Which graph represents the following system of inequalities.

Answer:

y= -2/3x+490

slope: -2/3

y-intercept: 490

Step-by-step explanation:

Y-intercept form is y=mx+b, so you would first subtract 2x from both sides to get 3y= -2x+1,470. Then you divide both sides by 3, to get y= -2/3x+490. -2/3 is in the place of m, so it is the slope, and 490 is in the place of b, so it is the y-int.

Answer:

2x+3y =1470

slope intercept form

y=mx+b

2x+3y =1470

subtract 2x from each side

3y = -2x+1470

divide by 3

y = -2/3 x +1470/3

y = -2/3x +490

slope = -2/3

y intercept = 490

Answer:

Option B

Step-by-step explanation:

Here we have to apply " combination and permutation. " It is given that the drama club had to choose three booths from a selection of 9, considering the possible ways to choose so. This is a perfect example of combination. In nCr, n corresponds to 9, respectively r corresponds to 3.

[tex]\mathrm{n\:choose\:r},\\nCr=\frac{n!}{r!\left(n-r\right)!},\\\\\frac{9!}{3!\left(9-3\right)!} =\\\frac{9!}{3!\cdot \:6!} =\\\\\frac{9\cdot \:8\cdot \:7}{3!} =\\\frac{504}{6} =\\\\84\\\\Solution = Option B[/tex]

Hope that helps!

Answer:

B. 84 is correct.

I did the quiz.

Answer:

x = 155

Step-by-step explanation:

155 and x are alternate exterior angles and alternate exterior angles are equal when a and b are parallel

x = 155

Answer:

Option C is correct.

The standard deviation of B is greater.

Step-by-step explanation:

Distribution A is given

A = {91, 94, 89, 93, 87, 92, 86, 87, 92, 91}

Then distribution B is all of distribution A including the percentage for the package where the least kernels popped

B = {74, 91, 94, 89, 93, 87, 92, 86, 87, 92, 91}

Taking the statements one at a time

- The mean of A is the same as the mean of B.

Mean = (sum of variables)/(sample size)

It is evident that most of the percentages in distribution A hover around a consistent spot, hence, the mean too will land around that consistent spot. The mean of distribution A as calculated = (902/10) = 90.2

Mean of distribution B should hover around that spot too, but a new addition of 74 is expected to bring the mean down.

Mean of distribution B = (976/11) = 88 73

Hence, statement 1 is incorrect as the mean of A isn't the same as the mean of B.

- Including the percentage for the package where the least kernels popped causes the center of the data to increase.

The center of the data is synonymous with the mean and it is evident that this centre doesn't increase after including the percentage for the package where the least kernels popped causes the center of the data to increase, rather, it drops from 90.2 to 88.73.

Hence, this statement is false.

- The standard deviation of B is greater

Standard deviation measures how far away from the mean the variables of the distribution are. And since we've established that the variables of distribution A hover around a spot, hence, the stamdard deviation is expected to be small. But distribution B has all of the variables of distribution A plus a value that is very far away from the Mean (74), hence, it is easy to see that distribution B will have the greater standard deviation. Let us now calculate.

Standard deviation = σ = √[Σ(x - xbar)²/N]

x = each variable

xbar = mean

N = Sample size

Standard deviation for distribution A = 2.638

Standard deviation for distribution B = 5.293

Hence we can conclude that this statement is true and the standard deviation of distibution B is greater.

Hope this Helps!!!

Answer:

A. To add like terms, add the coefficients, not the variables.

C. The simplified expression is 4 x + 3 y + 6 z.

D. Only combine terms which contain the same variable.

Facts could be applied to simplify the expression to add like terms, add the coefficients, not the variables.

We have to determine the steps involved to simplify the expression.

An expression is a set of terms combined using the operations addition, subtraction, multiplication, and division.

For simplifying the expression this expression.

A. To add like terms, add the coefficients, not the variables.

C. The simplified expression is 4 x + 3 y + 6 z.

D. Only combine terms which contain the same variable.

Therefore by applying the above steps we can simplify the given expression.

To learn more about the expression visit:

https://brainly.com/question/723406

Answer:

Dosage= 500 mg

Frequency= twice a day (every 12 hours)

Duration= 10 days

Number of dosage= 10*2= 20

residual drug amount after each dosage= 4.5%

We can build an equation to calculate residual drug amount:

As per the equation, the higher the t, the greater the residual drug amount in the body.

Maximum drug will be in the body:

Maximum drug will be in the body right after the last dose, when the amount will be:

Answer:

C. G(x) is a negative number with a small absolute value

Step-by-step explanation:

As x increases, G(x) goes towards 0 from the a negative quadrant.

Answer:

The correct option are;

1) Could not

2) Is

Step-by-step explanation:

The parameters given are;

The survival rate of drivers using seat-belt = 67%

The survival rate of drivers not using seat-belt = 41.5%

The chance of getting the survival rate results without a correlation with the use of seat-belt < 0.0001

Given that the chance of obtaining the given survival rates without the seat-belt having an effect on survival rate is less than 0.01 percent we have;

The probability shows that the sample results could not have occurred by chance. It appears that there is sufficient evidence to conclude that seat-belts do have an effect on survival rate.

Answer:

= 2y^2+18y+6/  y^3+8y^2+13y+6

Step-by-step explanation

Answer:

2(y^2+9y+3 / (y+1)^2(y+6)

Step-by-step explanation:

To solve this -->

Fraction --> Find the LCD -->

Combine all

Answer:

a = 6

b = 3

c = 64

d= 64

Step-by-step explanation:

1. Apply the quotient of powers:

[tex](-2)^a / 4^b[/tex]

In the given expression:

[tex]4^5(-2)^9/4^8(-2)^3[/tex]

base same then the powers are subtracting if the bases are in numerator and denominator

i.e [tex]a^m/a^n = a^{m-n}[/tex]

Solving:

[tex]=(-2)^{9-3}/4^{-5+8}\\=(-2)^6/4^3[/tex]

therefore, the values of a and b are: a = 6

b = 3

2. Evaluate Powers

c/d

We have

[tex](-2)^6/4^3[/tex]

When power is even negative sign changes into plus sign

64/64

Therefore, we get the values of c and d

c = 64

d= 64

Answer:

a = 6

b = 3

c = 64

d= 64

Step-by-step explanation: i got it right

Answer:

No solution

Step-by-step explanation:

Either you set them equal to each other or use system of linear equations, the answer will be no solution. That is because these 2 lines are parallel.

If the question is 2x + 1 < 10

Step 1: Isolate x

2x < 9

Step 2: Divide both sides by 2

x < 9/2

x < 4.5

Answer:

The correct options are;

a: line AB Is a diameter of circle O is the b: midpoint of AB

Step-by-step explanation:

Given that the circle with circumscribes the triangle, we have;

The definition of the circle allows either its radius or center to be specified, in this case, the on pint specified is O which would be the center

Given that from the options, we have AO and Ob , therefore, the line AB passes through the center and the correct option is a. line AN is a diameter of circle O is the b. midpoint of AB.

Answer:

line AB

midpoint

Step-by-step explanation:

Answer:

Meena's is 5 and her father is 30

Step-by-step explanation:

x+5+6x+5=2x+6x+5

x+6x-2x-6x=5-5-5

-x =-5

x =5 Meena

6*5

=30 Her father's age

Have a good day and stay safe!

Answer:

D. -√3/2

Step-by-step explanation:

Remember your unit circle.

Alternatively, you can plug in cos(7π/6) into your calc (Put it in rad mode) and calculate your answer.

Answer:

D. -√3/2

Step-by-step explanation:

Answer:

2 events are mutually exclusive when they cannot both occur simultaneously. 2 events are mutually inclusive when they can both occur simultaneously. The possible results of 1 trial of a probability experiment. ... When everyone or everything in a population has an equal chance of being selected.

Two events are mutually exclusive if they cannot occur at the same time. Another word that means mutually exclusive is disjoint. If two events are disjoint, then the probability of them both occurring at the same time is 0.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

First off since it is equal to 28, it means the equation is trying to add numbers that equal to 28

Secondly, the 11 is not linked to a variable like 11y or 11b etc. It means the 11 stays put, no situation is changing that 11 number.

The x is what can be changed, hence referred to as variable. That is some amount that needs to be spent so in addition with 11, it totals to 28

Answer:

The first choice

Step-by-step explanation:

Answer:

x = 5.25

Step-by-step explanation:

width = x

length = (x + 8)

length that overlaps with width = (x + 8) - x = 8

perimeter (clockwise)

= 90

= x + 8 + (x + 8) + x + (x + 8) + x + 8 + (x + 8) + x + (x + 8)

= 8x + 6(8)

= 8x + 48

8x + 48 = 90

8x = 42

x = 5.25

Answer:

x(x+2)^2

Step-by-step explanation:

x^-3 +2x^2 +x

Taking x as common

x(x^2+2x+1)

x[(x)^2+2(x)(1)+(1)^2]

x(x+2)^2

I hope it will help you

Answer:

-4n³ - 8n² - 4n

Step-by-step explanation:

Answer: The largest angle formed during his trip is at the mall between his home and the library.

Step-by-step explanation:

Hi, since the situation forms a right triangle (see image attached) the angle formed between his home and the library is 90°.

The sum of the interior angles of a right triangle is 180°, and the right angle (90°)is the largest angle formed.

So, the largest angle formed during his trip is at the mall between his home and the library.

Feel free to ask for more if needed or if you did not understand something.

Answer:

D

Step-by-step explanation:

Answer:

The answer is b I believe

Step-by-step explanation:

Answer:

Step-by-step explanation:

A. 2x-4

B. x+y

C. x+6 ≤20

Answer:

$3.77 * 10^7

Step-by-step explanation:

$35,200,000 + $2,500,000 = $37,700,000 = $3.77 * 10^7

Answer:

A.

Step-by-step explanation:

There are 3 ft in a yd. That means if we have 1 ft left over, then we have 1/3 yd left over. Add that to our 1 yd and we get 1 1/3 yds

Answer:

Options (1), (3), and (5)

Step-by-step explanation:

In the figure attached,

An inequality has been graphed and the shaded region shows its solutions.

Inequality : y < 0.5x + 2

If the given points in the options lie in the shaded region, point will satisfy the inequality.

For (3, -2)

-2 < 0.5(3) + 2

-2 < 3.5 [True]

Therefore, (3, -2) point is the solution.

For (-2, 1)

1 < 0.5(-2) + 2

1 < -1 + 2

1 < 1 [Not true]

Therefore, (-2, 1) is not the solution.

For (-1, -2)

-2 < 0.5(-1) + 2

-2 < 1.5 [True]

Therefore, (-1, -2) is the solution.

For (-1, 2)

2 < 0.5(-1) +2

2 < 1.5 [Not True]

Therefore, (-1, 2) is not the solution.

For (1, -2)

-2 < 0.5(1) + 2

-2 < 2.5 [True]

Therefore, (1, -2) is the solution.

Options (1), (3) and (5) will be the answer.

Answer:

A, C, and E

Step-by-step explanation: Rate it 5 stars and give it a thanks. I took the test you can comment a question i will answer back.

Answer:

0.07% probability of selecting all students

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the jury is selected is not important, so we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

What is the probability of selecting all students?

Desired outcomes:

8 students from a set of 12. So

[tex]D = C_{12,8} = \frac{12!}{8!4!} = 495[/tex]

Total outcomes:

8 people from a set of 12+12 = 24. So

[tex]T = C_{24,8} = \frac{24!}{8!16!} = 735471[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{495}{735471} = 0.0007[/tex]

0.07% probability of selecting all students

Answer:

y=15

Step-by-step explanation:

im guessing you meant 9:y = 3:5

(9*5)/y = 15

Answer:

The last option

Step-by-step explanation:

You can tell by looking at the title of the x-axis. The domain is all x-values. So, the domain are the number of months.

Answer:

A shift to the right 8 units

Step-by-step explanation:

Remember to take the opposite of the sign when you are moving horizontally. The -8 signifies that it will be moving right 8 units instead of left.