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3 years ago

EASY QUESTION 20 POINTS& BRAINLIEST

Mathematics

1 answer:

xenn [34]3 years ago

6 0

Answer:

See explanation below, and see attached photo for graphs

Step-by-step explanation:

To graph 3x + y = 6, find the x and y intercepts.

We get the x intercept when y = 0, so plug in 0 for y and solve...

3x + 0 = 6

3x = 6

x = 2, so the x intercept is at (2, 0)

We get the y intercept when x = 0, so plug in 0 for x and solve...

3(0) + y = 6

y = 6, so the y intercept is at (0, 6)

Plot those two points and draw a line through them

To graph -3x - 4y = 12, find the x and y intercepts.

We get the x intercept when y = 0, so plug in 0 for y and solve...

-3x - 4(0) = 12

-3x = 12

x = -4, so the x intercept is at (-4, 0)

We get the y intercept when x = 0, so plug in 0 for x and solve...

-3(0) - 4y = 12

-4y = 12

y = -3, so the y intercept is at (0, -3)

Plot those two points and draw a line through them

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Find the transition matrix from B to B'. B = {(-1,2), (3, 4)), B' = {(1, 0), (0, 1)} STEP 1: Begin by forming the following matr

8_murik_8 [283]

Answer: The required matrix is

$T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .$

Step-by-step explanation: We are given to find the transition matrix from the bases B to B' as given below :

B = {(-1,2), (3, 4)) and B' = {(1, 0), (0, 1)}.

Let us consider two real numbers a, b such that

$(-1,2)=a(1,0)+b(0,1)\\\\\Rightarrow (-1,2)=(a,b)\\\\\Rightarrow a=-1,b=2.$

Again, let us consider reals c and d such that

$(3,4)=c(1,0)+d(0,1)\\\\\Rightarrow (3,4)=(c,d)\\\\\Rightarrow c=3,d=4.$

Therefore, the transition matrix is given by

$T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .$

Thus, the required matrix is

$T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .$

7 0

3 years ago

What would be the equation for #23???

Rufina [12.5K]

Hi there!

Let r be the number of matches that Rebecca's team won.

We know that Katheryn's team won 9 more matches than Rebecca's team, and we know that Katheryn's team won 52 matches.

Using this given information, we can create the following equation.

$r+9=52$

If you wish to solve this, we can subtract both sides by 9 to get the following value for r.

$r=43$

Have an awesome day! :)

~collinjun0827, Junior Moderator

8 0

3 years ago

Read 2 more answers

Mary and Jeff both have jobs at a baseball stadium selling bags of peanuts. They each get paid $12 per game

Anarel [89]

A) 1.75p + 12 = 54
1.75p = 42
p = 24 bags

b) 1.75(70) + 12 = b
122.5 + 12 = b
b = $134.50

6 0

3 years ago

Tom,Scott and dawn sold cookies at the school fair.

aleksklad [387]

First of all work out how many tom and scott sold.
tom sold 60% of 90 cookies which is 54.
scott sold 2/3 of 150 cookies which is 100.
altogether the three of them sold 54+100+46 cookies which is 200.
Dawn sold 46 of these 200 cookies. To work out the percentage we have both the numbers to get 23 out of 100. We halved those numbers because a percentage is out of 100 we halved it to get it out of 100.
so 23 out of 100 is 23% so dawn sold 23%of the cookies.

Hope this helps :)

3 0

3 years ago

You usually buy a 16.5-ounce bottle of shampoo. There is a new bottle that says it gives you 30% more free.

Katarina [22]

Answer:

$\frac{x-16.5}{16.5}=0.30$