What's the axis of symmetry of y = 3x2 - 6x + 4
Answers
Answer: The axis of symmetry = 1
That's a vertical line passing through 1 on the x-axis
Step-by-step explanation: From standard form, ax² + bx + c
Use the values of a and b in the equation x = -b/2a to find s, the axis of symmetry.
x = -(-6)/2(3)
x = 6/6
x = 1
The required axis of the symmetry of the given parabola is x = 1.
Given that,
To determine the axis of symmetry of y = 3x² - 6x + 4.
A parabola is a cross-section cut out of the cone and represented by an equation.
Here,
The axis of symmetry of a parabola is given by -b/2a
Now. from the given parabolic equation y = 3x² - 6x + 4. we have a = 3 and b = 6.
Substitute the value in the symmetry equation
Axis of symmetry, x = -(-6)/2(2)
x = 1
Thus, the required axis of the symmetry of the given parabola is x = 1.
Learn more about parabola here:
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Related Questions
¿que son los grafos triviales?
Answers
Answer:
la respuesta
Step-by-step explanation:
perdon si no es
What is the step. some help
Answers
Answer:
Step-by-step explanation:
LM=2x+24
MN= x+28
LN=31
LN=(2x+24)+(x+28)
31=(2x+24)+(x+28)
solve
31=(2x+24)+(x+28)
31-24-28 = 2x +x
-21=3x
-7=x
There are 14 crayon and 30 markers in a pencil box. What is the ratio of crayon s to items in the pencil box?
Answers
Answer:
14 to 44
Step-by-step explanation:
14 + 30 = 44 (this number represents total items)
There are 14 crayons
Therefore the answer Is 14 to 44
which of the following tables can be generated from the equation y equals 2x + 1
Answers
Answer: 2 the first one
Step-by-step explanation:
Answer: the first one
Step-by-step explanation:
Hallar la ecuación de la hipérbola que tiene focos en (-5,-11) y (-5,3) y vertice (-5,-8) y (-5,0) ayuda porfa
Answers
Answer:
SPANISH TALK THE ENGLSH
Step-by-step explanation:OKKK
OK I GIV ANSWER TALK ENGLISh
Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?
Answers
Every pound is $2
6*3+2
Answer:
20
Step-by-step explanation:
Ryan feeds his chicken 1/ 3 cups of grain per day. The grain container has 6 cups of grain left. For how many days can Ryan feed the chicken?
Answers
Answer:
18 days
Step-by-step explanation:
1 cups=3 days
2 cups=6 days
3 cups=9 days
4 cups=12 days
5 cups=15 days
6 cups=18 days
Can I see a picture of this
Answers
A random sample of size 1,000 is taken from a population where p = .20.
Find P( < .18).
A. .9429
B. .0571
C. .2643
D. .0793
Answers
A: .9429 Z =.22-.20
The value of P( < 0.18) is 0.057.
What is p value?The probability, for a particular statistical model, that the statistical summary would be equal to or more extreme than the actual observed results if the null hypothesis were true is known as the P value.
Given:
Sample Size = 1000
and, p= 0.20
So, P( P' < 0.18)
= P ( P'- P / √ P(1- P)/ n < 0.18 - 0.20 / √ 0.2 (1- 0.2)/ 1000 )
= P ( P'- P / √ P(1- P)/ n < -0.02/ 0.0126)
= P ( P'- P / √ P(1- P)/ n < - 1.582)
= P( z < - 1.582)
= 0.056939
= 0.057
Learn more about p- value here:
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D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is m∠DEF? A. 30° B. 45° C. 60° D. 90°
Answers
Pleaseeeeee help please
Answers
you can discover b = 20 since the line intersects the y-axis on the coordinates: (0,20)
SCREEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
2.4 m
Step-by-step explanation:
What's the largest odd number you can make using all four digits 4, 5, 3, 6
Answers
Answer:
6543
Step-by-step explanation:
Not much to explain lol
Here,
Odd numbers are 3 and 5.
5>3The largest odd number =6543
Part A: What is the measure of angle x? Show your work. (5 points)
Please hurry I'll give brainlest.
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)
AB and CD are parallel lines, and PQ and PR are transversals which intersect AB at P and CD at Q and R. Angle APQ is labeled as 64 degrees, angle QPR is equal to x, angle PRD is equal to 110 degrees.
Answers
Answer:The missing part of ∠R = 70°. Hence, you can find the missing ∠R in the triangle (70°). 180°-110°=70°
Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46
I hope this helps!
Step-by-step explanation:
Answer:
Answer:The missing part of ∠R = 70°. Hence, you can find the missing ∠R in the triangle (70°). 180°-110°=70°
Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46
−3/4+(1/10÷2/5) plz hurry
Answers
Answer:
-.71
Step-by-step explanation:
-3/4+ ((1/10)/(2/5))
After driving 120 miles you completed 3/4 of the trip. How long was the entire trip
Answers
Answer:
160
Step-by-step explanation:
120/3 = 40
40 x 4 = 160
May I have brainliest please? :)
120 + 40 = 160 miles
An airplane is preparing to land at an airport. It is 44,8000 feet above the ground and is descending at the rate of 3,100 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,500 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be? Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation.
Answers
Answer:
Time: 8 minutes
Altitude: 20000ft
Method 1 is easiest
Method 3 is easiest
Step-by-step explanation:
Given
Airplane 1:
[tex]Height = 44800 ft[/tex]
[tex]Descending\ Rate = 3100ft/min[/tex]
Airplane 2:
[tex]Ascending\ Rate = 2500ft/min[/tex]
Required
Determine when both planes would be at the same altitude?
Let the minute be represented by m
For Airplane 1, Its altitude at any height h is:
[tex]Airplane\ 1 = Height - Descending\ Rate * m[/tex]
It is minus (-) because the airplane is descending
[tex]Airplane\ 1 = 44800 - 3100 * m[/tex]
[tex]Airplane\ 1 = 44800 - 3100m[/tex]
For Airplane 2, Its altitude at any height h is:
[tex]Airplane\ 2 = Ascending\ Rate * m[/tex]
[tex]Airplane\ 2 = 2500 * m[/tex]
[tex]Airplane\ 2 = 2500m[/tex]
Method 1:
For both heights to be equal, we have that:
[tex]Airplane\ 1 = Airplane\ 2[/tex]
This gives:
[tex]44800 - 3100m = 2500m[/tex]
Collect Like Terms
[tex]44800 = 2500m + 3100m[/tex]
[tex]44800 = 5600m[/tex]
[tex]5600m = 44800[/tex]
[tex]m = 44800/5600[/tex]
[tex]m = 8\ min[/tex]
Hence, the time they will be at the same altitude is 8 minutes
Substitute 8 for m in
[tex]Airplane\ 2 = 2500m[/tex]
[tex]Airplane\ 2 = 2500 * 8[/tex]
[tex]Airplane\ 2 = 20000\ ft[/tex]
Hence, they will be at the same altitude at 20000ft
Method 2:
We have that:
[tex]Airplane\ 1 = 44800 - 3100m[/tex]
[tex]Airplane\ 2 = 2500m[/tex]
Since they are to be at the same altitude, then
The difference in their altitude must be 0
i.e.
[tex]Airplane\ 1 - Airplane\ 2 = 0[/tex]
This gives
[tex]44800 - 3100m - 2500m = 0[/tex]
[tex]44800 - 5600m = 0[/tex]
Collect Like Terms
[tex]5600m = 44800[/tex]
[tex]m = 44800/5600[/tex]
[tex]m = 8\ min[/tex]
Substitute 8 for m in
[tex]Airplane\ 1 = 44800 - 3100m[/tex]
[tex]Airplane\ 1 = 44800 - 3100 * 8[/tex]
[tex]Airplane\ 1 = 44800 - 24800[/tex]
[tex]Airplane\ 1 = 20000\ ft[/tex]
Method 3:
We have that:
[tex]Airplane\ 1 = 44800 - 3100m[/tex]
[tex]Airplane\ 2 = 2500m[/tex]
Since they are to be at the same altitude, then
The ratio of their altitudes must be 1
i.e.
[tex]\frac{Airplane\ 1}{Airplane\ 2} = 1[/tex]
[tex]\frac{44800 - 3100m}{2500m} = 1[/tex]
Cross Multiply
[tex]44800 - 3100m = 1 * 2500m[/tex]
[tex]44800 - 3100m = 2500m[/tex]
Collect Like Terms
[tex]44800 = 2500m + 3100m[/tex]
[tex]44800 = 5600m[/tex]
[tex]5600m = 44800[/tex]
[tex]m = 44800/5600[/tex]
[tex]m = 8\ min[/tex]
Substitute 8 for m in
[tex]Airplane\ 1 = 44800 - 3100m[/tex]
[tex]Airplane\ 1 = 44800 - 3100 * 8[/tex]
[tex]Airplane\ 1 = 44800 - 24800[/tex]
[tex]Airplane\ 1 = 20000\ ft[/tex]
Hence;
Their altitudes must be 20000ft
Though the three methods applied uses the same logic at some point, the first method applied is still the easiest and it is a straight forward method that could be applied in solving the question.
Method 3 is the most difficult.
Which is the better buy?
48-fluid-ounce container of laundry detergent for
$5.28
3-gallon container of laundry detergent for $34.56
Answers
Answer:
3-gallon container of laundry detergent for $34.56
Step-by-step explanation:
48-fluid-ounce container of laundry detergent for $5.28
5.28 : 48 = 0.11
check your work: 0.11 x 48 = 5.28
so for the first offer you will be paying $0.11 per ounce of laundry detergent.
3-gallon container of laundry detergent for $34.56
1 gallon = 128 ounces
3 gallons = 384 ounces
34.56 : 384 = 0.09
check your work: 0.09 x 384 = 34.56
for the second offer you will be paying $0.09 per ounce of laundry detergent. 3-gallon container of laundry detergent for $34.56 is a better buy because you will be paying less for each ounce of detergent.
hope this helps!
The count of bacteria in a culture is 10 and doubles every 20 minutes. Find the population size after 11 hours. Can someone explain how to solve this?
Answers
Since you asked how to solve this, I will put the answer at the bottom.
You might not think the same way as I but I think in steps.
(1) Calculate how many times the bacteria divide in eleven hoursThe bacteria divide every 20 minutes, and will therefore divide three times every hour, 60/20 = 3.
If the bacteria grow for eleven hours, each bacterium will divide 3 times per hour × 11 hours = 33 times.
(2) Add the orginial size of bacteria into the equation(This part is edited)
(orginial size)*2^number of divisions
10*[tex]2^{33\\}[/tex]
=85899345920
What is the result when the following equation is solved? 4/5x=1
Answers
Answer:
Step-by-step explanation: 0.8
A store buys lawnmowers from the manufacturer and marks
up the price by 40% to arrive at a retail price. Fill in the
blank: The wholesale price is times the retail price.
Answers
Answer:
0.7142857
Step-by-step explanation:
Let wholesale price = x
Retail price = 40% Markup of wholesale price
Retail price = (100 + 40)% of x
Retail price = 140% of x
Retail price = 140/100 * x
Retail price = 1.4x
Hence,
Wholesale price / retail price
x / 1.4x
= 0.7142857
Hence, wholesale price is 0.7142857 of the retailer price
You find a shirt that costs 24.67 for some clothes. To get ready for Black Friday there was a discount, and the discount was 32%. How much does it cost?
Made up question :D !!!
Answers
Answer:16.78
Step-by-step explanation:
A ___________ ____________ can be written as a fraction or a ratio.
Answers
Hope this helps!!
A recipe for chicken marinade says, "Mix 3 parts oil with 2 parts soy sauce and 1 part orange juice." If you need 42 cups of marinade in all, how much of each ingredient should you use?
Answers
Answer:
We will use;
21 parts oil
14 parts soy sauce
7 parts Orange
Step-by-step explanation:
We can have all of these as a ratio
That would be;
3 + 2 + 1 = 6
For oil
3/6 * 42 = 21 parts of oil
For Soy sauce
= 2/6 * 42 = 14 parts soy sauce
For Orange
= 1/6 * 42 = 7 parts orange juice
Answer: 7 14 21
Step-by-step explanation:
6x___=42 you fill in the blanks
Find the ratio of red marbles to total marbles. Write the ratio in simplest form.
5/3
3/5
2/3
3/2
Answers
Answer:
3:5
Step-by-step explanation:
ratio is 4:6 so ratio equals 2:3
red marbles is 3/5
Angle measures and segment lengths. Algebra Find the value of each variable.
Answers
(9)
x ° = 1/2 (130° - 30°) = 50°
(due to a theorem about intersecting secants/tangents)
(11) The labeled angle subtends a minor arc of meaure 120°, which means the larger arc has a measure of 360° - 120° = 240°. Then
x ° = 1/2 (240° - 120°) = 60°
(due to the same theorem)
(13) The labeling here is a bit confusing. I'm not sure what the 70° is referring to. It occurs to me that it might be info from a different exercise, so that y ° is the measure of the angle made by the tangent to the circle with a vertex of the pentagon, and x ° is the measure of each arc that passes over an edge of the pentagon.
Each arc makes up 1/5 of the circle's circumferece, so
x ° = 360°/5 = 72°
The pentagon is regular, so each of its interior angles have the same measure of 108°. (Why 108°? Each exterior angle measures 360°/5 = 72°, since the exterior angles sum to 360°. Interior and exterior angles are supplementary, so the interior angles measure 180° - 72° = 108° each.)
The angles formed by the tangent to the circle are supplementary, so that
y ° + 108° + y ° = 180°
2y ° = 72°
y ° = 36°
What is the slope of the line that runs through points (-7,-20) and (12,18)? Write the equation of that line.
Answers
Answer:
2
Step-by-step explanation:
-20 - 18 = -38
-7 - 12 = -19
-38/-19 = 2
Answer:
The slope is 2 which means the equation would be y=2x.
Step-by-step explanation:
in a certain code "VICTORY" is coded as "YLFWRUB", then how will "SUCCESS" be coded?
Answers
Answer:
VXFFHVV
Step-by-step explanation:
PLS GIVE BRAINLIEST
Sarah earns $9 an hour at a Mort’s Pizza Palace, working 20 hours per week. She spends $3 each week for snacks at work, but saves all her other earnings. How many hours must Sarah work to buy a new phone that costs $150?
Answers
Answer:
15h
Step-by-step explanation:
Answer:
17 hours
Step-by-step explanation:
she needs 150, she spends 3 and she makes 9 per hour
153/9 = 17
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
67
Step-by-step explanation:
cause math
Answer:
It is 67
Step-by-step explanation: