Answer:
f(x) = (x -3)^2 - 1
Step-by-step explanation:
f(x) = x^2 - 6x + 8
a = 1, b = -6 and c = 8
So we are finding half of the b equation (ignore the negative sign)
Half of 6 is 3, so we are going to square 3 (3^2 = 9) and add 9 to the left side and subtract 9 to the right side
(x) = (x^2 - 6x + 9) + (8 - 9)
You can tell the polynomial is a perfect square, so we will have to factor it using the perfect square method
(x^2 - 6x + 9)
square toot of x^2 is x and square root of 9 is 3 and the operation sign after the a number is a minus sign
(x -3)^2
Don't forget the rest of the equation from before
(x -3)^2 + (8 - 9)
(x -3)^2 - 1
So the equation is f(x) = (x -3)^2 - 1
Can someone solve this please: 54.69 rounded to the nearest integer
thank you <3
Answer:
55
Step-by-step explanation:
How do I solve this question
Answer:
/2
Step-by-step explanation:
plz help thannkkk you so muchh
This is a bit strange how your teacher mentions the height increases at 10 inches per minute, but then doesn't refer to the time value afterward.
Ignoring that oddity, we have [tex]V = \pi*r^2*h[/tex] turn into [tex]V = \pi*4^2*h[/tex] when plugging in r = 4. This simplifies to [tex]V = 16\pi*h[/tex]
This represents the volume V for any given height h.
Let's plug in [tex]V = 80\pi[/tex] and solve for h
[tex]V = 16\pi*h\\\\80\pi = 16\pi*h\\\\80 = 16*h\\\\80/16 = h\\\\5 = h\\\\h = 5[/tex]
Note: in the jump from step 2 to step 3, I divided both sides by pi.
So we found that when the height is h = 5 feet, this leads to the volume being [tex]V = 80\pi[/tex] cubic feet.
-------------------------------
Let's convert from feet to inches
1 foot = 12 inches
5 feet = 60 inches (multiply both sides by 5)
The height of the cylinder is 60 inches when the volume is 80pi cubic feet.
We're told that the height increases by 10 inches per minute. This would mean that h = 10t assuming the height starts at 0 when the time value is t = 0.
Solving for t leads to...
h = 10t
60 = 10t
60/10 = t
6 = t
t = 6
After 6 minutes, the height is 60 inches = 5 feet.
Solve each system by substitution.
y=-4x-9 y=3x+19
Answer:
x=-4, y=7
Step-by-step explanation:
According to the first equation, y = -4x - 9, so we can substitute y in the second equation for -4x - 9.
y = 3x + 19
-4x - 9 = 3x + 19
Add 9 to both sides
-4x = 3x + 28
Subtract 3x
-7x = 28
Divide by -7
x = -4
Plugging this into the equation, we have:
y = -4x - 9
y = -4(-4) - 9
y = 16 - 9
y = 7
Can someone do this please
Answer:
x = [tex]\sqrt{5}[/tex]
Step-by-step explanation:
[tex](\sqrt{21} )^{2}[/tex] = 4^2 + ^2
21 - 16 = x^2
x = [tex]\sqrt{5}[/tex]
Daysi buys a video game on sale. If the video usually costs $30.00, and it
was on sale for 25% off, how much did Daysi pay?
Answer:
$22.5
Step-by-step explanation:
The original price is $30 and it's on sale for 25% off. Since 25% is a quarter of the total price, I divided 30÷4=7.5. $7.5 is 25% of $30, so 7.5 is the amount taken off the original price. To find what Daysi paid, I subtracted 30-7.5=22.5. $22.5 is the result after the 25% off, so Daysi paid $22.5.
can someone please help me!
Answer:
60
Step-by-step explanation:
10. Write 144 with an exponent by using 12
as the base.
Answer:
12^12
Step-by-step explanation:
Brainliest for correct answer
Answer:
what grade are you in im in 10th and idek know this
Step-by-step explanation:
use PEMDAS btw it help
Answer:
X=-4
Step-by-step explanation:
PLEASE PUT THE FOLLOWING IN ORDER
tysm
Answer:
yessuh
Step-by-step explanation:
an urn contains 10 blue marbles and 8 yellow marbles a marble is drawn and dropped back into the urn. Then a second marble is drawn and dropped back into the urn both marbles are yellow if another marble is drawn. what is the probability that it will be blue
Answer:
80/729
Step-by-step explanation:
8/18x8/18x10/18=640/5832
80/729
plz help ima freak out if I don't complete this
Answer:
2 and 3 are c you should try to do the others on your own they are just properties
Step-by-step explanation:
Answer:
2 and 3 are C, and 4 and 5 are B
Step-by-step explanation:
the hypotenuse of a triangle is 5in and leg one is 4in how long is leg two
12. In y > x + 4, where can we find the solution set?
A. above the line
C. in the line
B. below the line
D. no solution set
13. The statement, "the sum of two numbers is at least 29" can be expressed as:
A. x + y > 29 B. x + y < 29 C. x + y = 29 D. x + y = 2
14. The elevator has a maximum capacity (C) of 8 persons. Which of the following mathematical statement represent the given situation?
A.C = 8
B. C < 8
C. c 28
D. none of these
15. Bryan bought 6 chocolate candies and 3 lollipops. If x represent the cost of
chocolate candies and y represent the cost of lollipops, what will be the
mathematical representation of the total cost if he paid at most Php50?
A.6x + 3y > 50
C. 6x + 3y > 50
B.6x + 3y = 50
D. 6x + 3y < 5
Answer:
1) D
2)A
3)D
4)A
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
Answer:
I hope I can help you
Step-by-step explanation:
I hope I can help you
Do number six for me.
What is the explicit rule for the sequence?
10.5, 9, 7.5, 6, 4.5, 3, ...
At the carnival, it costs $10 to enter. It then costs $1.50 per ride you go on.
If you have $28, how many rides can you go on? *
1 point
Answer:
18.6
Step-by-step explanation:
28 divided by 1.50 equals 18.6
The number of rides will be equal to 12 in the Carnival.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that at the carnival, it costs $10 to enter. It then costs $1.50 per ride you go on. The total amount is $28.
The number of rides will be calculated by forming an equation below,
A = 10 + 1.5R
28 - 10 =1.5R
1.5R = 18
R = 18 / 1.5
R = 12
Therefore, the number of rides will be equal to 12 in the Carnival.
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Free Pls help
Question: Solove for X
I'm sorry, I thought I could have helped. I hope you have a nice day!
PLEASE HELP ME!!!!
what is the first quartile of the set of data shown below? 16,23,25,39,45,78,95
Answer:
23
Step-by-step explanation:
Simplify the ratio 0.3:0.48
Answer:
0.1:0.16
Step-by-step explanation:
they can both be divided by 3
.48/3=.16
.3/3=.1
According to a weather report, there is a 28% chance it will rain tomorrow. What is the
probability that it WILL NOT rain tomorrow? (two decimal answer approximation)
Answer:
wouldnt it be 72%?
Step-by-step explanation:
the percent is out of 100. if the probability of rain is 28% and you subtract that from 100% you are left with 72%
100%-28%
=72%
I know this might be a easy answer but with proper algebra format a chicken has two legs a dog has 4 legs the chicken must have 14 more legs than the dog And it has to add up to 28 legs this is easy but I wanna know how to get the answer
Step-by-step explanation:
Let each let of chicken be C and dog be D respectively.
Then as per question
2C+4D = 28.......i
and
C-D =14........ii
These are the two algebraic equation which you are looking for solve them
to get the answer
A store offers 30% off all items. If x is the original purchase price, select all of the expressions which represent the final price with the discount.
a 0.7x
b x
c x + 0.3x
d x - 0.3x
e 12x
Answer:
D c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
not really an explanation
Which expression is equivalent to 3(x - 2)+2x?
-X
3x
5x - 2
5x -6
Hey there!
The answer to your question is the third option; [tex]5x-6[/tex]
First, we'll start by simplifying your expression. Given:
[tex]3(x - 2)+2x[/tex]
Distribute the [tex]3[/tex]:
[tex]3x-6+2x[/tex]
Add [tex]3x[/tex] and [tex]2x[/tex]:
[tex]5x-6[/tex]
Therefore, the third option is correct.
Have a terrificly amazing day! :)
Multiply Fractions and Whole Numbers
7 x 2/3 =
Show me your work
The simplified form of the Multiplication of Fractions and Whole Numbers would be 4 2/3.
What is a fraction?A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value). When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction. A proper fraction is also called fraction which is less than 1.
Given that the fraction expression as;7 x 2/3
We need to multiply Fractions and Whole Numbers
7 x 2/3 = 14/3
Now convert simple fraction into mixed;
14/3 = [tex]4 \frac{2}{3}[/tex]
Therefore, the simplified form of the Multiplication of Fractions and Whole Numbers would be [tex]4 \frac{2}{3}[/tex].
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what is the additive inverse of -15 and 15
Answer
-15
Step-by-step explanation:
luca sells muffins and juice boxes. muffins are $1.50 each and jucie boxes are $1.25 each. write an algebraic expression for the total income luca received from the sale of muffins and juice boxes
Answer:
1.5m+1.25j
Step-by-step explanation:
m equals the number of muffins sold, and because each muffin sells for $1.50, 1.5m represents the income made from the muffins.
Same thing with the juice boxes, j equals the number of juice boxes sold, and because each juice box sells for $1.25, 1.25j represents the income made from the juice boxes.
Add the income from both of them to get the total income, and you get 1.5m+1.25j.
Find the missing values
What is a decimal that is equivalent to the fraction 8/10
? Enter the answer in the box.
Answer:
0.8
Step-by-step explanation:
Answer:
.8
Step-by-step explanation:
Of the 10 clients who had their hair cut at Sue's salon last month, 5 had blond hair. Considering this data, how many of the next 14 clients to get haircuts should you expect to have blond hair?
Answer: 7 clients
Step-by-step explanation:
Of the last 10 clients that cut their hair at the salon, 5 had blond hair.
That is a proportion of:
= 5 / 10
= 1/2
Assuming this same proportion applies to the next clients Sue gets, the expected number of blonde people will be:
= Number of clients * 1/2
= 14 * 1/2
= 7 clients