What transformations take the graph of f(x)=e^x to f(x)=-e^x-2?

Answer: D

Explanation:

Since we don't know the y-value of the vertex, let's do this an easy way: plugging in.

Let's use the y intercept since that would be the easiest. Since x=0, the terms with x cancel, and you will get a leading result of -5

A) results in 2, so eliminate it

B) results in -2, so eliminate it

C) results in 5, so eliminate it

D) results in -5, so keep it

Since D was the only one that worked, that is our correct answer.

Answer:A:0

Step-by-step explanation:hope this helps :)

Answer:

always negative?

Step-by-step explanation:

-2^3=-8

Answer:

It is negative

Step-by-step explanation:

since you are multiplying the negative no. by itself an odd no. of times, your answer will be negative, b/c a negative no. multiplied an odd no. of times will be negative, and if it is multiplied an even no. of times it will be positive.

An equation highlighting the discount: y = (65 - 7)x

A simpler equation: y = 58x

Answer:

yup i know no nope

Step-by-step explanation:

a. The probabilities of winning for the given selections is 0.0024

b. The probabilities of winning for the given selections is 0.0012

c. The probabilities of winning for the given selections is 0.0006

d. The probabilities of winning for the given selections is 0.0004

What is probability?

Probability is a measure or quantification of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 represents an event that is impossible or will never occur, and 1 represents an event that is certain or will always occur .The closer the probability value is to 1, the more likely the event is to occur, while the closer it is to 0, the less likely the event is to occur.

To calculate the probability of winning in the given state lottery scenario, we need to determine the total number of possible outcomes and the number of favorable outcomes for each selection.

In this lottery, four digits are drawn at random one at a time with replacement from 0 to 9. Since replacement is allowed, the total number of possible outcomes for each digit is 10 (0 to 9).

a. Probability of winning if you select 6, 7, 8, 9:

Total number of possible outcomes for each digit: 10

Total number of favorable outcomes: 4! (4 factorial) = 4 * 3 *2 * 1 = 24

The probability of  total number of favorable outcomes divided by the total number of possible outcomes:

Probability of winning = \(\frac{24 }{10^4}=\frac{ 24}{10000} = 0.0024\)

b. Probability of winning if you select 6, 7, 8, 8:

Total number of possible outcomes for each digit: 10

Total number of favorable outcomes: \(\frac{4!}{2!}\) (4 factorial divided by 2 factorial) = \(\frac{4 * 3 * 2 * 1}{ 2 * 1}= \frac{24}{2} = 12\)

Probability of winning = \(\frac{12 }{10^4} = \frac{12 }{10000 }= 0.0012\)

c. Probability of winning if you select 7, 7, 8, 8:

Total number of possible outcomes for each digit: 10

Total number of favorable outcomes: \(\frac{4!}{2! * 2!}= \frac{4* 3 * 2 * 1}{2* 1 * 2 * 1} = \frac{24}{4} = 6\)

Probability of winning =\(\frac{6 }{10^4} = \frac{6}{10000} = 0.0006\)

d. Probability of winning if you select 7, 8, 8, 8:

Total number of possible outcomes for each digit: 10 Total number of favorable outcomes: \(\frac{4!}{3! * 1!}= \frac{4 * 3 * 2 * 1}{3 * 2 * 1 * 1} = 4\)

Probability of winning = \(\frac{4 }{10^4} = \frac{4}{10000 }= 0.0004\)

Therefore, the probabilities of winning for the given selections are: a. 0.0024 b. 0.0012 c. 0.0006 d. 0.0004

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The equation of the line is: y = 0.05x + 0.1.

A linear equation written in slope-intercept form is y = mx + b, where slope or unit rate is m, and y-intercept or starting value is b.

From the information given, we can derive the two points (3, 0.25) and (13, 0.75) if:

x = year

y = price per pound of apples

Find the slope (m) of the equation:

Slope (m) = change in y / change in x = 0.75 - 0.25 / 13 - 3

Slope (m) = 0.5 / 10

m = 0.05

Find y-intercept (b) by substituting m = 0.05 and (x, y) = (3, 0.25) into y = mx + b:

0.25 = 0.05(3) + b

0.25 = 0.15 + b

0.25 - 0.15 = b

b = 0.1

To write the linear equation, substitute m = 0.05 and b = 0.1 into y = mx + b:

y = 0.05x + 0.1

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Answer:

2x - 11

Explanation:

We multiply x by 2 which gives us 2x, then subtract it by 11 which gives us 2x - 11.

I hope this helps!! ^-^

Answer:

2x-11

Step-by-step explanation:

twice a number x= 2x

minus 11= (-11) after 2x

Answer:

g(x) = -2x - 2

Step-by-step explanation:

g(x) = f(x) - 1

= -2x - 2 {the pattern of function graph moving up and down}

Answer:

\(\£8:\£32\)

Step-by-step explanation:

\(\frac{40}{1+4}\)

\(\frac{40}{5}\)

\(=8\)

\(1:4\)

\(1 \times 8:4 \times 8\)

\(8:32\)

Answer:

Tim gets £8

Sam gets £32

Step-by-step explanation:

Ratio is 1:4

So, Total parts are 1+4 = 5

Dividing it by total parts

= \(\frac{40}{5}\)

= £ 8

So, Tim gets £8

But,

Sam gets 4(£8)

= Sam gets £32

Answer:B and D yes, A and C no

Step-by-step explanation:

pls brainliest

the probability that exactly one student out of 12 says they are a vegetarian is 0.1885, which is option A.

To solve this problem, we need to use the binomial distribution formula:

\(P(X=k) = (^nc_k) * p^k * (1-p)^{n-k}\)

where:
- X is the random variable representing the number of students who say they are vegetarians
- k is the number of students who say they are vegetarians (in this case, k=1)
- n is the total number of students selected (n=12)
- p is the probability that a student is a vegetarian (p=0.21)
- (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items and is calculated as: n! / (k! * (n-k)!)

Substituting the values given in the problem, we get:

\(P(X=1) = (12 choose 1) * 0.21^1 * (1-0.21)^{12-1}\\P(X=1) = 12 * 0.21 * 0.79^{11\\P(X=1) = 0.1885\)

Therefore, the probability that exactly one student out of 12 says they are a vegetarian is 0.1885, which is option A.

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The probability that exactly one student out of 12 is a vegetarian is approximately 0.1885.

To find the probability that exactly one out of 12 randomly selected students is a vegetarian, given that the probability

of a student being a vegetarian is 0.21, you can use the binomial probability formula.

The binomial probability formula is:

\(P(x) = C(n, x) × p^x × (1-p)^(n-x)\)

Where:
- P(x) is the probability of x successes (vegetarians) out of n trials (students)
- C(n, x) is the number of combinations of n items taken x at a time
- p is the probability of success (a student being a vegetarian, 0.21)
- n is the number of trials (12 students)
- x is the number of successes (1 vegetarian)

Using the formula, we get:

\(P(1) = C(12, 1) × 0.21^1 × (1-0.21)^(12-1)\)

C(12, 1) = 12 (since there are 12 ways to choose 1 vegetarian out of 12 students)

\(P(1) = 12 × 0.21^1 × 0.79^11 ≈ 0.1885\)

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Answer:

4 millimeters

Step-by-step explanation:

a radius is half of a diameter

Answer:

r = 4mm

Step-by-step explanation:

The radius is 1/2 of the diameter

r = 1/2 d

r =1/2 (8 mm)

r = 4mm

If b > a, then -a>-b and a²<b². The correct answers are option(A) and option(C)

To find which of the options are true, follow these steps:

Therefore, the correct options are option(A) and option(B)

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Answer: i have had this question before and got it right but i forgot i wish i could help

Step-by-step explanation:

The area of the frame is D. 252 in².

It should be noted that the frame 2 inches wide surrounds a painting that is 18 inches wide and 14 inches tall.

The area will be:

= Length × Width

= 18 × 14

= 252 in²

The area is 252 inches².

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Answer:

The answer is m=-2 or m=7.

Step-by-step explanation:

The steps to solve this equation are below:

Factor: to get (m+2)(m−7)=0.

m+2=0 or m−7=0

m=−2 or m=7. So, your answer is m=-2 or m=7.

Answer:

m = 7

m = -2

Step-by-step explanation:

ax^2 + bx + c

1m^2 - 5m - 14

a = 1

b = -5

c = -14

-b ± √b^2 - 4ac/2a

-(-5) ± √(-5)^2 - 4(1)(-14)/2(1)

5 ± √25 + 56/2

5 ± √81/2

5 ± 9/2

5 + 9/2

14/2 = 7

5 - 9/2

-4/2 = -2

Step-by-step explanation: Stretches and compression change the slope of a linear function.

If the line becomes steeper, the function has been stretched vertically or compressed horizontally.

If the line becomes flatter, the function has been stretched horizontally or compressed vertically.

Horizontal Stretch/Compression by a factor of b

f(x)→ f(1• f(x→f(1 bx) • b > 1 stretches away from the y-axis.

• 0 < |b| < 1 compresses toward the y-axis.

• y-intercepts remain the same.

Vertical Stretch/Compression by a factor of a

• f(x) → a f(x) • a > 1 stretches away from the x-axis.

• 0 < |a| < 1 compresses toward the x-axis.

• x-intercepts remain the same.Stretches and compression's change the slope of a linear function.

If the line becomes steeper, the function has been stretched vertically or compressed horizontally.

If the line becomes flatter, the function has been stretched horizontally or compressed vertically.

Horizontal Stretch/Compression by a factor of b

• f(x)→f(1 bx) • b > 1 stretches away from the y-axis.

• 0 < |b| < 1 compresses toward the y-axis.

• y-intercepts remain the same.

Vertical Stretch/Compression by a factor of a

• f(x) → a f(x) • a > 1 stretches away from the x-axis.

• 0 < |a| < 1 compresses toward the x-axis.

• x-intercepts remain the same.Stretches and compression change the slope of a linear function.

If the line becomes steeper, the function has been stretched vertically or compressed horizontally.

If the line becomes flatter, the function has been stretched horizontally or compressed vertically.

Horizontal Stretch/Compression by a factor of b

• f(x)→f(1 bx) • b > 1 stretches away from the y-axis.

• 0 < |b| < 1 compresses toward the y-axis.

• y-intercepts remain the same.

Vertical Stretch/Compression by a factor of a

• f(x) → a f(x) • a > 1 stretches away from the x-axis.

• 0 < |a| < 1 compresses toward the x-axis.

• x-intercepts remain the same.

The three possible values for a are:

a = -5^(1/3)/2

a = (5^(1/3)/4) - (5^(1/3)/4)isqrt(3)

a = (5^(1/3)/4) + (5^(1/3)/4)isqrt(3)

To find the coefficient of x^3 in the expansion of (2+x)(3-ax)^4, we can use the binomial theorem or Pascal's triangle to expand the expression.

However, since we are only interested in the coefficient of x^3, we can use the following approach:

The coefficient of x^3 in the expansion of (2+x)(3-ax)^4 will be the sum of the products of the coefficients of x and x^3 in the two factors, i.e.,

coefficient of x^3 = (coefficient of x in 2+x) * (coefficient of x^3 in (3-ax)^4) + (coefficient of x^3 in 2+x) * (coefficient of x^2 in (3-ax)^4)

The coefficient of x in 2+x is 1, and the coefficient of x^3 in (3-ax)^4 can be found using the binomial theorem:

coefficient of x^3 in (3-ax)^4 = (4 choose 3) * (3)^1 * (-a)^3 = -36a^3

The coefficient of x^3 in 2+x is 0 since there is no x^3 term in 2+x.

The coefficient of x^2 in (3-ax)^4 can also be found using the binomial theorem:

coefficient of x^2 in (3-ax)^4 = (4 choose 2) * (3)^2 * (-a)^2 = 54a^2

Substituting these values into the equation above, we get:

30 = 1 * (-36a^3) + 0 * 54a^2

Simplifying, we get:

-36a^3 = 30

Dividing both sides by -36, we get:

a^3 = -5/6

Taking the cube root of both sides, we get:

a = -5^(1/3)/2

This is one possible value for a.

Since a^3 = (-5/6) has three cube roots (one real and two complex), there are two more possible values for a, which can be found by multiplying the real cube root by the complex cube roots of unity (which are -1/2 + isqrt(3)/2 and -1/2 - isqrt(3)/2):

a = (-5^(1/3)/2) * (-1/2 + i*sqrt(3)/2) = (5^(1/3)/4) - (5^(1/3)/4)isqrt(3)

a = (-5^(1/3)/2) * (-1/2 - i*sqrt(3)/2) = (5^(1/3)/4) + (5^(1/3)/4)isqrt(3)

Therefore, the three possible values for a are:

a = -5^(1/3)/2

a = (5^(1/3)/4) - (5^(1/3)/4)isqrt(3)

a = (5^(1/3)/4) + (5^(1/3)/4)isqrt(3)

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Given:

Required:

To find the value of nr.

Explanation:

The Snell's law is

Answer:

115.7 km/h

Step-by-step explanation:

velocity = distance/time

velocity = (0.9 km)/(28 s) = 0.032143 km/s

The velocity is 0.032143 k/s. The question is answered, but since km/s is not a common unit of speed, we can convert to a more common unit of speed such as km/h.

velocity = (0.9 km)/(28 s)[(3600 s)/(1 h)] = 115.7 km/h

The time taken by the planes when they are 2000 miles apart is 2 hours.

We all know that formula of distance, speed and time is given by  distance = speed*time or time = distance/speed

Let x be the number of hours that the two planes will be 2000 miles apart.

Let 430x be the distance traveled by the first plane at 430 miles per hour

and 570x be the distance traveled by the second plane at 570 miles per hour.

here, 430x +570x =2000 is the total distance travelled by the first plane and the second plane

Solving yields the following steps:

1000x = 2000

Dividing 1000 to both sides of the above equation, we get

1000x/1000=2000/1000

So the value of x will be equivalent to 2

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Answer:

8 months

Step-by-step explanation:

The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
The Sequences 8, 11, 14,...

first term a = 8
common difference = 11 - 8 = 3

Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3

Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

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Systematic sampling offers several advantages. It is relatively easy to implement and eliminates bias that may arise from the subjective selection of participants.

The sampling method described in the scenario is called systematic sampling.

Systematic sampling involves selecting every nth element from a population after randomly selecting a starting point. In this case, the store manager randomly chooses a shopper entering the store as the starting point and then proceeds to interview every 20th person after that initial selection.

Systematic sampling offers several advantages. It is relatively easy to implement and eliminates bias that may arise from the subjective selection of participants. By ensuring a regular interval between selections, systematic sampling provides a representative sample from the population.

However, it's important to note that systematic sampling can introduce a form of bias if there is any periodicity or pattern in the population. For example, if the store experiences a peak in customer traffic during specific time periods, the systematic sampling method might overrepresent or underrepresent certain groups of shoppers.

To minimize this potential bias, the store manager could randomly select the starting point for the systematic sampling at different times of the day or on different days of the week. This would help ensure a more representative sample and reduce the impact of any inherent patterns or periodicities in customer behavior.

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Answer:

Step-by-step explanation:

c) corresponding angles postulate

The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3).

To determine the x-intercept, let y = 0 and solve for x in the equation y = 3x - 1.

Substitute 0 for y in the equation.0 = 3x - 1

Add 1 to both sides1 = 3x

Divide both sides by 3x = 1/3

The x-intercept of the line is (1/3, 0).

To find the y-intercept, let x = 0 and solve for y in the equation y = 3x - 1.

Substitute 0 for x in the equation.y = 3(0) - 1y = -1

The y-intercept of the line is (0, -1).

Therefore, the x-intercept is (1/3, 0), and the y-intercept is (0, -1).

Therefore, The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3). The calculation above supports the conclusion.

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