Answer:
f(x) = 3x² + 6x + 1
General Formulas and Concepts:
Order of Operations: BPEMDASExpand by FOIL (First Outside Inside Last)Standard Form: f(x) = ax² + bx + cVertex Form: f(x) = a(bx + c)² + dStep-by-step explanation:
Step 1: Define function
f(x) = 3(x + 1)² - 2
Step 2: Find Standard Form
Expand by FOILing: f(x) = 3(x² + 2x + 1) - 2Distribute 3: f(x) = 3x² + 6x + 3 - 2Combine like terms (constants): f(x) = 3x² + 6x + 1Step-by-step explanation:
f(x)=3(x+1)^2-2
= 3 [x^2 + 2x + 1 ] -2
=3x^2 + 6x +3-2
=3x^2 + 6x + 1
f(x)=ax^2+bx+c
ax^2+bx+c = 3x^2 + 6x + 1
a = 3
b = 6
c = 1
A bus took a six hour trip and traveled 225 miles. The speed was 40 mph for the first part of the trip, and then decreased to 25 mph for the second part of the trip. How many hours were traveled at each speed?
Answer:
The bus traveled at 40 mph for 5 hours, and at 25 mph for the last hour.
Step-by-step explanation:
The time for the first part is t. Therefore the time for the second part if (6-t).
40t + 25 (6-t) = 225
40t + 150- 25t = 225
15t = 75
t=5
find the values of x and y in the following triangle
List the transformations of the function.
f(x)= 2(-2x+1)2 + 4
Answer:
Transformations of f(x) = ⅙(-2x + 1)² + 4:
vertical compressionreflects across y axishorizontal compressiontranslates lefttranslates upWhat is the constant of proportionality in the equation y=2xy
Answer:
2 is the constant of proportionality in the equation y = 2x .
Step-by-step explanation:
Definition of constant of proportionality
When two variables are directly proportional to each others .
Let us assume that u and v .
u \propto vu∝v
Than the equation becomes u= kv
Where k is called the constant of proportionality .
Thus in the question x and y are proportional variables .
i.e
y \propto xy∝x
y = kx
Where k is called the constant of proportionality .
Compare the equation y = kx with y=2x .
Thus
k = 2
Therefore 2 is the constant of proportionality in the equation y = 2x
the explanation is not mine only the answer
7/3 to 2 1/3
HELP ASAP PLSPLS !! :)
select all equations that are equivalent to 5x+(x+6)+3x
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You are conducting a left-tailed test of a claim about a population mean when sigma is unknown with a sample size of 7.
If
α
=
.005
, find the critical value, to two decimal places.
========================================================
Explanation:
You'll need to use a T table to answer this question. Your stats textbook should have such a table in the back appendix section.
If your textbook doesn't have the proper table, or you don't have your textbook with you, then I recommend searching online for "t table" and you should have tons of free options to choose from.
In the table you'll look for the degrees of freedom row 6, since the degrees of freedom are equal to n-1. In this case, n = 7.
In this row, locate the column labeled "alpha = 0.005" and you'll be looking at "one tail". The value in this row and column is roughly 3.707
Since we're doing a left tailed test and we want P(t < C) = 0.005, where C is the critical value we're after. This must mean C < 0. So C = -3.707 approximately. Round this to two decimal places and we end up with -3.71
A company had 260 workers. After a few of them were laid off by the company, there were 247 workers in total. What was the percentage decrease in the number of workers in the company?
Answer:
0.95% decrease
Step-by-step explanation:
247/260 to get your answer
As the youth club are camping, Luke is keen to go when there is the least chance of rain. Where and when should he take the club camping?
Maybe the side of the mountain or a cave where rain won't be able to get to the campsite.
30
40
R
P
60°
What is the measure of ZPTQ?
120
S
140°
180°
120°
100°
Answer:
140°
Step-by-step explanation:
Since we know that a circle is 360 degrees, and we are given three angles, we can subtract what we know from 360 to get ∠PTQ:
360 = 120 + 60 + 40 + ∠PTQ
360 = 220 + ∠PTQ
-220 -220
140 = ∠PTQ
∠PTQ = 140°
Join my math help server in discord to get more help in mathematics:
Friend me at: GeoGuy#0187
I need help with this.
vertex,axis of symmetry,maximum or minimum,max or min value,range
Answer:
the axis of symmerty is 4 and vertex is (4,3) correct me if i am wrong and you can use desmos to help you it is a graphing calculator
Step-by-step explanation:
18 is more than a m wirtten
Answer:
I don't understand your question
What are three consecutive even integers with the sum of -84?
Answer:
n will be -32
............... ....
The length of a car is 18 ft and the width is 7ft.
If a model of a car is 9 in long, how wide is it?
Answer:
3.5 inches
Step-by-step explanation:
9 = 18 divided by 2
7divided by 2 = 3.5
Answer:
is 27 for the width and for how long is 9+9=18
Step-by-step explanation:
Which expression is equivalent to 6(x – 4)? –6x + 4 6x – 4 6x – 24 –6x + 24
Answer:
6x -24
Step-by-step explanation:
You just develop :
6(x-4)
6*x - 6*4
= 6x-24
Answer:
6x -24
Step-by-step explanation:
im rights trust
I will give brainliest :)
True or False:
A solid dot on a number line graph indicates that the
given number is included as a possible solution to the
inequality
• True?
• False?
Answer:
True
Step-by-step explanation:
If it's a open dot it can't be a possible solution. Solid dots can be a possible solution.
-1.1x + 8.1x + 38 = -32
X = -10
Explanation:
-1.1x + 8.1x + 38 = -32
Combine like terms : -1.1x + 8.1x
7x + 38 = -32
Subtract 38
7x = -70
Divide by 7
7x = -70/7
Answer:
x = -10
Answer:
x= -10
Step-by-step explanation:
1. start by subtracting 38 from both sides
-1.1x+8.1x+ (38-38)= (-38-32)
2. Solve
-1.1x+8.1x= -70
3. Add the x- values
7x=-70
4. Solve
x= -10
PLEASE HELP ME WITH MATH
( if you need a better view just comment your snap or instagram to get a better view )
Answer:
welp you asked me to answer but I don't do this stuff anymore. sorry I hlp you.
Random fact? If you cut off all your skin you could last up to 7 more hours?
I think
Please help! I need your help! If you help you get points. If you get points your smart.
D: She needs to keep going to find more digits.
The table below shows the scoring system for quarterbacks in Jeremy's fantasy football league.
Vies
& Step
Quarterback Scoring
Texd
Action
Points
Touchdown pass
6
Prin
0.5
Complete pass
Incomplete pass
-0.5
Interception
-1.5
In one game, Jeremy's quarterback had 4 touchdown passes, 20 complete passes, 9 incomplete passes,
and 2 interceptions. How many total points did Jeremy's quarterback score?
Jeremy's quarterback scored a total of blank
points.
Answer:
hi
Step-by-step explanation:
>I'm sorry but how do I do this?
Solving the equation of the form a cos 0 + b sin 0 = c
Question;
Solve the equation 4 sin 20 - 3 cos 20 = 3, for 0° ses 360°
Answer:
θ = 36.9°, 90°, 216.9°, or 270°
Step-by-step explanation:
4 sin 2θ − 3 cos 2θ = 3
Use double angle formulas:
4 (2 sin θ cos θ) − 3 (cos²θ − sin²θ) = 3
8 sin θ cos θ − 3 cos²θ + 3 sin²θ = 3
Use Pythagorean identity:
8 sin θ cos θ − 3 cos²θ + 3 sin²θ = 3 (sin²θ + cos²θ)
8 sin θ cos θ − 3 cos²θ + 3 sin²θ = 3 sin²θ + 3 cos²θ
8 sin θ cos θ − 6 cos²θ = 0
2 cos θ (4 sin θ − 3 cos θ) = 0
2 cos θ = 0
θ = 90° or 270°
4 sin θ − 3 cos θ = 0
4 sin θ = 3 cos θ
tan θ = 3/4
θ = 36.9° or 216.9°
Five students in Mr. Roberts' class are gathering donations for a party. The amount each student has collected is below. Student Amount Stanley $25.24 Rebecca $24.06 Mary $25.27 Rolly $24.14 Sheryl $24.60 Use clustering around an average to estimate the total amount the students collected. A. $125.00 B. $275.00 C. $50.00 D. $230.00
Answer:
The answer should be A. $125.00
Step-by-step explanation:
I rounded and added them jajaja.
Margaret's receipt from the grocery store is shown below. Robert bought 12 ounces of bananas from the same store as Margaret. How much did Robert pay?
Answer: 3.20
Step-by-step explanation:
Answer:
3.20 is what Robert payed
Find the value of x and y.
12x and 9y
There is not enough information to find the value of 12x and 9y.
Pentru cei 22 de elevi din echipa de fotbal a școlii au fost cumpărate tricouri, unele mărimea M și altele mărimea S. Un tricou mărimea M costă 72 de lei, iar cel mărimea S costă 54 de lei. Dacă s-a plătit în total suma de 1458 de lei, atunci s-au cumpărat
tricouri mărimea M și
tricouri mărimea S.
Answer:
Hola senor
Step-by-step explanation:
PICTURE PLEASE TYSMMM
Answer:
(B).
Step-by-step explanation:
Statement B is not correct. PR and ST are not corresponding segments.
Alijah travels 312 miles in 8 hours to get to Myrtle Beach. How many miles does he travel per
hour? *
Answer:
Should be 39 miles per hour
Step-by-step explanation:
Just divide 312/8=39
What is 0.06% written as a decimal?
Answer:
0.0006
Step-by-step explanation:
!!!!!!!PLEASE HELP I NEED THIS FOR TODAY!!!!!
Shelly has a summer job where she cams $800 each summer. She plans to work at this summer job
year for the next fie summers. She wants to save the money from her summer job to pay for her first
year of onllege. The college she is thinking of amending charges $8.900 for one year's tuition. Her parents
The suit that they will pay half of her tuition will she have enough money for her first year's tuition? How
much does she have or how much more does she need