The eight types of functions are Linear Functions, Quadratic Functions, Polynomial Functions, Exponential Functions , Logarithmic Functions, Trigonometric Functions, Rational Functions, Piecewise Functions.
1. Linear Functions: Linear functions are equations of the form y = mx + b, where m and b are constants and x is an independent variable. The equation describes a straight line when graphed. The slope of the line is m, and the y-intercept, where the line crosses the y-axis, is b.
2. Quadratic Functions: Quadratic functions are equations of the form y = ax^2 + bx + c, where a, b, and c are constants and x is an independent variable. These equations describe parabolas when graphed. The vertex of the parabola is the point (x, y) where the curve changes direction and is given by (-b / 2a, c - b^2 / 4a).
3. Polynomial Functions: Polynomial functions are equations of the form [tex]y = a_nx^n + ... + a_1x + a_0,[/tex] where a_n, ..., a_1, a_0 are constants and x is an independent variable. These equations can describe many different shapes when graphed.
4. Exponential Functions: Exponential functions are equations of the form [tex]y = a^x[/tex], where a is a constant and x is an independent variable. These equations describe exponential growth or decay when graphed. The rate of growth or decay is determined by the value of a.
5. Logarithmic Functions: Logarithmic functions are equations of the form y = log_a x, where a is a constant and x is an independent variable. These equations describe logarithmic curves when graphed. The base of the logarithm is determined by the value of a.
6. Trigonometric Functions: Trigonometric functions are equations of the form y = f(x), where f is a trigonometric function (e.g. sin, cos, tan, cot) and x is an independent variable. These equations describe sine and cosine curves when graphed.
7. Rational Functions: Rational functions are equations of the form y = (ax + b) / (cx + d), where a, b, c, and d are constants and x is an independent variable. These equations can describe many different shapes when graphed.
8. Piecewise Functions: Piecewise functions are equations of the form y = f(x) if x is in a certain interval, and y = g(x) if x is in another interval. These equations can describe many different shapes when graphed.
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can someone help me with this and tell me the steps too
Answer:
B. 2.2
Step-by-step explanation:
Volume of a rectangular prism = length*width*height
You can replace the width with the variable x for now, the height is given in the problem, and the length is 4 times the width so in this case it's 4x.
160 = 4x*x*8
160 = 32x^2
5 = x^2
The square root of five is about 2.2 so B is the correct answer
Answer:
B. 2.2ft
Step-by-step explanation:
160 is the volume
The volume of a rectangular prism is equal to its width, its length, and its height, all multiplied together.
First, we divide by the height.
160/8 = 20
Now, we find the width (w) and length (l).
4w = l
w(l) = 20
Substitute l with 4w.
w(4w) = 20
4w^2 = 20
w^2 = 5
w = √5
And since l is 4 times w.
w = √5
l = 4√5
h = 8
Since we are solving for the width, we will go with the closest to the answer closest to the square root of five.
√5 = 2.23606
Therefore, the answer is B. 2.2 ft
After reviewing her driving record for the past 3 years, Cindy's insurance company offers her a good driver discount of 4.5%. Her original policy was based on the premiums listed below. What is her new annual premium including the discount? Cindy's Auto Insurance Policy Type of Insurance Coverage Coverage Limits Bodily Injury $50/100,000 Property Damage $25,000 Collision $500 deductible Comprehensive $100 deductible Annual Premiums $31.75 $120.50 $275.75 $100.00 a $504.24 b. $523.50 C. $528.00 d. $551.76
Answer:
its A
Step-by-step explanation:
I just took the test on EDGE
The new annual premium including the discount is $504.24.
Option A is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To calculate the new annual premium with the discount, we need to find the total premium and then subtract the discount.
The total premium is the sum of the individual premiums:
Total premium.
= $31.75 + $120.50 + $275.75 + $100.00
= $528.00
The discount is 4.5% of the total premium:
So,
Discount = 0.045 × $528.00 = $23.76
The new annual premium including the discount is:
New premium = Total Premium - Discount
= $528.00 - $23.76
= $504.24
Therefore,
The new annual premium including the discount is $504.24.
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Camille put $1,250 in a new account at her bank. - The bank pays 2.25% interest compounded annually on this account. - Camille makes no additional deposits or withdrawals. Which amount is the closest to the balance of the account at the end of 5 years?
Answer:
FV= $1,397.1
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $1,250
Interest rate (i)= 2.25% compounded annually
Number of periods (n)= 5 years
To calculate the future value, we need to use the following formula:
FV= PV*(1+i)^n
FV= 1,250*(1.0225^5)
FV= $1,397.1
A waiter receives tips from each customer. On
average the tip is 15% of the customer's bill. At this
rate, which of the following is closest to the tip the
waiter can expect when a customer has a bill that is
$78.20
A) $8.00
B) 10.00
C) $12.00
D) $14.00
Answer:
B) 10.00
Step-by-step explanation:
Need answer please ty
Answer:
More detail needed
Step-by-step explanation:
The question is not clear, therefor there is no way to solve it.
Please help with this
Step-by-step explanation:
I need the graph. I'll answer if you send me the graph that is uses
Find the measure of the complement of an 18° angle.
Answer:
72°
Step-by-step explanation:
Hello There!
Complementary angles have a sum of 90 degrees
So to find the missing angle we subtract the measure of the given angle (18 in this case) from 90
90 - 18 = 72
so your answer will be 72°
What is the difference between 2386 and 7000 check your answer using inverse operations
Answer:
4,614
Step-by-step explanation:
7000 - 2396 = 4614
inverse operations
2396 + 4614 = 7000
ILL WIN BRAINLIEST YOU IF YOU GET IT RIGHT
please help me with this questions
Answer:
x=54
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
it is an alternate interior angle so those 2 angles are actually congruent and corresponding
x + 3 = 57
Subtract 3 to get x = 54
wht is 700000x4864493-490
Answer:
3.4051451e+12
Step-by-step explanation:
:/
Answer:
3.40515e12
Step-by-step explanation:
HELP!! WILL GIVE BRAINLY!
Answer:
5
Step-by-step explanation:
The answer is 5 because you subtract 125 to 45 and end up with 80. Then you divide 80 by 16 and end up with 5. Let me know if you find any faults in my answer. Thanks. Have a good day!
The angle of a triangle is 44°, 44°, and x°. What is the value of x°?
Rewrite the function in standard form.
f(x)= 3(x + 5)2 - 7
Consider a sequence whose first five terms or 1/2 1/ 4 1/8 1/16 1/32 which function can be used to determine the NTH term of the sequence. F(n)=-2n F(n)=1/2n. F(n)=(1/2) ^-n. F(n)=2^-n
Answer:
c
Step-by-step explanation:
Please help me I’m tired of these “click the link people”
Answer:the width is 2.56
Step-by-step explanation:
Which pair of statements about the lengths of two sides of the triangle is true?
Answer:
B
Step-by-step explanation:
Answer:
B is the answer!.
Consider a RST, as shown
In rest cos r=3/5. What is sin t?
Answer:
:?
Step-by-step explanation:
:?
How many degrees is arc KM?
Answer:
90 degree
Step-by-step explanation:
because is a lm perpendicular to kn
Bonjour, je suis bloqué à cet exercice, à vrai je n'ai rien compris de la consigne...
On considère les nombres A=√63×11√7×2√175 et B=√63−11√7+2√175.
1) Écrire A et B sous la forme a√7 avec a un entier.
2) Simplifier A/B.
Merci d'avance
Popcorn was donated for the school fair by 3 different popcorn vendors. They donated a total of 996 bags of popcorn. Each vendor donated the same number of bags. How many bags of popcorn did each vendor donate? Each vendor donated bags of popcorn
Answer:
let the of bag of vendors be X
3donate X bag to give 996
3×x=996
3x=996
divide both side by 3
3x\3=996\3
x=332
each vendor donated 332bags of popcorn
Please help me out . :)
Answer:
1080ft cubed
Step-by-step explanation:
The formula is "lenght times width times height."
A circle has a circumference of 41 centimeters . What is the circle's radius ? Use 3.14 for pi and round your answer to the nearest tenth
Answer:
"I hope your pillow is hot on both sides"
Step-by-step explanation:
:)
11) Original price of a lizard: $39.99 Discount: 40% Tax: 6%
Answer:
16.9
Step-by-step explanation:
.......ur welcome..........
40% of 39.99=15.95
6% of 15.95= 0.95
15.95 × 0.95=16.9
A triangle with an area of 36 square meters has a base that is 10 meters long. What is the height of the triangle
Help me with this please ASAP
Answer:
Hi, there your answer is [tex]8x^{6}[/tex]
Step-by-step explanation:
4*x^3*2*x^3
=8*x^6
Hope this helps :)
PLZ MARK ME BRAINIIEST :) the crown thingy if you don't know what it is
A circular plate has circumference 17.6 inches. What is the area of this plate?
Answer:
A≈24.65in²
Step-by-step explanation:
A=πr2
C=2πr
Solving forA
A=C2
4π=17.62
4·π≈24.64992in²
Happy Friday!
PLEASE HELP ME OUT! QUICK POINTS FOR YOU!
All information needed can be found in the image below
Thank you in advance.
Answer:
B. 254.3
Step-by-step explanation:
The formula for the area of a circle is:
[tex]A = \pi\cdot r^2[/tex]
and r is half the diameter.
[tex]r = 18in / 2 = 9in\\~\\A = \pi \cdot (9in)^2 \approx 3.14 \cdot 81in^2 = 254.34in^2[/tex]
Answer:
D. 254.3
Step-by-step explanation:
Use the formula pi times the radius squared to get the area.
The radius is nine because the diameter of the diagram is 18. (The radius is always half the diameter).
π[tex]r^2[/tex]
π[tex]9^{2}[/tex]
π81 ≈ 254.3 inches squared
BRAINLY TO WHOEVER HELPS ASAP
Answer:
2
Step-by-step explanation:
hiiii
Parveen buys 3 small bags of peanuts she gives the shopkeeper £2 and gets 80p change what is the cost of one pag of peanuts?
Answer:
$0.4
Step-by-step explanation:
Let cost per bag = x
Number of bags purchased = 3
Amount given to shopkeeper = $2
Change gotten = $0.80
(Cost per bag * number of bags purchased) + change obtained = amount given to shopkeeper
(x * 3) + 0.80 = 2
3x + 0.80 = 2
3x = 2 - 0.80
3x = 1.20
x = 1.20 / 3
x = 0.4
$0.4
If you roll a single six-sided die, what is the probability of rolling an odd number?
I am not sure but the probability could be 50% because there are 3 odd numbers on a die out of 6 and so half would be 50/100. Or 3/6.