}{a - b} [/tex]

Step-by-step explanation:

ax - c = bx + d

ax - bx = c + d

x(a - b) = c + d

[tex] x = \dfrac{c + d}{a - b} [/tex]

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

An equation is an expression that shows the relationship between two or more numbers and variables.

Solving the polynomial using completing the square:

2x² - 4x - 3 = 0

First divide through by 2:

x² - 2x - 3/2 = 0

add 3/2 to both sides:

x² - 2x - 3/2 + 3/2 = 0 + 3/2

x² - 2x = 3/2

add the square of half the coefficient x to both sides:

x² - 2x + 1 = 3/2 + 1

(x - 1)² = 2.5

taking square root:

x - 1 = ±√2.5

x = 1 ± √2.5

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

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Answer: Step 3

Step-by-step explanation: this is the right answer on the edge, hope this helps!

Answer:

the answer would be 6,600ft

Step-by-step explanation:

I hope this helps!!

Answer:

A

Step-by-step explanation:

for the relation to be a function then each value of x in the domain must map to exactly one unique value of y in the range

this is the case for A

in B : 3 → 2 and 3 → 8 ← not a function

in C : - 2 → 5 and - 2 → 7 ← not a function

in D : 2 → 2 and 2 → 3 and 3 → 3 and 3 → 2 ← not a function