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

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)}

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)

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.

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.

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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Helppppppppmeeeeeeeeeeeeeeee

Answers

hahahhahahahahahhshahahahshhahxbcismc

Step-by-step explanation:

okay

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

Answers

Answer:

what is this? need some explanations

Answer:

what r u trying to explain

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]

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.

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

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]

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

Answers

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[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]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

4.5x10^2 in standard notation

Answers

Answer:

450

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

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

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

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.

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]

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

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

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

can you help me solve this question? ​

Answers

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

The y intercept is 4. M=2/3

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

How can properties of operations be used to add expressions?

Answers

Use this. Hope it helps

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

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.

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

Answers

Answer:

8

Step-by-step explanation:

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

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