Consider the following functions which map Rn to Rn.
(a) T multiplies the jth component of~x by a nonzero number b.
(b) T replaces the ith component of~x with b times the jth component added to the ith component.
(c) T switches the ith and jth components.
Show these functions are linear transformations and describe their matrices A such that T (~x).

Area of complete triangle= 1/2 ×6 ×9 = 27 Sq Unit.

Area of rectangle inside triangle = 2× 5 = 10 sq unit.

area of the gray part of the triangle =Area of triangle - Area of rectangle = 27-10 = 17 Sq unit

Gray area = Big triangle area - white

rectangle area

Gray area = 1/2 × 6 × 9 - 2 × 5

Gray area = 3 × 9 - 10

Gray area = 27 - 10

Gray area = 17

Answer:

2 hours

Step-by-step explanation:

Let t represent the anount of time traveled by Chelsea

Katie

d= 18t

Chelsea

d= 6(4+t)

18t= 6(4+t)

18t= 24+6t

18t-6t= 24

12t= 24

Divide bith isdes by the coefficient of t which is 12

t= 24/12

t= 2

Hence Katie will have to travel for 2 hours before catching up with Chelsea,

Answer:

Sample Answer for Edmentum

Step-by-step explanation:

Answer: 0.0112%

Step-by-step explanation:

Answer:

I have no ideal dat is it okkkkkkk

202203948575895959539393939

the next term of sequence is 128

Answer:

117 sq in

Step-by-step explanation:

Answer:

39,80,89

Step-by-step explanation:

Right triangles hypotenuse squared should equal the sum of its other side lengths. A^2+B^2=C^2. The hypotenuse is the longest length (89).

39^2+80^2=89^2

7921=7921

Answer:

Slope: 7/5

Step-by-step explanation:

Slope is rise over run, so from the first dot to the second one, it rises by seven and runs by 5.

Hope this helped :)

Step-by-step explanation:

Total amount of cookies = 4250

butter cookies, b

Almond cookies, a

Chocolate cookies, c

It made 715 more butter cookies than

almond cookies

b = a + 715

It made 5 times as many chocolate cookies as almond

5a = c

Total amount of cookies

= a + b + c

= a + (a+715) + (5a)

= 7a + 715

7a + 715 = 4250

7a = 4250-715

a = 3535 / 7

a = 505

c = 5a

= 5 (505)

= 2525

The factory make 2525 chocolate cookies.

The number of chocolate cookies made by the factory is 2525 cookies

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of cookies = 4250 cookies

Let the number of almond cookies be = a

Let the number of butter cookies be = b

Let the number of chocolate cookies = c

So , the equation is

a + b + c = 4250   be equation (1)

Now ,

715 more butter cookies than almond cookies

Butter cookies b = 715 + a   be equation (2)

And , 5 times as many chocolate cookies as almond cookies

Chocolate cookies c = 5a   be equation (3)

So , substituting the values of a , b and c in equation (1) , we get

a + ( a + 715 ) + 5a = 4250

7a + 715 = 4250

Subtract 715 on both sides of the equation , we get

7a = 3535

Divide by 7 on both sides of the equation , we get

a = 505 cookies

Substitute the value of a in equation (2) , we get

b = 715 + a

b = 715 + 505

b = 1220 cookies

Substitute the value of a in equation (3) , we get

c = 5a

c = 505 x 5

c = 2525 cookies

Hence , number of chocolate cookies made by the factory is 2525 cookies

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Answer:

The age of Sydney's is 46 and the age of Devaughn is 61

Step-by-step explanation:

Here;

Devaughn: 15yrs older that S..= 15+7= 22yrs old

sum of their age= 107

Now;

Sydney age= 107 - 100

7yrs old,,

Answer:

(x + 5) and (x -1)

Step-by-step explanation:

Given

The attached graph

Required

The [tex]factors[/tex] of the graph

The x [tex]values[/tex] are where the [tex]curve[/tex] [tex]touches[/tex] the x-axis

The first is at:

[tex]x = -5[/tex]

Add 5 to both sides

[tex]x +5= -5+5[/tex]

[tex]x +5= 0[/tex]

This implies that the first factor is: (x + 5)

The second is at:

[tex]x =1[/tex]

Subtract 1 from both sides

[tex]x - 1 = 1 - 1[/tex]

[tex]x - 1 = 0[/tex]

This implies that the other factor is: (x - 1)

Answer:

Step-by-step explanation:

57=

Answer:

I'm guessing 60

Step-by-step explanation:

84% sure tho

Answer:

The answer is C

Step-by-step explanation:

there is no explanation

Answer:

B

Step-by-step explanation:

The line crossed the y axis at 4 and the slope is -2. you can do rise/ run to find the slope which is -2/1 or -2

Answer:

the answer is 3.14 x 3 ^2

Step-by-step explanation:

the radius is half of 6 so 3 then add pi so 3.14 x 3 ^2

use this same concept for other similar question just divide  the full length of the circle in half the radius the just look for the answer that has the radius pi and squared

Answer:

When a cone and cylinder have the same height and radius the cone will fit inside the cylinder. The volume of the cone will be one-third that of the cylinder. If the radius or height are different, then there is no relationship between them.

Step-by-step explanation:

Answer:

The square root function is the inverse of the squaring function just as subtraction is the inverse of addition. To undo squaring, we take the square root. In general terms, if a is a positive real number, then the square root of a is a number that, when multiplied by itself, gives a.

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

Answer:

GH 225.00

Step-by-step explanation:

15% of 1500

(15÷100) × 1500

0.15×1500

225

Answer is A y=2sec(2x)

The function whose graph is given by A y=2sec(2x)

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function having increasingly output for inputs greater than that value of x.

If the function crosses x axis at some point, then for polynomial functions, we have those as roots of the polynomial.

The function that we are given graphed has the point (0,2), this means whichever function f(x) it represents f(0) = 2.

Now, only the sec function has the property that;

y=2sec(2x)

The function whose graph is given by A y=2sec(2x)

Learn more about finding the graphed function here:

https://brainly.com/question/27330212

#SPJ2

Answer:

[tex] \tan(A) = \frac{opp}{adj} \\ \tan(A) = \frac{ \sqrt{72} }{3} \\ \tan(A) = \frac{ \sqrt{36 \times 2} }{3} \\ \tan(A) = \frac{6 \sqrt{2} }{3} \\ \tan(A) = 2 \sqrt{2} [/tex]

Answer:

(9)(x)(y) or 9(x + y)

Step-by-step explanation:

Step-by-step explanation:

y = -x²+6x-5

x-intercept => y= 0

-x²+6x-5=0

x²-6x+5=0

(x-5) (x-1) =0

x= 5 or x=1

(1, 0) and (5, 0)

Answer:

First question: C. 20 7/12

Second question: B. 242

Third question: D. 4.8

Fourth Question: C. 2 5/18

Step-by-step explanation:

Answer:

20 7/12

Step-by-step explanation:

=6 1/2 + 4 2/3 + 9 5/12

=19 19/12

=19 + 1 7/12

=20 7/12

Answer:

Part A - No

Part B - 100 %

Step-by-step explanation:

Part A.

This is because, a fair chance requires that each member has the same probability of being picked.

Since there are 4 towns, a fair chance would be 1/4.That is, 1 out of every town.

Part B

The probability of at least 1 representative after 6 number draws is P(at least 1)  = 1 - P(none from Town 1)

P(none from town 1) = 0

P(at least 1)  = 1 - P(none from Town 1)

P(at least 1)  = 1 - 0 = 1

In percentage 1 × 100 % = 100 %

Answer:

Step-by-step explanation:

To find the time at which both balls are at the same height, set the equations equal to each other then solve for t.

h = -16t^2 + 56t

h = -16t^2 + 156t - 248

-16t^2 + 56t = -16t^2 + 156t - 248

You can cancel out the -16t^2's to get

56t = 156t - 248

=> 0 = 100t - 248

=> 248 = 100t

=> 2.48 = t

Using this time value, plug into either equation to find the height.

h = 16(2.48)^2 + 56(2.48)

Final answer:

h = 40.4736