Complete the multiplication: AB.

Complete The Multiplication: AB.

Answers

Answer 1

Answer:

Option: B is the correct

Step-by-step explanation:

Step-by-step explanation:

We are given two matrices A and B as follows:

\begin{gathered}A=\left[\begin{array}{ccc}3&0\\2&-1\end{array}\right]\end{gathered}

A=[

3

2

0

−1

]

and

\begin{gathered}B=\left[\begin{array}{ccc}2&8\\0.6&3\end{array}\right]\end{gathered}

B=[

2

0.6

8

3

]

We know that the multiplication of two matrices of the type:

\begin{gathered}A=\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]\end{gathered}

A=[

a

c

b

d

]

and

\begin{gathered}B=\left[\begin{array}{ccc}a'&b'\\c'&d'\end{array}\right]\end{gathered}

B=[

a

c

b

d

]

is given by:

\begin{gathered}AB=\left[\begin{array}{ccc}aa'+bc'&ab'+bd'\\ca'+dc'&cb'+dd'\end{array}\right]\end{gathered}

AB=[

aa

+bc

ca

+dc

ab

+bd

cb

+dd

]

Hence, here we have:

\begin{gathered}AB=\left[\begin{array}{ccc}3\times 2+0\times 0.6&3\times 8+0\times 3\\2\times 2+(-1)\times 0.6&2\times 8+(-1)\times 3\end{array}\right]\end{gathered}

AB=[

3×2+0×0.6

2×2+(−1)×0.6

3×8+0×3

2×8+(−1)×3

]

i.e.

\begin{gathered}AB=\left[\begin{array}{ccc}6+0&24+0\\4-0.6&16-3\end{array}\right]\end{gathered}

AB=[

6+0

4−0.6

24+0

16−3

]

i.e.

\begin{gathered}AB=\left[\begin{array}{ccc}6&24\\3.4&13\end{array}\right]\end{gathered}

AB=[

6

3.4

24

13

]


Related Questions

A mailman earned $832 a week last year. What was his yearly salary?

Answers

Answer:

$43,264

Step-by-step explanation:

theres 52 weeks in a year so you just do $832 x 52

A rubber ball is dropped from a height of 5 feet and bounces to 1/3 of its height after each fall. If it continues to bounce until it comes to rest, find the total distance in feet it travels.

Answers

Answer:

7ft

Step-by-step explanation:

Subtract -2x² from the sum of 4x² and 15x².​

Answers

Answer:

Step-by-step explanation:

(4x²+15x²)-(-2x²)=19x²+2x²=21x²

Answer:

[tex]21x^{2}[/tex]

Step-by-step explanation:

[tex]4x^{2} +15x^{2} --2x^{2}[/tex]

[tex]4x^{2} +15x^{2} +2x^{2}[/tex]...........2 negatives signs next to each make a positive

[tex]21x^{2}[/tex].................................combine like terms

Find the equation of the line that passes through (-1,2) and is perpendicular to
y
=
1

2
x
.
Leave your answer in the form
y
=
m
x
+
c

Answers

Answer:

is the line are perpendicular then the product of there slope is -1

the slope of the first equation is 2

Step-by-step explanation:

m1+m2=-1

2+m2=-1

m2=-1-2

m2=-3

so the second equation became y=-3x+C

then insert the point (-1,2)

2=-3*-1+C

2=3+C

C=2-3

C=-1

so y=-3x-1

Hope that helps

please help asap…………

Answers

It’s a linear function because each x value belongs to only one y value and only one y value belongs to one x value

Carley beat the school record for the 400 meter run by 1.3 seconds. If she ran in 55.7 seconds, what was the record?

Answers

Answer:

57 seconds

Step-by-step explanation:

55.7 + 1.3 = 57

Hope this helps!

Answer:

57 seconds

Step-by-step explanation:

Since she beat the record by 1.3 seconds, it means the previous record was 55.7 + 1.3. Therefore, the record was 57 seconds.

find the value of x.
View picture for full problem. Please and thank you!
m<2 = 6x + 12.

Answers

Answer:

x = 8

Step-by-step explanation:

All the sides are equal. So, it is an equilateral triangle. So, all angles are 60 each

6x + 12 = 60

6x = 60 - 12

6x = 48

x = 48/6

x = 8

Find the exact length of EC.

Answers

Answer:

[tex]\sqrt{246}[/tex]

Step-by-step explanation:

The scale factor is [tex]\frac{4\sqrt{138} }{\sqrt{138}}[/tex] = 4

If AB = 6[tex]\sqrt{3}[/tex] then AC = 24[tex]\sqrt{3}[/tex]   4 times longer.

Using a² + b² = c²    substitute a = 4[tex]\sqrt{138}[/tex], b = 24[tex]\sqrt{3}[/tex], and c = DC = x

         [tex](4\sqrt{138})^2 + (24\sqrt{3} )^2= x^2[/tex]

            2208 + 1728 = x²

                3936 = x²

                 [tex]\sqrt{3936} = x[/tex]

                 4[tex]\sqrt{246[/tex]    this is the length of DC  

Now the length of EC is 4 times shorter, so EC = [tex]\sqrt{246}[/tex]

Yasmine is making party favors for her birthday party. She has 2/5 meter of yarn to make

bracelets for 5 people. How much of a meter can Yasmine use for each bracelet?

Write out the problem. Then create a model to represent the quotient.

Answers

Answer: 0.5 hope this helps if not i'm sorry

Dave throws sweets upwards at a speed of 8ms^-1 from a first floor window to his sister Carol who is standing at a second floor window 3m directly above Dave. Carol misses catching the sweet as it passes her hand on the way up, but catches it on the way down. Calculate the time it takes for Carol to catch the sweet after Dave has thrown it.

Answers

It would take [tex]1 second[/tex] for Carol to catch the sweet after Dave threw it.

Let

[tex]h=\text{maximum height}\\y=\text{distance from maximum height to Carol}\\t_h=\text{time taken to reach maximum height}\\t_y=\text{time taken to fall from maximum height to Carol}[/tex]

we want to calculate the value [tex]t_h+t_y[/tex]

First, we have to calculate [tex]t_h[/tex] using the formula

[tex]v=u+at[/tex]

using [tex]v=0[/tex], [tex]u=8[/tex], [tex]a=-10[/tex] (the sweets are decelerating due to gravity!)

[tex]0=8-(10)t_h\\10t_h=8\\t_h=\frac{8}{10}=0.8seconds[/tex]

To calculate [tex]t_y[/tex], first calculate [tex]h[/tex], then [tex]y[/tex]. Using the formula

[tex]h=ut+\frac{1}{2}at^2[/tex]

and the values [tex]u=8[/tex], [tex]t=t_h=0.8[/tex], [tex]a=-10[/tex] (again, the sweets are decelerating to get to maximum height)

[tex]h=(8)(0.8)+\frac{1}{2}(-10)(0.8)^2\\\\=6.4-3.2\\=3.2m[/tex]

since, Carol is standing [tex]3m[/tex] above Dave, we have the relationship

[tex]h=y+3[/tex]

so that

[tex]y=h-3\\=3.2-3\\=0.2m[/tex]

we can now calculate [tex]t_y[/tex];

[tex]y=ut_y+\frac{1}{2}gt_y^2[/tex]

taking [tex]y=0.2[/tex], [tex]u=0[/tex], [tex]g=10[/tex] (the sweets are falling, so they are now accelerating)

[tex]0.2=(0)t_y+\frac{1}{2}(10)t_y^2\\\\0.2=5t_y^2\\t_y^2=0.04\\\implies t_y=0.2seconds[/tex]

So it would take

[tex]t_h+t_y=0.8+0.2=1.0seconds[/tex]

for Carol to catch the sweet after Dave threw it from the first floor.

Learn more here: https://brainly.com/question/84352

Can you please give me that answer

Answers

Answer:

Obtuse Triangle

Step-by-step explanation:

When there is an angle with a measurement greater than 90 degrees, the triangle is an obtuse triangle.

The sum of two numbers is 110.The larger number is 2 less than 7 times the smaller.Find the Large number

Answers

Answer:

The larger number is 96.

Step-by-step explanation:

[tex]let \: the \: two \: numbers \: be \: a \: and \: b \\ a + b = 110 \\ let \: a \: be \: the \: larger \: number \\ a = 7b - 2 \\ we \: can \: get \: the \: value \: of \: b \: by \: substituting \: the \: value \: above \: for \: a \: in \: eq \: 1 \\ 7b - 2 + b = 110 \\ 8b - 2 = 110 \\ 8b = 110 + 2 \\ 8b = 112 \\ b = \frac{112}{8} \\b = 14\\ calculate \:the \: value \: of \: a \: using \: the \: equation \: above \\ a + b = 110 \\ a = 110 - 14 \\ a = 96 \\ hence \: the \: large \: number \: is \: 96[/tex]

find the equation of a line perpendicular to y=x-3 that contains the point (2,1)

Answers

Answer:

y = -x + 3

Step-by-step explanation:

y = x - 3   This equation has a slope of 1

A line that would be perpendicular to the above line would then need a slope of -1

If the line has a slope of -1 and passes through (2, 1) then we can plug into

y = mx + b to get the 'b' value

1 = (-1)(2) + b

1 = -2 + b

3 = b

Equation would be y = -x + 3

if f(x)= -13, find x​

Answers

ANSWER:
no solution .

Jimmy is interested in purchasing some yellow and red flowers for his mother's birthday. He visits a local floral shop and gift shop. Both businesses have a variety of flowers from which he can choose. Which answer best describes the sample and population

Answers

Answer:

ll available yellow and red flowers at the two businesses

Population: all available flowers at the two businesses

Step-by-step explanation:

The sample and population should be sample represents all yellow and red flowers while the population represents all flowers.

What are the sample and population?

The entire group about whom you want to make conclusions is referred to as a population. The particular group from which you will gather data is known as a sample. The sample size is always smaller than the population as a whole. A population in research doesn't usually refer to humans.

An entire group from which a conclusion should be derived is referred to as a population. The sample, on the other hand, refers to the population from which the data is drawn.

So based on this, we can say that the sample represents all yellow and red flowers while the population represents all flowers.

Learn more about population here:

brainly.com/question/9882283

#SPJ2

What is the degree of 6x5 - 4x2 + 2x2 – 3 + x?
O A. 6
O B. 2
C. 5
O D. 3

Answers

Answer:

5

Step-by-step explanation:

It is the greatest exponent.

find the slope of the line that passes through the points (-2 3 )and( 4 3)​

Answers

Step-by-step explanation:

Given points,

( -2 , 3) and (4,3)

we know,

slope = y_2 - y_1 / x_2 - x_1

so according to it we got,

→ (3 - 3)/4 - (-2)

→ 0/6

hope this answer helps you dear! take care.

Hello!

To find the slope when we have 2 points, we use the following formula:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{3-3}{4-(-2)} \\\frac{0}{6} \\0[/tex]

Here's something for you to remember:

When the y-coordinates of two points are the same, the slope is 0.

Hope it helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Mark has 2,250 t-shirts to sell. He sold 25% of the
shirts on Monday, 45% on Tuesday and the rest on
Wednesday. How many shirts did he sell on
Wednesday?

Answers

Answer:

1575

Step-by-step explanation:

I need help with this and thought if any of you guys can help

Answers

Answer:

not enough info .

Step-by-step explanation:

sorry it needs more info

Pls hurry!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

It's B.

Step-by-step explanation:

Short response: the table shows the balance of a student bank account at various times estimate how much money is in the student bank account in week 6. justify your answer. HELP ME PLS.BRAINLIEST

Answers

Answer: It would be 102

Step-by-step explanation:

whats the correct label
Is it Negative slope
Is it 0
Is it Positive slope

Answers

Answer:

1) Positive slope

2) Negative slope

3) 0 slope

Step-by-step explanation:

1) This is a positive slope. As x increases, y increases.

2) This is a negative slope. As x increases, y decreases.

3) This is a 0 slope. As x increases, y stays the same.

Answer:

First one is positive

Second one is negative

Last one is zero

Step-by-step explanation:

what are the values of each variable

Answers

Answer:

x=14

Step-by-step explanation:

2x+4=3x-10

Add 10 to both sides, leaving you with

2x+14=3x

Subtract 2x from both sides, leaving you with

x=14

X=14

2x+4=3x-10
4=x-10
14=x

The 66-mm-diameter solid shaft is made of 2014-t6 aluminum and is subjected to the distributed and concentrated torsional loadings shown where t=1. 7 kn⋅m.

Answers

Answer:

bbc

Step-by-step explanation:

Find the side length of the triangle.

Answers

Answer:

a=12

Step-by-step explanation:

brainlest if this helped so much !

Answer:

Its A. 12

Step-by-step explanation:

Hope this helps!

the graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n+c. what does the graph tell you about the value of c in this function?

Answers

Answer:

c = 2.

Step-by-step explanation:

When the first part of the function has the value 0,  f(x) will also be 0 if the c wasn't there.

So the value of c is 2.

From the given graph n is a positive odd number.

What is the exponential function?

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

From the graph,

All the values of the graph are positive values (even for the negative values of x), but in the left side we can see that the function decreases and is different than the right side.

So this is not an even function, then n must be an odd number (n odd allows us to have negative values for y = f(x) that happen when x + k is negative).

Also, we can see that the function increases, if n was a negative number, like: n = -N

We would have: [tex]f(x)=\frac{a}{(x+k)^{\frac{1}{N} }} +c[/tex]

So in this case x is in the denominator, so as x increases, we would see that the value of y decreases, but that does not happen, so we can conclude that the value of n must be positive.

Then n is a positive odd number.

Therefore, n is a positive odd number.

Learn more about the exponential function here:

brainly.com/question/11487261.

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Which general rule should you follow as you collect variable terms on one side of an equation?

Answers

Answer:

You should always Use addition or subtraction to separate the variable on one side of a equation.

Step-by-step explanation:

Antonia earns $6 per hour helping her grandmother. Write and solve an equation to find how many hours she needs to work to earn $48.

Answers

Answer:

48 = 6h

48 = 6 x 8

48 = 48

Step-by-step explanation:

Let e equal her earning and h equal the amount of hours worked. You would divide 48 by 6 to find that she works 8 hours.

(x^2+3x+1)(x^2-2x+5)

Answers

Answer:

x^4 + x^3 + 13x + 5

Step-by-step explanation:

test ill give brainlist
Subtract.

7/8−4/8

Answers

Step-by-step explanation:

7/8 - 4/8.....find the common denominator

(7-4)/8 .....the common denominator is 8

3/8

hope this helps

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