Answers
Answer:
f(x) = - 2(x - 3)² + 2
Step-by-step explanation:
Given
f(x) = - 2x² + 12x - 16 ( factor out - 2 from the first 2 terms )
= - 2(x² - 6x) - 16
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - 6x
f(x) = - 2(x² + 2(- 3)x + 9 - 9) - 16
= - 2(x - 3)² + 18 - 16
= - 2(x - 3)² + 2
Related Questions
Determine if the columns of the matrix form a linearly independent set. Justify your answer. Choose the correct answer below. A. The columns of the matrix do form a linearly independent set because the set contains more vectors than there are entries in each vector. B. The columns of the matrix do form a linearly independent set because there are more entries in each vector than there are vectors in the set. C. The columns of the matrix do not form a linearly independent set because the set contains more vectors than there are entries in each vector. D. The columns of the matrix do not form a linearly independent set because there are more entries in each vector than there are vectors in the set.
Answers
Th matrix is missing. The matrix is :
[tex]\begin{bmatrix}1 &-4 &4 \\ -4 &16 & 4 \end{bmatrix}[/tex]
Solution :
The column of the matrix are [tex]\begin{bmatrix}1\\ -4\end{bmatrix}[/tex] , [tex]\begin{bmatrix}-4\\ 16\end{bmatrix}[/tex], [tex]\begin{bmatrix}4\\ 4\end{bmatrix}[/tex]
Now each of them are vectors in [tex]$IR^2$[/tex]. But [tex]$IR^2$[/tex] has dimensions of 2. But there are 3 column vectors, hence they are linearly dependent.
Therefore, the column of the given matrix does not form the [tex]\text{linearly independent set}[/tex] as the set contains [tex]\text{more vectors}[/tex] than there are entries in each vector.
Therefore, option (D) is correct.
A measure that describes the typical value of a data set
a
measure of variation
b
mean absolute deviation
c
statistics
d
range
e
measure of center
f
statistical question
Answers
e
measure of center
as A measure that describes the typical value of a data set mean,median and mode.
I borrowed $400 to buy an MP3 player. I got a two-year loan, and the lender is charging 8% simple annual interest. How much money will I have to pay back?
What decimal is equivalent to 8%?
Answers
Answer:
$464 (0.08 is the decimal form of 8%)
Step-by-step explanation:
Answer:
The Answer is 0.08 Just did the Question
Step-by-step explanation:
Writes a number sentence that is an example of the Distributive Property of Multiplication. Which shows Jamie's number sentence? Group of answer choices
Answers
Answer:
The answer is "[tex]8\times 9=70+2[/tex]"
Explanation:
The distributive property indicates that by simply multiplying integers (factors) together, each factor would be split into 2 accompanying texts, both added by the other and that both products would be added together. Its distributive property explains that How we break down one of the components doesn't matter.
[tex]\to 8\times 9=70+2\\\\\to 72=72[/tex]
So, L.H.S=R.H.S
PLZ NEED HELP IS DUE TONIGHT !!!!!!!!!!!!!!!!
Answers
Answer: 9/20
How to: Simplify the expression.
Have a great day and stay safe ! sorry if im wrong .
CD is the Diameter. The measure of Arc CD is llx Find the length of the radius in the circle
Answers
Answer:
11
Step-by-st1p explanation:
34.5575191895
so circumference for semi circle is 34.56
times that by two u get circumference for circle
which is 69.12
formula for circle =
C=D*pi
so D=C/pi
so D=69.12/pi
approximately = 22
and divide that by 2 to find radius
22/2 =11
11
Mr. Nieto has to pay an income tax of
15% on earned wages of $25,500. How
much money will Mr. Nieto spend to pay the
income tax?
F $382.50 H $3,825.00
G $25,882.50 J $29,325.00
Answers
Answer:
The answer is (H) because you multiply 25,500 by 15% hope its right.
Step-by-step explanation:
SOMEONE HELP ME WITH 13 and 14 please!!!! Will make
U brainlist!!!
Answers
Answer:
here u go
Step-by-step explanation:
and here is 8 and 9
Evaluate the expression when n= 3.
n2+8n+6
Answers
Answer:
36
Step-by-step explanation:
50 points has to be a new answer NOT from any sites.
a) Describe how the line of best fit and the correlation coefficient can be used to determine the correlation between the two variables on your graph.
Answers
Answer:
A correlation coefficient shows where one variable changes in results to the other. A line of best fit is the best fit line that passes through or near the graphed data. It is used to describe data and predict where new data will appear on the graph. These two methods help to find correlation between variables as they are used to predict how and where variable are and will go in correlation to one another.
Step-by-step explanation:
someone pls help me
Answers
Because if think about the base and the area
You will understand
Greenwood Lake is pictured below on a grid where each square has sides that are 1 mile long.
A lake covers an area slightly more than 4 units.
What is the best estimate of the area of the lake?
6 square miles
9 square miles
14 square miles
16 square miles
Answers
1 sq units would be 1 mile, so 4 units are 4 miles. A little bit more than 4 is 6.
Product of two integers is -6 and There sum is 1
Answers
Answer:
3 and -2
Step-by-step explanation:
xy = -6
x + y = 1
let 'x' = y-1
y(y-1) = -6
y² - y + 6 = 0
(y-3)(y+2) = 0
y = 3 and -2
Amelia needs to buy some cat food. At the nearest store, 2 bags of cat food cost $4.50. How much would Amelia spend on 6 bags of cat food?
Answers
Answer:
$13.50
Step-by-step explanation:
2 bags of cat food = $4.50
1 bag of cat food = 2/4.50
= 2.25
6 bags of cat food = 2.25*6
=13.50
You flip a coin, spin the spinner, and flip a coin again. Find the probability of flipping heads, spinning an even number, and then flipping heads. The probability is %
Answers
Answer:
1/10
Step-by-step explanation:
P heads,even,heads = P heads * P even *P heads =
1/2 * 2/5* 1/2 = 1*2*1/2*5*2= 1/10
The diameter of Jacob's circular tabletop is 6 feet. What is the area, in square feet, of Jacob's tabletop? A 6 B. 9 С. 12 D 36
Answers
Answer:
B. 9
Step-by-step explanation:
the area = π × 3² = 9π ft²
Area of a circle = pi x R^2
R is the radius which is 1/2 the diameter.
R = 6/2 = 3 feet
Area = pi x3^2
Area = 9pi
The answer is B
Help please !! What’s the answer ??
Answers
Answer:
2(5+3)
Step-by-step explanation:
Answer:
2(5$+3$)
Step-by-step explanation:
hope this helps
What is the solution to the pair of simultaneous equations? 2x+y=5. 3x-2y=4
Answers
Answer:
(2, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
2x + y = 5
3x - 2y = 4
Step 2: Rewrite Systems
Manipulate 1st equation
[Subtraction Property of Equality] Subtract 2x on both sides: y = 5 - 2xStep 3: Solve for x
Substitution
Substitute in y [2nd Equation]: 3x - 2(5 - 2x) = 4[Distributive Property] Distribute -2: 3x - 10 + 4x = 4[Addition] Combine like terms: 7x - 10 = 4[Addition Property of Equality] Add 10 on both sides: 7x = 14[Division Property of Equality] Divide 7 on both sides: x = 2Step 4: Solve for y
Substitute in x [Modified 1st Equation]: y = 5 - 2(2)Multiply: y = 5 - 4Subtract: y = 1PLEASE HELP FAST ITS DUE SOONNN
Answers
Answer:
ST = CHORD
PR = RADIUS
MN = DIAMETER
Step-by-step explanation:
Answer:
ST) Chord/// PR) Radius/// MN) Diameter
49 × 66 + 49 × 34 = 49 × ( ____+ _____)
Answers
Answer:
20
hsjdj
ienrjriridifbruridbdhe
I NEED ANSWERS AND WORK ON THIS ASAP PLEASE!!!!!
Answers
3.) =2±1 4.) v=2 v=6
The variables x, y, and z vary jointly.
1. If x = 4, y = 3, and z = 24, what is the constant of variation, k?
2. Now find z when x = -3 and y = 4.
k=
When x = -3 and y = 4, z =
Answers
Answer:
k = 18
when x = 4, y = 3, z = -24
Step-by-step explanation:
x = k * y * z
Find k when x = 4, y = 3, and z = 24
4 = k * 3 * 24
4 = k * 72
4 = 72k
k = 72/4
k = 18
find z when x = -3 and y = 4
x = k * y * z
-3 = 18 * 4 * z
-3 = 72 * z
-3 = 72z
z = 72/-3
z = -24
Find a.
Write your answer in simplest radical form.
Answers
Answer: 16
Step-by-step explanation:
I think so.
Answer:
26.25
Step-by-step explanation:
sin60=8/f
sin60(f)=8
(sin60(f))/sin60=(8)/sin60
f=26.25
Need help on this ASAP
Answers
Answer:
its attatched
Guys, A little help here pls? lol
Basically uhhh Im not really sure what unit rate is yet and its kinda a new lesson we're learning-
Answers
4.5
4.5
4.5
4.5
4.5
4.5
4.5
4.5
4.5
Which of the following expressions will produce an answer with three significant figures? Check all that apply. A. 101 - 83.4 B. 121 - 1.75 O C. 7.23 + 12.6 D. 17. 1.5
Answers
Answer: option A and D results in 3 significant figures.
Step-by-step explanation:
A. [tex]101 - 83.4 =17.6[/tex]
The number 17.6 has three significant figures.
B. [tex]121 - 1.75 =119.25[/tex]
The number 119.25 has 5 significant figures
C. [tex]7.23 + 12.6=19.83[/tex]
The number of 19.83 has 4 significant figures.
D. [tex]17\cdot 1.5=25.5[/tex]
The number of 25.5 has 3 significant figures.
Hence, option A and D results in 3 significant figures.
Kaitlyn loves to roller skate. Since she skates so much, she decided to buy her own
skates. She looked at several stores and found a pair she liked for $74.79. She has
$193.42 in her savings account. If she takes out the money to buy the skates, how much
money will be left in her savings account?
$268.21
$124.65
$118.63
$256.86
Answers
Answer:
118.63
Step-by-step explanation:
Which number are factors of 4? 9,7,6,1 select al that apply
Answers
Answer:
1
Step-by-step explanation:
the factors of 4 are 1, 2, 4
1 x 4 = 4
2 x 2 = 4
4 x 1 = 4
Please help, don’t understand
Answers
Answer:
x = 9 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp side/ hypotenuse
sin x = 15/91
Taking the inverse sin of each side
sin ^-1 (sin (x)) = sin ^ -1( 15/91)
x =9.487658996
To the nearest degree
x = 9 degrees
A red light flashes every 6 seconds.
A yellow light flashes every 4 seconds.
They both flash at the same time.
After how many seconds will they next both flash at the same time?
Answers
Answer:
Red light flashes once every 6 seconds, blue light flashes once every 10 seconds, so the next time the blue light flashes(20 seconds), the red light would have completed 18 seconds and the next time blue light flashes (30 seconds), the red light would also be flashed at the same time.
Step-by-step explanation: