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
Find the area of the shape shown below.
Answers
Answer:
28
Step-by-step explanation:
56 x 4 + 5 - 53=x
(x) x 23 + 500
Answers
Step-by-step explanation:
56× 4=224
224+5= 229
229-53=176
176×23=4048
4048+500=4548
The answer is = 4548
56*4+5-53-(x*(x)*x^23+500)=0
Step by step solution :
STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
-x25 - 324 = -1 • (x25 + 324)
Equation at the end of step
2
:
-x25 - 324 = 0
STEP
3
:
Solving a Single Variable Equation:
3.1 Solve : -x25-324 = 0
Add 324 to both sides of the equation :
-x25 = 324
Multiply both sides of the equation by (-1) : x25 = -324
x = 25th root of (-324)
Negative numbers have real 25th roots.
25th root of (-324) = 25√ -1• 324 = 25√ -1 • 25√ 324 =(-1)•25√ 324
The equation has one real solution, a negative number This solution is x = negative 25th root of 324 = -1.2601
One solution was found :
x = negative 25th root of 324 = -1.2601
2 decreased by the sum of m and 8
Answers
Answer:
(m+8) - 2
Step-by-step explanation:
If Y varies directly with x , and y=15 when x=3 write the direct linear variation equation
Answers
The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation h = 0. 75 cosine (StartFraction pi Over 30 EndFraction (t minus 15)) 8. Which number (from 1 to 12) is the minute hand pointing to at t = 0? 3 6 9 12.
Answers
Answer:
9
Step-by-step explanation:
Answer:
Step-by-step explanation:
100 inches = 254 centimeters
Use the conversion above to answer the following questions,
A pencil measures 10 inches, How many centimeters is the pencil?
The pencil measures
centimeters
Answers
Answer:
A pencil is about 19 centimeters long
Answer:
if 100 inches=254 centimeters
then 10 inches=x
100x=2540
x=2540/100
x=25.4 centimeters
30% of the parks have a pool. If there are 9 parks with pools, how many parks are there altogether?
Answers
Answer:
30 parks
Step-by-step explanation:
9÷0.3=30 parks
29. ERROR ANALYSIS Describe and correct the error in
rewriting the expression in rational exponent form.
Answers
Answer:
eeeeeeeeeeeeeeeeeeeeeeeeeee nose perdon xd
expand 7(2x+7). need help quickly if possible
Answers
Hello there! :)
To expand this expression, we have to use the Distributive Property, which states:
a(b+c)=ab+ac
7(2x+7)=14x+49
Hence, 14x+49 is the expression (Answer)
Hope it helps you!
~A lonely teen who helps others and listens to her favourite song "How Far I'll Go
-Grace ;-)
Good luck.
7 (2x + 7)
= (7 × 2x) + (7 × 7)
= 14x + 49
_____
Hope it helps ⚜
help plzz
2decimal places
165 x 0.38²
Answers
Answer:
23.83
Step-by-step explanation:
An administrative assistant works from home and originally charged her clients $8.75 per hour for any clerical work plus a set fee of $15, or C(h) = 8.75h + 15. She decided to double her hourly fee but keeps her set fee the same. Which of the following functions represents the new fees, N(h)?
Answers
Answer:
N(h) = 17.5h + 15
Step-by-step explanation:
N(h) = 8.75h + 15 | write original equation
N(h) = 8.75(2) + 15 | multiply the original hourly fee by 2
N(h) = 17.5 + 15 | solve
Stay healthy and happy <3.
Hope this helped.
The required function represents the new fees is given as N(h) = 17.5h + 15.
Given that,
An administrative assistant works from home and originally charged her clients $8.75 per hour for any clerical work plus a set fee of $15, or C(h) = 8.75h + 15. She decided to double her hourly fee but keeps her set fee the same.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given function,
C(h) = 8.75h + 15.
Now,
According to the question,
N(h) = 2× 8.75h + 15.
N(h) = 17.5h + 15.
Thus, the required function represents the new fees is given as N(h) = 17.5h + 15.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
What is the Answer to this
Answers
========================================================
Explanation:
For now, let's focus on triangle AFG.
This is a right triangle with the following sides:
FA = unknown horizontal leg = xFG = vertical leg = 6.1AG = hypotenuse = 11.2We'll use the pythagorean theorem to solve for x.
a^2 + b^2 = c^2
(FA)^2 + (FG)^2 = (AG)^2
x^2 + (6.1)^2 = (11.2)^2
x^2 + 37.21 = 125.44
x^2 = 125.44 - 37.21
x^2 = 88.23
x = sqrt(88.23)
x = 9.39308 approximately
Side FA is roughly 9.39308 units long.
-----------
Let's say for a moment we don't know where point G is located, but we do know where points A, C, and E are located. We can determine G's location by determining the perpendicular bisectors for segments AE and EC, and then intersecting said perpendicular bisectors.
Put another way:
FG is a perpendicular bisector for AEDG is a perpendicular bisector for ECBecause of the first bullet point, we know that AE is split into two equal pieces FA and FE, ie FA = FE.
We just found that FA = 9.39308 back in the last section, which means this is the length of FE as well.
Therefore,
AE = FA + FE
AE = 9.39308 + 9.39308
AE = 18.78616
AE = 18.8 when rounding to the nearest tenth, aka one decimal place.
Answer:
18.79
Step-by-step explanation:
→ Use Pythagoras theorem
√11.2² - 6.1²
→ Simplify
9.39
→ Now double the answer
18.79
HELP ASAP Jessica is going to build some large wooden storage boxes, The boxes are shaped like rectangular prisms, as shown below. She wants to cover all the sides of each box with a special wallpaper. If she has a total of 1120 ft^2 of wallpaper, how many boxes can she cover?
Answers
Answer:
It should be 17.5 boxes I am not too sure If it is wrong please forgive me
Step-by-step explanation:
Answer: 7 boxes
Step-by-step explanation:
If total employee benefits are calculated as a percentage of their gross pay whitch of the following employees receive the largest percentage of their gross pay in employee benefits
Answers
The employee that receives the largest percentage of their gross pay in employee benefits is Marcel.
The percentage of employee benefits to total gross pay for each worker has to be determined.
Percentage = (total job benefits / gross pay) x 100
Emily: (33,600 / 32,600) x 100 = 103.07%
Jack: (34,700 / 33,700) x 100 = 102.97%
Judy: (33,900 / 33,400) x 100 = 101.5%
Marcel: (34,000 / 32,900) x 100 = 103.43%
A similar question was answered here: https://brainly.com/question/25764815
Please find attached a complete question
What is the point in the line
y-5=2(x+6)
Answers
y - y1 = m(x- x1)
when the equation says -, the number is positive. when the equation says +, the number is negative
in this case the point is (-6,5)
WILL GIVE BRAINLIEST! what are the values of a and b so the system of equations has infinitely many solutions?
y=6x+b
y=ax+3/4
Answers
Answer:
a = 6
b = 3/4
Step-by-step explanation:
They both need to have the same slope.
The slope in the first equation is 6
That means that the second equation must have a = 6
They both need to have the same y intercept
The second equation has a y intercept of 3/4
Therefore b in the first equation, must be 3/4
math
rate of change and show me how u did it:( <3
Answers
Answer:
y = m x + b equation for a straight line
if x = o then y = 4 from graph
y = 0 + 4 and b = 4
If x = 8 then y = 24 from graph
24 = m * 8 + 4 substituting in our equation
m = 20 / 8 = 2.5 giving slope or rate of change
y = 2.5 x + 4 the final equation with a slope of 2.5
As a check using the graph:
We see that if y = 24 then x = 8
24 = m * 8 + 4 substituting in our equation
m = 20/8 = 2.5 agreeing with the value found
A microscope shows an image of an object that is 40 times the object's actual size. So, the
scale factor of the enlargement is 40. An insect has a body length of 4 millimeters. What is the
body length of the insect under the microscope?
160 centimeters
16 millimeters
1,600 millimeters
160 millimeters
Answers
Answer:
I don't know I wanna say the 3rd one
Step-by-step explanation:
Lisa has a certain amount of money. She spent $39 and has 3/4 of the original amount left. How much money did she have originally
Answers
18 of the 23 tables at Paul's Italian Restaurant are full. What is the ratio of the number of full tables to the number of empty tables?
Write your answer as two numbers separated by a colon (for example, 2:3).
Answers
Answer: 18:23
Step-by-step explanation:
What is the value of |-7| - |3|
Answers
Answer:
4 is the correct answer
Step-by-step explanation:
|-7| = 7
|3| = 3
7 - 3 = 4
I need help and I can’t find any sadly. Help!!
Answers
Answer:
1. Given
2. Distributive Prop
3. Addition Prop
4. Division Prop
Step-by-step explanation:
4. Kayla graphed a scatter plot of the number of hours she drove her car
(x) and the distance traveled (y). She drew the trend line and calculated its
equation to be y = 50x + 2. What is the predicted distance Kayla would
drive if she drove for 3.5 hours?
Answers
The x and y axis are negative what's the quadrant or axis
Answers
Answer:
Need more information
If you want put a graph or explain more your question
solve the following methods
Answers
don't know when you find out tell me
Jake drew a scale drawing of a house. He used the scale 10 inches = 6 feet. What is the scale factor of the drawing?
Simplify your answer and write it as a fraction.
Answers
Answer:
5:36
Step-by-step explanation:
12 inches = 1 foot, so 6 feet = 72 inches
10:72, reduces to 5:36
How many solutions does -2(t-4)=10-2t
Answers
Answer:
No Solutions
Step-by-step explanation:
Let's find out.
-2(t-4)=10-2t
-2t+8=10-2t
-2t=2-2t
0=2
Hope this helps :)
You have to multiply 7 by 19. Which equation uses the Distributive Property to take this problem apan
A. 7(10 + 9) = 70 + 16
CB B. 7(10 + 9) = 70 + 9
c. 7(10 + 9) = 70 +63
D. 7(10 + 9) = 17 +63
Answers
Hope this helps!
How do I draw perpendicular line
Answers
Answer:
Follow these steps and you will find how to make a perpendicular line.
Step-by-step explanation:
Open the compass to a radius less than half the segment.
Draw two arcs intersecting the line on both sides of the point.
Draw two arcs using the intersection points as the centers. ...
Construct a line between this point and the original point.
Hope this helped :) -ish
is the change of rate always constant
Answers
In mathematics, a constant rate of change is a rate of change that stays the same and does not change.
