Answers
[tex](i)\\\\2A = \begin{pmatrix}3x \times 2 & 1 \times 2 & 5 \times 2\\0\times 2 & 2x \times 2 & -3 \times 2\end{pmatrix} = \begin{pmatrix}6x & 2 & 10\\0 & 4x & -6\end{pmatrix}\\\\\\(ii)\\\\2A + B = C\\\\\implies \begin{pmatrix}6x & 2 & 10\\0 & 4x & -6\end{pmatrix} + \begin{pmatrix}y & 0 & -4\\1 & -3y & 2\end{pmatrix} = \begin{pmatrix}31& 2 & 6\\1 & 17& -4\end{pmatrix}[/tex]
[tex]\implies \begin{pmatrix}6x+y & 2+0 & 10-4\\0+1 & 4x-3y & -6+2\end{pmatrix} = \begin{pmatrix}31 & 2 & 6\\1 & 17& -4 \end{pmatrix}\\\\\\\implies \begin{pmatrix}6x+y & 2 & 6\\1 & 4x-3y & -4\end{pmatrix} = \begin{pmatrix}31 & 2 & 6\\1 & 17& -4 \end{pmatrix}\\\\\text{System of equations},\\\\6x +y =31,~~ 4x -3y = 17\\\\\\(iii)\\\\6x +y-31 =0 \\\\4x-3y -17=0\\\\\text{Solving by cross multiplication method}\\\\\\\dfrac x{1(-17) - (-31)(-3)} = \dfrac y{4(-31) - 6(-17)} = \dfrac 1{6(-3) - 4(1)}[/tex]
[tex]\implies \dfrac{x}{-17 -93} = \dfrac{y}{-124 +102} = \dfrac 1{-18-4}\\\\\\\implies -\dfrac{x}{110} = -\dfrac{y}{22} = -\dfrac 1{22}\\\\ \implies \dfrac{x}{110} = \dfrac{y}{22} = \dfrac 1{22}\\\ \\\text{Hence,}\\\\\\x=\dfrac{110}{22}=5,~~~~ y= \dfrac{22}{22} =1[/tex]
Answer:
(i)
[tex]2A=\left[\begin{array}{ccc}6x&2&10\\0&4x&-6\end{array}\right][/tex]
(ii) 6x+y=31; 4x-3y=17
(iii) (x, y) = (5, 1)
Step-by-step explanation:
(i)The matrix 2A is written by multiplying each element of A by 2.
[tex]2A=\left[\begin{array}{ccc}6x&2&10\\0&4x&-6\end{array}\right][/tex]
__
(ii)Variables are seen in elements (1, 1) and (2, 2) of the matrices A and B, so the simultaneous equations can be chosen from those elements of the equation 2A+B=C.
6x+y=314x-3y=17__
(iii)A graphing calculator shows the solution to be (x, y) = (5, 1).
Related Questions
4 apples, 2 bananas, and 5 pearsWhat is the ratio of pears to all fruit?
Answers
Answer:
[tex]\frac{5}{11}[/tex]
Step-by-step explanation:
five pears out of eleven fruit total
hope this helps!
Answer:
5 : 11
Step-by-step explanation:
total fruit = 4 + 2 + 5 = 11
Then the ratio of
pears : all fruit
= 5 : 11
whadt is the first and second quotient of 1178 divided by 31
Answers
Answer:
its 38
Step-by-step explanation:
use a calculator like i did :)
Help!!! Ill give 100 points!
Answers
Answer:
7/20
Step-by-step explanation:
Answer: if you calculate math yo7 would get 7/20
Step-by-step explanation:
Which of the following is most likely the next step in the series?
Answers
find the missing value y=-2+4
Answers
Answer:
y = 2
Step-by-step explanation:
4b + 8 / -2 = 10
what is the answer
Answers
Answer:
7/2
Step-by-step explanation:
4b+8/-2=10
4b-4=10
4b=10+4
4b=14
b=14/4
simplify
b=7/2
Explain how 3/4 ×7, 7×3/4 and 3×7/4 are all related
Answers
Answer:
3/4×7
= 0.75×7
=5.25
7×3/4
=7×0.75
=5.25
3×7/4
=3×1.75
=5.25
all answer is same so, however we do all answer come 5.25
this way they all are related
An athlete trains by swimming 3/5 miles in 1 day.
Which expression shows how many miles he would swim in 7 days?
Answers
Answer:
3/5 x 7
Step-by-step explanation:
The athlete swims 3/5 miles per day, and in 7 days, he swims the amount of 3/5 per the swimming session he does, so it will be 3/5x7.
Three numbers have an average of 15. If two of the numbers are 10 and 12, then what is the other number?
Answer with supporting work:
Answers
Answer:
Step-by-step explanation:
(12+10+x)/3=15
15*3=12+10+x
45-12-20=x
X=23
There are 900 seats on a train. 540 of the seats are empty. What percentage of the seats on the train are empty?
Answers
60% of the seats on the train are empty
you have to divide 900 by 9 to get 100 because percents are out of 100, then you have to divide 540 by 9 also.
Answer:
60%
Step-by-step explanation:
Because there are 540 empty, and 900 total, you need to divide 540 by 900.
540/900=54/90=6/10=60/100
When you get 60/100, or 0.6, you know that it is 60 percent because percent is out of 100.
Mrs. Palmer's famous peanut butter cookies call for 1 cup of peanut butter for every
1
2
of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
Answers
Answer:
2 cups
Step-by-step explanation:
if she uses 1/2 cup of oil per 1 cup of peanut butter
then she should use the ratio PB(peanut butter)= 2O(oil)
so if oil is 1 then PB must be 2 cups
The rectangle and the trapezoid have the same area. What is the length l of the rectangle?
Please show work
Answers
Answer:
length = 18 ft
Step-by-step explanation:
A(rect) = 9l
A(trap) = 1/2(9)(24+12) → 4.5(36) → 162
9l = 162
l = 162/9
l = 18
=====================================================
How to get the answer:
We first need to compute the area of the trapezoid
area of trapezoid = height*(base1+base2)/2
A = h*(b1+b2)/2
A = 9*(12+24)/2
A = 9*(36/2)
A = 9*18
A = 162
The trapezoid has an area of 162 square feet.
---------
The rectangle also has an area of 162 sq ft.
area of rectangle = length*width
A = L*W
A/W = L
L = A/W
L = 162/9
L = 18
The length of the rectangle is 18 feet.
---------
Side note: both rectangle and trapezoid have the same height (9 feet). Notice how the average of the 12 ft and 24 ft sides leads to 18 ft, which is exactly the value of L. It's not a coincidence these two facts line up.
In mrs kuliks class there are 20 female students and 8 male students what is the percent of male students
Answers
Answer:
About 29%
Step-by-step explanation:
How to expand Expand 7n-3+1-2n
Answers
Answer:
5n-2
Step-by-step explanation:
collect like terms
-> (7n-2n)+(-3+1)
simplify
=> 5n-2
What is 0.8782894737 nearest TENTH of a percent?
Answers
Answer: 0.9
Step-by-step explanation:
Mark me branliest please
Solve for x when 4x+16/12=x-4
Answers
Answer:
In short, Your Answer would be either 1 or 7
Step-by-step explanation:
|4x + 12| = 16
As it is in modulus function, it could be either +ve or -ve
4x+12 = 16 OR 4x - 12 = 16
4x = 16-12 OR 4x = 16 + 12
4x = 4 OR 4x = 28
x = 4/4 OR x = 28/4
Use the Associative Property to write and expression equivalent to (w+9)+3.
Please use your explanation.
Answers
The equivalent expression for the given expression (w+9)+3 using associative property is w + 12
Solution:
Given that, expression is ( w + 9 ) + 3
We have to find how do we can use the associative property to write an expression equivalent to ( w + 9 ) + 3
The associative property states that you can add or multiply regardless of how the numbers are grouped
By above definition, we get
(a + b) + c = a + (b + c)
So, now let us apply the above property to the given expression,
Then, ( w + 9 ) + 3 = w + ( 9 + 3 ) = w + 12
Hence, the equivalent expression for the given expression is w + 12
Associative property:-
[tex]\boxed{\sf (a+b)+c=a+(b+c)}[/tex]
Now
[tex]\\ \sf\longmapsto (w+9)+3[/tex]
[tex]\\ \sf\longmapsto 3+(w+9)[/tex]
g(x) = Five-sevenths (three-fifths) Superscript negative x
g(x) = Five-sevenths (three-fifths) Superscript negative x
g(x) = Five-sevenths (three-fifths) Superscript x
g(x) = Negative (negative five-sevenths) (five-thirds) Superscript x
Answers
Answer:
b) g(x) = Five-sevenths (three-fifths) Superscript negative x
Step-by-step explanation:
both ranges are y<0, you can clearly see this if you plug all of the equations into a graphing calculator
A domain of a function has to do with the set of all possible inputs in a function and contains real numbers.
What is a Function?This refers to the relation or expression that has to do with a number of variables for example, "bx + c" is a function.
Hence, we can see that your question is incomplete so I gave you a general overview to help you get a better understanding of functions and domains.
Read more about functions and domains here:
https://brainly.com/question/1770447
#SPJ9
567898765456787654567876567876+9999999999999999999999999999999
Answers
Answer:
1.05678988E31
Step-by-step explanation:
You are baking a casserole. The recipe calls for of a cup of beans to make 5 servings. How many cups of beans would you need to make 25 servings? Enter your answer.
Answers
Answer:
5 cups
Step-by-step explanation:
If a = - 4 and b = 5x + 2i , then find the value of a ^ 3 b in fully simplified form.
Answers
Answer:
-320x -128i
Step-by-step explanation:
Put the values where the variables are and do the arithmetic.
a³b = (-4)³(5x +2i) = -64(5x +2i) = -320x -128i
what does the quantity 28-8 represent?
Answers
28-8=20
If the Plane moves at 253km southwest and the wind blows from 60' south east.
Calculate the Age of the Pilot.
Answers
What is the equivalent expression for 4(x + 5)
Answers
-5(c-4)=
a*-20-5c
b*20-5c
c*20+5c
???????
Answers
Answer:
b
Step-by-step explanation:
distributive property-
-5c-(-20) which is -5c+20 which can also be 20-5c
Distribute
−
5
(
−
4
)
−
5
(
c
−
4
)
−
5
+
2
0
−
5
c
+
20
Solution
−
5
+
2
0
−
5
c
+
20
Find the slope of the line that passes through 9,7 and 6,15
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
Let's find the slope considering the points (9 , 7) and (6 , 15)
[tex] \sf \dfrac{y2 - y1}{x2 - x1} [/tex][tex] \sf \dfrac{15 - 7}{6 - 9} [/tex][tex] \sf \dfrac{8}{ - 3} [/tex][tex] - \dfrac{8}{3} [/tex]Heather earns $16
$
16
for each hour she works as a lifeguard.
Choose the equation that models the situation, where ℎ
h
represents the number of hours she works and
m
represents the money she earns.
Answers
Answer:
$128 a day
Step-by-step explanation:
if she works 8 hours a day/ aka full time then its different from what she earns half time/4 hours, most likely she's working fulltime so ure answer would be $128 a day
(I would be happy if u marked me brainiest) thank you
: Andre poured 27 ounces of rice into 6 containers. If all containers have the same amount of rice, how many ounces are in each container?
Answers
Answer:
There are 4.5 ounces (4 and a half, 4 1/2) in each container.
I only need help on Question D
Answers
What math do high schoolers learn? Do they only learn trigonometry, geometry and equations?
Answers
Answer:
trigonometry
Step-by-step explanation:
hopes this helps
Answer:
This depends on the level they are at. For example, I am a 7th grader in Algebra 1 Honors, but most students take Algebra 1 in high school. Classes range from Algebra 1 - Calculus in High school.
Step-by-step explanation:
