Stan evaluated a function with a value and got 3 as the result. He wrote the entire process as a sentence: The function , when evaluated with , gives the value 3.

Answers

Answer 1
The answer is f(x)=x²+2x when evaluated with -3 gives you the value of 3
Answer 2

The function f(x) = x^2-1 when evaluated with 2, gives the value 3.

What is a function?

A function can then be defined as a set of ordered pairs. Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

For the given situation,

Stan evaluated a function with a value and got 3 as the result.

For this statement, we can frame many functions with different inputs.

Let us consider the function,

(1)  [tex]f(x)=2x-3[/tex]

Now substitute x = 3,

⇒ [tex]f(3)=2(3)-3[/tex]

⇒ [tex]f(3)=6-3\\[/tex]

⇒ [tex]f(3)=3[/tex]

(2) [tex]f(x)=x^{2} -1\\[/tex]

Now put x = 2,

⇒ [tex]f(2)=2^{2}-1[/tex]

⇒ [tex]f(2)=4-1[/tex]

⇒ [tex]f(2)=3[/tex]

Similarly we can make many functions that has the value 3 as the result.

Hence we can conclude that the function f(x) = x^2-1 when evaluated with 2, gives the value 3.

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Related Questions

Savvas Realize
In Allentown, Pennsylvania, there are two hamburger shops, Jenny's Burgers and the Burger Hut. Jenny's Burgers sells a record 36 burgers in 5 hours. The next day, Burger Hut broke the record for 108 burgers in 5 hours. How many times more is the record of Burger Hut then Jenny's Burgers?
How do you know?

Answers

Answer: the record is 3 times higher

Step-by-step explanation:

The record Jenny's Burgers sold was:

36 burgers in 5 hours

The record Burger Hut sold was:

108 burgers in 5 hours

We have to divide the record of Burger Hut by Jenny's Burgers.

108 divided by 3 is 36.

So, the record is 3 times higher. Hope this helps!

Answer:

3 times the quantity

Step-by-step explanation:

108 divided by 36 equals 3 times the quantity

Combine and simplify the following radical expression. 3^ square root 6 x 3^ square root 4​

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] {3}^{ \sqrt{6} } \times {3}^{ \sqrt{4} } = [/tex]

[tex] {3}^{ \sqrt{6} } \times {3}^{2} = [/tex]

[tex] {3}^{ \sqrt{6} + 2 } = {3}^{2 + \sqrt{6} } [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

What is the missing number from the following sequence?

4 7 11 18 29 47 __ 123 199 322

Answers

Answer: 76

Step-by-step explanation: 29 + 47

Factorise x cube -2x square -5x plus 6

Answers

Answer:   {(x + 2), (x - 1), (x - 3)}

Step-by-step explanation:

Presented symbolically, we have:

x^3 - 2x^2 - 5x + 6

Synthetic division is very useful for determining roots of polynomials.  Once we have roots, we can easily write the corresponding factors.  

Write out possible factors of 6:  {±1, ±2, ±3, ±6}

Let's determine whether or not -2 is a root.  Set up synthetic division as follows:

-2   /   1   -2   -5   6

              -2     8   -6

     -----------------------

        1     -4      3    0

since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial.  The coefficients of the product of the remaining two factors are {1, -4, 3}.  This trinomial factors easily into {(x -1), (x - 3)}.

Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}

Freida earns $5.25 per hour and time-and-a-half for overtime for all hours over 40 hours. How much did she earn the week she worked 48 hours?

Answers

Answer:

Total earned= $273

Step-by-step explanation:

Giving the following information:

Regular labor hours= $5.25

Overtime labor hours= $5.25*1.5= $7.875

To calculate the total earned, we need to use the following formula:

Regular labor hours= 40*5.25= 210

Overtime labor hours= 8*7.875= 63

Total earned= 210 + 63

Total earned= $273

Reasoning How can you find the slope of the
line that passes through the points (0, 0) and
(2, 4)? Explain.

Answers

use the equation y2-y1/x2-x1 so you would do 4-0/2-0= 4/2= 2 so your slope is 2

.........................

Answers

Answer:

what is this? need some explanations

Answer:

what r u trying to explain

What is the y-intercept of the line?

Answers

Answer:

The Y-intercept is 1

It is where the line meets the y-axis

~PumpkinSpice1

hello!

[tex]==================================[/tex]

Remember, the y-intercept is the point where the graph touches the y-axis (that's why it's called y-intercept).

Let's look at this graph and see if we can identify the y-intercept of the line.

If we look at our graph, we'll see that the line touches the y-axis at (0, 1).

[tex]\pmb{Note:-}[/tex] Remember, y-intercepts have an x-coordinate of 0.

And guess what the y-coordinate is? Yes, it's the y-intercept of the line.

Hence, the y-intercept of the line is

[tex]\pmb{the~y-intercept~is~1}[/tex]

[tex]==================================[/tex]

note:-Hope everything is clear; if you need any more explanation, kindly let me know.

109 is 63% of what? Thx.

Answers

Answer:

109 is 63% of 173.02

Step-by-step explanation:

Let 109 = 63% of x

Thus;

63/100 * x = 109

63x = 10900

x = 10,900/63

x = 173.02

Ms. Geetha said that 60 of her total students will compete in the Math Olympics. If 60 is 20% of her students, how many total students does she have?

Answers

Answer:

300 students

Step-by-step explanation:

There are two ways to solve this question.

Way Number 1

60 is 20% of the total students

20÷100= 0.2

60÷0.2=300

Therefore there are 300 students

Way Number 2

60 is 20% of the total students

60/20 = x/100

x= 60*100÷20

x= 6000÷20

x= 300

Therefore there are 300 students.

help ;w;

Daniel rode his bicycle from Barton to Wells along the path shown on this map.

If it took Daniel 5 hours to complete the trip, what was his average speed in miles per hour?​

Answers

I’m going to guess 12.4mph. Sorry if it’s wrong

Brooke needs a new computer. On Friday, the computer was $200.00. On Saturday, the price of the computer was $149.00. Determine if there was a markup or markdown and by what percent.

Answers

Answer:

Step-by-step explanation:

Given

price of the computer on Friday = $200

price of the computer on Saturday = $149

Difference in price = 200 - 149 = $51

Since the price reduces in price by $51, hence there was a markup in price.

% markup = difference in price/original price * 100%

% mark up = 51/200*100%

% markup = 51/2

% markup = 25.5%

Hence the markup was a 25.5% change

Answer:

25.5 is the answer..........................................................

Step-by-step explanation:

Find the surface area of the rectangular prism.
1 mi
1 mi
5 mi

Answers

Answer:

20mi[tex]1^{2}[/tex]

Step-by-step explanation:

Well, I'm guessing that the 1mi by 1mi is the two square sides and 5 mi is the length of the rectangular part

So with that information, the two surface areas of the squares would be 1mi[tex]1^{2}[/tex]+1mi[tex]1^{2}[/tex] is 2mi[tex]1^{2}[/tex]

And then the four rectangular sides would be 5mi[tex]1^{2}[/tex] *4 = 20mi[tex]1^{2}[/tex]

in conclusion

20mi[tex]1^{2}[/tex]

triangle TCL is similar to triangle AEN. solve for x and y​

Answers

Answer:

y = 6.7

x = 8

Step-by-step explanation:

3^2 + 6*2 = y

√9 + 36 = y

6.7 = y

10^2 = 6^2 + x

100 = 36 + x

100 (-36) = 36 (-36) +x

√64 = x

8 = x

Please help me!!!! I will mark brainlist.

Answers

Answer:

angle 1 =135

Step-by-step explanation:

it is 180 degrees total. We know that there are two angles that have a ratio to 3:1. So, assign x to 2. Since 1 = 3x, we do 3x+x =180

4x=180

x=45 or angle 2

180-45=135 or angle 1

Multiply angle 2 by 3 to check if its correct

Answer:

the measurement of angle 1 is 135 degrees. (i think)

Step-by-step explanation:

so we know that angle 1 and 2 are at a 3:1 ratio

and that 1 and 2 add to 180 degrees

if you plug the number 45 in to angle 1, then multiply that by 3 you get 135

the remaining number to add to 180 would be angle 2

which is 45 degrees.

If the explanation is choppy or hard to read, apologies, its fairly hard for me to explain this.

however i hope this helps.

can you help me solve this question? ​

Answers

The y- intercept is 4. M= 2/3

The y intercept is 4. M=2/3

I WILL GIVE BRAINLIEST! PLEASE TAKE YOUR TIME!
Use the order of operations to evaluate the expression below.
12 + 24 / 10 - 4) x (9 - 7) - 17

Answers

Answer:

-27.6

Step-by-step explanation:

I'm smart but probably shouldn't use my answer

Help please! I’m really confused

Answers

Answer:

f(3) = -2

General Formulas and Concepts:

Reading a Cartesian PlaneReading coordinates

Step-by-step explanation:

f(3) simply means that the x values equals 3. x = 3

The question is asking for the y-value when x = 3.

According to the graph, when x = 3, y = -2.

Therefore, f(3) = -2.

baker has 5\dfrac145 4 1 ​ 5, start fraction, 1, divided by, 4, end fraction pies in her shop. She cut the pies in pieces that are each \dfrac18 8 1 ​ start fraction, 1, divided by, 8, end fraction of a whole pie.

Answers

Answer:

The answer is "She cut a total of 42 pieces of pie".

Step-by-step explanation:

Given :

Total pie=  [tex]5 \frac{1}{4}[/tex]

cut pie = [tex]\frac{1}{8}[/tex]

The number of pieces of the pie she has=?

Solve the mixed fraction value:

[tex]\to 5 \frac{1}{4}= \frac{21}{4}[/tex]

If she cuts the pieces into the entire pie, that is  = [tex]\frac{1}{8}[/tex]  

So, the equation is:

[tex]\to \frac{21}{4} = \frac{1}{8} \times x[/tex]

[tex]\to x= \frac{21 \times 8}{4}\\\\ \to x= 21 \times 2\\\\ \to x=42[/tex]

12/75=x/120 What is x?

Answers

Answer:

x = 18

Step-by-step explanation:

Answer:

19.2

Step-by-step explanation:

120/75=1.6

12 times 1.6=19.2

Find the equation of the line that contains the point (-1, -4) and is parallel to the line 6x+7y=13 . Write the equation in​ slope-intercept form, if possible.

Answers

Answer:  [tex]y=-\dfrac67x-\dfrac{34}{7}[/tex]

Step-by-step explanation:

Slope-intercept form: y=mx+c   (i) , of linear equations,  m= slope and c= y-intercept of the line.

6x+7y=13in slope intercept form would be :

[tex]7y=13-6x\\\\\Rightarrow\ y=\dfrac{-6}{7}x+\dfrac{13}{7}[/tex]

Comparing to (i) , [tex]m = \dfrac{-6}{7}[/tex]

Slope of parallel lines are equal.

So, slope of required line = [tex]m = \dfrac{-6}{7}[/tex]

Equation of line with slope m and passes through point : [tex](y-b)=m(x-a)[/tex]

So, equation of required line:

[tex](y-(-4))=\dfrac{-6}{7}(x-(-1))\\\\\Rightarrow\ (y+4)=\dfrac{-6}{7}(x+1)\\\\\Rightarrow\ y+4=\dfrac{-6}{7}x-\dfrac{6}{7}\\\\\Rightarrow\ y=-\dfrac67x-\dfrac{6}{7}-4\\\\\Rightarrow\ y=-\dfrac67x-\dfrac{34}{7}[/tex]

4.5x10^2 in standard notation

Answers

Answer:

450

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

Simplify the expression: 3(q + 11) - 4

Answers

Answer:

8

Step-by-step explanation:

Write this statement as a conditional statement in the form “if p, then q.”

A ray divides an angle into two congruent angles. So, the ray is an angle bisector.

Answers

Answer:

if a ray divides an angle into two congruent angles, then the ray is an angle bisector.

Step-by-step explanation:

if p statement is before the comma, called the hypothesis of the conditional statement.

then q statement is after the comma and it is called the conclusion of the conditional statement.

For the function f(x) = 3(x - 1)2 + 2, identify the vertex, domain, and range.
The vertex is (1, 2), the domain is all real numbers, and the range is y> 2.
The vertex is (1, 2), the domain is all real numbers, and the range is y < 2.
O The vertex is (-1, 2), the domain is all real numbers, and the range is y> 2.
The vertex is (-1,2), the domain is all real numbers, and the range is ys 2.

Answers

Answer:

8

Step-by-step explanation:

Answer:D is incorrect

Helppppppppmeeeeeeeeeeeeeeee

Answers

hahahhahahahahahhshahahahshhahxbcismc

Step-by-step explanation:

okay

How can properties of operations be used to add expressions?

Answers

Use this. Hope it helps

120-75+105 please do it in order

Answers

Answer:

150

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

120-75=45

45+105=150

120-75+105=150

On another day, Martin bought 123
5
pounds of grapes for a picnic. His friend bought 3
8
of that amount. Use compatible fractions to estimate how many pounds of grapes Martin’s friend bought.

123
5


3
8


Martin's friend bought about
pounds of grapes.

Answers

Answer:

The answer is 123

5

✔ 12 1/2

3

8

✔ 1/2

Martin's friend bought about  

✔ 6 ¼

pounds of grapes.

The number of pounds of grapes that are bought will be  [tex]4\frac{29}{40}[/tex]  pounds.

What is fraction?

Fractions are used to represent smaller pieces (or parts) of a whole.

Given the information that Martin bought 12 3/5 pounds of grapes for a picnic, while his friend bought 3/8 of that amount.

Therefore, the amount that his friend bought will be:

= 3/8 × 12 3/5

= 3/8 × 63/5

= 189/40

= [tex]4\frac{29}{40}[/tex]

Hence,  the number of pounds of grapes that are bought will be  [tex]4\frac{29}{40}[/tex]  pounds.

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identify the equation in the point-slope form the line parallel to y=3/4x-4 that passes through (-1,7)

Answers

y = 3/4x -4
The slope is 3/4 since it is written in the form y =mx+b where m is the slope
We want a line that is parallel so it will have the same slope
We know the slope of the new line (3/4) and a point (-1,7)
So we can use the point slope form of the equation
y-y1 = m(x-x1)
y-7 = 3/4(x--1)
y-7=3/4(x+1)
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