Answer:
y = 2[tex](x - 3)^{2}[/tex] - 1
Step-by-step explanation:
y = 2[tex]x^{2}[/tex] - 12x + 16
y = 2([tex]x^{2}[/tex] - 6x + 8) ( Factor out 2 )
y + 9= 2([tex]x^{2}[/tex] - 6x + 9) + 8 ( Complete the square [tex](\frac{-b}{2} )^{2}[/tex] ) Add 9 both sides
y + 9 = 2 [tex](x - 3)^{2}[/tex] + 8 (Subtract 9 each side)
y = 2 [tex](x - 3) ^{2}[/tex] - 1 ( simplify )
Question 6(Multiple Choice Worth 1 points)
(01.02 MC)
Solve the equation 4(2x + 1) = 6x - 12.
o
13
X=-
2
Ox= -8
O x = 8
ex="
11
2
Answer:
4(2x+1)=6x-128x+4=6x-128x-6x=-12-42x=-16x=16÷2 x=4If f(x) = 3x^2 + 4x-5, then f(-2) =
f(x) = 3x² + 4x - 5
So, f(-2)
= 3(-2)² + 4(-2) - 5
= 3(4) + (-8) - 5
= 12 - 8 - 5
= 4 - 5
= -1
Answer:
-1
Step-by-step explanation:
[tex]f(x) = 3x {}^{2} + 4x - 5 \\ f( - 2) = 3( - 2) {}^{2} + 4( - 2) - 5 \\ = 12 - 8 - 5 \\ = - 1[/tex]
In 2004 there were 7,000000 people living alone in great Britain this is four time as many as in 1961, Calculate how many people lived alone in 1961. Express your answer in standard form
Answer:
1.75 × 10⁶
Step-by-step explanation:
7,000,000 ÷ 4 = 1750000
Which is 1.75 × 10⁶ in standard form
4a {3а2а +4)- 34 2а- 5) a[3а" (а)
How do I simplify this
Answer:
Simplify the expression.
36a to the power of 7 then - 156a to the power of 4 then -15a to the power of3
PLS HELP FAST! I NEED THIS FAST :((
Answer:
In order:
Distributive Property
Subtraction Property of Equality
Division Property of Equality or Reciprocal Property
Step-by-step explanation:
F= P(1 + r)!
Rearrange the formula to highlight the present value.
P=
[tex]\tt\displaystyle\ P(1+r)!= r*(r-1) *(r-2)*(r-3) ..... *1[/tex]
Can anyone answer this I’m having trouble
Answer:
[tex]{ \bf{0.35{ \bar{2}}}} = { \bf{0.352222222....}} \\ = \frac{317}{900} [/tex]
a train leaves Westchester at 6:30. What time should it arrive at Middlewich
Answer:
a). 6:51
b). 6:30 am
c). 34 minutes
Step-by-step explanation:
a). Train leaves Westchester at 6:30.
From the arrival - departure table in column (2),
Arrival time of the train at middlewich = 6:51
b). Kate has to reach Southam before 9:00 am
Therefore, time of the latest train that she can catch to get to work on time is 6:30 am
By this train she can reach at 07:19 at Southam.
c). Duration of journey from Westchester to Eastwick = 06:34 - 06:00
= 00:34
≈ 34 minutes
Abraham set the table for a picnic using round plates. Each plate has a diameter of 8 inches. What is the area of each plate?
Answer:
50.265
Step-by-step explanation:
Area is radius square times pi. Radius is half of diameter .Diameter is 8 inches. Radius is 4 inches. 4 squared is 16. 16 times pi is 50.265
the set of all possible factors of 18, 30 and 36 then make a set of their common factors and find the H.C.F . please explain briefly
Answer:
HCF = 6
Step-by-step explanation:
Listing the factors of each number
18 is 1, 2, 3, 6, 9, 18
30 is 1, 2, 3, 5, 6, 10, 15, 30
36 is 1, 2, 3, 4, 6, 9, 12, 18, 36
common factors are 1, 2, 3, 6
the HCF is 6
Which of the following expressions is equivalent to the one shown below? (3/2)8 A 3^8/2^8 B 3^8/2 C 3/2^8 D 8•(3/2)
Answer:
Step-by-step explanation:
What is the solution to the equation below. Round your answer to two
decimal places
In x= 3.1
The solution to the equation below rounded to 2 decimal places is 22.20.
How to simplify logarithmic equations?Given the logarithmic expressions
ln x = 3.1
We are to determine the value of "x"
ln x = 3.1
Take the exponent of both sides
e^ln x = e^3.1
The exponent will cancel out the log function to have:
x = e^3.1
x = 22.197
Hence the solution to the equation below rounded to 2 decimal places is 22.20.
Learn more on log function here: https://brainly.com/question/1695836
Clare has $150 in her bank account, She buys a bike for $200 whatsis Clare's balance now
Answer pls
Answer:
-50
Step-by-step explanation:
Given f(x) = x^3 - 9x and g(x) = x^2, choose
the expression for (fºg)(x).
Answer and Step-by-step explanation:
We are given two functions, f and g. We are asked to find the value of f evaluated at g(x).
Here, we need to plug in every value of x in f(x) with the value of g(x).
f(g(x)) = [tex](x^2)^3-9(x^2)[/tex]
An exponent raised by an exponent results in the exponents multiplying together.
f(g(x)) = [tex]x^6 - 9x^2[/tex] <- This is the final answer.
I hope this helps!
#teamseas #PAW (Plant And Water)
(-2x+1) (2x^2-1/3x+2)
Answer:
JHJHJHJHUJ3480945768
658768
Step-by-step explanation:
684867765543545
Ans x = 0.5
Step-by-step explanation:
[tex]= -4x^{3} + 2x^{2} +\frac{2}{3}x^{2} -\frac{1}{3}x-4x+2\\= -4x^{3}+\frac{8}{3}x^{2} -\frac{13}{3}x+2\\[/tex]
If the equation requires to find x, you can use Casio calculator to solve this by some basic formula:
Step 1: Type [tex]-4x^{3}+\frac{8}{3}x^{2} -\frac{13}{3}x+2[/tex]
Step 2: Press Shift SOLVE (CALC)
Step 3: Press "0" for Solve for X
-> You will find the x is 0.5
a rectangle consists of two identical squares with a common side. The perimeter of the rectangle is 27 inches. Find its area
Answer:
40.5 square inches
Step-by-step explanation:
Rectangle consists of two identical squares.
So, if the sides of square = x,
Then, Width of rectangle = x &
Length of rectangle = x +x = 2x
Perimeter of rectangle = 27 inches
2*(length + width) = 27
2*( 2x + x) = 27 {Combine like terms]
2* 3x = 27
6x= 27 {Divide both sides by 6}
x = 27/6
x = 4.5
Width = x = 4.5 inches
Length = 2x = 2*4.5 = 9 inches
Area of rectangle = length *width
= 4.5 *9
= 40.5 square inches
Answer:
40.5
Step-by-step explanation:
Solve for x. Thank you
Answer:
solve for what exactly, there is no equation here
Step-by-step explanation:
please there's no equation here
What is the length of the unknown leg in the right triangle…?
As we know,
In a triangle, the sum of lengths of two side is greater than the third side.
[tex]20 + 25 > b[/tex]
[tex]b + 20 > 25[/tex]
[tex]25 + b > 20[/tex]
Answer = 15m
How would the expression x2 -9 be rewritten using Difference of Squares?
Answer:
(x + 3) (x - 3)
Step-by-step explanation:
[tex]a^{2} -b^2=(a+b)(a-b)[/tex] where a = x and b = 3
x^2 - 3^2 =
x^2 - 9 =
(x + 3)
(x - 3)
Answer:
Step-by-step explanation:
x²-9=x²-3²
Ion kno this help pls?????????????
Answer:
[tex]2 {x}^{2} - x - 1 \\ 2 {x}^{2} - (2 - 1)x - 1 \\ 2 {x}^{2} + 2x - 1x - 1 \\ 2x(x + 1) - 1(x + 1) \\ (2x - 1)(x + 1)[/tex]
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
x = 2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{x}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
x = 2[tex]\sqrt{2}[/tex]
Answer:
Solution given:
Relationship between perpendicular and hypotenuse is given by sin angle
Sin 30°=opposite/hypotenuse
½=[tex]\frac{\sqrt{2}}{x}[/tex]
x=2*[tex]\sqrt{2}[/tex]
The value of x is 2[tex]\sqrt{2}[/tex]
The graph of g(x) = |x - h1 + k is shown on the
coordinate grid. What must be true about the signs of h
and k?
Answer:
Step-by-step explanation:
D.The sign of h must be negative and the signal of k must be positive *it’s for sure the answer.
Answer:
D.The sign of h must be negative and the signal of k must be positive EDGE 2021
Suppose that partners equally share the profits from a sale of $3,800. Which algebraic expression represents this
situation?
0360040
0 3600-
36000
3800 -
р
HURRRYY IM ALMOST OUT OF TIME SMB HELP!
Answer:
3600 / p
Step-by-step explanation:
The partners share the company equally so it would be 3600 / p because each person would get an equal share.
If there were 2 partners, each would get 1800.
If there were 4 partners each would get 900.
It makes it so each partner gets and equal amount with this equation
A circular sheet covers 425cm on the table,find the area of the sheet.
solve this question plz.
Answer:
sorry i cannot help you
I need help very badly. thanks
Answer:
Step-by-step explanation:
area of a triangle is 1/2* base * height
1/2* 2.6* 3 is the area of the end of the object , now just multiply by it's length
9*( 1/2* 2.6* 3 )
this looks like choice 3 of the choices
a.
Complete each sentence.
Point A is located at
The ordered pair (-2, 4) is located at
Point A is located at (1,-3)
The ordered pair (–2, 4) is located at T
The point A is located at (1,-3). The ordered pair (-2,4) is located at point T.
Coordinate geometry, also known as analytic geometry, is a branch of mathematics that combines algebraic techniques with the principles of geometry. It provides a way to represent and study geometric figures and their properties using algebraic equations and coordinates.
In coordinate geometry, points in a plane are represented by ordered pairs of numbers called coordinates. The most common coordinate system is the Cartesian coordinate system, which uses two perpendicular lines, the x-axis and the y-axis, to locate points.
The location of point A is at (1,-3) from the graph. The ordered pair (-2,4) is representing point T on the graph.
To know more about coordinate geometry follow
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#SPJ2
which is represented by the table
Answer:
I think its is C
If we want to provide a 95% confidence interval for the mean of a population, the confidence coefficient will be
Step-by-step explanatiosorry don't understand question be more specific
Question
Example
Step by Step
A
You can represent the measures of an angle and its complement as xºand (90-x)º.
Similarly, you can represent the measures of an angle and its supplement as x and
(180 - x )°. Use these expressions to find the measures of the angles described.
The measure of an angle increased by 68° is equal to the measure of its complement.
The measure of the angle is
and the measure of its complement is
Answer:
The measure of the angle is 11 and its complement is 79 degrees
Step-by-step explanation:
Mathematically, when two angles are complementary, the sum of the angles equal 90 degrees
so now, if the first angle is x , the second angle which is increased by 68 degrees will be x + 68
So now if we add these two, the value we will get is 90 degrees
Mathematically, we have this as;
x + x + 68 = 90
2x + 68 = 90
2x = 90-68
2x = 22
x = 22/2
x = 11
the measure of the angle is 11 and its complement will be 11 + 68 = 79
Which graph represents a function?
Answer:
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.