What is the axis of symmetry for the graph of y=2x^2-6x+2
Use the formula below:
[tex] \large \boxed{h = - \frac{b}{2a} }[/tex]
From the given equation:
[tex] \large{y = 2 {x}^{2} - 6x + 2}[/tex]
Substitute a = 2 and b = -6 in the formula.
[tex] \large{h = - \frac{ - 6}{2(2)} } \\ \large{h = - \frac{ - 6}{4} } \\ \large{h = - \frac{ - 3}{2} \longrightarrow \boxed{h = \frac{3}{2} }}[/tex]
Since h is from (h,k). From an ordered pair, h = x and k = y. When answering the axis of symmetry, you should answer in term of x.
Answer
The axis of symmetry is x = 3/2In a petri dish, a certain type of bacterium doubles in number every 20
minutes
There were originally 8, or 23 bacteria in the dish. After 140 minutes, the
number of bacteria has doubled 7 times, multiplying by 27.
Now the population of bacteria is 23.27. Expressed as a power, how many
bacteria are in the petri dish after 140 minutes?
O A. 210
B. 410
C. 27
D. 221
SUBMIT
Using the equation for the line of best fit what is a good approximation for x when f(x) =30?
Answer:
48.6
Step-by-step explanation:
Given the equation for the line of best fit ; f(x) ≈ 1.8x − 5.4 ;
This equation is used to make prediction for any given value of x ; Here, we are to make prediction for when x = 30
f(x) ≈ 1.8x − 5.4 ; we substitute into the equation, x = 30
f(30) = 1.8(30) - 5.4
f(30) = 54 - 5.4 = 48.6
Prediction at x = 30 is 48.6
Calculate the arithmetic mean 24, 36, 52, 48, 64, 40.
Answer:
Mean: 44
Step-by-step explanation:
1. 24 + 36 + 52 + 48 + 64 + 40 = 264
2. 264 divided by 6 = 44
(I divided it by 6 because there are 6 numbers (data points).)
Whenever the test results in NY are given, a study shows that 4.6 in 5 people get at least one B. The rest of the 0.4 people get straight As. If there are 5.4 million people receiving their report card, how many get As? Bs?
Answer:
around 432000 people have straight A's.
around 496800 people have at least one B/B's.
Step-by-step explanation:
[tex]\frac{4.6}{5} = \frac{x}{5400000}\\\\5x = 2484000\\\\\frac{5}{5}x = \frac{2484000}{5} \\x = 4968000\\\\5400000 - 4968000 = 432000\\\\[/tex]
around 432000 people have straight A's.
around 496800 people have at least one B/B's.
PLS HURRY I’LL GIVE BRAINLIEST!!!!!!
If one gallon of paint covers 270 square feet, how many gallons of paint will be needed to cover the shed, not including the roof? If a gallon of paint costs $25, about how much will it cost to paint the walls of the shed?
Answer:
$58.5
Step-by-step explanation:
the surface area of the shed =
[2×(11+15)×11] +[2×½×15×4]
= 572 +60
= 632 ft²
the total costs = 632/270 × $25 = $58.5
Please help, show work! Limits and functions! 85 points!
Answer:
Ok I might misunderstand this but this is what I got ( in order )
Write three solutions for the inequality 13 - 8X < -11
Answer:
x > 3
-x < -3
3 < x
-3 > -x
Step-by-step explanation:
-8x < -24
x > 3
-x<-3
The model below represents the sum of two mixed numbers.
Write an equation that shows the sum represented by the model.
Show your work.
Answer:
hey I am not sure about the answer but I guess this is the right answer:
(x+3)+x
A woman when working with her takes 2 hours to complete the housework, and takes 3 hours when working alone How long would it take the daughter to complete the housework if working alone?
The daughter will take 6 hours to complete the housework if working alone.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
A woman when working with her takes 2 hours to complete the housework and takes 3 hours when working alone.
Let's suppose y minutes taken by the daughter to complete the housework:
Rate for daughter = 1/x
1/3 + 1/x = 1/2
2x + 6 = 3x
x = 6 hours
Thus, the daughter will take 6 hours to complete the housework if working alone.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
Which expression could be used to find the volume of the prism shown below? A rectangular prism with length of 11, height of 5, and width of 8. (11 times 8) times 5 (11 + 8) times 5 (11 times 8) + 5 (11 + 5) times 8 Mark this and retu
Answer:
(11 x 8) x 5
Step-by-step explanation:
We find volumes of rectangular prims by multiplying the length by the width to get the area of a said prism, and multiplying the area by the height in order to get the volume.
Answer:
A
Step-by-step explanation:
A fair six-sided die is rolled 54 times. Theoretically, how many times should a roll of "5" occur?
-14
-9
There is no way to tell
-5
Answer:
9 times
Step-by-step explanation:
P("5") = 1/6
n("5") = 1/6 × 54 = 9
Answer:
9
Step-by-step explanation:
(the number of different possible outcomes) 1/6 * 54 = 9
Hope that this helps!
PLEASE HELP WITH THIS. WILL GIVE BRAINLEIST FOR AN ACTUAL ANSWER
Determine the distance from (-5,-6) to (3,1).
Match each expression with its equivalent expression.
a. √4x^2y^4
b. √8x^2y
c. √4x^2y
c. √16xy^2
d. √8xy^2
1. 2x√y
2. 2y√2x
3. 2xy^2
4. 2x√2y
5. 4y√x
Answer:
a -> 3
b -> 4
c -> 1
d -> 5
e -> 2
Step-by-step explanation:
We apply the properties to solve this question.
a. √4x^2y^4
[tex]\sqrt{4x^2y^4} = \sqrt{4}\sqrt{x^2}\sqrt{y^4} = 2xy^2[/tex]
So a -> 3
b. √8x^2y
[tex]\sqrt{8x^2y} = \sqrt{8}\sqrt{x^2}\sqrt{y} = \sqrt{4*2}x\sqrt{y} = \sqrt{4}\sqrt{2}x\sqrt{y} = 2x\sqrt{2}\sqrt{y} = 2x\sqrt{2y}[/tex]
So b -> 4
c. √4x^2y
[tex]\sqrt{4x^2y} = \sqrt{4}\sqrt{x^2}\sqrt{y} = 2x\sqrt{y}[/tex]
So c -> 1
d. √16xy^2
[tex]\sqrt{16xy^2} = \sqrt{16}\sqrt{x}\sqrt{y^2} = 4\sqrt{x}y = 4y\sqrt{x}[/tex]
So d -> 5
e. √8xy^2
[tex]\sqrt{8xy^2} = \sqrt{8}\sqrt{x}\sqrt{y^2} = \sqrt{4*2}\sqrt{x}y = \sqrt{4}\sqrt{2}\sqrt{x}y = 2y\sqrt{2}\sqrt{x} = 2y\sqrt{2x}[/tex]
So e -> 2
What’s the area of the rectangle
Answer:
66
Step-by-step explanation:
You multiply the length and the width. 11 times 6 equals 66
solve solve solve solve
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: \: 1 \frac{1}{15} \:(or) \: 1.0667}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{4}{5} \div \frac{3}{4} [/tex]
= [tex] \: \frac{4}{5} \times \frac{4}{3} [/tex]
= [tex] \: \frac{4 \times 4}{5 \times 3} [/tex]
= [tex] \: \frac{16}{15} [/tex]
= [tex] \: 1 \frac{1}{15} [/tex]
( OR )
= [tex] \: 1.0667[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35\:♨}}}}⋆[/tex]
Step-by-step explanation:
[tex] \frac{4}{5} \div \frac{3}{4} \\ = \frac{4}{5} \times \frac{4}{3} \\ = \frac{16}{15} \\ thank \: you[/tex]
Use the graph below to determine the equation of the circle in a center radius form and a general form
anyone mind helping me with this problem?
Answer:
x= √65, so B is the answer
Help me with this really fast
Answer:
quadratic trinomial ..........................
Can y’all help me on question 2?!
Answer:
4.5
Step-by-step explanation:
18 divided by 4 equals 4.5
Will mark Brainlest Help
find the domain and range in each of the following
Step-by-step explanation:
Domain: possible value of x
Range: possible values of y
Domain:
Given in the question
-1smaller or equal to x smaller or equal to 1
Range:
y is greater than 1, smaller than 3
[tex] \sqrt{ \frac{y - 1}{2} } = x \\ [/tex]
y cannot be smaller than 1
when substitute velue of x= 1 or negative 1
we get y=3 and any values between 1 and negative 1 when substitute in x, will give values of y in between 3 and 1.
first list all elements of x and y..
x= -1,0,1
y=2x^2+1
whenx=-1 y=2×-1^2+1=5
similarly, when x=0,y=1
x=1, y=5
therefore, domain=x={-1,0,1}
range=y={1,5}
WHICH OF THE FOLOWING EXPRESSIONS IS EQUAL TO -3x^2-12
help please! no links :)
Answer:
The answer is D-27.00 because you are rounding off to the nearest 100 I hope this helps you
Answer:
C. 26.75
Step-by-step explanation:
26.745 is rounded to 26.75
true or false m angle 1 <m angle 7
Answer:
False
Step-by-step explanation:
There might be a chance I am wrong though sorr for the inconvinience
PLEASE HELP !! Whoever gets it right gets brainliest
Answer:
21
Step-by-step explanation:
4x-2=3x+19
4x-3x=19+2
x=21
Answer:
x = 21
Step-by-step explanation:
These are opposite angles and are therefore equal.
Equate the two angles to solve for x.
4x-2 = 3x+19
subtract 3x-2 from either side (i.e. numbers on the left, and variables on the right)
4x-2 -(3x-2) = 3x+19 - (3x-2)
x = 21
check: 4x-2= 82, 3x+19=82, so solution is good.
what is the value of x to the nearest tenth
Answer:
tan90°=p/b
or,1/0=10/x
therefore x=0
Calculate the rate of change for the following data
tell me a some basic terms related bijective.
1:A function of F:R --->is defined by f(x)=x²-1,is f one to one an onto.
2:
A function F:[-2,2]-->R is defined by f(x)=x² is
F one to one and onto.
3:
A function F:[1,4]-->R is defined by f(x)=x³ is
F one to one and onto
Answer:
1. f(x) = x² - 1 is an even function.
It has two-to-one relationship since f(-x) = f(x)
The answer is no
2. f(x) = x², same as above, the answer is no
3. The function f(x) = x³ is an odd function and its inverse is:
f(x) = ∛x, which is also an odd functionBoth have one-to-one and onto relationship
The answer is yes
Deborah finds that the theoretical probability of flipping "heads" on a fair coin was 50%. After she flipped the fair coin 100 times, she calculated that she flipped "heads" 45 times. What is the percent difference in theoretical and experimental probability?
Answer:
I have the same doubt so pls answer
Step-by-step explanation:
Question 7
Find the volume.
Answer:
A: 686π≈2,156
Step-by-step explanation:
First, you need to find the area of the circle then times that by 14.
π[tex]r^{2}[/tex] Formula for the area of a circle
π[tex]7^{2}[/tex] r stands for radius, so you divide the diameter by 2 and get 7.
π49 This is the area of the circle
π49×14 Now multiply by 14
=686π This is your answer.
=2155.13256 When you times it by pi this is what you get
=2156 This is your answer if you want it rounded up
