Answer:
[tex]\displaystyle f(x)=\frac{1}{2}x^2-2x-2[/tex]
Step-by-step explanation:
To convert from vertex form to standard form, we can simply expand.
So, we have:
[tex]\displaystyle f(x)=\frac{1}{2}(x-2)^2-4[/tex]
Expand the square:
[tex]\displaystyle f(x)=\frac{1}{2}(x^2-4x+4)-4[/tex]
Distribute:
[tex]\displaystyle f(x)=\frac{1}{2}x^2-2x+2-4[/tex]
Simplify:
[tex]\displaystyle f(x)=\frac{1}{2}x^2-2x-2[/tex]
pls help math people
Answer:
1. the range is the biggest number minus the smallest number.
2. for IQR order the data in ascending order, find the median, calculate the median for both the upper and lower halves of the data and the IQR is the difference between the two.
3. MAD is when you find the mean then add all the data values together and divide by the amount of data you have. Lastly, do the data value minus the mean.
Step-by-step explanation:
hope this helps :)
Under his cell phone plan, Nathan pays a flat cost of $36 per month and $3 per gigabyte. He wants to keep his bill under $45 per month. Use the drop-down menu below to write an inequality representing gg, the number of gigabytes he can use while staying within his budget.
Answer:
Is there a way you can add an image?
Step-by-step explanation:
g < 3
3g + 36 < 45
3g < 9
g < 3
Landon made 36 muffins she put the same number of muffins on each of four plates how many my friends did she put on each plate
Answer:
the muffins put on each plate is 9
Step-by-step explanation:
The computation of the muffins put on each plate is shown below:
= Total muffins ÷ Total number of plates
= 36 ÷ 4
= 9 muffins on each plate
hence, the muffins put on each plate is 9
Whats the slope form?
Answer:
Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).
Answer is Ax+By=C. ... A, B, C are integers (positive or negative whole numbers)
Step-by-step explanation:
Plz mark brainliest
Step-by-step explanation:
I'm assuming you mean Point- Slope Form of a linear equation.
If so, then a point slope form of a linear equation is one that looks something like this:
y - y₁ = m (x - x₁)
where (x₁, y₁) is a point on the line and m is the gradient of the line.
see attached for more info
find the value of x and please show how
Answer:
?=91 degrees.
Step-by-step explanation:
There is no x- I'll find ? though.
So, angles in a triangle must equal 180.
180-29-62=89. The last angle in the triangle is 89 degrees.
A straight angle is equal to 180 degrees. ? + 89=180.
180-89=91.
?=91 degrees.
Hope this helped!
How do I factor this?
cos^4x - sin^4x
Answer: https://socratic.org/questions/how-do-you-simplify-cos-4x-sin-4x#618537
Answer:
Step-by-step explanation:
FYI,
a² - b² = (a + b)(a - b)
f(x) = [tex]cos^{4} x[/tex] - [tex]sin^{4} x[/tex] = (cos²x + sin²x)(cos²x - sin²x) =
= (cos²x + sin²x)(cos x + sin x)(cos x - sin x)
If you need to simplify, then
f(x) = 1 × (cos²x - sin²x) = cos(2x)
40 POINTS FOR ANYONE THAT CAN Answer
n is the middle integer of three consecutive positive integers.
The three integers are multiplied to give a product.
n is then added to the product.
Prove that the result is a cube number.
n must be used in your proof.
Your final line must consist of only,
= n^3
Answer :
[tex]\boxed{\textsf{ The final answer is \textbf{n}$^{\textbf{3}}$ .}}[/tex]
Step-by-step explanation:
Its given that n is the middle out of the three consecutive integers . So ,
The last integer will be :-
[tex]\sf\implies Last \ Integer \ = \ n - 1 [/tex]
The next Integer will be :-
[tex]\sf\implies Next \ Integer \ = \ n + 1 [/tex]
Now the Question says that the three integers are multipled to give a product . So that would be.
[tex]\sf\implies Product_{(three\ consecutive\ integers)}= (n-1)n(n+1) = (n^2-1)(n) = \pink{n^3-n}[/tex]
Now thirdly it's given that n is added to the given integer . That would be ,
[tex]\sf\implies Adding\ n = \ n^3 - n + n = \pink{n^3} [/tex]
Here - n and +n gets cancelled. So we are ultimately left out with n³.
Hence the final number is a cube of some number.
A (1;5) B(-2;3) AB - ?
Step-by-step explanation:
3360832553 ____ pass___ wZE2XQ
I NEED ANSWERS!! QUESTION 13
Answer: i dont know sorry
Step-by-step explanation:
Answer:
118
Step-by-step explanation:
A cylindrical pet carrier has a radius of 2 feet. If the height of the carrier is 1.7 feet, find the volume of the pet carrier. Round your answer to two decimal places. (use pi= 3.14)
Answer: [tex]31.352\ ft^3[/tex]
Step-by-step explanation:
Given
the radius of cylinder r=2 ft
height h=1.7 ft
The volume of a cylinder is given by
[tex]\Rightarrow V=\pi r^2h[/tex]
Putting values
[tex]\Rightarrow V=\pi \times 2^2\times 1.7\\\Rightarrow V=3.14\times 4\times 1.7=21.352\ ft^3[/tex]
What is an equation of the line that passes through the points (3, 4) and (4, 6)? Put
your answer in fully reduced form.
Answer:
y=2x-2
Step-by-step explanation:
4x^2-3x+1=0 ................................ .
Answer:
x = 3±i√7/8
Step-by-step explanation:
this is a fraction
Ms. Scarlet is roasting 4 chickens . Each chicken needs 1/2 cups of butter one stick of butter is one cup how many sticks of butter does she need?
Answer:
2 sticks
Step-by-step explanation:
4 chickens times 1/2 cups each
will give you 4/2
4/2 is 2
hence, the answer
Answer:
4 sticks of butter
Step-by-step explanation:
if each chicken needs half cup, then that would be one stick of butter. and 4 chickens need 2 cups of butter, which would be 4 sticks of butter...i hope this made sense...
0.006/6,000 is it Much Larger than or close to 1
Answer:
Less close to one
Step-by-step explanation:
0.006/6,000= 0,000001
if someone could give me the answer and step by step
Answer:
101 cm (to 3 sf)
Step-by-step explanation:
-First you want to find side CD:
. Draw a line from point C directly down to make a right angled triangle (you can lable the extra point whatever letter you want but for this explanation it's gonna be x)
. You know that CX will be 16.7cm because its the same length as BA
. To find CD you need to use SOH,more specifically the hypotenuse using SOH
. H=O/S (O=16.7, S= sin(43))
.put this in your calculator and you'll get CD=24.4868624 (don't round yet)
-now you wanna find AD but more specifically XD because that's the little part you don't know:
. Using the same triangle from earlier, we use CAH now to find A (aka XD)
. A=C*H (C=cos(43), H=24.4868624 (the value of H/CD from the previous calculation)
. That should give you: 17.90855746
. You're still not done, do 17.90855746+21.2=39.10855746 (this is your value for AD
-add all your values now:
39.10855746+24.4868624+16.7+21.2=101.4954199
-now round to 3 significant figures:
101.4954199 -> 101cm
The perimeter is 101cm
Write an equation in slope-intercept form of the line through point P(7, 9) and slope 3.
Answer:
9y=7x+3
Step-by-step explanation:
I hope this is right sorry if it is not
Answer:
y = 3x - 12
Step-by-step explanation:
y = mx + b
(m is the slope)
y = 3x + b
plug in your point
9 = 3 (7) + b
9 = 21 + b
subtract 21 on both sides
b = -12
y = 3x - 12
Hope this helps :)
x + 3 1/2 = 10 What is the value of x?
Answer:
X = 6 1/2
Step-by-step explanation:
X is equal to 6 1/2 because, if you subtract 3 1/2 from 10 you will be left with 6 1/2.
Mrs. Meier bought 5 pounds of
carrots for $1.75. Which represents
the same price per pound?
Answer:
0.35 cents
Step-by-step explanation:
Answer:
it is $0.35 per pound
Step-by-step explanation:
1.75/5 = 0.35
5 tons of cement cost $900.00. What is the price per pound?
Answer:
Cement costs vary from approximately $50 to $75 per ton or 2.5 to 3.75 cents per pound.
Step-by-step explanation:
If you do this you’re a life saver
Answer:
-2 and 3 is the answer
Step-by-step explanation:
which reflection does the image show?
Answer:
B
Step-by-step explanation:
What is the value of x in the solution to this system of equations?
3x - 5y = 22
y = -5x + 32
Answer:
Replace all occurrences of y with −5x+32 in each equation.
28x−160=22
y=−5x+32
Solve for x in the first equation.
x=13/2
y=−5x+32
Replace all occurrences of x with 13/2 in each equation.
y=−1/2
x=13/2
The solution to the system is the complete set of ordered pairs that are valid solutions. ( 13/2, −1/2 )
The result can be shown in multiple forms. Point Form: (13/2,−1/2)
Equation Form:
x=13/2, y=−1/2
Step-by-step explanation:
The value of x in the solution to given system of equations is 13/2
Here,
Given system of equations are;
3x - 5y = 22 -----(i)
y = -5x + 32 -----(ii)
What is system of equations?
A system of equations is a set of two or more equations with the same variables.
Now, in given system of equations put the value from (ii) in (i), we get
⇒ 3x - 5 (-5x + 32) = 22
⇒3x + 25x - 160 = 22
⇒28 x = 182
⇒ x = 182/28
⇒ x = 13/2
Hence, The value of x in the solution to given system of equations is 13/2.
Learn more about the System of equation visit:
https://brainly.in/question/30728230
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i will give brainly to the person who answers first
what is 1/2 divided by 6
Answer:
I don't completely understand your question but the answer is 0.8333333333
Step-by-step explanation:
When you said 1/2 I assumed you meant fraction, so I turned 1/2 into a fraction which is 0.5. Then I divided 0.5 by 6 on a calculator and that is how I got my answer.
plz help me due today
Answer:
Plan A: Geometric function
Plan B: Arithmetic function
Monday
10, 30
Tuesday
20, 40
Wednesday
40, 50
Thursday
80, 60
Friday
160, 70
If △ABC∼△LMN and △LMN∼△XYZ, is △ABC∼△XYZ? Use the AA similarity criterion to support your answer.
Answer:
yes because transitive property
Step-by-step explanation:
if abc~lmn, then the angles a and b are similar to angles l and m. and if lmn~xyz then angles l and m are similar to angles x and y. therefore, using transitive property, angles a and b would be similar to angles x and y. so using AA similarity, the two triangles would be similar
At the toy store, 3 toy cars cost $2.37. How much does it cost to buy 30 toy cars?
Answer:
23.7
Step-by-step explanation:
Multiply 2.37 by 10
Answer:
$23.70
Step-by-step explanation:
3 toy cars
Each cost $2.37
How much does 30 toy cars cost
________________________________
We know that 3 toy cars cost 2 dollars and 37 cents. To solve, we first need to find what times 3 gets us 30.
3 * ? = 30
30 / 3
10
Therefore you need to multiply the amount of toy cars by 10 to get thirty toy cars, since three of them cost 2.37, multiply 10 by 2.37.
$2.37 * 10
$23.70
From the set {8, 18, 26}, use substitution to determine which value of x makes the inequality true.
4 + x < 22
Answer: 4 + 8 < 22
Step-by-step explanation:
Take all of the given numbers from the set and add them with 4
4+8=12
4+18=22
4+26=30
Meaning the only answer that is smaller than 22 is 4+8
Four plus eight is less than 22
Answer:
Step-by-step explanation:
Take all of the given numbers from the set and add them with 4
4+8=12
4+18=22
4+26=30
Meaning the only answer that is smaller than 22 is 4+8
Four plus eight is less than 22
A qué se debe que un fluido pierda presión al pasar por un ducto más pequeño
Answer:
??
Step-by-step explanation:
Will give brainliest
Answer:
10.11
Step-by-step explanation:
I just think so ahah
9.45 x 10 10
1.5 x 106
help please
Answer:
3 3/5
Step-by-step explanation: