If A={2,4,6,8,10,12} and B={3,6,9,12,15} then A n B is
A. (A n B) = {2. 3. 4. 6. 8. 9. 10. 12}
B.(A n B) = {2,3,4,8,9,10}
C. (A n B) = {2,3,10,12}
D. (A n B) = {6,12}

Answer:

(b) y=-3/4x-8

Step-by-step explanation:

The graph that will be perpendicular to the graph 4x - 3y = -12

If this equation is represented in form of the straight line equation y = mx + b

it will change to 3y = 4x + 12

therefore y = (4/3)x + (12/3)

y = (4/3)x + 4

which implies that m = 4/3 while b = 4

However for the line that will be perpendicular to the graph, its slope m1 must be negative inverse of the slope of the initial graph

This is because m x m1 = -1

therefore m1 = -1/m

this implies that the correct answer must have a slope of -1/(4/3) = -3/4

The correct answer can then be analysed by expressing all options with y = mx + b

(a) In form of y = m1x + b, 4x+3y=12 becomes y = -4/3x + 4 (m1 = -4/3: wrong)

(b) In form of y = m1x + b, y=-3/4x-8 has m1 = -3/4 (correct)

(c) In form of y = m1x + b, y=3/4x+1 has m1 = 3/4 (wrong)

(d) In form of y = m1x + b, 3x-4y=1 becomes y = 3/4x - 1/4 (m1 = 3/4: wrong)

Answer:

f(x)=38x+b

Linear Equation

Step-by-step explanation:

So I used slope intercept form it 38 per bicycle and plus the costs of running but we don't know the cost so it's shown as b, the reason I did not use Exponential because from reading the word problem it's not going to grow rapidly.

Answer:

[tex]14\ \frac{miles}{gallon}[/tex]

Step-by-step explanation:

we know that

To find out the unit rate (number of miles per gallon of gasoline) divide the total miles driven by the total gallons of gasoline used

so

[tex]\frac{278.2}{19.6}\ \frac{miles}{gallons}=14.19\ \frac{miles}{gallon}[/tex]

Round to the nearest WHOLE amount of miles

[tex]14.19\ \frac{miles}{gallon}=14\ \frac{miles}{gallon}[/tex]

Answer: 1 hour

Step-by-step explanation:

2 gallons in, 3 gallons out per minute

means 1 gallon lost per minute

60 gallons in the tank so it will take 60 minutes to drain it completely

answer=1hr

Answer:

See image below.

I'm not 100% sure if this is allowed or not, someone please let me know if it is not.

Step-by-step explanation:

See image below

Answer:

± 11[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Given

x² + 11² = 22², that is

x² + 121 = 484 ( subtract 121 from both sides )

x² = 363 ( take the square root of both sides )

x = ± [tex]\sqrt{363}[/tex] = ± [tex]\sqrt{121(3)}[/tex] = ± 11[tex]\sqrt{3}[/tex]

Let's try all of the possible answer choices.

Any result that is even, we cross off the list. Otherwise we have our answer.

If c = -8, then c-8 = -8-8 = -16 which is even. Cross this off the list

If c = 0, then c-8 = 0-8 = -8, which is even. Cross this off the list.

If c = -5, then c-8 = -5-8 = -13, which is odd. We have our answer

If c = 10, then c-8 = 10-8 = 2, which is even. Cross this off the list

=============================================

Answer:

X-Intercept: (1.2,0)

Y-Intercept (0,.75)

Step-by-step explanation:

If you want fraction form then the

X-Intercept: (6/5,0)

Y-Intercept (0,3/4)

To find the x intercepts, you have to plug y=0 into the equation. After you plug in y=0, you get the equation 5x-9=-3 and once you solve that, you find that the x intercept = 1.2

Likewise, to find the y intercepts, you would plug x=0 into the equation. Once you do that, you get the equation -9=-8y-3 and when you solve for y you get an intercept of 3/4

Please Mark Brainliest ;)

Answer:

n>=1

Step-by-step explanation:

30-5n<=25

5n<=30-25

5n<=5

n<=5/5

n<=1

n>=1

Answer:

jessie is better

Step-by-step explanation:

45/3=15

$15 per hour

90/5=18

$18 per hour

Answer:

the correct answer is jessie charges jim the better price

Step-by-step explanation:

Answer:

[tex]\large\boxed{(-xy^4b^2)^4=x^4y^{16}b^8}[/tex]

Step-by-step explanation:

[tex](-xy^4b^2)^4\qquad\text{use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\=(-1)^4(x)^4(y^4)^4(b^2)^4=1x^4y^{(4)(4)}b^{(2)(4)}=x^4y^{16}b^8[/tex]

[tex](-xy^{4} b^{2} )^{4}[/tex] can be written as  x⁴y¹⁶b⁸.

Procedures must be made simpler in order to attain uniformity in efforts, expenses, and time. Variety and variation that is unnecessary, damaging, and unproductive are eliminated.

Given an equation  [tex](-xy^{4} b^{2} )^{4}[/tex]  in this, we need to find a monomial in standard form which can be optimized after putting the power back at every variable. hence,

[tex](-xy^{4} b^{2} )^{4}[/tex]  =  (-x)⁴(y⁴)⁴ (b²)⁴

=   x⁴y¹⁶b⁸

Therefore,  a monomial in the standard form  [tex](-xy^{4} b^{2} )^{4}[/tex] is   x⁴y¹⁶b⁸.

Learn more about simplification here:

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Answer:

3/4

Step-by-step explanation:

1 / (1/3) = 3

1/4 * 3 = 3/4

This is a cool one. Sequence 1 will approach negative infinity and Sequence 2 will approach 0 but never get to it!

Sequence 1 is an arithmetic sequence with a common difference of -16. Sequence 2 is a geometric sequence with a common ratio of 1/2.

Sequence 1 is an arithmetic sequence with a common difference of -16. Starting with 32, each term is obtained by subtracting 16 from the previous term. Sequence 2 is a geometric sequence with a common ratio of 1/2. Starting with 32, each term is obtained by multiplying the previous term by 1/2.

Sequence 1: 32, 16, 0, -16, ...
Sequence 2: 32, 16, 8, 4, ...

Statement 1: Sequence 1 is an arithmetic sequence. True.
Statement 2: Sequence 2 is a geometric sequence. True.
Statement 3: The common difference in Sequence 1 is 8. False. The common difference is -16.
Statement 4: The common ratio in Sequence 2 is 1/2. True.
Statement 5: The next term in Sequence 1 is -32. True. The next term is obtained by subtracting 16 from -16.
Statement 6: The next term in Sequence 2 is 2. True. The next term is obtained by multiplying 4 by 1/2.

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Live Fund receive [tex]\bold{\$2500 N}[/tex] it they sold half thier holding in Marks Brothers.

Solution:

Given: Sale price of Live Fund holding is 5000 dollar

To find: Amount that Live Fund will get if they sell half of their holding in Marks Brothers.

Assume the total holdings held by Live Fund in Marks Brothers as N

Therfore, half the number of shares or (half the holdings) of Live Fund will be [tex]\frac{N}{2}[/tex].

Thus, if each share is valued at [tex]\$5000[/tex], then the total value of the number of shares sold will be as follows,

[tex]\Rightarrow5000\times\frac{N}{2}\text{ dollars }\rightarrow\frac{5000\times N}{2}\text{ dollars }[/tex]

[tex]\Rightarrow2500 N\text{ dollars }[/tex]

Hence, Live Fund will receive [tex]\$2500 N[/tex]

Answer:

The amount of time it takes to ride 26 miles is 2.89 hours.

Step-by-step explanation:

Given : You ride your bike at 9 miles per hour.

To find : How long it will take you to ride 26 miles ?

Solution :

The equation given is [tex]9\times t=26[/tex]

Using distance formula,

[tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]

According to formula t represent the time taken to cover the distance.

Your speed in miles per hour is 9 miles per hour.

The number of miles you've traveled so far is 26 miles.

Solving the equation,

[tex]9\times t=26[/tex]

[tex]t=\frac{26}{9}[/tex]

[tex]t=2.89[/tex] hours

The amount of time it takes to ride 26 miles is 2.89 hours.

The first plant produces 5x + 26 more items daily than the second​ plant

Given that , A company has two manufacturing plants  

The daily production levels of one company is 7x + 19 items  

And daily production levels of another company is 2 x - 7 items

To find the number of items first plant produce more than the second plant, wed need to subtract the number of items produced by second plant from the the number of items produced by first plant.

Extra items produced by 1st plant = daily production of 1st plant - daily production of 2nd plant

Extra items produced count = 7x + 19 – (2x – 7)

= 7x + 19 – 2x + 7  

= 7x – 2x + 19 + 7 = 5x + 26  

Hence, the 1st plant produces 5x + 26 items more than 2nd plant

Answer:

Odds in against the team winning is 5 : 3

Step-by-step explanation:

Consider the provided information.

The odds against is the ratio of how many ways an outcome can't take place compared to how many ways it can take place.

Here the probability of winning its next match is 3/8.

That means total number of outcomes are 8.

Favorable outcomes are 3.

Therefore, the unfavorable outcomes are 8-3=5.

We need to find the odds against the team winning its next match.

Therefore, odds in against the team winning is 5 : 3

The probability of odds against the team winning is [tex]\frac{5}{8}[/tex]

To find the odds against the rugby team winning, subtract the probability of winning from 1 to get the probability of not winning and form a ratio of these probabilities, resulting in odds of 5:3 against the team winning.

The student is asking about the calculation of odds against a rugby team winning its next match given a certain probability of winning. First, we need to understand the probability of the team not winning (losing or drawing) because the odds against the team winning would be the ratio of it losing to it winning. Since the probability of winning is given as 3/8, the probability of not winning is 1 - 3/8 = 5/8. The odds against the team winning are therefore expressed as the ratio of the probability of not winning to the probability of winning, which is 5/8 to 3/8, or simply 5:3 when converted into odds format.

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Answer:

Step-by-step explanation:

no

(x +a)² + (y + b)² = r²

Since, a=0 and b=0, r=5, we get x²+ y²= 5².

So, x²+y² = 25

Answer:Include

Step-by-step explanation:

Multiply add and subtract the top. I can include the rest if you want

Answer:

The required number is 8.

Step-by-step explanation:

Given : If [tex]\frac{1}{2}[/tex] is subtracted from four times the reciprocal of a number, the result is 0.

To Find : The number ?

Solution :

Let the number be x.

The reciprocal of number is [tex]\frac{1}{x}[/tex]

[tex]\frac{1}{2}[/tex] is subtracted from four times the reciprocal of a number, the result is 0.

The equation will become,

[tex]4\times \frac{1}{x} - \frac{1}{2}=0[/tex]

Solving the equation we get,

[tex]\frac{4}{x} -\frac{1}{2}=0[/tex]

[tex]\frac{4}{x} = \frac{1}{2}[/tex]

[tex]x= 4\times 2[/tex]

[tex]x=8[/tex]

Therefore, the required number is 8.

Answer:

D

Step-by-step explanation:

6 - x = -12

subtract 6 from each side

6 - 6 - x = -12 - 6

-x = -18

divide each side by -1

-x / -1 = -18 / -1

x = 18

Answer:

The answer is D.) 18

Step-by-step explanation:

Subtract 6 from both sides. Divide both sides by −1. The answer is 18.

Answer:

120 i think i don't know

Step-by-step explanation:

Answer:

Step-by-step explanation:

The scatter plot is attached. There you can match the value assigned to $350,000.

Using a red line, we find that the answer is between 115 and 125, closer 125 than 115.

So, if you look all choices, there are two possibilities, C and D. However, $115 million can't be the right answer because our graphic approximation is closer to 125.

Therefore, the right answer is D) $120 million.

If the company were to spend $350,000 on advertising, the predicted sales would be $120 million.

Answer:

Step-by-step explanation:

no but you are very close

you forgot to put the x next to the -4

because if you left it like that than it would be a horizontal line going through the y-axis at -4

the x is very important since it is the input value while y is the output

so y depends on the x

Answer:

[tex]\displaystyle YES[/tex]

Step-by-step explanation:

The equation you modeled here is [tex]\displaystyle y = -4x,[/tex]where the y-intercept and x-intercept are both located at the origin. This is what is called direct variation.

I am joyous to assist you anytime.

*Just attach the x to the equation because leaving it out would form a horizontal line [zero rate of change (slope)].

Dimension of rectangular parking lot is width = 112.882 feet and length = 132.882 feet

Given that  

Area of rectangular parking lot = 15000 square feet

Length is 20 feet more than the width.

Need to find the dimensions of rectangular parking lot.

Let assume width of the rectangular parking lot in feet be represented by variable "x"

As Length is 20 feet more than the width,

so length of rectangular parking plot = 20 + width of the rectangular parking plot

=> length of rectangular parking plot = 20 + x = x + 20

The area of rectangle is given as:

[tex]\text {Area of rectangle }=length \times width[/tex]

Area of rectangular parking lot = length of rectangular parking plot [tex]\times[/tex] width of the rectangular parking

[tex]\begin{array}{l}{=(x+20) \times (x)} \\\\ {\Rightarrow \text { Area of rectangular parking lot }=x^{2}+20 x}\end{array}[/tex]

But it is given that Area of rectangular parking lot = 15000 square feet

[tex]\begin{array}{l}{=>x^{2}+20 x=15000} \\\\ {=>x^{2}+20 x-15000=0}\end{array}[/tex]

Solving the above quadratic equation using quadratic formula

General form of quadratic equation is  

[tex]{ax^{2}+\mathrm{b} x+\mathrm{c}=0[/tex]

And quadratic formula for getting roots of quadratic equation is

[tex]x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]

In our case b = 20, a = 1 and c = -15000

Calculating roots of the equation we get

[tex]\begin{array}{l}{x=\frac{-(20) \pm \sqrt{(20)^{2}-4(1)(-15000)}}{2 \times 1}} \\\\ {x=\frac{-(20) \pm \sqrt{400+60000}}{2 \times 1}} \\\\ {x=\frac{-(20) \pm \sqrt{60400}}{2}} \\\\ {x=\frac{-(20) \pm 245.764}{2 \times 1}}\end{array}[/tex]

[tex]\begin{array}{l}{=>x=\frac{-(20)+245.764}{2 \times 1} \text { or } x=\frac{-(20)-245.764}{2 \times 1}} \\\\ {=>x=\frac{225.764}{2} \text { or } x=\frac{-265.764}{2}} \\\\ {=>x=112.882 \text { or } x=-132.882}\end{array}[/tex]

As variable x represents width of the rectangular parking lot, it cannot be negative.

=> Width of the rectangular parking lot "x" = 112.882 feet  

=> Length of the rectangular parking lot = x + 20 = 112.882 + 20 = 132.882

Hence can conclude that dimension of rectangular parking lot is width = 112.882 feet and length = 132.882 feet.

Answer:

Yes, because 4 + 4 = 8 so it is the same as 7 × 8.

Answer:

Yes.

Step-by-step explanation:

This is because if using PEMDAS, you will see that (4+4) = 8.

That would mean that 7x(4+4) =7x8, and that Paulo is correct.

Answer:

Hope it helps :)

Step-by-step explanation:

Detailed answer in the attached file

Answer:

r=6

Step-by-step explanation:

4r+7=31

4r=31-7

4r=24

r=24/4

r=6

For this case we must solve the following system of equations:

[tex]3x-3y = -3\\2x-y = -5[/tex]

To solve we follow the steps below:

We multiply the second equation by -3:

[tex]-6x + 3y = 15[/tex]

Thus, we have the equivalent system:

[tex]3x-3y = -3\\-6x + 3y = 15[/tex]

We add the equations:

[tex]3x-6x-3y + 3y = -3 + 15\\-3x = -3 + 15\\-3x = 12\\x = \frac {12} {- 3}\\x = -4[/tex]

We look for the value of the variable "y":

[tex]2 (-4) -y = -5\\-8-y = -5\\-y = -5 + 8\\-y = 3\\y = -3[/tex]

Thus, the solution of the system is given by:

[tex](x, y): (- 4, -3)[/tex]

Answer:

[tex](x, y): (- 4, -3)[/tex]

Answer:

-5/2

Step-by-step explanation:

Slope = change in y over change in x or  (y2-y1)/(x2-x1)

slope = (-13-(-3))/(6-2) = -10/4 = -5/2

Answer:

m=-5/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-13-(-3))/(6-2)

m=(-13+3)/4

m=-10/4

simplify,

m=-5/2