7r-15/s when r= 3 and s = 5.

Treat the matrices on the right side of each equation like you would a constant.

Let 2X + Y = A and 3X - 4Y = B.

Then you can eliminate Y by taking the sum

4A + B = 4 (2X + Y) + (3X - 4Y) = 11X

==>   X = (4A + B)/11

Similarly, you can eliminate X by using

-3A + 2B = -3 (2X + Y) + 2 (3X - 4Y) = -11Y

==>   Y = (3A - 2B)/11

It follows that

[tex]X=\dfrac4{11}\begin{bmatrix}12&-3\\10&22\end{bmatrix}+\dfrac1{11}\begin{bmatrix}7&-10\\-7&11\end{bmatrix} \\\\ X=\dfrac1{11}\left(4\begin{bmatrix}12&-3\\10&22\end{bmatrix}+\begin{bmatrix}7&-10\\-7&11\end{bmatrix}\right) \\\\ X=\dfrac1{11}\left(\begin{bmatrix}48&-12\\40&88\end{bmatrix}+\begin{bmatrix}7&-10\\-7&11\end{bmatrix}\right) \\\\ X=\dfrac1{11}\begin{bmatrix}55&-22\\33&99\end{bmatrix} \\\\ X=\begin{bmatrix}5&-2\\3&9\end{bmatrix}[/tex]

Similarly, you would find

[tex]Y=\begin{bmatrix}2&1\\4&4\end{bmatrix}[/tex]

You can solve the second system in the same fashion. You would end up with

[tex]P=\begin{bmatrix}2&-3\\0&1\end{bmatrix} \text{ and } Q=\begin{bmatrix}1&2\\3&-1\end{bmatrix}[/tex]

Step-by-step explanation:

hence it has been done . check the file .

hope this helped you

any problem then comment it .

Answer:

Tad has 12 dollars and Grace has 24

Step-by-step explanation:

Grace has twice as much, 24 is double 12. So Tad has 12 dollars.

Answer:

11

Step-by-step explanation:

the common difference in the last sequence is 5 which can be gotten by subtracting the first term minus the second term.. therefore to find the next term you subtract 5 from the previous term,and 16-5 is 11.

I hope this helps

Answer:

b

Step-by-step explanation:

The first series has a patten which is an=a(n-1)-5. The second series follow the pattern which is an=a(n-1)+4. The third series follow the pattern an=a(n-1)+5. So 16-5=11.

Answer:

A system of linear equations that could be used to determine which day they will jog the same number of minutes is presented as follows;

m = 2·d + 15

m = d + 22

Step-by-step explanation:

The table of values for the number of minutes Jon and Kristen jog each day is presented as follows;

Jon

[tex]\begin{array}{ccc}Day&&Minutes\\0&&15\\1&&17\\2&&19\\3&&21\end{array}[/tex]

Kristen

[tex]\begin{array}{ccc}Day&&Minutes\\0&&22\\1&&23\\2&&24\\3&&25\end{array}[/tex]

The slope of the data representing Jon's data, m = (21 - 15)/(3 - 0) = 2

Therefore, the equation representing Jon's data is given as follows;

m - 15 = 2·d

m = 2·d + 15

The slope of the data representing Kristen's data, m = (25 - 22)/(3 - 0) = 1

Therefore, the equation representing Kristen's data is given as follows;

m - 22 = d

∴ m = d + 22

The system of linear equations that could be used to determine which day they will jog the same number of minutes is therefore;

m = 2·d + 15

m = d + 22

The answer is in the picture below!

[tex]\\ \sf\longmapsto 2x+y=2[/tex]

[tex]\\ \sf\longmapsto 2x=2-y[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2-y}{2}\dots(1)[/tex]

And

[tex]\\ \sf\longmapsto x+1=y+2[/tex]

[tex]\\ \sf\longmapsto x=y+2-1[/tex]

[tex]\\ \sf\longmapsto x=y+1[/tex]

Put the value

[tex]\\ \sf\longmapsto \dfrac{2-y}{2}=y+1[/tex]

[tex]\\ \sf\longmapsto 2-y=2(y+1)[/tex]

[tex]\\ \sf\longmapsto 2-y=2y+2[/tex]

[tex]\\ \sf\longmapsto 2-2=2y+y[/tex]

[tex]\\ \sf\longmapsto 3y=0[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{0}{3}[/tex]

[tex]\\ \sf\longmapsto y=\infty[/tex]

Put in eq(1)

[tex]\\ \sf\longmapsto x=\dfrac{2-y}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2-\infty}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2}{2}[/tex]

[tex]\\ \sf\longmapsto x=1[/tex]

Answer:

We know that Sin,

 [tex]=\frac{perpendicular}{hypotenuse}[/tex]

[tex]SinA=\frac{BC}{AC}[/tex]

[tex]SinA=\frac{9}{41}[/tex]

OAmalOHopeO

Answer:

1) [tex]x^{2/3}[/tex]

[tex]3[/tex] → index

[tex]\sqrt[3]{x^{2} }[/tex]

[tex]Index: 3[/tex]

----------------

2) [tex]7^{5/4}[/tex]

[tex]=\sqrt[4]{7^{5} }[/tex]

[tex]=(\sqrt[4]{7})^{5}[/tex]

----------------

3) [tex]\sqrt[7]{2^{3} }[/tex]

[tex]=(2^{3} )^{1/7}[/tex]  [tex][\sqrt[x]{n} =n^{1/n} ][/tex]

[tex]=2^{3/7}[/tex]

----------------

3) [tex]\sqrt[12]{8^{4} }[/tex]

[tex]y=(8^{4} )^{1/12}[/tex]

[tex]y=(8)^{1/3}[/tex]

[tex]y=(2)^{3\times 1/3}[/tex]

[tex]y=2[/tex]

------------------

4) [tex]128^{3/7}[/tex]

[tex]=\sqrt[7]{2\times 2\times2\times 2\times 2\times2\times 2}[/tex]

[tex]=(2)^{3}[/tex]

[tex]=8[/tex]

----------------------

OAmalOHopeO

Answer:

The answer is......

COS A

Answer:

10

Step-by-step explanation:

ans is 10

because 2×5 is 10

Answer:

2x5= 10

Step-by-step explanation:

5, 10,15,20

five 2 times is 10

Answer:

[tex]\boxed {\boxed {\sf 8.7}}[/tex]

Step-by-step explanation:

We are asked to find the length of the third side in a triangle, given the other 2 sides.

Since this is a right triangle (note the small square in the corner of the triangle representing a 90 degree /right angle), we can use the Pythagorean Theorem.

[tex]a^2 + b^2 =c^2[/tex]

In this theorem, a and b are the legs of the triangle and c is the hypotenuse.

We know that the unknown side (we can say it is a) and the side measuring 5 are the legs because they form the right angle. The side measuring 10 is the hypotenuse because it is opposite the right angle.

Substitute the values into the formula.

[tex]a^2 + (5)^2 = (10)^2[/tex]

Solve the exponents.

[tex]a^2 + 25=100[/tex]

We are solving for a, so we must isolate the variable. 25 is being added to a. The inverse operation of addition is subtraction, so we subtract 25 from both sides.

[tex]a^2 +25-25=100-25[/tex]

[tex]a^2=100-25[/tex]

[tex]a^2 = 75[/tex]

a is being squared. The inverse of a square is the square root, so we take the square root of both sides.

[tex]\sqrt {a^2}= \sqrt{75}[/tex]

[tex]a= \sqrt{75}[/tex]

[tex]a= 8.660254038[/tex]

Round to the nearest tenth. The 6 in the hundredth place tells us to round the 6 up to a 7 in the tenth place.

[tex]a \approx 8.7[/tex]

The length of the third side is approximately 8.7

Using Pythagorean theorem

[tex]\boxed{\sf B^2=H^2-P^2}[/tex]

[tex]\\ \sf \longmapsto B^2=10^2-5^2[/tex]

[tex]\\ \sf \longmapsto B^2=100-25[/tex]

[tex]\\ \sf \longmapsto B^2=75[/tex]

[tex]\\ \sf \longmapsto B=\sqrt{75}[/tex]

[tex]\\ \sf \longmapsto B=\sqrt{25\times 3}[/tex]

[tex]\\ \sf \longmapsto B=5\sqrt{3}[/tex]

[tex]\\ \sf \longmapsto B=5\times 1.732[/tex]

[tex]\\ \sf \longmapsto B=8.66[/tex]

[tex]\\ \sf \longmapsto B\approx 8.7[/tex]

Answer:

$5.00

Step-by-step explanation:

$3.50+$1.50=$5.00

Answer:

There are 3 intervals as following:

x ≤ 1

1 ≤ x ≤3

x ≥ 3

Combining the all, we get:

Answer:

40 girls 20 boys i think / guess

Step-by-step explanation:

Answer:

20/40

Step-by-step explanation:

i hope it help

Answer:

The point is at -0.58

Step-by-step explanation:

If you count each line, they each represent 0.1, so -0.55, -0.56, -0.57 and -0.58 is the 4th line

Answer:

-0.58

Step-by-step explanation:

Each division is 1/100  or 0.01

-(0.55 + 0.01) = - 0.56

-(0.56 +0.01) = -0.57

-(0.57 + 0.01) = -0.58

Answer:

y = mx + c

m = -4

at y intercept x = 0

(x,y) =(0,-3)

-3 = -4(0) + c

c = -3

therefore the answer is y = -4x + c

Answer:

D

Step-by-step explanation:

(the above graph depicts a horizontal line that intersects the y axis at -2)

(so, y = -2)

Answer:

0

Step-by-step explanation:

Horizontal line x axis is 0 while the vertical y axis is undefined.

Answer:

156

Step-by-step explanation:

f(x)= 4^(2x) -100

Let x =2

f(2)= 4^(2*2) -100

   = 4^4 - 100

   = 256 -100

   = 156

Answer:

y= 3x+8

Step-by-step explanation:

not a 100% sure...

sry if its wrong

(try using Math-way, its rly helpful)

Answer:

Step-by-step explanation:

y=mx+b

To find slope: -4+1/-4+3

Slope=3

y=3x+b

Plug in either points ,as an example, i'll plug in (-3,-1)

-1=3(-3)+b

-1=-9+b

8=b

Finished formula: y=3x+8

Answer:

11.5%.

Step-by-step explanation:

Looking at the base of the exponent, it can be seen that it is 1.115. 1.00 is equal to 100% of the investment value each year. There is an additional 0.115, which is equivalent to 11.5%, which represents the increase in the investment value each year.

Therefore, the percent increase each year for the investment is 11.5%.

Answer:

[tex] ({a + b})^{2} [/tex]

[tex](a + b)(a + b)[/tex]

[tex] {a}^{2} + 2ab + {b}^{2} [/tex]

hope this help you

Answer: MATH

Step-by-step explanation:

Answer:

answer for the question is

x = 1

y = 4

subject is math btw if you are asking about that

Answer:

if your trying to find the area of the square it's 1024 if your trying to find the circumference of the circle it's 32π ( also known as 32 x pi)

The options for the box and whisker plots aren't given ; however using technology, a box and whisker plot could be generated from the data.

Answer:

Step-by-step explanation:

Given :

45, 44, 47, 49, 45, 47, 42, 39, 45, 42, 44

Using technology, the box and whisker plot generated for the data is attached below.

The 5 - number summary is also given below :

Minimum: 39

Median: 45

First quartile: 42

Third quartile: 47

Interquartile Range: 5

Maximum: 49

Outliers: none

Answer:

Step-by-step explanation:

Answer:

x=30/tan(22)

x= 74.2526056

Step-by-step explanation:

Answer:

f(3) = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x - 4

Step 2: Evaluate

Answer: Choice A

4^2 + b^2 = 5^2

This is due to the pythagorean theorem.

Answer:

900 is the correct awnser

Answer:

Step-by-step explanation:

f(1) = 8000

f(2) = 1/2(n - 1)

f(2) = 1/2(2 - 1)

f(2) = 1/2    Note: this really does not make sense. I think what you mean is 1/2*f(n-1). If this is true, leave a note within the next hour.

Answer:

f(5) = 500

Step-by-step explanation:

Using the recursive rule and f(1) = 8000 , then

f(2) = [tex]\frac{1}{2}[/tex] f(1) = [tex]\frac{1}{2}[/tex] × 8000 = 4000

f(3) = [tex]\frac{1}{2}[/tex] f(2) = [tex]\frac{1}{2}[/tex] × 4000 = 2000

f(4) = [tex]\frac{1}{2}[/tex] f(3) = [tex]\frac{1}{2}[/tex] × 2000 = 1000

f(5) = [tex]\frac{1}{2}[/tex] f(4) = [tex]\frac{1}{2}[/tex] × 1000 = 500

a(2x + 3) = 10x + 15

For what value of a does 2x + 3 = 10x + 15?

2x + 3 = 5( 2x + 3)

a=5

Answer:

D. linear; y = –3x – 6

B. quadratic; y = –x2

Step-by-step explanation:

Let

A (0,-2) B (1,-3) C (2,-4) D ( 3,-5) E (4,-6)

using a graph tool

see the attached figure N 1

case a) exponential

see the attached figure N 2

case b) quadratic

see the attached figure N 3

case c) linear

see the attached figure N 4

case d) linear

see the attached figure N 5

therefore

the answer is

the case c) linear

...............................................................................................................................................

Answer:

For the first part

What type of function best models the data in the graph?

✔ quadratic

y = 0.433x2 for the second part.

...............................................................................................................................................

Answer:    

Option (2).

Step-by-step explanation:

From the figure attached,

Since there is a common difference in each successive term and previous term of y,

          = -3

          = -3

Therefore, this data represents a linear equation.

Now we choose two points from the table given.

Let the points are (0, -6) and (1, -9)

Slope of this line 'm' =  

m =  = -3

Y-intercept 'b' = -6

Equation of the line will be,

y = -3x - 6

Option (2) will be the answer.