Find all values of k, if any, that satisfy the equation (in attachment). Enter the exact answer(s).
Answers
Compute the rightmost product:
[tex]\begin{bmatrix}1&2&0\\2&0&4\\0&4&-1\end{bmatrix}\begin{bmatrix}2\\2\\k\end{bmatrix}=\begin{bmatrix}1\times2+2\times2+0\times k\\2\times2+0\times2+4\times k\\0\times 2+4\times2+(-1)\times k\end{bmatrix}=\begin{bmatrix}6\\4k+4\\8-k\end{bmatrix}[/tex]
Then
[tex]\begin{bmatrix}2&2&k\end{bmatrix}\begin{bmatrix}6\\4k+4\\8-k\end{bmatrix}=2\times6+2\times(4k+4)+k\times(8-k)=-k^2+16k+20[/tex]
Use whatever methods you like to solve the remaining quadratic equation:
-k ² + 16k + 20 = 0 → k = 8 ± 2√21
Related Questions
en la siguiente imagen cuál es la respuesta correcta
Answers
Answer:
2.5
Step-by-step explanation:
What is (f o g) (3) if f (x) =3x-1 and g(x) = 4x^2 -9?
Answers
Answer:
4x+1
Step-by-step explanation:
Solve the equation.
-6p=48
Answers
Answer:
p=-8
Step-by-step explanation:
A negative multiplied by a negative is a positive.
What is the multiplier for a 30% decrease. *
Answers
Answer:
0.7
Step-by-step explanation:
Let the number to be decreased be x. To decrease x by 30 %, the result will be
= x - 30% * x
= x - 0.3x
= 0.7x
From above, the result is 0.7 multiplied by the number to be reduced. Hence the multiplier is 0.7
What is the total area, in square feet, of the figure? (If possible please explain how you got your answer)
Answers
Answer:
This is going to be really long so sorry in advance :)). So i split the shape into two (so straight down).This therefore allows me to calculate the areas of both rectangles and add them together - (to give total area)
Area of A x(x^2-6)
=x^3-6x
Area of B
=(2x^3-5x^2-12x+14) (5x-14)
10x^4-28x^3-25^3-70x^2-60x^2+168x+70x-196
simplified: 10x^4-53^3-130x^2+238x-196
so add both areas to give total are:
=(x^3-6x) +(10x^4-53x^3-130x^2+238x-196)
=10x^4-52x^3-130x^2+232x-196
Thats it hope it helps :)
Step-by-step explanation:
Last Wednesday, two friends met up after school to read the book they were both assigned in Literature class. Kylie can read 1 page per minute, and she had already read 81 pages. Adam, who has a reading speed of 2 pages per minute, had read 37 pages. Eventually they had read the same number of pages. How long did that take? How many pages had each of them read?
Answers
Answer:
45 minutes
Step-by-step explanation:
They both have 127 pages after 45 minutes.
Write the equation of the line of reflection in the following picture
Answers
Answer:
it is reflected in the x-axis so y=0
In the triangle below,
y = [ ? ]°. Round to the nearest
tenth.
ly
8 cm
90°
X
10 cm
I
Enter
Answers
9514 1404 393
Answer:
51.3°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides of a right triangle.
Here, you're given the side opposite angle y and the side adjacent to it. This suggests that the TOA relationship is most useful:
Tan = Opposite/Adjacent
tan(y) = (10 cm)/(8 cm) = 1.25
Then the angle is found from the inverse tangent function:
y = arctan(1.25)
y ≈ 51.3°
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
x = 6
Step-by-step explanation:
Since the given triangles ΔLMN and ΔCBQ are similar,
Their corresponding sides will be proportional.
[tex]\frac{LM}{CB}= \frac{MN}{BQ}=\frac{NL}{QC}[/tex]
Since, [tex]\frac{LM}{CB}= \frac{MN}{BQ}[/tex]
[tex]\frac{(5x-6)}{6}=\frac{52}{13}[/tex]
5x - 6 = 24
5x = 30
x = 6
Therefore, x = 6 will be the answer.
A blogger had 400 subscribers to her blog in January. The number of subscribers has grown by a factor of 1.5 every month since then. Write a sequence to represent the number of subscribers in the 3 months that followed.
Answers
Answer:
[tex]600, 900, 1350[/tex]
Step-by-step explanation:
Given
[tex]a = 400[/tex] -- initial subscribers
[tex]b = 1.5[/tex] -- growth factor
Required
Determine the number of subscribers in the next three months
To do this, we make use of:
[tex]y = ab^x[/tex]
In this case:
x is the number of months
y is the number of subscribers
So:
when x = 1;
[tex]y = ab^x[/tex]
[tex]y = 400 * 1.5^1[/tex]
[tex]y = 400 * 1.5[/tex]
[tex]y = 600[/tex]
when x = 2
[tex]y = 400 * 1.5^2[/tex]
[tex]y = 400 * 2.25[/tex]
[tex]y = 900[/tex]
when x= 3
[tex]y = 400 * 1.5^3[/tex]
[tex]y = 400 * 3.375[/tex]
[tex]y = 1350[/tex]
So, the next three number of subscribers is:
[tex]600, 900, 1350[/tex]
help! answer options included
Answers
Answer:
Y = [-6 6 6 -6]
Step-by-step explanation:
From the given matrices
If X - 2Y = Z
b - 2c = a ... 1
a -2d = c ...2
4+2a = 16.... 3
a + 2b = b .... 4
From3 ;
2a = 16-4
2a = 12
a = 6
From 4;
a + 2b - b = 0
a+b = 0
a = -b
6 = -b
b = -6
From1;
b - 2c = a
-6 - 2c = 6
-2c = 12
c = -6
also
a - 2d = c
6-2d = -6
-2d = -6-6
-2d = -12
d = 6
Hence the matrices Y = [-6 6 6 -6]
The equation can be stated in three forms:
In the first set of problems below, you will be given the mass of an object and the acceleration of that object, and then will need to solve for force, using the equation F = ma.
In other words, you will need to multiply the mass times the acceleration to calculate the force.
Be sure to convert any mass stated in grams into kilograms, by dividing it by 1000 (moving the decimal place over three places to the left). For example, 1000 grams is equal to 1 kilogram.
Be sure to state the proper units in your answer.
1. An object with a mass of 2.0 kg accelerates 2.0 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________
2. An object with a mass of 5.0 kg accelerates 8.0 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________
3. An object with a mass of 1500 g (grams) accelerates 10.0 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________ force force f = m•a m = f/a a = f/m
4. An object with a mass of 6.0 kg accelerates 4.0 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________
5. An object with a mass of 7.5 kg accelerates 8.3 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________
In this next set of problems below, you will be given the force applied to an object and the acceleration of that object, and then will need to solve for mass, using the equation m = F/a. In other words, you will need to divide the force by the acceleration to calculate the mass. Show your work in the space provided. Be sure to state the proper units in your answer.
6. An object accelerates 3.0 m/s2 when a force of 6.0 newtons is applied to it. What is the mass of the object? ___________________________
7. An object accelerates 12.0 m/s2 when a force of 6.0 newtons is applied to it. What is the mass of the object? ___________________________
8. An object accelerates 5.0 m/s2 when a force of 20.0 newtons is applied to it. What is the mass of the object? ___________________________
9. An object accelerates 2.0 m/s2 when a force of 12.0 newtons is applied to it. What is the mass of the object? ___________________________
Answers
Answer:
Hey this is your sign to have a great day!
Step-by-step explanation:
Good Luck!!!!!!!!!11
During a cross-country road trip, Nathan predicts that he will average 22.6 miles per gallon.
During the trip, he drives 2,882 miles and uses 131 gallons of gas. Calculate his percent error,
rounded to the nearest whole percent.
3%
6%
13%
22%
Answers
Answer:
22
Step-by-step explanation:
For numbers 7 - 10:
Mr. and Mrs. Banal purchased a house and lot worth P4,000,000. They pa
payment of P800, 000. They plan to amortize the loan of P3. 200,000
monthly for 20 years. The interest rate is 12% convertible monthly.
A. P 5,319.98
C. P 35,234.76
B. P 29,914.78
D. P 5,256,342.40
7. How much is the monthly payment?
8. What is the total interest paid?
9. What is the principal and interest components of the 51st paym
10. What is the interest components of the 51st payment?
Answers
Answer:
Lo averiguaste, lo siento, amigos míos, por haberlos ayudado. pero la respuesta es 456 $.
Step-by-step explanation:
3.
On a coordinate plane, a line segment has P(6,2) and Q(3,8).
Point M lies on PQ and divides the segment so that the ratio
of PM:MQ is 3:2. What are the coordinates of point M?
A. (4.5, 5.0)
B. (5.6, 4.2)
C. (4.8, 4.4)
D. (4.2, 5.6)
Answers
Answer:
[tex]M(x,y) = (4.8,4.4)[/tex]
Step-by-step explanation:
Given
[tex]P(x_1,y_1) = (6,2)[/tex]
[tex]Q(x_2,y_2) = (3,8)[/tex]
[tex]m:n = PM:MQ = 3 : 2[/tex]
Required
Determine the coordinates of M
To solve this, we make use of the following partition formula:
[tex]M(x,y) = (\frac{nx_2+mx_1}{n+m},\frac{ny_2+my_1}{n+m})[/tex]
Substitute values for m, n, x's and y's
[tex]M(x,y) = (\frac{2*3+3*6}{2+3},\frac{2*8+3*2}{2+3})[/tex]
[tex]M(x,y) = (\frac{24}{5},\frac{22}{5})[/tex]
[tex]M(x,y) = (4.8,4.4)[/tex]
Option D is correct
Over a two hour time period a snail moved 50 inches. How far is this in yards? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answers
Answer:
1.3 yards
Step-by-step explanation:
Answer:
1 7/18 yards or 1 14/36 yards.
Step-by-step explanation:
There are 36 inches in a yard, so you divide 50 by 36.
You get a variety of answers depending on what form you want it in:
1 yard 1 foot and 2 inches.
1 yard and 14 inches.
These two answers take two forms as fractions of 36:
1 14/36 yards
or simplified: 1 7/18 yards.
4)
Write an equation to model the
scenario:
You buy a house for $215,000. The
value of the house increases 3%
Each year
Answers
x=number of years
215,000 x .03x = y
Hey Can someone help me please
Answers
a square is cut from rectangle the side length of the square is half of the unknown with W the area of the Shaded region is 84 square inches write an equation you can use to find the width in inches
Answers
Answer:
Step-by-step explanation:
Just give me the answer
Find this in the graph g(-4) =
Answers
Answer:
g(-4) = 1
General Formulas and Concepts:
Algebra I
Reading a Cartesian planeCoordinates (x, y)Function NotationStep-by-step explanation:
What g(-4) is saying is what the output of the function g(x) when x= -4. According to the graph, when x = -4, y = 1.
∴ g(-4) = 1
PLZ HELP PLZZZZZZZZZZ
Answers
Answer:
c i believe
Step-by-step explanation:
How many 3/4 inch pieces can be cut from a ribbon that is 7 1/2 inches in length?
Answers
Answer:
10 pieces
Step-by-step explanation:
7 1/2 / 3/4 =
7.5 / .75 =
10 pieces
Hope that helps!
A rectangular prism has the dimensions shown below.
3 cm
3 cm
12 cm
What is the volume of the rectangular prism?
Answers
Answer:
108 cubic cm
Step-by-step explanation:
Multiply 3, 3, and 12. Just multiply the dimensions of the cubes.
original price: $148 discount: ? sale price: $125.80
Answers
Answer:
15 % off
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 148 × 15/100
Discount = 148 x 0.15
You save = $22.20
Final Price = Original Price - Discount
Final Price = 148 - 22.2
Final Price = $125.80
Leslie bought 5.2 gallons of gas. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline Leslie bought?
A 5.72 L
B 1.37 L
B 19.76 L
D 7.1 L
Answers
Answer:
C
Step-by-step explanation:
Write any
Five Places where ICT
tools can be used.
Answers
Answer:
A Computer, The Internet, A Printer, Scanners, and Mobile Devices
Step-by-step explanation:
At home, banks, schools, shops and hospitals
Complete the ratio table with the numbers:
A) 18, 6, 44, 10
B) 20, 5, 45, 10
C) 24, 5, 48, 4
D) 28, 6, 44, 9
Answers
Answer:
C
24, 5, 48, 4 because blue is 6 times green
Step-by-step explanation:
Hope this helps
PLEASE HELP, multiple choice! Will give brainliest!!
Answers
9514 1404 393
Answer:
(d) x = 3
Step-by-step explanation:
The "vertex form" of the equation of a parabola is ...
y = a(x -h)² +k
In this form, the vertex has coordinates (h, k).
Comparing the form to your equation, you see that h=3, k=4, so the vertex is (h, k) = (3, 4).
The line of symmetry is a vertical line through the vertex. It will have the same x-value as the x-coordinate of the vertex:
x = 3
_____
In short, the equation of the line of symmetry has its constant equal to the opposite of the value added to x. Here, the added constant is -3, so the line of symmetry is x=3.
The values h and k in the vertex-form equation represent the amount of translation right and up from the parent function graph. When the graph is translated 3 units to the right, the line of symmetry moves from x=0 to x=3.
4
Jared has a collection of 90 movies on DVD. If
46 of the movies are comedies, 26 are drama,
and the rest are science fiction, what percent of
the movies are science fiction?
A) 18
B) 20
C) 28
D) 32
Answers
46 + 26 = 72
90 - 72 = 18
18/90 x 100 = 20
PLEASE PLEASE HELP
What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?
을
-3
Answers
[tex] \begin{cases} (-1, 2) \\ (-4, 3) \end{cases}[/tex]
Calculate and find the slope by using rise over run formula with two given points.[tex]m = \frac{dy}{dx} = \frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the coordinate points in.
[tex]m = \frac{3 - 2}{ - 4 - ( - 1)} \\ m = \frac{1}{ - 4 + 1} \longrightarrow \frac{1}{ - 3} \\ m = - \frac{1}{3} [/tex]
Hence, the value of m is - 1/3.
Slope-intercept[tex]y = mx + b \\ \sf{where \: \: m \: \: = \: \: slope}[/tex]
Answer[tex] \large\boxed{m = - \frac{1}{3} }[/tex]
