Answers
Related Questions
ez pts
Write in radical form, then simplify the resulting radical and rationalize the denominator if need be:
312
Answers
Answer:
well first 312 in radical form is √312 and that simplified is 2√78 or 17.66352173
Step-by-step explanation:
solve the matrix and prove that it is equal 0
Answers
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
[tex] \tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}[/tex][tex] \underline{ \underline { \text{To \: Find}}} : [/tex]
[tex] \sf{ {A}^{2} - 5A+ 22I= 0}[/tex][tex] \underline{ \underline{ \text{Solution}}} : [/tex]
The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by [tex] \sf{ {A}^{T}} [/tex]. Again , Interchange it's rows and columns in order to find ' A '.
[tex] \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}[/tex]
Now , LEFT HAND SIDE ( L.H.S )
[tex] \tt{ {A}^{2} - 5A+ 22I}[/tex]
Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.
⟼ [tex]\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex] \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}[/tex]
⟼ [tex] \sf{0}[/tex]
RIGHT HAND SIDE ( R.H.S ) : 0
L.H.S = R.H.S [ Hence , proved ! ]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Answer:
Step-by-step explanation:
\underline{ \underline{ \text{Given}}} :
\begin{gathered} \tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}\end{gathered}
\underline{ \underline { \text{To \: Find}}} :
\underline{ \underline{ \text{Solution}}} :
The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by \sf{ {A}^{T}}
. Again , Interchange it's rows and columns in order to find ' A '.
\begin{gathered} \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}\end{gathered}
Now , LEFT HAND SIDE ( L.H.S )
\tt{ {A}^{2} - 5A+ 22I}
Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.
⟼ \begin{gathered}\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered} \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}\end{gathered}
⟼ \sf{0}0
RIGHT HAND SIDE ( R.H.S ) : 0
Find the x- and y-intercepts of the graph of the linear equation −x+8y=4.
Answers
y intercept: (0,1/2)
x-intercept is when y = 0
-x+8(0)=4
-x+0=4
x=-4
y-intercept is when x = 0
-(0)+8y=4
8y=4
y=4/8=1/2
The sales tax on a $25,000 car is $1375. What is the sales tax rate?
PLEASE SHOW HOW YOU SLOVED IT!!! THX <3
Answers
Answer:
$11 sales tax per $200
Step-by-step explanation:
1375/25,000 = 11/200
Answer:
5.5%
Step-by-step explanation:
1375/25000= 5.5%
25000 * 5.5% = $1375.00
pls help im new so pls can u help me
Factorise
x^2+18x+80
Answers
Answer:
(x + 10)(x + 8)
Step-by-step explanation:
Given
x² + 18x + 80
Consider the factors of the constant term (+ 80) which sum to give the coefficient of the x- term (+ 18)
The factors are + 10 and + 8 , since
10 × 8 = + 80 and 10 + 8 = + 18 , then
x² + 18x + 80 = (x + 10)(x + 8) ← in factored form
Can someone cashapp me 12 dollars and I pay them back? It’s an emergency
Answers
Answer:
Wait why
Step-by-step explanation:
I don't understand can you ask your parents or friends. I don't give strangers money.
Find the value for M.
Answers
Answer:
it is 10
Step-by-step explanation:
Answer:
g
Step-by-step explanation:
g
Select all ordered pairs that correspond to input-output pairs of the function y = -9x + 3.
(8, 2)
(-33, 4)
O (5, -1)
(6, -51)
Answers
f(8) = -9(8) + 3 = -69 ❌
f(-33) = -9(-33) + 3 = -294 ❌
f(5) = -9(5) + 3 = -42 ❌
f (6) = -9(6) + 3 = -51 ✅
so, the pair is (6, -51)
write a word sentence for the equation x-0.3=1.7
Answers
Answer:
the quotient x minus 0.3 is equal to 1.7
Step-by-step explanation:
Answer:
"x subtracted by zero-point-three is equal too one-point-seven."
Step-by-step explanation:
"x subtracted by zero-point-three is equal too one-point-seven."
Explanation:
"x subtracted by...": x -
"...zero-point-three...": 0.3
"...is equal too..": =
"one-point-seven": 1.7
~
What question do you ask a basketball player from Indiana?
Answers
9514 1404 393
Answer:
WHOOSIER COACH
Step-by-step explanation:
Linear pairs are supplementary. Vertical angles are congruent. An angle is the sum of its parts.
(a) C: supplementary to 138°, 180° -138° = 42°
(b) O: congruent to 138°
(c) R: supplementary to 32°, 180°-32° = 148°
(d) H: congruent to 32°
(e) S: complementary to 28°, 90° -28° = 62°
(f) O: supplementary to 122°, 180° -122° = 58°
(g) W: congruent to 122°
(h) C: supplementary to 28°, 180° -28° = 152°
(i) I: supplementary to 60°, 180° -60° = 120°
(∠TSW) E: supplementary to a right angle: 180° -90° = 90°
(∠TSU) O: half the complement of 20°, (90° -20°)/2 = 35°
(∠USW) H: complement of ∠TSU, 90° -35° = 55°
(∠RSV) A: supplement of ∠VSW = 180° -35° = 145°
__
The desired order of the letters corresponds to the sequence of angles ...
122°, 55°, 58°, 35°, 62°, 120°, 90°, 148°, 71°, 152°, 138°, 145°, 42°, 32°
WHOOSIER_COACH
4x + 9y = 24
X + y = 10
Help ASAP
Answers
Answer:
14
Step-by-step explanation:
Answer:
(x, y) = (-16/5, 13[tex]\frac{1}{5}[/tex])
Step-by-step explanation:
4x + 9y = 24
x + y = 10 $\Rightarrow$ x = 10 - y
Substituting the value of x (second equation) into the first equation, we get:
4 * (10 - y) + 9y = 24
40 - 4y + 9y = 24
5y = -16
y = -16/5.
So, x = 10 - (-16/5) = 10 + 3[tex]\frac{1}{5}[/tex] = 13[tex]\frac{1}{5}[/tex]
The population of a city can be modeled by the expression p(1.06)^t where t represents the number of years since 1990 and p represents the population in 1990. which statement is correct?
A. the year growth rate of the population is 0.06%
B. the yearly growth rate of the population is 0.6%
C. the yearly growth rate of the population is 1.06%
D. the yearly growth rate of the population is 6%
please respond if you actually know the answer :)
Answers
Answer:
D
Step-by-step explanation:
.06 =6%
The expression p(1.06)^t represents D. the yearly growth rate of the population is 6%
What is the population growth rate?The country's yearly average rate of change in population size over a certain time period. It expresses the proportion, growth in population size, and the total population for that year.
Given, The population of a city can be modeled by the expression
[tex]p(1.06)^t[/tex] where t represents the number of years.
This describes the yearly growth rate of the population is 6%.
If in the previous year the population was 100 this year it'll be 106 and next year it'll be 106% of 106 which is 112.36.
learn more about population growth here :
https://brainly.com/question/18415071
#SPJ2
David has counters. Lisa has 5 more counters than David. Samia has 4 times as many counters as David. The total number of counters is . Write a formula for in terms of . Give your answer in its simplest form.
Answers
Answer:
if 'c' equals number of counters, the answer is 6c + 5
Step-by-step explanation:
david has 'c'
lisa has '5+c'
samia has '4c'
add all terms together: c + 5 + c + 4c = 6c + 5
The formula for the total number of counters in terms of x is T = 6x + 5
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
Let's start by expressing the number of counters Lisa has in terms of x. We know that Lisa has 5 more counters than David, so:
Lisa = David + 5
Lisa = x + 5
Next, we need to express the number of counters Samia has in terms of x. We know that Samia has 4 times as many counters as David, so:
Samia = 4 × David
Samia = 4x
Finally, we can express the total number of counters in terms of x by adding up the number of counters each person has:
T = David + Lisa + Samia
T = x + (x + 5) + 4x
T = 6x + 5
Therefore, the formula for the total number of counters in terms of x is T = 6x + 5.
Learn more about the algebraic expression here :
brainly.com/question/21751419
#SPJ2
The complete question is as follows:
David has x counters. Lisa has 5 more counters than David.
Samia has 4 times as many counters as David.
The total number of counters is T.
Write a formula for Tin terms of x. Give your answer in its simplest form.
6. Allison wants to start saving for college. She got $250 in birthday money
and plans to save $50 a week from babysitting. Which equation could be
used to determine how many weeks it will take for her to save $1000? *
Answers
-6p-3=9 what does p equal
Answers
Answer:
-2
Explanation:
-6 x -2 = 12
12 - 3 = 9
Answer:
p=-2
Step-by-step explanation:
Move the -3 to the other side by adding 3 on both sides:
-6p-3+3=9+3
The equation now looks like this:
-6p=12
Divide -6 on both sides:
-6p/-6=12/-6
The equation now looks like this:
p=-2 which is the answer
Hope this helps!
The slope below the line is -1/7. Write a point-slope equation of the line using the coordinates on the labeled point.
Answers
Answer: y – 3 = –1/7(x – 3)
Pls help I need an answer to this question
Answers
Answer:
7/12
Step-by-step explanation:
I gave all of the fractions a common denominator:
1/6= 2/12
5/12= 5/12
1/4= 3/12
1/6= 2/12
Then, I added the 2/12 (from 0-1 hours) and 5/12 (from 1 1/2-2 hours). THis will give the complete range of 0-2 hours.
Hope this helps!
Which represents the solution set of 5(x+5) <35?
X<12
X>12
X<16
X>16
Answers
Answer:
I got x<2 but that's not an option
Step-by-step explanation:
5(x+5) <35
5x+25<35
5x<10
x<2
Round 150,893 to the nearest thousand.
Answers
Answer:
151,000
Step-by-step explanation:
if g(x)=3x^2+2x-1, find g(0)
Answers
A parabola has x-intercepts of (2, 0) and (-4, 0) and has a leading coefficient of 1. What is the equation of the parabola in standard form? *
Answers
9514 1404 393
Answer:
y = x^2 +2x -8
Step-by-step explanation:
For x-intercepts p and q, factors of the parabola's equation are (x-p) and (x-q). Since the leading coefficient is 1, those are the only factors.
y = (x -2)(x -(-4))
y = (x -2)(x +4) = x(x +4) -2(x +4) . . . . use the distributive property
y = x^2 +4x -2x -8 . . . . use the distributive property again
y = x^2 +2x -8 . . . . . . . .equation in standard form
A ratio of 2 to 10 means
Answers
Answer:
1:5
Step-by-step explanation:
If you simplify ( I think that's what you mean by "means")
10 is divisible by 2
2=1
10=5
1:5
Select the correct answer from the drop-down menu.
Answers
Answer:
The first one is y=1/2
The second one is -17/27
The third one is y=0
The last one is -3/11
Step-by-step explanation:
Not really sure what this was asking. Hope I helped.
A line with a slope of -4 passes through the point (0, 0). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer: y = -4x
Step-by-step explanation: You would use the formula y = mx + b to solve your problem. When you plug the numbers in, you get y = -4x. There would be no "+ b" because in this case, the y-intercept (b) is equal to zero. Therefore, you would not need to write "y = -4x + 0" because that would not be the equation in its simplest form.
Charlie makes 9 dollars for each week of work. Write an equation to represent his total pay p after working h hours
Answers
Answer:
p = 9h
Step-by-step explanation:
:-)
Use the graph to write a linear function that relates y to x.
y=
Answers
Answer:
y= -3x+1
Step-by-step explanation:
y=mx+b
find m: (y2-y1)/(x2-x1)
pick any two points: (-1,4) and (0,1)
plug them in: (4-1)/(-1-0)= -3=m
b is the y intercept which is 1=b
plug these into the equation for a line y=mx+b
y=-3x+1
Two customers went to an auto body shop. The first customer paid $561 for and oil change and four new tires. The second customer paid $303 for an oil change and two new tires. What is the cost of an oil change?
Answers
78
Step-by-step explanation:
Which table has a constant of proportionality between y and 2 of 0.3?
Choose 1 answer:
y
6
2
12
4
30 10
2
y
3 1.8
7 4.2
9 5.4
y
1.2
4
8
2.4
13 3.9
Answers
Answer:
The question is unclear. Please provide the table.
What ordered pairs satisfy the function y=2/3+1
Answers
Answer:
2345678io90
Step-by-step explanation:
5x+20=55 what does x equal?
Answers
Answer:
5x+20=55
5x=55-20
x=30/5=7
Answer:
x = 7
Step-by-step explanation:
5x + 20 = 55
- 20 - 20
5x (÷5) = 35 (÷5)
x = 7