Rewrite the function f(x)=2(x-1)^2-1 in the form f(x)=ax^2+bx+c
Answer:
2x^2-4x+1
Step-by-step explanation:
2(x-1)^2-1
2(x^2-2x+1)
2x^2-4x+2-1
2x^2-4x+1
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[tex]f(x) = 2 ({x - 1})^{2} - 1 [/tex]
[tex]f(x) = 2( {x}^{2} - 2x + 1) - 1[/tex]
[tex]f(x) = 2 {x}^{2} - 4x + 2 - 1 [/tex]
[tex]f(x) = 2 {x}^{2} - 4x + 1 [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
solve the quadratic equation 3x²+x-4=0
Answer:
{ - [tex]\frac{4}{3}[/tex] , 1 }
Step-by-step explanation:
3x² + x - 4 = 0
D = 1² - 4(3)(- 4) = 49 = 7²
[tex]x_{1}[/tex] = ( - 1 + 7) ÷ 2(3) = 1
[tex]x_{2}[/tex] = ( - 1 - 7) ÷ 2(3) = - [tex]\frac{4}{3}[/tex]
{ - [tex]\frac{4}{3}[/tex] , 1 }
hhhhhhhheeeeeeeeeellllllllllpppppppppp
answer: d
explantion :
Factor the numerator and denominator and cancel the common factors.
What is x when y is 204?
Answer:
x ,y = 204
Step-by-step explanation:
Jill and Katie are making bracelets to sell at The Windmill. They determined that each bracelet would have six beads and four charms.How many bracelets can they sell if they have 80 charms? show all work
Answer:
20 bracelets
Step-by-step explanation:
Since they must use 4 charms per bracelet, 80 divided by 4 is 20 so 20 bracelets can be made.
Saadia has a prepaid phone plan that charges a flat fee of $15 and an additional $0.05 per minute used each month. Let x = number of minutes used each month. A) Write an equation to model the total cost of Saadia’s monthly plan. B) If the total cost for Saadia’s phone last month was $26.15, how many minutes did she use?
Answer:
15+.05x=
223 minutes
Step-by-step explanation:
26.15-15=11.15
11.15/0.05 (cost per minute)=223 minutes
Determine what information you would need to know in order to use SAS to show that the triangles are congruent
Answer:
Option D
Step-by-step explanation:
We already have two reasons to support two sides. We have the reflexive property and that the base is divided by a midpoint. So we will need an angle.
Also, AC is the median so it divides into two congruent angles and parts
Option D, because the reflexive property is then included in that part
What is 5/8 divided by 1/4?
Answer:
The answer is 5/2
hope that helps
Answer:
2 1/2 or 5/2
Hope this helps :)
Help ASAP ASAP number 6
Can you solve this?: 5+2x=12+x
Answer:
5+2x=12+x
put all numbers and Xs on one side each
-x=7
so x=-7
In the rope climb, a 75 kg athlete climbs a vertical distance of 5.0 m in 9.0 s. What minimum power output was used to accomplish this feat?
___ W
Answer:
The minimum power output used to accomplish this feat is 408.625 watts.
Step-by-step explanation:
The minimum power is that needed to overcome potential gravitational energy at constant velocity. From Principle of Energy Conservation, Work-Energy Theorem and definition of power we obtain the following relationship:
[tex]\dot W = m\cdot g \cdot \dot y[/tex] (Eq. 1)
Where:
[tex]m[/tex] - Mass of the athlete, measured in kilograms.
[tex]g[/tex] - Gravitational constant, measured in meters per square second.
[tex]\dot y[/tex] - Climbing rate, measured in meters per second.
[tex]\dot W[/tex]- Power, measured in watts.
By the consideration of constant velocity, we get that the climbing rate is represented by:
[tex]\dot y = \frac{s}{t}[/tex] (Eq. 2)
Where:
[tex]s[/tex] - Travelled distance, measured in meters.
[tex]t[/tex] - Time, measured in seconds.
And by substituting on (Eq. 1), the following expression is found:
[tex]\dot W = \frac{m\cdot g\cdot s}{t}[/tex]
If we know that [tex]m = 75\,kg[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], [tex]s = 5\,m[/tex] and [tex]t = 9\,s[/tex], then the minimum power output is:
[tex]\dot W = \frac{(75\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (5\,m)}{9\,s}[/tex]
[tex]\dot W = 408.625\,W[/tex]
The minimum power output used to accomplish this feat is 408.625 watts.
Explain how to creatExplain how to create an equation with infinitely many solutions.
e an equation with infinitely many solutions.
Answer:
In this case, the idea is that you have to create something that makes both the right side of the equation and the left side to be equal to each other which gives you an infinite number of solutions. so if you have 5x-8 on the left, you need 5x-8 on the right for everything to cancel and end up with 0=0.
Step-by-step explanation:
Answer: You can start with any statement in the form a = a. Then add the same variable term to both sides, and add the same constant term to both sides. Combine like terms on each side.
Step-by-step explanation:
Suppose 420 randomly selected people are surveyed to determine whether or not they play sports. The sample proportion for successes is determined to be p′=0.393 and the sample proportion for failures is q′=0.607. What is the 95% confidence interval for the proportion of the population who play sports? z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576 Use the table of common z-scores above. Round the final answer to three decimal places.
Answer:
420 funny number
Step-by-step explanation:
If the radius of a sphere is reduced to one-third, by how many times does its
volume decrease?
Answer:
It can be concluded that reducing the radius to one-third will reduce the volume of sphere 1/27 times
Step-by-step explanation:
The volume of a sphere is given by the following formula:
[tex]V = \frac{4}{3}\pi r^3[/tex]
Here r is the radius of the sphere
Reducing the radius of sphere to one-third means dividing the radius by three. So the new radius will be: [tex]\frac{1}{3}r[/tex]
The new volume with the new radius will be:
[tex]V_1 = \frac{4}{3}\pi * (\frac{1}{3}r)^3\\V_1 = \frac{4}{3}\pi * \frac{1}{27}r^3\\V_1 = \frac{1}{27}(\frac{4}{3}\pi r^3)\\V_1 = \frac{1}{27}V[/tex]
The new volume is 1/27 times of the original volume.
Hence,
It can be concluded that reducing the radius to one-third will reduce the volume of sphere 1/27 times
PLEASE HELP
What is the difference (2 x minus 3) minus (x minus 1)?
x minus 4
x minus 2
x + 2
x + 4
NEED HELP ASAP!! Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.
If no, justify your answer.
Answer:
No.
There's no congruence theorem or statement that proves that 2 triangles with 2 sides and a non-included angle are congruent to each other.
Step-by-step explanation:
The triangles given, ∆ABC and ∆CYZ both have a non-included angle and two sides given that are congruent to each other.
However, this alone is not enough to prove that both ∆s are congruent to each other because there is also possiblity of another ∆ that will have the same two equal sides and a non-included angle as any of the 2, and can thereby have different shape and size.
There's also no congruency statement that proves that two triangles with congruent two sides and a non-included angle are congruent to each other.
Therefore, the information to us is not enough.
Julie opens a bank account with $500. She deposits $60 each month. Write a function that represents th
amount
that is in Julie's account after x months.
Answer:
Let Y represent the $60 deposited each month and F represent the total amount after X months. 500+Y•X= F
Step-by-step explanation:
Given: AB ∩ GF = O, E ∈ interior of ∠GOB, H ∈ interior of ∠AOF. Without changing the picture indicate:
Answer:
Step-by-step explanation:
Given that
AB n GF = O
E ∈ ∠GOB
H ∈ ∠AOF
The we can say, using similar angles or triangles, that
BF = AG
EG = AH
BG = FA
What is the equation of the line in slope-intercept form? Enter your answer in the boxes y = __x + __
Answer:
y = 3/5x + 3
Step-by-step explanation:
What is -7.9? I really need help ASAP
Answer:
Negative 7.9
Step-by-step explanation:
-7.9 is just negative 7.9.
Do you need this as fraction? If you do, I can help ^^
Find the missing Length X
Help me !!!!
A.12
B.11
C.5
Answer:
Step-by-step explanation:
Δ PQR ~ ΔJKL ⇒ PQ : JK = PR : JL
9 : 6 = x : 8
6x = 72 ⇒ x = 12
randy has 30 rooms to clean in his house he completes 1/2 of cleaning his room in 3/4 of a hour if he continues at this rate what fraction of the room will be completed in one hour.
Answer:
randys life kinda stinks
Step-by-step explanation:
5/8 hope it helps
Traven put a gallon of gas in his car and pays $22 what is the cost of 1 gallon of gas complete the table
Answer:
pls mark me brainliest the answer
Step-by-step explanation:
a gallon= 22$
1 gallon = 7.3$
Josh rents a kayak at a nearby state park. He pays a flat rate of $12.99 plus $3.75 for
each hour that he spends in the water. How much did Josh spend if he was on the river
for 4 hours?
Answer:
Whats a kayak?
Step-by-step explanation:
Pls hellllp will gib brainliest
Answer:
B
Step-by-step explanation:
312-96=216
216/24=9
Answer:
B
Step-by-step explanation:
24x9+96
If Michael can read 400 pages in 8 hours, how many pages can he read in 1 hour?
Step-by-step explanation:
He will read 50 pages in an hour
Mrs. Frazier had 95 inches of ribbon. She gave 14.4 inches to Sara and 27.8 inches to Mary. If she divides the remainder between Jenny and Susie, how much will each girl receive? pls help
Answer:
26.4
Step-by-step explanation:
95-14.4-27.8=52.8
52.8/2=26.4
Hope I helped!
Please mark Brainliest!!!
Q.Find the selling price if the cost price is $1200 and loss percent is 25?
Write in step by step
Step-by-step explanation:
C.p=1200
loss percent=25
s.p=?
s.p=100- loss×C.p/100
s.p=100- 25×1200/100
S.p=75×1200/100
s.p=90000/100
s.p=900
Write the equation of the line that is parallel to y = -2x + 4 and passes through (3, 1) in slope-intercept form.
Answer:
y = -2x + 7
Step-by-step explanation:
y = -2x + 4
Slope in above equation is -2. Parallel lines share the same slope so the new equation will also have a slope of -2.
y-intercept through point (3, 1):
y = mx + b
1 = -2(3) + b
1 = -6 + b
b = 7
Equation of line that is parallel to original:
y = mx + b
y = -2x + 7
A road crew is paving a 45-mile stretch of highway. If the crew can pave 110 mile of highway each day, how long will it take the crew to finish the job?
3 days
5 days
6 days
8 days
Answer:
3 day answer hai bro
Answer:
the correct answer is 8 days.
