Answers
Answer:
f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. ... When written in "vertex form": • (h, k) is the vertex of the parabola, and x = h is the axis of symmetry.
Answer:
y =0.25(x-4 )^{2}-1
Step-by-step explanation:
The formula of vertex form is as follows:
Y = a(x-h)^2+k
h = the x value for the vertex (in this case it is 4)
k = the y value for the vertex (in this case it is -1)
If you input these into the equation you are left with:
Y = a(x-4)^2-1
To find 'a' I just entered this equation into the Desmos calculator and messed around with the value until the y-intercept was (8,3)
I hope this was able to help! ^_^
Related Questions
How to solve -10+x+4-5=7x-5 and what it equals
Answers
Answer:
- 1
Step-by-step explanation:
Step 1:
- 10 + x + 4 - 5 = 7x - 5
Step 2:
- 11 + x = 7x - 5
Step 3:
- 11 = 6x - 5
Step 4:
- 6 = 6x
Answer:
- 1 = x
Hope This Helps :)
What are the steps of determine an inverse of a function?
Answers
Step-by-step explanation:
First, replace f(x) with y . ...
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y . ...
Replace y with f−1(x) f − 1 ( x ) . ...
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
The steps for finding the inverse of a function are given below.
What is an inverse of a function?A function accepts values, performs particular operations on these values and generates an output. The inverse function agrees with the resultant, operates and reaches back to the original function.
Steps for finding the inverse of a function f.
Replace f(x) by y in the equation describing the function.
Interchange x and y. In other words, replace every x by a y and vice versa.
Solve for y.
Replace y by f⁻¹(x).
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solve for x 3/2 (4x-2) - 3x = 5-(x+2)
Answers
Answer:
x = 1.5
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask :)
The solution of the equation, (3/2)·(4·x - 2) - 3·x = 5 - (x + 2) is; x = 1.5
What is an equation?An equation is a mathematical statement indicating equivalence between two expressions.
The equation (3/2)·(4·x - 2) - 3·x = 5 - (x + 2) can be solved step by step as follows;
Distributing the (3/2) on the left hand side, we get; (3/2)·4·x - (3/2)×2 - 3·x = 5 - (x + 2)Simplify the left hand side; 6·x - 3 - 3·x = 5 - (x + 2)Combine like terms on the left hand side; 3·x - 3 = 5 - (x + 2)Distribute the -1 on the right hand side; 3·x - 3 = 5 - x - 2Combine like terms on the right hand side; 3·x - 3 = 3 - xAdd x to both sides; 4·x - 3 = 3Add 3 to both sides; 4·x = 6Divide both sides by 4; x = 6/4Therefore, the solution of the equation is; x = 6/4, or x = 1.5
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The Birdwatching Club has 8 members, 2 girls and 6 boys. What is the ratio of
girls to boys in the Birdwatching Club?
O A. 2:1
O B. 3:1
"O c. 1:3
Answers
Answer:
c 1:3
Step-by-step explanation:
2/6 divide it by 1/3 and u get 1:3
The quotient of n and 7 is 6 times n.
Answers
Answer:n ÷ 7 = 6n
Step-by-step explanation:
Answer:
76 + n
Step-by-step explanation:
-7/10 - 4/10 =
Hurry plz
Answers
Answer:
[tex] - 1 \frac{1}{10} [/tex]
Step-by-step explanation:
[tex] - \frac{7}{10} - \frac{4}{10} [/tex]
The two fraction have the same denominator , so put them under a common denominator
[tex] \frac{ - 7 - 4}{10}[/tex]
Simplify
-7-4=-11
[tex] \frac{ - 11}{10} = - \frac{11}{10} [/tex]
write in mixed fraction form
[tex] - 11 \div 10 = 1 \: remainder \: 1 \\ = - 1 \frac{1}{10} [/tex]
Trapezoid FGHJ has vertices at F(2.-3), G(2, 4), H(6,4), and J19, -3). What is the
area of the trapezoid? Show your work.
Answers
Answer:
38.5
Step-by-step explanation:
The area of the trapezoid FGHJ is 33 square units.
Given that, trapezoid FGHJ has vertices at F(2.-3), G(2, 4), H(6,4), and J(19, -3).
We need to find the area of the trapezoid.
What is the formula to find the area of trapezium?The area of a trapezium is defined as the number of unit squares that can fit into it and it is measured in square units (like cm², m², in², etc). A trapezium is a type of quadrilateral that has one pair of parallel sides(generally referred to as bases). The other pair of sides of a trapezium can be non-parallel and are known as legs. The area of a trapezium is the total space covered by a trapezium in a two-dimensional plane.
The area of a trapezium =1/2 (a+b)×h square units.
Now, area=1/2 (4+17)×6=33 square units
Therefore, the area of the trapezoid FGHJ is 33 square units.
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which figures can have 2 sides of the same lenth but are not paeallelograms? rectangle square quadrialertral isosceles trapezoid
Answers
Answer:
rectangle
Step-by-step explanation:
Amber is making a scale drawing of a movie screen. Her local theater is 60 ft wide and 200 ft tall in her scale drawing the screen has a width of 9 inches what will the height of her screen on her drawing be
Answers
Answer:
The height of her screen on her drawing must be 30 inches.
Step-by-step explanation:
The scale factor is obtained by dividing the drawn width by real width of the movie screen:
[tex]k = \frac{9\,in}{60\,ft}[/tex]
[tex]k = \frac{3\,in}{20\,ft}[/tex]
The drawn height of movie screen is the product of the scale factor and the real height of the movie screen:
[tex]h_{s} = \left(\frac{3\,in}{20\,ft} \right)\cdot (200\,ft)[/tex]
[tex]h_{s} = 30\,in[/tex]
The height of her screen on her drawing must be 30 inches.
Evaluate 2(3n−9) when n=13. 2(3n−9) =2(3⋅ −9) =2( −9) =2( ) =
Answers
Steps to solve:
2(3n - 9); n = 13
~Substitute
2(3(13) - 9)
~Simplify
2(39 - 9)
~Subtract
2(30)
~Multiply
60
Best of Luck!
Answer:
[tex]\Huge \boxed{60}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]2(3n-9)[/tex]
The value of n is 13.
[tex]\Longrightarrow \ \ 2(3(13)-9)[/tex]
Solving for brackets,
[tex]\Longrightarrow \ \ 2(39-9)[/tex]
[tex]\Longrightarrow \ \ 2(30)[/tex]
Multiplying,
[tex]\Longrightarrow \ \ 60[/tex]
[tex]\rule[225]{225}{2}[/tex]
victora took a test and got 80 percent of her question right and anwserd 20 question correctly how many question are on the test
Answers
Answer:
25 questions
Step-by-step explanation:
First set up the equation.
[tex]\frac{20}{x} = \frac{80}{100}[/tex]
To get from 20 to 80 you have to multiply by a scale factor of 4, so do the same to the bottom as well.
Do the inverse and divide 100 by 4 to get x = 25.
There were 25 questions on Victoria's test.
Anwser
25
Step-by-step explanation:
because 5 x 10 is 50 so 5 x 16 is 80 so she got an 80 but 5x 20 equals 100 so Victoria got 5 points per questions so multiply and youll find out i has to be 25 tho
F(x)=3x-7 slope intercepts form
Answers
Answer:
y=[tex]\frac{3}{1} x\\[/tex]=+(-7)
Step-by-step explanation:
-f(x) means y
-since 3 isnt a fraction put a one under it
The length of an arc of a circle is 44cm.If the radius of the circle is 42cm calculate the angle sub tended by the arc at the center of the circle
Answers
Answer:
32
Step-by-step explanation:
ASAP 1. what is the mass, in Kilograms, of a star that is 1.5×10^2 times thw mass of the sun? The sun's mass is 2.0×10^30 kg. Express the answer in Scientific notation. 2. Solve Apply the concepts to this problem. Set up the problem. (2.0 X 10^30) X (1.5 X 10^2) Multiply the coefficients. (2.0 X 10^30) X (1.5 X 10^2), (2.0 X 1.5) = 3.0 Then add the exponents. (2.0 X 10^30) X (1.5 X 10^2) = (10^30 X 10^2) = 10^30 + ^2 = 10^32, Combine the results of the two operations. (2.0 X 10^30) X (1.5 X 10^2) = 3.0 X 10^32 The star's mass is 3.0 x 10^32 kg.
* Muliply numbers written in Scientific notation by multiplying the coefficients and then adding the exponents. you will get Free huge point and a Crown!
Answers
Answer:
1. The star's mass is 3.0 x 10^32 kg.
2. The star's mass is 3.0 x 10^32 kg.
Step-by-step explanation:
1.
given:
The sun's mass is 2.0×10^30 kg.
mass of a star = 1.5×10^2 kg times the mass of the sun.
find:
Express the answer in Scientific notation.
mass of a star = 1.5×10^2 kg X 2.0×10^30 kg
mass of a star = 3.0 X 10^32 kg
therefore,
The star's mass is 3.0 x 10^32 kg.
===============================================
2.
(2.0 X 10^30) X (1.5 X 10^2)
Multiply the coefficients.
= (2.0 X 1.5)
= 3.0
then add the exponents
= 10^30 + 10^2
= 10^32
Combine the results of the two operations.
(2.0 X 10^30) X (1.5 X 10^2) = 3.0 X 10^32
therefore,
The star's mass is 3.0 x 10^32 kg.
===============================================
Answer:
1. The star's mass is 3.0 x 10^32 kg.
2. The star's mass is 3.0 x 10^32 kg.
Step-by-step explanation:
i got them correct on exam
The vertices of a figure are D(-3,-4),E(-5, 2), F(1,-1), and G(3, -7). Rotate the figure 270° clockwise about vertex E. What are the coordinates? Please i need helppppp :(
Answers
Answer:
c
Step-by-step explanation:
c
Bill measures the length of a room to be 15.125 feet. He wants to place a border on 3/4 of the length of the wall. What will be the length that he covers on the wall? Round to the nearest thousandth of a foot.
A. 11.344 feet
B. 15.000 feet
C. 17.054 feet
D. 10.275 feet
Answers
Answer:
The answer is A.
Step-by-step explanation:
15.125 * 75% = 11.343...
Rounded, that would be 11.344.
~(_8^(})
Janet’s car insurance payment decreases by $20 each year. Which expressions represent the total change in her payment,in dollars, after 5 years A. 20-20-20-20-20 B. 100 c. 5•(-20) d. -20•(-5) E. -100 pls answer my
Answers
Answer:
Option C is the correct answer.
C. 5•(-20)
Step-by-step explanation:
We are told that the insurance payment for the car follows a certain pattern that can be represented through an expression. The payment is decreasing by $20 every year. As we don't know the total payment amount per period, so we cannot calculate how much is paid per period/year for insurance but we can calculate the rate at which this payment is decreasing.
Change in payment = t * (-20)
The above expressions can be used to calculate the amount of change in payment i payment is decreasing by a constant $20 every year, after t years.
So, if we want to calculate the change in payment after say 5 years, we can replace t with 5 in the equation and calculate the change,
Change in payment = 5 * (-20)
Change in payment = - $100
Answer:
Step-by-step explanation:
oh im late-......
MATHS | Cousin needs help❤️ question bellow
Answers
Fill in the x numbers in the x which is next to -2 —> y = 6 - 2(0), y = 6 -2(1), y = 6 -2(3), and etc.
A) 0 —> 6
1 —> 4
2 —> 2
3 —> 0
4 —> -2
5 —> -4
B) Put a dot on y axis on number 6, then go down by 2 because your subtracting 2
C) 6 - 2x = 3
-6 -6
-2x = -3
-2/-2 -3/-2
X = 1.5
Point L is on line segment KM. Given LM = 2 and KM = 19, determine
the length KL.
Answers
Answer:
17
Step-by-step explanation:
i am in doubt with the answer
Answer:
[tex]\huge\boxed{KL = 17}[/tex]
Step-by-step explanation:
If L lies on the line segment KM. It means that:
K_____?__________L___2__M
|<--------------------19------------------->|
Given that:
LM = 2
KM = 19
So,
KM = KL + LM
19 = KL + 2
Subtracting 2 to both sides
KL = 19-2
KL = 17
True or false all right triangle aré congruent
Answers
Answer:
true
Step-by-step explanation:
Answer: True.
Make sure you check each triangle, not all of them are right ones.
You spend a total of 300 minutes doing math homework Monday through Friday. How many hours will you spend on math homework by the end of this semester (18 weeks)?
Answers
Answer:
90 hour
Step-by-step explanation:
300 minutes is for 1 school week
so if you multiply 300 minutes for 18 weeks it results as 5400 minutes.
300 × 18 = 5400 minutes
To get the number of hours you should divide 5400 minute by 60 minutes ( which is one hour )
5400 ÷ 60 =. 90 hours
You spent a total of 90 hours studying math in 18 weeks.
1. Two angles form a linear pair. The measure of
the larger angle is four times the measure of the
smaller angle. What is the larger angle's
measure?
Answers
Answer:
144°
Step-by-step explanation:
let the smaller angle be x then the larger angle is 4x
The sum of a linear pair of angles = 180°, thus
x + 4x = 180 , that is
5x = 180 ( divide both sides by 5 )
x = 36
Thus the larger angle = 4x = 4 × 36 = 144°
Answer:
let the smaller angle be x.Then the bigger angle will be 4x.
x+4x= 180
or, 5x=180
or, x=180/5
there fore, x=36
Again,
4x=4×36
=144
The larger angle is 144.
Use the Distributive Property to determine which of the following statements is equivalent to 3(4-2).
12-2
12-6
7-5
7-2
Answers
Answer:
12-6
Step-by-step explanation:
You multiply 3 by the number on the inside. 3x4= 12. 3x2=6.
Please help me!!!!!
Answers
Answer:
Option C
Step-by-step explanation:
[tex]f(x)=40( \frac{1}{4} )^{x} \\ x = 0\\ y = 40( \frac{1}{4} )^{0} = 40
[/tex]
x · 1 + x/1 = _____.
Answers
Answer:
2x
Step-by-step explanation:
x · 1 is equal to x
x / 1 is equal to x
this means that (x · 1 + x / 1) is the same as
x + x
x + x = 2x
Answer:2x+1
Step-by-step explanation:
Step one: Divide
Step Two:Collect like terms
The total cost renting a bicycle is $10 flat fee plus an additional $7.50 per hour. If the total cost was $55, for how many hours was the bicycle rented
Answers
What is (are) the value(s) of x when x3 = 27?
O X = 3
O X = 9
O x = 3 and -3
O x = 9 and -9
Answers
Explanation: Divide both sides by 3 to isolate the variable then divide 27 by three therefore your answer is positive nine
HOPEFULLY THIS HELPS
3 X square + 3 X - 36 by 6 x square - 24 x - 30
Answers
Step-by-step explanation:
The solution is in the above photo
which expression is equivalent to 27 + 15? A 3 × (9 + 15) B 3 × (9 + 5) C 9 × (3 + 15) D 9 × (3 + 5)
Answers
Answer:
Your answer is b
Step-by-step explanation:
27 + 15= 42
a- 9+15= 24x3= 72
b- 9+5= 14x3= 42
c- 3+15= 18x9=162
d- 3+5= 8x9= 72
Hope this helps.
Look at this graph:
10T
9
8
7
6
5
4
3
2
1
0
3
1
2
5
6
7
9
10
8
)) What is the slope?
)) Simplify your answer and write it as a proper fraction, improper fraction, or integer.
47
Answers
Answer:
The slope is 1/3. Rise over run. It goes up 1 and over 3.