Graph the linear function
f(x)=3-6x

Answer:

x = -2 or x = 1/3 thus: B & C

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 + 7 x - 2 = 2 x - x^2

Subtract 2 x - x^2 from both sides:

3 x^2 + 5 x - 2 = 0

The left hand side factors into a product with two terms:

(x + 2) (3 x - 1) = 0

Split into two equations:

x + 2 = 0 or 3 x - 1 = 0

Subtract 2 from both sides:

x = -2 or 3 x - 1 = 0

Add 1 to both sides:

x = -2 or 3 x = 1

Divide both sides by 3:

Answer: x = -2 or x = 1/3

Answer:

Simplify

1000*12

12000

Hope this was your question

Step-by-step explanation:

The rocks are chosen without replacement, which means that the hypergeometric distribution is used to solve this question. First we get the parameters, and then we answer the questions. From this, we get that:

Hypergeometric distribution:

The probability of x successes is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The mean and the variance are:

\(\mu = \frac{nk}{N}\)

\(\sigma^2 = \frac{nk(N-k)(N-n)}{N^2(N-1)}\)

We have that:

5 + 7 = 12 rocks, which means that \(N = 12\)

9 are chosen, which means that \(n = 9\)

7 are granite, which means that \(k = 7\)

Question a:

\(E(X) = \mu = \frac{9\times7}{12} = 5.25\)

\(Var(X) = \sigma^2 = \frac{9\times7(12-7)(12-9)}{12^2(12-1)} = 0.5966\)

Thus:

\(E(X) = 5.25, Var(X) = 0.5966\)

Question b:

Since there are only 5 specimens of basaltic rock, at least 9 - 5 = 4 specimens of granite are needed, which means that:

\(P(X < 6) = P(X = 4) + P(X = 5) + P(X = 6)\)

In which

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 4) = h(4,12,9,7) = \frac{C_{7,4}*C_{5,5}}{C_{12,9}} = 0.1591\)

\(P(X = 5) = h(5,12,9,7) = \frac{C_{7,5}*C_{5,4}}{C_{12,9}} = 0.4773\)

\(P(X = 6) = h(6,12,9,7) = \frac{C_{7,6}*C_{5,3}}{C_{12,9}} = 0.3181\)

Thus

\(P(X < 6) = P(X = 4) + P(X = 5) + P(X = 6) = 0.1591 + 0.4773 + 0.3181 = 0.9545\)

So P(X < 6) = 0.9545.

Question c:

5 of basaltic and 4 of granite: 0.1591 probability.

7 of granite is P(X = 7), in which

\(P(X = 7) = h(7,12,9,7) = \frac{C_{7,7}*C_{5,2}}{C_{12,9}} = 0.0455\)

0.1591 + 0.0455 = 0.2046, thus:

P(all specimens of one of the two types of rock are selected for analysis) = 0.2046.

A similar question is found at https://brainly.com/question/24008577

Answer:

The answer is 104 because as you can see the angle 126° is bigger than a° so the answer should be 104 :D

Answer: 44 miles

Step-by-step explanation:

Let's call the number of miles Kevin can travel "m". We can set up an equation using the given information:

4.25 + 0.47m ≤ 25

Solving for "m", we can begin by subtracting 4.25 from both sides:

0.47m ≤ 20.75

Then, divide both sides by 0.47:

m ≤ 44.15

Therefore, Kevin can travel at most 44 miles without exceeding his spending limit.

Answer:

50.8

Step-by-step explanation:

To find the mean, add the values, and then divide by the number of data points.

1. 47+47+26+73+61=254

2. 254/5=50.8

Answer:

42 \(\frac{1}{3}\)

Step-by-step explanation:

47+47+26+73+61=254

254÷6=42.333333 or 42 \(\frac{1}{3}\)

Answer:

z = 28

Step-by-step explanation:

Let's try this first:

6 = something - 1

Something = 7

Next:

We know that "something" is 1/4z

1/4z = 7

Divide both sides by 1/4 to isolate z

z = 28

Hope this helps :)

Have an awesome day!!

Z=28

first, add one to each side to eliminate the negative one. you'll get:

first, add one to each side to eliminate the negative one. you'll get:7= z

first, add one to each side to eliminate the negative one. you'll get:7= znow, to get rid of the 1/4, multiply both sides by 4.

first, add one to each side to eliminate the negative one. you'll get:7= znow, to get rid of the 1/4, multiply both sides by 4.(7x4)=(1/4z)4

first, add one to each side to eliminate the negative one. you'll get:7= znow, to get rid of the 1/4, multiply both sides by 4.(7x4)=(1/4z)4simplify to get 28=z.

Answer:

D. Between $305,000 and $307,000

Step-by-step explanation:

A. This is a result of finding 4,600(0.03 + 0.015).

B. This is a result of using the y-intercept for the cost function.

C. This is a result of incorrectly solving the equation 0.03x = 0.015x + 4,600 by dividing 4,600 by 0.03

instead of 0.015 in the final step.

D. This is a result of correctly solving the equation 0.03x = 0.015x + 4,600 ⇒ 0.015x = 4,600 then dividing

4,600 by 0.015 to get approximately 306,667.

Answer:

There are 250 students in the 6th grade.

Step-by-step explanation:

[] Let us do "number of students" over the percentage. We will use x as the total number of students in the 6th grade.

-> 35% and 100% can be divided by 100 to become decimals

Set up a proportion:

\(\frac{85}{0.34} =\frac{x}{1}\)

Cross multiply:

85 = 0.34x

Divide both sides by 0.34:

250 = x

Reflexive property:

x = 250

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer: the answer is $63.14.

Step-by-step explanation:

I took the test and got it correct.

Answer:

$63.14

Explanation:

I got it right on the test

Answer: 1,4,6

Step-by-step explanation:

https://quizlet.com/483245104/geometry-parallelogram-quiz-flash-cards/

Answer:

a. For the function:

f(x) = { sin x/3, if x ≤ π

{ x√3/2π, if x > π

I. To find lim f(x) as x approaches π from the negative side, we need to evaluate f(x) for values of x that are slightly less than π. In this case, since sin(x/3) is a continuous function, we can simply evaluate it at x = π:

lim f(x) as x approaches π- = f(π-) = sin(π/3) = √3/2

II. To find lim f(x) as x approaches π from the positive side, we need to evaluate f(x) for values of x that are slightly greater than π. In this case, we can simply evaluate the other part of the piecewise function at x = π:

lim f(x) as x approaches π+ = f(π+) = π√3/2π = √3/2

III. To find lim f(x) as x approaches π, we need to check whether the left-hand and right-hand limits are equal. In this case, since both the left- and right-hand limits exist and are equal, we have:

lim f(x) as x approaches π = √3/2

b. For the function:

f(x) = (x^2 - 36)/√(x^2 - 12x + 36)

I. To find lim f(x) as x approaches 6 from the negative side, we need to evaluate f(x) for values of x that are slightly less than 6. In this case, we can substitute x = 6 - h, where h is a positive number approaching zero, to get:

lim f(x) as x approaches 6- = lim f(6 - h) as h approaches 0

Substituting x = 6 - h into the function, we get:

f(6 - h) = [(6 - h)^2 - 36]/√[(6 - h)^2 - 12(6 - h) + 36]

= [h^2 - 12h]/√[h^2]

Simplifying the numerator and denominator separately, we get:

f(6 - h) = h(h - 12)/|h|

Since h approaches 0 from the positive side, we have:

lim f(6 - h) as h approaches 0+ = lim h(h - 12)/h as h approaches 0+ = lim (h - 12) as h approaches 0+ = -12

II. To find lim f(x) as x approaches 6 from the positive side, we need to evaluate f(x) for values of x that are slightly greater than 6. In this case, we can substitute x = 6 + h, where h is a positive number approaching zero, to get:

lim f(x) as x approaches 6+ = lim f(6 + h) as h approaches 0

Substituting x = 6 + h into the function, we get:

f(6 + h) = [(6 + h)^2 - 36]/√[(6 + h)^2 - 12(6 + h) + 36]

= [h^2 + 12h]/√[h^2]

Simplifying the numerator and denominator separately, we get:

f(6 + h) = h(h + 12)/|h|

Since h approaches 0 from the positive side, we have:

lim f(6 + h) as h approaches 0+ = lim h(h +

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

2x-9=12

2x=12+9

2x=21

x=21/2

x=10.5

Answer: $16,244.55

Step-by-step explanation: Multiply $19,100 by .19 to find the discount. Then subtract that number from the original to find the discounted price. Then multiply the discounted price by .5 to find the tax. Add the tax to the discounted price to find the discounted taxed price. This is the final price and is $16,244.55

Answer:

Rate in still water = 27 mph

Rate in the current =36 mph

Step-by-step explanation:

The rate is the speed the boat use to travel in the water

The distance travelled upstream = 108 miles

The time taken to travel upstream = 4 hours

The rate in still water /upstream = 108/4 = 27 mph

The rate in the current /downstream = 108/3 =36 mph

Answer:

Kerri

calculate z scores z= (x - xbar)/stdev

Kerri = 1.7

Cade = .7

Vincent = 1

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

urheheyfthxhzhditoiytdyifxzydzyfuyrzuysriduyrsute

Answer:

Step-by-step explanation:

y=kx²

y₁=k(1)²=k

y₃=k(3)²=9k

y₁-y₃=k-9k=32

-8k=32

k=-4

y=-4x²

y₋₂=-4(-2)²=-16

Answer:

Diameter- 60.42^2

Answer:

The center of the circle is the point (6,3)

Answer:

me too (help)

Step-by-step explanation:

The surface area of the solid is 281 ft².

Given that, a solid figure made of a rectangular prism and a square pyramid,

We need to find its surface area,

To find the same, we will find the lateral surface area of square pyramid, and total surface area of rectangular prism,

So,

Surface area = 2×side×slant height + 2(length·width+width·height+height·length)-base area of the square pyramid,

= 2×5×5 + 2(4·12+12·5+4·5)-5²

= 50+256-25

= 281 ft²

Hence the surface area of the solid is 281 ft².

Learn more about surface area click;

https://brainly.com/question/29298005

#SPJ1

Answer:

- 4

Step-by-step explanation:

Substitute x = - 2 into the expression

5x + 6 = 5(- 2) + 6 = - 10 + 6 = - 4

Answer:

yes

Step-by-step explanation:

Step-by-step explanation:      

Step 1: See Steps Below

3 4/9 - 1  1/6

= 31/9 - 1  1/6

= 31/9  - 7/6

= 41/18

= 2  5/18

Explanation in words:      

- The first step is to subtract whole numbers which are 3 - 1: 2  

- The second step is to combine the fractions 4/9 - 1/6: 5/18  

- The third step is to solve the fraction. So 2 + 5/18 = 2  5/18  

- The answer is 2  5/18

Easy Steps: See Attachment

Answer:  

2 5/18

(Decimal: 2.277778)

Hope this helps.

Answer:

d. \(\csc x +\cot x\)

Step-by-step explanation:

\(\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{1-\cos^2 x}=\frac{\sin x(1+\cos x)}{\sin^2 x}=\frac{1+\cos x}{\sin x}=\csc x+\cot x\)

Answer:

Part A: $3,415.50

B: 11.34%

Step-by-step explanation:

Part A: $31,000 is within the values 10,276≤x≤41,175, so use f(x)=0.12x-205.50

Part B: For the effective tax rate, divide the amount in part A by the taxable income

Part C: Compare both the taxable income and the effective tax rate to the income domains given and the % multiplier. This one is mostly about how you describe the situation, so I'll leave that up to you.

To calculate the taxes owed on a taxable income of $31,000, we use the appropriate equation for the tax bracket it falls into and substitute the value of x. The effective tax rate is calculated by dividing the amount of taxes owed by the taxable income and multiplying by 100. The piecewise function represents the marginal tax rate chart by using different equations for each tax bracket.

Part A:

To calculate the amount of taxes owed on a taxable income of $31,000, we need to determine which tax bracket it falls into. Since $31,000 is greater than $10,275 but less than $41,175, it falls into tax bracket 2. To find the amount of taxes owed, we use the equation for tax bracket 2: f(x) = 0.12x - 205.50. Plugging in $31,000 for x, we get:

f(x) = 0.12 * 31000 - 205.50 = $3,574.50

Therefore, the amount of taxes owed on a taxable income of $31,000 is $3,574.50.

Part B:

To determine the effective tax rate, we divide the amount of taxes owed by the taxable income. Using the result from Part A (taxes owed = $3,574.50) and the taxable income of $31,000, we have:

Effective tax rate = (taxes owed / taxable income) * 100 = (3,574.50 / 31,000) * 100 ≈ 11.52%

Therefore, the effective tax rate on a taxable income of $31,000 is approximately 11.52%.

Part C:

The piecewise function represents the amount of taxes owed as a function of the taxable income. Each part of the function corresponds to a different tax bracket, with the equation for that tax bracket. The marginal tax rate chart is represented in the piecewise function by the different equations for each tax bracket. For example, the equation in part 1 of the function (f(x) = 0.10x) corresponds to the 10% marginal tax rate for the tax bracket $0-$10,275.

Learn more about Taxes Calculations here:

https://brainly.com/question/16200743

#SPJ2

The statement that are consistent with the guidelines for hitching trailers are:

A. Trailers must be connected to the tow vehicle before loading.

D. Customer vehicles must have at least a frame mounted Class 3 receiver hitch with a 2" or 2 5/6" ball.

Option A: Because it guarantees that the weight of the cargo is evenly distributed and attached to the trailer before the vehicle is driven this recommendation is consistent with safe hitching techniques.

Option D: Because it guarantees that the trailer is securely fastened to the tow vehicle and can support the weight of the cargo this recommendation is consistent with safe hitching techniques. A 2" or 2 5/16" ball ensures the trailer is firmly fastened to the hitch and a Class 3 hitch is made to support the weight of heavier trailers.

Therefore the correct option is A and D.

Learn more about hitching trailers here:https://brainly.com/question/4295609

#SPJ1