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.
Learn more about functions here
https://brainly.com/question/2590944
#SPJ2
What is the missing number from the following sequence?
4 7 11 18 29 47 __ 123 199 322
Answer: 76
Step-by-step explanation: 29 + 47
Factorise x cube -2x square -5x plus 6
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)
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.
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?
Answer:
300 students
Step-by-step explanation:
There are two ways to solve this question.
Way Number 160 is 20% of the total students
20÷100= 0.2
60÷0.2=300
Therefore there are 300 students
Way Number 260 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.
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.
Learn more about fraction on:
brainly.com/question/9695343
#SPJ6
Helppppppppmeeeeeeeeeeeeeeee
hahahhahahahahahhshahahahshhahxbcismc
Step-by-step explanation:
okay
.........................
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.
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.
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.
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.
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
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[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
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?
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?
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
Answer:
f(3) = -2
General Formulas and Concepts:
Reading a Cartesian PlaneReading coordinatesStep-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?
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.
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
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.
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
Answer:
-27.6
Step-by-step explanation:
I'm smart but probably shouldn't use my answer
12/75=x/120 What is x?
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?
The y intercept is 4. M=2/3
120-75+105 please do it in order
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?
triangle TCL is similar to triangle AEN. solve for x and y
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?
Answer:
The Y-intercept is 1
It is where the line meets the y-axis
~PumpkinSpice1
[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
Answer:
8
Step-by-step explanation:
109 is 63% of what? Thx.
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