Answer: That would be y∈[−1,3)
Step-by-step explanation:
Sorry don't want to type.
Y=x^2-6x+3 help write the vertex form of the equation
Answer:
[tex]y=(x-3)^2-6[/tex]
Step-by-step explanation:
[tex]y=x^2-6x+3[/tex]
This is written in the standard form of a quadratic function:
[tex]y=ax^2+bx+c[/tex]
where:
ax² → quadratic termbx → linear termc → constantYou need to convert this to vertex form:
[tex]y=a(x-h)^2+k[/tex]
where:
(h,k) → vertexTo find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:
[tex]x=-\frac{b}{2a}[/tex]
Using your original equation, identify the a, b, and c terms:
[tex]a=1\\\\b=-6\\\\c=3[/tex]
Insert the known values into the equation:
[tex]x=-\frac{(-6)}{2(1)}[/tex]
Simplify. Two negatives make a positive:
[tex]x=\frac{6}{2} =3[/tex]
X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:
[tex]y=3^2-6(3)+3[/tex]
Simplify using PEMDAS:
[tex]y=9-18+3\\\\y=-9+3\\\\y=-6[/tex]
The value of y is -6 (3,-6). Insert these values into the vertex form:
[tex](3_{h},-6_{k})\\\\y=a(x-3)^2+(-6)[/tex]
Insert the value of a and simplify:
[tex]y=(x-3)^2-6[/tex]
:Done
What is the soloution to the equation
30.16= 17.56 + -5x
A- 6.032
B- 3.512
C- 12.6
D- 2.52
Answer: D
Step-by-step explanation:
If you would like me to explain just ask.
30.16 = 17.56 + (-5x) You need to get the -5x by itself so subtract 17.56 from 17.56 and subtract it from 30.16.
12.60 = -5x You need to get the x by itself now so divide -5 by -5 and 12.60 by -5.
then you get...
-2.52 = x
A cheesecake recipe says, "Mix 12 oz of cream cheese with 15 oz of sugar. How many ounces of cream cheese are there for every ounce of sugar?_ How many ounces of sugar is that for every ounce of cream cheese?
• To round a number, look at the digit to the right of the
Chapter
place value to which you are rounding.
1
• If the digit is 5 or more, round up.
• If the digit is less than 5, round down.
Round up
Add 1 to the
146 rounded to the nearest ten is 150.
number in the place
value to which you
This is the Since 6 is greater than 5, round the
are rounding.
tens place. 4 up to 5.
Make the digits to
the right of it o.
45.23 rounded to the nearest tenth is 45.20.
Round down
Do not change the
number in the place
This is the Since 3 is less than 5, the 2 stays the
value to which you
tenths place. same.
are rounding.
Make the digits to
2. Underline the tens digit. Round to the nearest ten.
the right of it o.
a) 36
b) 162
c) 105
3. Underline the hundreds digit. Round to the nearest hundred.
a) 732
b) 675
C) 1825
4. Underline the tenths digit. Round to the nearest tenth.
a) 0.37
b) 74.55
c) 15.23
5. Underline the hundredths digit. Round to the nearest hundredth.
a) 1.212
b) 3.427
c) 0.351
Answer:
2. A) 37 B)160 C) 110
The tens digit is 10,20,30,40,50,60,70,80,90. Two away to the left of a decimal point.
3. A)730 B) 675 C)1930
The hundreds digit is three from the left of a decimal point.
4. A) 0.40 B)74.60 C)15.20
The tenth is one away to the right of the decimal.
5. A)1.210 B) 3.430 C)0.350
The hundreth is two away to the right of the decimal point.
Explanation:
If it is above 5 you bring the digit before it up by one, if it is under 5 you bring the digit that is under 5 to zero.
Can SOMEONE HELP ME PLZ!!!!
Answer:
Figure R'S'T'U' is the image of the figure RSTU after a translation 2 units left and 2 units down, and a reflection across the y-axis.
Step-by-step explanation:
Transformations
The figure RSTU has been transformed in such a way that it mapped onto the figure R'S'T'U'.
There has been a translation and a reflection. Since the figure and its reflection are above the x-axis, one can guess the reflection is over the y-axis.
Let's reflect point T'(-3,4) over the y-axis. It maps to (3,4). The horizontal distance from this point to the original point T(5,6) is 2 and the vertical distance is 2. Thus, under this assumption, the transformations could be: translate 2 units down, 2 units left, and reflect across the y-axis.
Testing the rest of the points we get the same result, thus the transformations are:
Figure R'S'T'U' is the image of the figure RSTU after a translation 2 units left and 2 units down, and a reflection across the y-axis.
Use the drop-down menus to complete the solution to the equation Cosine (StartFraction pi Over 2 EndFraction minus x) = StartFraction StartRoot 3 EndRoot Over 2 EndFraction for all possible values of x on the interval [0, 2Pi].
Answer: The answer above is correct.
0
1
sin
3
3
Step-by-step explanation: Got it right on assignment from edge.
Using trigonometric identities, the solution to the equation[tex]cos(\frac{\pi }{2} -x) = \frac{\sqrt{3} }{2}[/tex] for all possible values of x on the interval [0, 2π].
What are trigonometric identities?Trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined.
[tex]cos(\frac{\pi }{2} - x) = \frac{\sqrt{3} }{2} \\\\cos(x) cos(\frac{\pi }{2}) + sin(x) sin(\frac{\pi }{2}) = \frac{\sqrt{3} }{2} \\\\cos(x) (0)+sin(x)(1) = \frac{\sqrt{3} }{2} \\\\sin(x) = \frac{\sqrt{3} }{2}\\\\x = \frac{\pi }{3} , \frac{2\pi }{3}[/tex]
Learn more about trigonometric identities here
https://brainly.com/question/14746686
#SPJ3
Huilan is 15 years younger than Thomas. The sum of their ages is 65. What is Thomas's age?
Answer:
40 years
Step-by-step explanation:
Hulian and Thomas together is 65 years
let us suppose hulian is X
now, so Thomas is x+15
so x+x+15=65
so 2x = 65-15
2x=50
x=25
Hulian is 25
and Thomas is 25+15=40
Answer:
Thomas's age: 40
Step-by-step explanation:
We have:
Thomas's age - Huilan's age = 15 (1)
Thomas's age + Huilan's age = 65 (2)
Add 1 and 2 we have :
2T = 65+15
<=>2T = 80
[tex]<=>T=\frac{80}{2} =40[/tex]
So Thomas's age is 40.
P/s: T is Thomas's age
ASAP FOR BRAINLIEST!
Answer:
Slope is -1/4
Step-by-step explanation:
Goes down 1 and over 4 so -1/4
For u ppl doing the challenges here u go!
Answer:
ily <3
Step-by-step explanation:
To avoid a service fee, your checking account balance must be at least $400 at the end of each month. Your current balance is $432.993. You use your debit card to spend $119.86. What possible amounts can you deposit into your account by the end of the month to avoid paying the service fee?
Given :
To avoid a service fee, your checking account balance must be at least $400 at the end of each month.
Your current balance is $432.993.
You use your debit card to spend $119.86.
To Find :
What possible amounts can you deposit into your account by the end of the month to avoid paying the service fee.
Solution :
Amount left in the account :
A = $432.993 - $119.86
A = $313.133
Let, amount added is x.
So,
A + x ≥ 400
x + 313.133 ≥ 400
x ≥ 400 - 313.133
x ≥ 86.867
Therefore, possible amount needed is greater than or equal to $86.867 .
Hence, this is the required solution.
5) February is a busy time at Charlie's Chocolate Shoppe! During the week before Valentine's Day, Charlie advertises that his chocolates will be selling for $1.80 a piece (instead of the usual $2.00 each). The fixed costs to run the Chocolate Shoppe total $450 for the week, and he estimates that each chocolate costs about $0.60 to produce. Charlie estimates that he can produce up to 3,000 chocolates in one week. a) Write a function, C(n), to represent Charlie's total costs for the week if he makes n chocolates b) Write a function. R(n), to represent the revenue from the sale of n chocolates during the week before Valentine's Day. c) Write a function. P(n), that represents Charlie's profit from selling n chocolates during the week before Valentine's Day. Show complete work to find the function.
Answer:
a) [tex]C(n) = 450+0.60n[/tex] where [tex]n<=3000[/tex]
b) [tex]R(n) = 1.80n[/tex] where [tex]n<=3000[/tex]
c) [tex]P(n) = - 450 +1.20n[/tex]
Step-by-step explanation:
Sale price of chocolates = $1.80 per chocolate
Fixed cost for the Chocolate Shoppe per week = $450
Cost to produce one chocolate = $0.60
Cost to produce [tex]n[/tex] chocolates = $0.60[tex]\times n[/tex]
a) Cost function to represent the total cost for the production of [tex]n[/tex] chocolates :
[tex]C(n) = 450+0.60n[/tex] where [tex]n<=3000[/tex]
b) Revenue function to represent the revenue from the sale of [tex]n[/tex] chocolates:
[tex]R(n) = 1.80n[/tex] where [tex]n<=3000[/tex]
c) Profit function to represent Charlie's profit from selling [tex]n[/tex] chocolates:
Profit is nothing but revenue minus sales.
[tex]P(n) = R(n) - C(n) \\P(n) = 1.80n - 450 -0.60n\\P(n) = - 450 +1.20n[/tex]
Answer:
ong
Step-by-step explanation:
In row 2, write the equation of a quadratic function that satisfies f(0) = 2.
The price of a technology stock has dropped to $9.61 today. Yesterday's price was $9.74. Find the percentage decrease.
Round your answer to the nearest tenth of a percent.
HELP I NEED THIS
If you can write the explanation out and how you got it!!!!!!!!
Answer:
1.33%
Step-by-step explanation:
$9.74 - $9.61 = $0.13
(0.13 divided by $9.74) times 100
=1.33%
The points in each table lie on a line. Find the slope of the line.
O 1/2
O 1
O 2
O None of the above
Answer:
1
Step-by-step explanation:
Given table:
x -1 1 3 5
y -2 0 2 4
Unknown:
Slope of the line = ?
Solution:
Each x and y pair on the table lies on the line. Therefore, we can use them to find the slope;
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
let us take;
x₁ = -1 x₂ = 3
y₁ = -2 y₂ = 2
Insert the parameters and solve;
Slope = [tex]\frac{2 - (-2)}{3- (-1)}[/tex] = [tex]\frac{4}{4}[/tex] = 1
The slope of the line is 1
Why would a mutual fund, a collection of stocks, bonds, and other securities, have less risk than investing in stocks alone?
Answer:
Mutual funds, collections of stocks, bonds, and other securities, have less risk than investing in stocks alone because of the risk associated with the ever-changing market.
Step-by-step explanation:
got 100% on edge
To make lemonade Jenny combines water and lemon juice in the ratio of 6:1, by volume. How many millilitres of water should she add to make 637 mL of lemonade?
Answer:
546 mL of water
Step-by-step explanation:
To make lemonade Jenny combines water and lemon juice in the ratio of 6:1, by volume.
Let the amount of water is 6x and that of lemon juice is x.
ATQ,
6x+x = 637
7x = 637
x = 91
Amount of lemon juice = 91 mL
Amount of water = 6x = 6(91) = 546 mL
So, 546 mL of water she should add to make 637 mL of lemonade.
What does the x-intercept of the graph tell you about Jeremiah's bank account?
Answer:
The x-intercept of the graph tells you that as the "number of movie tickets" increase, the less balance Jeremiah has on his bank account.
Step-by-step explanation:
Behavior: The graph is in a downwards linear slope.
Look at the correlation between the x and y axis.
As x increases, y decreases
I WILL GIVE BRAINLEST
graph an ordered pair that is a solution
to the inequality.
4x + 3y <12
Step-by-step explanation:
( 0,-4) that the answer
What number is 1.6 more than 3.7
Answer: 5.3
Step-by-step explanation: To solve this question, all you need to do is add the numbers together. 1.6+3.7=5.3
Answer:
the answer is5.3
Step-by-step explanation:
3.7+1.6=5.3
helppp i need answer now will give points
Answer:
f(g(3)) = 3
Step-by-step explanation:
We are told to solve for f(g(3)). This is also saying f of g of 3.
To find f(g(3)), we need to plug 3 in for x in g(x), since it says g(3).
g(x) = 3(3) - 4
Solve.
= 9 - 4
g(x) = 5
Now, we plug that into f(x), because g(x) was placed inside f and replaces the x variable of f(x).
f(5) = 2(5) - 7
Solve.
= 10 - 7
f(5) = 3.
f(g(3)) = 3
#teamtrees #WAP (Water And Plant)
Find the simple interest earned, to the nearest cent, for the principal, interest rate, and time.
$1,200, 3.5%, 2 years
Answer:
84
Step-by-step explanation:
1200*3.5*2/100
=84
Answer:
$84
Step-by-step explanation:
You can also do 1,200x 0.035 x2 which equals $84.
PLEASE HELP, I'VE ASKED THIS QUESTION THREE TIMES AND NO ONE WILL ANSWER SO PLEASE HELP!!!!!!!!!!!!!!!!!!!
Describe how you would decide which variable term to add or subtract on both sides of the equation -3x + 7 = 4x - 9.
(Sorry if this is easy, I'm bad at math.)
(Written response, please help me!!)
Answer:I would add 3x on both sides because it would allow you to have a positive variable saving you time and effort.
Step-by-step explanation:7=7x-9
Answer:
Personally I always do the smallest variable in order to make it easier
Step-by-step explanation:
in this case i would add 3x to both sides because it's (-3x) smallest out of the two. so then the equation would be 7 = 7x - 9
from there you would add 9 to both sides and get 16 = 7x
then x = 2.29 (it's rounded up from 2.285...)
Jasper's care, solve the problem if you dare:
List in order from least to greatest:
-8, 0, -1, -3, 1, 2, -10, -4
Answer:
-10,-8,-4,-3,-1,0,1,2
Step-by-step explanation:
i did it
974 divided 0.379=?
round the answer to the nearest whole number
Answer:
2570.
Step-by-step explanation:
974 / 0.379
= 2569.92084433
= 2570 (rounded to the nearest whole number)
Hope this helped!
Answer:
947÷0.379=2.498 to the nearest whole number is 2
Step-by-step explanation:
since number from 0-4 will round down and the number at the back of point is needed to round to the neareat whole number
What is the value of the 8th term of the sequence 4, 8, 16, 32, ...?
Answer:
512
Step-by-step explanation:
The sequence is doing the number times 2, so 4 times 2 equals 8,
8 x 2 = 16, ect
If you do this enough, you will get 512 as the 8th term.
Answer:
512 because
32x2=64
64x2=128
128x2=256
256x2= 512
Step-by-step explanation:
please give me brainlist
What is the value of the 8th term of the sequence 4, 8, 16, 32, ...? this is where I get 32 from
Color of socks white black blue brown
Number of socks 9 2 6 5
From the table, the ratio of white socks to brown socks is 9:5
Select two ratios equivalent to the ratio of white socks to brown socks.
A: 36:21
B : 27:15
C: 5:28
D: 36:20
Answer:
b or d
Step-by-step explanation:
the functions f(x), g(x), and h(x), find the average rate of change over the interval -3≤x≤5
Rachel decided to have bouncy balls as a party favor.
She determines that her ratio of bouncy balls to guests is
9:3. Explain how to find the number of balls needed for 30
guests.
I
PLEASE HELP FAST!
Answer:
Rachel is a idiot
Step-by-step explanation:
If 5 men paint a wall in 3hours,
How many men will paint the same wall in 3/4 hours,
working at the same rate
a)5
b)10
c)15
d)20
e)24
Answer:20 men
Step-by-step explanation:
Mallory's mom gave her $25.00 to buy school supplies. Mallory needs to buy 5 notebooks and some mechanical pencils. If each notebook costs $2.19 and each mechanical pencil costs $1.50, how many mechanical pencils can Mallory buy using only the money her mom gave her?
Answer:
Mallory can buy 16 notebooks
Step-by-step explanation:
You divide 25.00 by 1.50 which is 16.6 repeating. so, she can only buy 16 notebooks
Answer:
she can buy 9 pencils
Step-by-step explanation: