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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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.
identify the equation in the point-slope form the line parallel to y=3/4x-4 that passes through (-1,7)
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]
can you help me solve this question?
The y intercept is 4. M=2/3
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]
4.5x10^2 in standard notation
Answer:
450
Step-by-step explanation:
Answer:
450
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.
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.
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
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.
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
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]
.........................
Answer:
what is this? need some explanations
Answer:
what r u trying to 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
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.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
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
Combine and simplify the following radical expression. 3^ square root 6 x 3^ square root 4
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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]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
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:
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Step-by-step explanation:
okay
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
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.
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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
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
How can properties of operations be used to add expressions?
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.
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)}
Reasoning How can you find the slope of the
line that passes through the points (0, 0) and
(2, 4)? Explain.
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
Simplify the expression: 3(q + 11) - 4
Answer:
8
Step-by-step explanation: