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QUESTION 18

Here is how you multiply a 2×2 matrix by a column vector (just one column matrix).

[tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] *\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}ax&by\\cx&dy\\\end{array}\right][/tex]

Once you get that final matrix, you add the rows which will give you a final column vector. Let's do it with this question, as we are multiplying together the matrices A and v.

[tex]\left[\begin{array}{ccc}-1&4\\2&0\\\end{array}\right] *\left[\begin{array}{ccc}8\\6\\\end{array}\right] =\left[\begin{array}{ccc}-8&24\\16&0\\\end{array}\right] =\left[\begin{array}{ccc}16\\16\\\end{array}\right][/tex]

So, your answer is [tex]\left[\begin{array}{ccc}16\\16\\\end{array}\right][/tex].

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QUESTION 14

We have this equation of an ellipse and we need to solve for y. When we have a more complex equation to solve you get rid of the things furthest from the variable you are solving for first and then you get closer and closer to it.

[tex]\frac{x^2}{25} + \frac{y^2}{16}=1[/tex]

We subtract [tex]\frac{x^2}{25}[/tex] from both sides.

[tex]\frac{y^2}{16}=1-\frac{x^2}{25}[/tex]

We multiply both sides by 16.

[tex]y^2=1-\frac{x^2}{25}*16[/tex]

We square root both sides.

[tex]y=[/tex] [tex]\sqrt{1-\frac{x^2}{25}*16[/tex]

We can take a four out of our root (because 16 is a perfect square so it can be simplified more).

y= [tex]4\sqrt{1-\frac{x^2}{25}[/tex]

And we take out 1/5 (which is the square root of 1/25).

y=± [tex]\frac{4}{5}\sqrt{1-x^2[/tex]

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QUESTION 17

We see that Sea Slugs have 3/10 matches won, so they have won 30% of their matches.

From now on, they will be winning 2/3 of their games. Let's look at the answer options.

A. If they play 15 more games, they will win 10 of them. Our total matches will be 25 (our original 10+15). So, we will have 13/25, which is equal to 52%, so this is incorrect.

B. If they play 10 more games they win 6 2/3 games (like that makes any sense) for a total of 9 2/3 games out of 20. This is about 48%, so this is incorrect.

C. If they play 40 games, they are winning fractional games again. They win 29 2/3 games out of 50 total, which is about 59%, but not quite 60. This is also incorrect.

D. If they play 45 matches, they will win 30 games. Add the original 10 and you have 40 games. Our total is 55. 40/55 is about 73%, so they have passed that 60% threshold, so this is the correct answer.

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QUESTION 16

Our question tells us that if we have two numbers x and y, and we add them, it has to be 24 or greater. By saying it can be equal to 24 or greater, we are going to be using a ≤ or ≥ sign. The opening of the arrow always faces the equal or greater quantity, and in this case it is x+y, so it will look like x+y≥24.

This eliminates answer choices B and D as they do not have the equal part on the inequality.

Product means to multiply, so it will be written as xy. It has to be less than 60, so in this case the greater quantity is 60, so the arrow will opening towards 60, so it will look like xy<60.

So, our final answer is A.

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QUESTION 12

You can only multiply matrices if the number of columns in the first matrix is equal to the number of rows in the second. So basically the two interior numbers have to be the same (a,b) and (b,c). So, if we follow this, we get these answers:

2×2 times 2×1 YES

2×1 times 2×2= NO

3×3 times 3×1= YES

3×1 times 3×3= NO

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Have a wonderful day and keep on learning! :D

Answer:

y=2x

Step-by-step explanation:

we can set x=number of week, and y=inches

as you can see, 1 week-> x=1 :y=2(1) = 2 inches

                         2 week-> x=2 :y=2(2)=4 inches

**if we substitute x to  y = 2x + 2 and y = 4x + 2, it will not works.

Answer:

Your answer is 33.

step- by step :

29×29-22×22=841-484

= 357

Closest square of 18 which is 324.

So, 357-324= 33. ans.

Answer:

A = 7200(1.04)^3

A = 8099

Step-by-step explanation:

Answer:

-2.

Step-by-step explanation:

f(0) = 0^2 + 8(0) - 2

= -2.

Answer:

4.2

Step-by-step explanation:

d=sqrt[(x1-x2)^2+(y1-y2)^2]

d=sqrt[(5-8)^2+(-5+8)^2]

d=sqrt[(-3)^2+(3)^2]

d=sqrt[9+9]

sqrt18=4.24

Answer:

So she earned 148 dollars and 50 cents or 148.5

Step-by-step explanation:

Answer:

b)A box from all 4 sides increases as the number increase

c)

Step-by-step explanation:

a+(n-1)d

a-first terms

d- difference

5+(n-1)4

5+4n-4

4n+1(the nth term)

so for 50th

its 4*50+1

Answer is 201 tiles

Hope this helps you :))

Answer:

-2 + 4f

Step-by-step explanation:

6 - 8 + 6f - 2f​

2(3 - 4 + 3f -f)     [Distributive Property]

=> 2(-1 + 3f - f)

=> 2(-1 + 2f)

=> -2 + 4f

Answer:

4f-2

Step-by-step explan:

6-8+6f-2f

6-8+4f

4f-2

Answer:

Ignorance, or a lack of knowledge, isn't usually viewed as a good thing. However, there may be situations when you're happier not knowing the truth. A common expression used to describe these situations is “Ignorance is bliss.” This phrase is an idiom, which is means that it isn't meant to be taken literally.

I am super late

By looking at the dot graph, we can see that the single dot above 12 in the Stony Brook graph, means that the ecologist find that in one of the 42 places measured in the Stony Brooks lake, the nitrate concentration was 12 mg/L

To understand this, first I want to give a brief explanation of how these graphs work.

You know that the ecologist did study the Nitrate pollution at 42 places in two lakes.

Each of these 42 places is represented with a dot in the corresponding graph.  Now looking at the graph, the position of the dots represents the nitrate concentration (you can see it in the horizontal axis) on one of these 42 places (42 dots for 42 places).

So, having a single dot above 12 in the Stony Brook graph, means that the ecologist find that in one of the 42 places measured in the Stony Brooks lake, the nitrate concentration was of 12 mg/L

If you want to learn more, you can read:

https://brainly.com/question/16354226

Answer:

72 x 3/7 < 72

Step-by-step explanation:

72 x 3/7 = 30 6/7. Therefore 72 is the bigger number.

I hope this helps you out :).

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

Step-by-step explanation:

Answer:

decay

Step-by-step explanation:

The function is in the form

y = a (b)^x

a is the initial value and b is the growth or decay factor

When b < 1  it is decay

When b > 1 it is growth

Since b = .93 it is decay

Answer:

n=12

Step-by-step explanation:

3.3(n-8)-n=1.2

Distribute

3.3n -26.4 -n = 1.2

Combine like terms

2.3n -26.4 = 1.2

Add 26.4 to each side

2.3n -26.4+26.4 = 1.2 +26.4

2.3n = 27.6

Divide each side by 2.3

2.3n/2.3 = 27.6/2.3

n=12

the solution to the equation is n = 12. Let's simplify the given equation step by step: [tex]\(3.3(n - 8) - n = 1.2\)[/tex]

Step 1: Distribute the 3.3 to the terms inside the parentheses:

[tex]\(3.3n - 3.3 \times 8 - n = 1.2\)[/tex]

Step 2: Perform the multiplication:

[tex]\(3.3n - 26.4 - n = 1.2\)[/tex]

Step 3: Combine like terms:

[tex]\(3.3n - n = 1.2 + 26.4\)\\\(2.3n = 27.6\)[/tex]

Step 4: Isolate n by dividing both sides by 2.3:

[tex]\(n = \frac{27.6}{2.3}\)\\\(n = 12\)[/tex]

So, the solution to the equation is n = 12.

To know more about equation:

https://brainly.com/question/8651602

#SPJ3

Answer:

Answer:

y > - 10x - 1

Step-by-step explanation:

Given

10x + y > - 1 ( subtract 10x from both sides )

y > - 10x - 1 ← in slope- intercept form

Answer:

y > -10x - 1.

Step-by-step explanation:

10x + y > - 1

Subtract 10x from both sides:

y > -10x - 1.

Answer:

(-9,-6)

Explanation

Answer:

(9,-6)

Step-by-step explanation:

(x,y)→(y,-x)

Negate the x then switch

(x,y)→(y,−x)

(6,9)→(9,−(6))=(9,−6)

Answer:

its 12.03

have a great dayy

Answer:

12:40

hope this will help you have a great day

Answer:

B irrational :]..............

Step-by-step explanation:

steps are in picture above.

Note:if you need to ask any question please let me know.

Answer:

A) Commutative

Step-by-step explanation:

The Associative has to do with re-grouping numbers. There are only two numbers so this does not apply here. Commutative is where you change the order; that's what the equation is demonstrating.

Answer:

The Commutative Property.

Step-by-step explanation:

The commutative property says that when multiplying, you can change the order without changing the answer.

: 2(2x-7)+2(4x+3)=112

Step-by-step explanation:

Answer: Third Choice. 112 = 2 (2x - 7) + 2 (4x + 3)

Concept:

Here, we need to know how to find the perimeter of a rectangle.

Perimeter (rectangle) = 2l + 2w

l = length

w = width

Solve:

Given information

l = 2x - 7

w = 4x + 3

Perimeter = 112 cm

Given expression

Perimeter = 2l + 2w

Substitute values into the expression

[tex]\boxed{112 = 2 (2x - 7) + 2 (4x + 3)}[/tex]

Expand parentheses

112 = 4x - 14 + 8x + 6

Combine like terms

112 = (4x + 8x) + (6 - 14)

112 = 12x - 8

Add 8 on both sides

112 + 8 - 12x - 8 + 8

120 = 12x

Divide 12 on both sides

120 / 12 = 12x / 12

[tex]\boxed{x=10}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

The fraction that is equal to 0.375 is 3/8.

Hope this helps! :)

a

Step-by-step explanation:

five to left and 9 to down

Step-by-step explanation:

b/c -|9|

first we will out the number from absolut value

then it will give as -9

Answer:

4.2

Step-by-step explanation:

0.4+0.3=0.7

0.7x6=4.2

Answer:

4.2

Step-by-step explanation:

6(0.4+0.3)

=> 6(0.7)

=> 6 x 0.7

=> 4.2

The shaded region of a circle formed by one line as shown in the image is called a segment.

Answer: segment