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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Q3.
The length of a car is 3.6 metres.
Karl makes a scale model of the car.
He uses a scale of 1 cm to 30 cm.
Work out the length of the scale model of the car.
Give your answer in centimetres.
The length of the scale model of the car is 120 cm
Working out the length of the scale model of the car.From the question, we have the following parameters that can be used in our computation:
Length of a car = 3.6 meters
We have the scale to be
Scale = 1 cm to 30 cm
This means that
Scale = 1 cm : 30 cm
using the above as a guide, we have the following:
Scale : 3.6 meters = 1 cm : 30 cm
So we have
Scale = 3.6 m * 1 cm/30 cm
Evaluate
Scale = 0.12 m
Convert to cm
Scale = 120 cm
Hence, the length of the scale model of the car is 120 cm
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How do you divide mixed fractions
Answer:
See my explanation below.
Step-by-step explanation:
Let's start with two random mixed numbers.
[tex]4\frac{3}{5}[/tex] ÷ [tex]5\frac{1}{4}[/tex]
The first step is starting with [tex]4\frac{3}{5}[/tex]. Think about going from the denominator to the number on the left. After you remember that rule multiply 4 by 5. You should get 20. After that, you add by the numerator. 20 + 3=23
This is how it would be written.
[tex]\frac{23}{5}[/tex]
Do the same for the next mixed number. 5 x 4 = 20 and add by the numerator 21.
[tex]\frac{21}{4}[/tex]
After this is done. You will multiply by those fractions. [tex]\frac{23}{5}[/tex] x [tex]\frac{21}{4}[/tex] = [tex]\frac{483}{20}[/tex] we would write it as [tex]24\frac{3}{20}[/tex] as a mixed fraction.
I hope this helps!
5. Noah and his friends are going to an amusement park. The total cost of admission for 8
students is $100, and all students share the cost equally. Noah brought $13 for his
ticket. Did he bring enough money to get into the park? Explain your reasoning.
Answer:
yes
Step-by-step explanation:
he did because 100 divided by 8 is 12.5 and that would equal $12.50
So in all he would have 50 cents left
Answer:
yes,Noah did bring enough money for the ticket.
Step-by-step explanation:
you know that it's going to 8 students and in total it's 100.You need to know how much each will need to pay so you divide 100 divided by 8.The quotient/answer to what each student will pay is 12.5. 13 dollars is more than enough to pay for the ticket so Noah did bring enough.
There are
150
150150 students in an eleventh grade high school class. There are
45
4545 students in the soccer team and
35
3535 students in the basketball team. Out of these students, there are
20
2020 who play on both teams.
Let
A
AA be the event that a randomly selected student in the class plays soccer and
B
BB be the event that the student plays basketball. Based on this information, answer the following questions.
What is
P
(
A
)
P(A)P, left parenthesis, A, right parenthesis, the probability that the student plays soccer?
What is
P
(
B
)
P(B)P, left parenthesis, B, right parenthesis, the probability that the student plays basketball?
What is
P
(
A
and
B
)
P(A and B)P, left parenthesis, A, start text, space, a, n, d, space, end text, B, right parenthesis, the probability that the student plays soccer and basketball?
What is
P
(
A
|
B
)
P(A | B)P, left parenthesis, A, start text, space, vertical bar, space, end text, B, right parenthesis, the conditional probability that the student plays soccer given that he or she plays basketball?
Answer:
P(a)=0.3
P(b)=0.23
P(a&b)=0.13
P(a|b)=0.57
Step-by-step explanation:
Girl can I say this was very hard to read try better next time
By using a venn diagram we can figure out that out of the 150, 45 play soccer, 35 play basketball, 20 play both, 25 play exclusively soccer and 15 play exclusively basketball and 60 students in total play either
Let A be the probability of a student playing soccer and B be the probability of a student playing basketball
P(A)= 45/150
P(B)=35/150
P(A&B)=20/150
P(A|B)= 20/35
ILL MARK U BRAINLIEST IF U DO THIS AND GET IT RIGHT
Answer:
Step-by-step explanation:
1.
The x's and y's will shift to the right and upward. This will make the shape larger because we are multiplying each point (x, y) by 2 [2(x, y)]. The new shape is similar since it is practically the same exact figure with a different scale. Furthermore, the angle measurements are congruent.
2. This will shift the x's and the y's upward and to the right making the shape larger although the shape will be stretched and will not be similar in terms of angle measures and other factors.
3. This will make the figure larger although the angle measurements will not be preserved and a new shape will form. This will not be similar from the original one since it will be stretched and the angles measurements are not congruent..
Help me fot this ex.1
Please Read: I do not speak Bulgarian, but if it's looking for coordinates, I'll try to give possible answers that may help you
Answers:Expand Answer: [tex]y=x^{2} +4[/tex] = [tex]y= (x+2)(x-2)[/tex]
Answer: [tex]y= (x+2)(x-2)[/tex]
X- intercept(s): Set y to 0 and solve ( [tex]0=x^{2}+4[/tex] , [tex]4=x^{2}[/tex] , [tex]\sqrt{4} =x[/tex], [tex]x= 2, -2[/tex])
Answers: [tex]x= 2, -2[/tex]
Y- intercept: Set x to 0 and solve ( [tex]y= 0^{2}+4[/tex], [tex]y=0+4[/tex], [tex]y=4[/tex])
Answer: [tex]y=4[/tex]
Graph:
Answer: See attached image
I apologize if this doesn't help you but I tried to list every possible algebraic answer that it would be asking for. Good luck with your mathematics class!
Mr. Morgan invested $20,000 in an account earning 4.5% annual interest. How many years would it take for him to earn 5400 in a simple interest
A store is selling gloves for $7.50 each. Which equation represents the total
cost of gloves?
A) 7.5 # of gloves = total cost
B) # of gloves = 7.5. total cost
C) 7.5 = # of gloves = total cost
D) total cost = # of gloves = 7.5 # of gloves
Helpppp pleaseee
Answer: I’m late but A
Step-by-step explanation:
HELP ME PLSSS ASAP !!!!!!!!!!!!!!!!
Answer:
111.2
Step-by-step explanation:
The square root and the ^2 cancel each other out so the number stays the same or 111.2
Using the graph below, what is the value of f(6) ?
Polynomial mixing with Modulus. First time to see this in my life.
So from the graph it must be even-degree polynomial. It must be 4-degree polynomial judging from the x-intercepts.
There's a fraction/decimal as roots so... Just look from the graph.
When x = 6 or f(6), y = -2 as shown in the graph.
So f(6) = -2
Write an equation of a line in slope-intercept form that is perpendicular to the line y = -2x + 1 and passes through the
point (4,5)
your answer luv- y-1/2x-7
Can someone help me plz
Answer:
6^(7/3)
Step-by-step explanation:
Given 6^2 * cubed_root(6).
The cube root is also equal to 6^1/3
[Multiply the terms, add the powers]
6^2 * 6^(1/3) = 6^(2 + 1/3) = 6^(7/3)
Which function is nonlinear? A.9y+3=0 B. y-4x=1 C.y=2+6x4 D.x-2y=7 E.x/y+1=2
Answer:
c
Step-by-step explanation:
Answer:
9y+3=0 is linear
y-4x=1 is linear
y=2+6x4 is not linear
x-2y=7 is linear
x/y+1=2 is linear
Is none proportional it proportional
Answer:No it is not proportional
Step-by-step explanation:
The reason non proportional is not proportional is bc it's not proportional.
Answer:
It's not proportional
Step-by-step explanation:
I can tell you that if you have, for example, 2 spring rolls and they are eaten by 4 people, then 1 spring roll is eaten by 2 people. That is proportional, becuase the amount of people is always dependened of the amount of spring rolls. But here, for 1 hour here, you get paid 52 dollars. If it was proportional, for 2 hours you'd be paid 104 dollars.
The perimeter of a rectangle is equal to 163 yard. The width is 8 more than twice the length. Find the length and width.
Answer:
l = 29.4 yards
w = 66.8 yards
General Formulas and Concepts:
Order of Operations: BPEMDASPerimeter of a Rectangle: P = 2w + 2lStep-by-step explanation:
Step 1: Define
P = 163 yards
w = 2l + 8
l = l
Step 2: Set up equation
P = 2w + 2l
163 = 2(2l + 8) + l
Step 3: Solve for l
Distribute 2: 163 = 4l + 16 + lCombine like terms: 163 = 5l + 16Subtract 16 on both sides: 147 = 5lDivide both sides by 5: 147/5 = lRewrite: l = 147/5Evaluate: l = 29.4 yardsStep 4: Find w
Define: w = 2l + 8Substitute: w = 2(29.4) + 8Multiply: w = 58.8 + 8Add: w = 66.8 yardsEvaluate 2x + 6 - 10x = 30
Answer:
-3
Step-by-step explanation:
Simplifying
2x + 6 + -10x = 30
Reorder the terms:
6 + 2x + -10x = 30
Combine like terms: 2x + -10x = -8x
6 + -8x = 30
Solving
6 + -8x = 30
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + -8x = 30 + -6
Combine like terms: 6 + -6 = 0
0 + -8x = 30 + -6
-8x = 30 + -6
Combine like terms: 30 + -6 = 24
-8x = 24
Divide each side by '-8'.
x = -3
Simplifying
x = -3
Answer:
x=-3
Step-by-step explanation:
Write the equation.
2x+6-10x=30 Combine like terms.
-8x+6=30 Subtract 6 on both sides.
-6 -6
-8x=24 Divide by -8 on both sides.
/-8 /-8
x=-3
Hope this helps!! Have a great day ^^
Malia has her $10.00 allowance to spend at the fall carnival. She decides to order two ice cream cones for herself and her sister for $2.35 each. What is the resulting change in Malia's allowance?
Answer:
Malia would have $5.30 left
Step-by-step explanation:
2.35 x 2 = 4.70
10.00 - 4.70 = 5.30
Answer:
5.93
Step-by-step explanation: hopeed i helped
If you use synthetic division for this polynomial: 3x^5-12x^4+12x^3+30x^2-39x-42. What would the answer be?
Answer:
[tex]3(x+1)^2(x-2)(x^2-4x+7)\\\\[/tex]
I hope this helps and good luck!
At a sporting goods store, the price of a bicycle is $650. During a sale, this price is marked down 45%. What is the sale price of the bicycle? Enter your answer in the box. $
Answer:
$357.5
Step-by-step explanation:
Answer:
347.50
Step-by-step explanation:
you have to put the 0 at the end i didnt and got it wrong.
Solve the
9x+42=4x-13
The solution is x=
Answer:
x = -11
Step-by-step explanation:
9x+42=4x-13
(add 13 to both sides)
9x+55=4x
(subtract 9x from both sides)
55=-5x
(divide by -5)
-11 = x
You isolate the x term basically.
First you bring 4x from the right hand side to the left hand side and so the equation would be: 9x - 4x + 42 = -13
Then you bring 42 from the left hand side to the right hand side so the equation would look something like this: 9x - 4x = -13 - 42
Next subtract the x terms and the numbers on the right hand side too so you get: 5x = -55
Remove the coefficient from x and bring it to the right hand side with the operation as division. So you get: x = -55/5
Solve the division and you get: x = -11
:D
please help asap!!!!!!!:(
Answer:
marbles
Step-by-step explanation:
it got the smallest mass among all options.
Find the unit rate.
8 birds in 2 nests =
birds per nest
8 birds in 2 nests =___birds per nest
Answer:
4
Step-by-step explanation:
8/2=4
hope this helps :3
if it did pls mark brainliest
Answer:
try math-way
Step-by-step explanation:
WILL GIVE BRAINLIES- ARITHMETIC SEQUENCE
Answer:
2,322,775
Step-by-step explanation:
[tex] a_1=4\\\\
a_i=a_{i-1}+11\\\\
\implies a_2=a_{2-1}+11\\a_2= a_1+11 \\a_2= 4+11 \\a_2= 15\\\\
d = a_2-a_1 \\d= 15-4 \\d= 11\\\\
S_{650}=?\\\\
\implies n = 650\\\\[/tex]
By the formula of sum of an Arithmetic Sequence
[tex] S_n= \frac{n}{2} [2a_1+(n-1)d]\\\\
S_{650}= \frac{650}{2} [2\times 4+(650-1)\times 11]\\\\
S_{650}= 325 [8+649\times 11]\\\\
S_{650}= 325 [8+7,139]\\\\
S_{650}= 325\times 7,147\\\\
\huge \red {\boxed {S_{650}=2,322,775}} [/tex]
Explain why the lines are parallel given the angles shown. Assume that all tile patterns use this basic shape.
Picture provided
supplementary angles
converse of alternate interior angles theorem
will give brainlist!
Passing through (-3,2) and (6,2) what is the slop intercept form of the equation of the line?
Answer:
The slope would be 0
Step-by-step explanation:
The y is the same, and it's not rising or running. The y will never change no matter what x is. Hope this helps!
The chart shows the distances, in miles, between some towns and cities.
Toby lives in Wrexham and works in Oswestry.
Wrexham
18
Ruthin
a) Use the chart to find the road distance
between Wrexham and Oswestry.
15
21
12
Corwen
15
33
23
Oswestry
Sarah lives in Ruthin and works in Oswestry for
5 days a week. Each day she travels to and
from work using the route shown on the map.
MOLD
ROTHEN
WRESTHAM
b) How many miles, in total, does she travel to
and from work each week? 231 miles
CORNEN
OSWESTRY
Choose CI
Answer:
part a)15
part b)330
Step-by-step explanation:
(a) The road distance between Wrexham and Oswestry is 15 miles.
(b) The number of miles Sarah travels to and from work each week is 330 miles.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
Given a chart of the road distances between various towns and cities.
(a) From the chart,
Distance the corresponds to Wrexham and Oswestry = 15 miles
Road distance between Wrexham and Oswestry is 15 miles.
(b) Distance between Ruthin and Oswestry = 33 miles
Total distance travelled to and from work in a day = 33 × 2 = 66 miles
She works 5 days a week.
Total distance travelled for 5 days = 66 × 5 = 330 miles
Hence the number of miles travelled by Sarah in a week is 330 miles.
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The chart is given below.
What do I write????!??!!????????!!!!!
Answer: Write your answers in the box, if you have spaces.
Step-by-step explanation:
WILL GIVE BRAINLEAST,,Which of the following is true?
A. |−4| < 3
B. |−4| < |3|
C. |−3| < −4
D. |−3| < |−4|
Answer:
D
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
A. |−4| < 3 = 4 < 3
B. |−4| < |3| = 4 < 3
C. |−3| < −4 = 3 < −4
D. |−3| < |−4| = 3 < 4
Which statement is true ?
Answer:
the graph of w passe through point (8,-6)
Step-by-step explanation:
When you draw a line through points (-5, 7) and (3, -1) points (8,-6) also meets the line segment at the very bottom.
Answer:
The graph of w passes through (8,-6) (FIRST ANSWER)
Step-by-step explanation:
The equation of the graph is -1x+2, therefore no other answer works
The slope is -1, not 2
The Y-intercept is (0,2), NOT the X-intercept
The zero is 2, not -1
Therefore, the only correct answer is The graph of w passes through (8,-6)
I hope this helps and good luck!
