Answers
Answer:
R = [tex]\left[\begin{array}{ccc}-3&-2\\1&-3\\\end{array}\right][/tex]
Step-by-step explanation:
P - Q + R = I ( I is the identity matrix )
[tex]\left[\begin{array}{ccc}2&4\\3&5\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}-2&2\\4&1\\\end{array}\right][/tex] + R = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex] ( subtract corresponding elements )
[tex]\left[\begin{array}{ccc}2-(-2)&4-2\\3-4&5-1\\\end{array}\right][/tex] + R = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}4&2\\-1&4\\\end{array}\right][/tex] + R = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]
R = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}4&2\\-1&4\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-3&-2\\1&-3\\\end{array}\right][/tex]
Related Questions
Rohann recently finished some renovations to his house. 20 square meters of carpeting cost $875 while 17 square meters of hardwood flooring cost $750. Which flooring is more expensive per square meter?
Answers
Answer: Hardwood flooring
Step-by-step explanation:
Given
Rohann renovation of Carpentering cost $875 for [tex]20\ m^2[/tex]
For hardwood flooring [tex]17\ m^2[/tex] cost $750
So, cost per square meter for different floors are
[tex]\Rightarrow \text{Carpentering}=\dfrac{875}{20}\\\\\Rightarrow \text{Carpentering}=\$43.75/m^2[/tex]
[tex]\Rightarrow \text{Hardwood}=\dfrac{750}{17}\\\\\Rightarrow \text{Hardwood}=\$44.11/m^2[/tex]
Thus, the cost of the Hardwood flooring is more expensive.
Help urgent In a class of 35 students 15 of them have cats 16 have dogs 3 hangs none how many probability does have both
Answers
Answer:
9/25
Step-by-step explanation:
Number of student who has cat , dog = 25 - 3 = 22
Number of students who has cat and dogs = (15 + 16) - 22
= 31 - 22 = 9
Number of students who has only cats = 15 - 9 = 6
Number of students who has only dogs = 16 - 9 = 7
P(Cat & dog) = 9/25
An isosceles triangle has been constructed so that its height is half its base. Find the dimensions of the
triangle if the area is 64 m².
Answers
Answer: 4 8×8= 64 half the base which is 8 =4
Step-by-step explanation:
Answer:
height = 8 m
base = 16 m
Step-by-step explanation:
Let base = 2x m
So, height = half its base = [tex]\frac{2x}{2} = x \ m[/tex]
Area = 64 m²
[tex]\frac{1}{2}* \ base* \ height = 64\\\\\\\frac{1}{2}* 2x * x = 64[/tex]
x * x = 64
x * x = 8 * 8
x = 8 m
Base = 2x = 2*8 = 16 m
The population of a town is 157,220 and is decreasing at a rate of 0.8% each year. Predict the population in 5 years (round to the nearest whole number).
Answers
Answer:
151,031
Step-by-step explanation:
If the population of a town is decreasing at 0.8% each year, the new population of the town will be [tex]100\%-0.8\%=99.2\%[/tex] of what it was last year. To find 99.2% of something, multiply it by 0.992. Therefore, we can write the following equation:
[tex]f(x)=157,220\cdot 0.992^x[/tex], where [tex]f(x)[/tex] is the population of the town [tex]x[/tex] years after the town had a population of 157,220.
Substitute [tex]x=5[/tex] into this equation to get the projected population after 5 years:
[tex]f(5)=157,220\cdot 0.992^5, \\f(5)=151031.019048,\\f(5)\approx \boxed{151,031}[/tex]
Therefore, in 5 years, the population should be 151,031.
Solve for - 1/2 x < -12. Show your work.
Answers
Answer:
x > 24
Step-by-step explanation:
- 1/2 x < -12
Multiply each side by -2, remembering to flip the inequality
-2 * -1/2x > -12 *-2
x > 24
Answer:
[tex]x > 24[/tex]
Step-by-step explanation:
[tex] - \frac{1}{2} x < - 12 \\ x < - 12 \times 2 \\ - x < - 24 \\ x > 24[/tex]
What Kind of Triangle is shown?
A. Isosceles Triangle
B. Acute Triangle
C. Scalene Triangle
D. Equilateral Triangle
Answers
Answer:
C
Step-by-step explanation:
C because it has sides unequal in length.
Answer: C
Step-by-step explanation:
Isosceles: 2 sides equal
Acute: angles are less than 90 degrees
Scalene: All side lengths are different
Equilateral: All sides are equal
if 3A =2b=5c, then find A:B:C
Answers
Answer:
10:15:6
Step-by-step explanation:
let 3A=2B=5C
then,A=1/3,B=1/2,=1/5
therefore:A:B:C=1/3,1/2,1/5
10:15:6/30=10:15:6
Review the data you collected for the angles in Question 2. Notice that ∠CFB is one of four angles formed by the two intersecting chords. What relationship do you observe that could help you determine the measure of any of the four angles created by two intersecting chords? Write the relationship as an equation.
Answers
Answer:
The measure of an angle created by two intersecting chords is half the sum of the measure of the intercepted arc and the measure of the arc vertically opposite to the angle. In this case, I can write m∠CFB = 1/2(m∠CAB + m∠EAD) because the measure of an intercepted arc is equal to the measure of its corresponding central angle.
Explanation:
sample answer from edmentum
Expand : (3x+5y)²
please answer
Answers
Answer:
FOIL: [tex]9x^2 +30xy + 25y^2[/tex]
(3x + 5y)(3x+5y)
F: 3x*3x
O: 3x*5y
I: 5y*3x
L: 5y*5y
[tex]9x^2 +30xy + 25y^2[/tex]
Step-by-step explanation:
Which of the following is a defined term?
Angle
Line
Point
Plane
Answers
Angle is a defined term.
What is defined term?
In geometry defined term, that have a formal definition and can be defined using other geometrical terms is called a defined term.
According to the given question
We have some terms
Angle, Line, Point and Plane
Now,
In geometry, we can define an angle using undefined term of a line. That is we define an angle as the corners that are created when two non-parallel lines intersect each other, so angle is a defined term.
In Geometry, we define a point as a location or size .
A line is defined as something that extends infinitely in either direction but has no width and is one dimensional.
While plane extends infinitely in two dimensions.
Hence, line, point and plane are undefined terms.
Learn more about defined and undefined terms here:
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Can someone help me with this math homework please!
Answers
===============================================================
Explanation:
Unfortunately your teacher is a bit vague here, but I'm assuming that the roots listed in the table are the only roots (and there aren't any other roots possible). If other roots were possible, then we'd have infinitely many possible answers and it would greatly muddy up the problem.
So we'll just stick to the basic assumption that the only roots are: -2, 0, and 2.
With that key assumption in mind, let's look at the answer choices to see which are true and which are false.
A) False. This is because we see that f(x) = -15 when x = -3. Note how x = -3 is in the interval [tex](-\infty, 3)[/tex]. In other words, this is a counter example showing that f(x) > 0 is not the case when x is between -infinity and 3.B) True. Over the interval [tex]0 \le x \le 2[/tex], we have f(x) either equal to 0 or a negative value. For the interval 0 < x < 2, we would have f(x) < 0.C) False. The table shows that f(0) = 0 which means we aren't making f(x) < 0 to be the case. D) True. The table shows that if -2 < x < 0, then f(x) is positive. An example of this is f(-1) = 3 which is positive. The f(x) values in this region are above the x axis. E) True. We have f(x) either equal to 0 or something larger when [tex]x \ge 2[/tex] which translates over to the interval notation [tex][2, \infty)[/tex]From that list above, we see that choices B, D and E are true.
A polynomial p has zeros when x = -2, x = 1/3, and x =3.
What could be the equation of p? Choose 1 answer:
a. p(x) = (x + 2)(x + 3)(3x + 1)
b. p(x) = (x + 2)(x + 3) (3x - 1)
C. p(x) = (x + 2)(x - 3)(3x - 1)
D. p(x) = (x - 2)(x + )(3x + 1)
Answers
Answer:
p(x) = ( x +2) (3x - 1) ( x-3)
Step-by-step explanation:
We know the equation for a polynomial with given zeros is
f(x) = a(x-b1) (x-b2)...... where b are the zeros and a is a constant
Since the zeros are x = -2, x = 1/3, and x =3.
p(x) = a( x - -2) (x - 1/3) ( x-3)
p(x) = a( x +2) (x - 1/3) ( x-3)
We can pick the value of a since we are not given a point on the function. Pick a=3
p(x) = 3( x +2) (x - 1/3) ( x-3)
Rewriting the second term
p(x) = ( x +2) (3x - 1) ( x-3)
Please help!! I am literally in tears!!
Without graphing, explain how you know the equation
y = - 1/2x^2 - 7 will be compressed
(compared to the parent function of y=x^2).
Answers
Answer:
" because the coefficient of the x^2 term is less than 1 (between -1 and + 1)
y = x^2 looks like a big U with the vertex (bottom) "kissing" the origin (0,0)
if you add 1 to the equation y = x^2 + 1 it shifts UP one
if you subtract 3 y = x^2 -3 it shifts down three ....
if you change it to look like this y = (x+4)^2 it shifts (slides) to the LEFT 4 units..
note that this slide is opposite to the sign + 4 left slide , - 4 right slide...
NOW YOUR QUESTION !!!! if the coefficient is > 1
y = 99 x^2 then the graph gets "skinny" goes up faster...
if it is less than one (between -1 past 0 to +1 ) then it flattens out
Bottom line here your coefficient is a "-1/2"
so YOUR GRAPH IS A ∩ (goes downward) and is FLATTER than the normal ∪
I hope that this helps
Step-by-step explanation:
Math question for grade 8
Answers
⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☄️ ⠀ ⠀⠀⠀⠀⠀⠀. . ﾟ . . ✦ , . ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☀️ * . . . ✦⠀ , * ⠀ ⠀ , ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀. ⠀ ⠀. ˚ ⠀ ⠀ , . . *⠀ ⠀ ⠀✦⠀ . . . ⠀ . ˚ ﾟ . .⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀, * ⠀. . ⠀✦ ˚ * .⠀ . ⠀⠀⠀. ⠀⠀⠀✦ ⠀ ⠀ ⠀⠀⠀⠀⠀* ⠀⠀⠀. . ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀✦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☄️ ⠀ ⠀⠀⠀⠀⠀⠀. . ﾟ . . ✦ , . ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☀️ * . . . ✦⠀ , * ⠀ ⠀ , ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀. ⠀ ⠀. ˚ ⠀ ⠀ , . . *⠀ ⠀ ⠀✦⠀ . . . ⠀ . ˚ ﾟ . .⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀, *
choose the equation that satisfies the data in the table
Answers
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
See this attachment
option D is correctplease help me for this
Answers
The factor of x?
Please help me solve this question!!
Answers
Answer:
Step-by-step explanation:
Katherine Johnson is organizing the sale of supplies for the space mission. On the first day you of sales Dorothy Vaughan purchased 3 blankets and 9 trays for a total of $75. Mary Jackson spent 67 on the second day by purchasing 8 blankets and 5 food trays. What is the price of one blanket ticket and one food tray?
Answers
solve the formula for a
(q&c in picture)
Answers
Answer:
C
Step-by-step explanation:
Subtract Vot from the given equation
s - Vo*t = 1/2 a t^2 Multiply by 2
2(s - Vo*t) = at^2 Divide by t^2
2(s - Vo*t) / t^2 = a
Looks like C is the answer.
SOMEONE HELP ME PLEASE
Answers
Answer:
I D K u tell me
Step-by-step explanation:
this is what u answersed another he/she question repeating u
Answer:
SHEEESSHHHHHHHHHH
Step-by-step explanation: life goes around and around
Find the volume of a pyramid with a square base, where the area of the base is 12.5 ft ^2 12.5 ft
2
and the height of the pyramid is 16 ft. Round your answer to the nearest tenth of a cubic foot.
Answers
Answer:
833.3 ft^3
Step-by-step explanation:
The formula for the volume of a pyramid is:
V = (lwh)/3
V = volume
l = length of base
w = width of base
h = height of pyramid
Now we just correspond the values with the variables:
l = 12.5
w = 12.5
h = 16
And plug these values into the formula:
((12.5)(12.5)(16))/3
((156.25)(16))/3
2500/3
833.3 ft^3
Hope this helps (●'◡'●)
The solution is : the volume of a pyramid with a square base is 833.3 ft^3.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
we know that,
The formula for the volume of a pyramid is:
V = (lwh)/3
V = volume
l = length of base
w = width of base
h = height of pyramid
Now we just correspond the values with the variables:
l = 12.5
w = 12.5
h = 16
And plug these values into the formula:
=((12.5)(12.5)(16))/3
=((156.25)(16))/3
=2500/3
=833.3 ft^3
Hence, The solution is : the volume of a pyramid with a square base is 833.3 ft^3.
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Find the measure of the indicated angle to the nearest degree.
12
22
Answers
Answer:
sadly, there is no indicated angle. you have to attach a photo/screenshot of your problem for anyone to help. There is limited information given from your question.
Step-by-step explanation:
What are angles a,b and c
Answers
Answer:
A=38°
B=84°
C=68will use the property of an isosceles triangle to find the answer
find the value of the unknown.
Answers
Answer:
86.5
[tex]14 + 8 + 12.5 = 34.5 \: \: 121 - 34.5 = 86.5[/tex]
How many 1/2 minutes are there in 3/2 minutes
Answers
Answer:
There are 3 Half minutes in 3/2 minutes
Step-by-step explanation:
We Start with two fractions
A : 1/2
B : 3/2
Since the denominator (The Second Number) is the same we don't need to change our fractions!
We can then just divide 3/2 by 1/2 to get our answer!
3/2 / 1/2 = 3
Write a two colomn proof given cd||ab prove EAB=ECD thanksssss
Answers
Answer:
See below.
Step-by-step explanation:
Statements Reasons
1. CD || AB 1. Given
2. <A is congr. to <ECD 2. Corresponding <s of || lines
3. <B is congr. to <EDC 3. Corresponding <s of || lines
4. Tr. EAB ~ Tr. ECD 4. AA Similarity
Answer:
Step-by-step explanation:
Statement Reason
AB // CD Given
∠BAE ≅ ∠DCE Corresponding angles are congruent
∠ABE ≅ ∠CDE Corresponding angles are congruent
ΔEAB ~ ΔECD A A Similarity
Basic Cable Company A charges $30 per month plus a setup fee of $75. Basic Cable Company B charges $40 per month, but due to a special promotion is not currently charging a setup fee. Write an equation for each cable company modeling the total cost y for a subscription lasting x months. When is it more economical for a person to choose Basic Cable Company B over Basic Cable Company A
Answers
Answer:
Basic Cable Company A= 30x + 75
Basic Cable Company B= 40x
After 7.5 months, it's more economical to go with Company A. Before 7.5 months, Company B is cheaper
Step-by-step explanation:
Usando a propriedade distribuitiva, calcule as multiplicação
a) (4c-a)×(4c+a)
b) (4x-3)×(6x+1)
c) (x-y)×(x^2+5y)
Answers
Answer:
[tex]a) \left(4c-a\right)\times\left(4c+a\right)[/tex]
[tex]=\left(4c\right)^2-a^2[/tex]
[tex]=16c^2-a^2[/tex]
-------------------
[tex]b) (4x-3)\times(6x+1)[/tex]
[tex]=4x\times \:6x+4x\times \:1+\left(-3\right)\times \:6x+\left(-3\right)\times \:1[/tex]
[tex]=4\times \:6xx+4\times \:1\times \:x-3\times \:6x-3\times \:1[/tex]
[tex]=24x^2-14x-3[/tex]
-------------------
[tex]c)(x-y)\times(x^2+5y)[/tex]
[tex]xx^2+x\times \:5y+\left(-y\right)x^2+\left(-y\right)\times \:5y[/tex]
[tex]=x^2x+5xy-x^2y-5yy[/tex]
[tex]=x^3+5xy-x^2y-5y^2[/tex]
OAmalOHopeO
Which expression is equivalent to _/8/x^6? Assume x > 0?
Answers
Answer:
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We have the following expression:
sqrt 8 / x ^ 6
Rewriting we have:
sqrt (8 / x ^ 6)
sqrt (2 * 4 / ((x ^ 2) * (x ^ 2) * (x ^ 2)))
(2 / (x * x * x)) sqrt (2)
(2 / x ^ 3) * sqrt (2)
Answer:
An equivalent expression is given by:
(2 / x ^ 3) * sqrt (2)
I don’t know this one, Please help ASAP
Answers
Answer: 52
Step-by-step explanation:
You can see that it is a right angle and 90-38=52. Then because they are vertical angles they equal each other meaning that IGJ is 52 degrees
