The graph of the function f(x) = (x – 4)(x + 1) is shown below.
On a coordinate plane, a parabola opens up. It goes through (negative 1, 0), has a vertex at (1.75, negative 6.2), and goes through (4, 0).
Which statement about the function is true?
The function is increasing for all real values of x where
x < 0.
The function is increasing for all real values of x where
x < –1 and where x > 4.
The function is decreasing for all real values of x where
–1 < x < 4.
The function is decreasing for all real values of x where
x < 1.5.
Answers
the funcn is decreasing for all real values of x where x<1.5
Related Questions
The value of a coin in 2010 was $40. The value of the coin has increased in value at a rate of 16.9% annually.
What was the value of the coin in 2019?
Enter your answer in the box rounded to the nearest dollar.
Answers
The value of the coin in 2019 would be approximately $132.
To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.
Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:
Value in 2019 = Initial value * (1 + Rate)^n
where Rate is the annual increase rate and n is the number of years between 2010 and 2019.
Plugging in the values:
Value in 2019 = $40 * (1 + 0.169)^9
Value in 2019 ≈ $40 * 2.996
Value in 2019 ≈ $119.84
Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.
However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.
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There's another silence as Steve looks toward the crowd and then toward Tommy. He wears a tight grin.
STEVE
Based on the clues in this passage, what will most likely happen next?
• The neighbors will stop doubting Tommy.
Well, I guess what we'd better do then is to run a check on the neighborhood and see which ones of us are really human.
• The neighbors will stop taking Steve seriously.
• The neighbors will continue to joke about the situation.
There's laughter at this, but it's a laughter that comes
from a desperate attempt to lighten the atmosphere. It's a • The neighbors will begin checking to see who is release kind of laugh.
really human.
36. GROUP SHOT - THE PEOPLE 36.
As they look at one another in the middle of their laughter.
-The Monsters Are Due on Maple Street,
Rod Serling
Answers
Answer:
5
Step-by-step explanation:
Identify the type of function represented by f(x)= 3(1.5)*.
A. Quadratic
B. Exponential decay
C. Linear
D. Exponential growth
Answers
By checking the definitions of typical functions, we conclude that the function f(x) = 3 · 1.5ˣ is an exponential growth function. (Correct answer: D)
How to determine the nature of the function
In this question we must determine the kind of function according to its characteristics based on definitions of typical functions, which are represented below:
Quadratic
y = a · x² + b · x + c
This function is reduced into a linear function when a = 0.
Exponential
\(y = a \cdot b^{c\cdot t}\)
Where:
c > 0 - Exponential growth.c < 0 - Exponential decay.By checking the definitions of typical functions, we conclude that the function f(x) = 3 · 1.5ˣ is an exponential growth function. (Correct answer: D)
Remark
The statement is poorly formatted. The correct statement is presented below:
Identify the type of function represented by f(x) = 3 · 1.5ˣ:
A. Quadratic
B. Exponential decay
C. Linear
D. Exponential growth
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3. You have a bad cough and have to attend your little sister's choir concert. You take cough drops that contain 100 mg of menthol in each drop. Every minute, the amount of menthol in your body is cut in half. Write a funetion that models the amount of menthol in your body over time. Use x for minutes and y for the amount of menthol, in mg, remaining in your body It is safe to take a new cough drop after the level of menthol in your body is less than 5 mg, How long will it be before you can take another cough drop?
Answers
We have the next information
100 mg of menthol
every minute the amount of menthol in your body is cut in half
we have the next variables
x= minutes
y= amount of menthol in mg remaining in your body
so the equation that can we model is
\(y=100(0.5)^x\)then we have that It is safe to take a new cough drop after the level of menthol in your body is less than 5 mg
y= 5mg
\(5=100(0.5)^x\)in order to know the time we need to solve the equation above
\(\begin{gathered} (0.5)^x=\frac{5}{100} \\ (0.5)^x=0.05 \end{gathered}\)then we isolate the x
\(x=4.32\)after 5 minutes you can take another cough drop
Assuming that a person going to community college can't afford to go to a four-year college is an example of a) a generalization. b) discrimination. O c) a stereotype. O d) tolerance.
Answers
Answer:
a) generalization
Step-by-step explanation:
The statement is an example of a generalization. This is because the statement is assumming that all individuals who go to community college are poor. Therefore, this is why they cannot go to a four-year college, and instead go to a community college which is far cheaper. This assumption is being applied to all individuals who attend community college, without any further or more-specific information about each individual, therefore generalizing the entire situation.
Austin walks 1/3 of the way to school and stopped to rest. Devyn walks 2/6 of the way to the school and stops to rest who traveled further
Answers
Answer:
Austin and Devyn.
Step-by-step explanation:
1/3 and 2/6 are equal fractions.
13x-1=9x-13 what is x
Answers
13x-1=9x-13
4x=-12
Identify the values of a, b, and c in the following quadratic equation 2x^2-3x+5
a=
b=
c=
Answers
Answer:
somone in my class is literally a new York rat
Step-by-step explanation:
A boy has 10 cookies. His sister has 2.5 times as many. How many does the sister have?
Make a Selection:
A.
12.5
B.
20.5
C. 25
D. 25.5
NE
Answers
Answer:
C. 25
Step-by-step explanation:
sister's cookies = 2.5* boy's cookies
sisters cookies = 2.5 * 10
sister's cookies = 25
What represents 5. X=15
Answers
Answer:
X=3
Step-by-step explanation:
5x3=15
There are 20 girls
and 12 boys in a class.
What would be the probability of
randomly selecting a girl? (Decimals please)
Answers
Answer: 240
Step-by-step explanation:
Suppose in a math class of 22 students, 14 are boys and 8 are girls. ... for a girl you have a 8 out of 22 students chance....for an A you have an additional ... 8/22+4/22 = 12/22 = 6/11. for a boy there is a 14 out of 22 chance of being a boy and an ... 14/22 + 6/22 = 20/22= 10/11 ... How to display latex properly
A statement is made about correlation. State whether the correlation is positive or negative and whether the correlation is most likely due to coincidence, a common underlying cause, or a direct cause.
As Thomas's income rose over the last 20 years so has his stress level.
Select one:
A.
Positive correlation; direct cause
B.
Negative correlation; common underlying cause
C.
Positive correlation; common underlying cause
D.
Positive correlation; coincidence
Answers
Based on the statement about Thomas's income rising along with his stress income, the correlation and cause is C. Positive correlation; common underlying cause.
What is a positive correlation?Positive correlation between two variables means that they move in the same direction. When one of the variables increases, the other variable increases as well. When one variable decreases, the other variable decreases too.
The income level of Thomas is increasing at the same time the stress is increasing so this is a positive correlation.
A higher Income level might lead to more work and responsibilities which is most likely the common underlying cause for the positive correlation.
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Are the experimental probabilities after 300 trials closer to the theoretical probabilities?
Answers
After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.
To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.
Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.
Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.
Experimental probability of heads: 160/300 = 0.5333
Experimental probability of tails: 140/300 = 0.4667
Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.
In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.
To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.
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The question probable may be:
Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.
Find the mean of these numbers:
2,57, 38, 42,6
Answers
Answer:no
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
add all of those numbers and divide it by the value of how many numbers there are in total.
Sumita buys a set of earphones for £12.17. She pays with £15. How much change does she get? Give your answer in £.
Answers
She will get $8.01. Hope this helped.
Use the graph to answer the question. Graph of triangle ABC with vertices at negative 4 comma negative 4, 3 comma negative 3, 0 comma negative 10. A second triangle A prime, B prime C prime with vertices at 4 comma negative 4, 3 comma 3, 10 comma 0. Determine the direction and degree of rotation used to create the image. 90° counterclockwise rotation 90° clockwise rotation 270° counterclockwise rotation 180° clockwise rotation
Answers
The direction of rotation used to create the image is 90° counterclockwise rotation. To determine the direction and degree of rotation used to create the image, we can compare the positions of the vertices of the original triangle ABC with the corresponding vertices of the image triangle A' B' C'.
Let's analyze the changes in the coordinates of the vertices.
Original Triangle ABC:
A(-4, -4)
B(3, -3)
C(0, -10)
Image Triangle A' B' C':
A'(4, -4)
B'(3, 3)
C'(10, 0)
By comparing the coordinates, we can observe that the image triangle has undergone a 90° counterclockwise rotation.
To determine this, we can focus on a single vertex, such as A. The original point A(-4, -4) has been rotated counterclockwise by 90° to its new position A'(4, -4). This rotation is evident in the change of sign for the y-coordinate (-4 to -4) and the swapping of the x-coordinate (-4 to 4). This pattern is consistent across all three vertices.
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Answer:
Counterclockwise rotation of 90° about the origin
To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
Answers
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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Determine which integer in the solution set will make the equation true.
3s − 12 = −9
S: {−1, 0, 1, 2}
A: −1
B: 0
C: 1
D: 2
Answers
Answer:
c) 1
Step-by-step explanation:
Solving for the value of s,
→ 3s - 12 = -9
→ 3s = -9 + 12
→ s = 3/3
→ [ s = 1 ]
Thus, option (c) is correct.
Alexa spins a spinner that is divided into 6 equally sections: 2 red, 1 green, and 3 blue. What is the probability that Alexa spins a red or green?
Answers
Answer:
probability = 1/2 or 50%
Step-by-step explanation:
number of red + number of green = 2 + 1 = 3
Probability of landing on a red or green = 3/6 = 1/2
Red
Step-by-step explanation:Red
QUESTION 4 PATTERNS, FUNCTIONS AND ALGEBRA 1. Given 6x³-8x³+2+9x7-4x a. How many terms are there in the polynomial? State the degree of the polynomial c. Determine the value of the polynomial if x=-1 b.
Answers
Answers:
a) There are 5 termsb) Degree = 7c) The value is -1==========================================
Explanation:
a) Each term is separated by a plus or a minus.b) The degree is equal to the largest exponent. This applies to single variable polynomials only.c) Replace each x with -1. Then use the order of operations PEMDAS to simplify. You should get -1 as the answer. Use a calculator to confirm. It is a coincidence that we have the same input and output. This will not always happen with any general polynomial function.I have 3 red balls, 3 blue balls and 3 yellow balls in a box. Total of 9 balls. Let's say that I randomly pick 3 balls, what are the chances of having at least 2 red balls in the 3 that I picked?
Answers
The probability of having at least 2 red balls in the 3 that I picked will be 1/3.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
I have 3 red balls, 3 blue balls, and 3 yellow balls in a crate. All out of 9 balls.
If the three balls are picked randomly, then the probability of having at least 2 red balls in the 3 that I picked will be given as,
P = 3/9
P = 1/3
The probability of having at least 2 red balls in the 3 that I picked will be 1/3.
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.HELPPPPPPPPPPPPPPPPP
Answers
Answer:
\(\textsf{Choice A } \quad y = \dfrac{5}{3}x + 1\)
Step-by-step explanation:
Slope intercept form of a line equation is
y = mx + b
where
m = slope
b = y-intercept
A perpendicular line to y = mx + b will have a slope of -1/m
Let's first find the equation for line z in slope-intercept form
Slope m for a line = (y2- y1)/(x2 - x1) where x1, y1 and x2, y2 are two points on the line
Slope of line z is
\(m = \dfrac { 2 - (-1) }{-2 - 3} = \dfrac{3}{-5} = - \dfrac{3}{5}\)
So line z will have an equation of the form
\(y = -\dfrac{3}{5}x + b\)
We know that a line perpendicular to this line will have a slope of
\(- \dfrac{1}{-\dfrac{3}{5}} = \dfrac{5}{3}\)
So the equation of the perpendicular line is
\(y = \dfrac{5}{3}x + b\)
Only one of the 4 choices, name choice A has this slope of 5/3
Therefore the correct answer choice is A
There is no need to compute b, the y intercept but if you wanted to, this is how you would do it:
The perpendicular line passes through (3, 6). This means when x = 3, y =6
Substitute these values of x, y into the equation for the perpendicular line and solve for b
\(y = \dfrac{5}{3}x + b\\\\\text{When x = 3, y = 6}:\\\\6 = \dfrac{5}{3} \cdot 3 + b\\\\6 = 5 + b\\\\b = 6 - 5 = 1\\\\\text{So, the equation of the perpendicular line is }\\y = \dfrac{5}{3}x + 1\)
This corresponds to Choice A
The bell on the clock tower rings every 15 minutes. If the bell has rung 24 times, how many minutes have passed?
Amber chose A. How did she get that answer?
Answers
Work:
Bell rings every 15 min
It ringed 24 times
15 min x 24 = 360min = 15 days
The cost of the average ticket for a hockey game from 2001 to 2011 is recorded
on the graph below. A data scientist created a line of best fit to model the relationship, with an equation of y = 3x + 22. Based on this equation and assuming that the price trend continues, which of the following is the best estimate for the price of hockey tickets in 2013?
Answers
Answer: it’s $38.00
Step-by-step explanation:
Need help, quick, if anyone can, thank you in advance.
Answers
Answer:
B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Trust me I even used an algebra calculator.
Could anyone help me with this? T+S+U=130 T=3(U) S= T+10 U= ?? I need to decipher the value of T,S and U.
Answers
Answer:
U = 17 1/7
T = 51 3/7
S = 61 3/7
Step-by-step explanation:
Given
T+S+U=130\
T=3(U)
S= T+10 we have to find value of u
First step:
find S and T in terms of U
T is given
T = 3U
S = T +10 , using T = 3U
S = 3U+10
Using the above value in T+S+U=130
3U + 3U+10 + U = 130
=> 7U = 130-10 = 120
=> U = 120/7 = 17 1/7
T = 3U = 3*120/7 = 360/7 = 51 3/7
S = T+10 = 360/7 + 10 = (360+70)/7 = 430/7 = 61 3/7
Thus,
U = 17 1/7
T = 51 3/7
S = 61 3/7
Please help me I will give brainliest to whoever answers
Answers
Answer: B
Step-by-step explanation:
#\(GameOn\)
Answer:
yea the awsered is b
Step-by-step explanation:
1 year insurance policy covering its equipment was purchased for 6,144. The date purchased was June 14 but it doesn't go into effect until June 16th, How much is paid for that
month?
Year?
Answers
1 year insurance policy covering its equipment was purchased for 6,144. The date purchased was June 14 but it doesn't go into effect until June 16th, the amount paid for the month of June is approximately $252.75, and the amount paid for the entire year is approximately $6,144.
To calculate the amount paid for the month and the year, we need to consider the number of days covered by the insurance policy. Let's break it down step by step:
Step 1: Determine the number of days covered in June.
Since the policy doesn't go into effect until June 16th, there are 15 days remaining in June that will be covered by the insurance policy.
Step 2: Calculate the daily rate.
To find the daily rate, we divide the total cost of the insurance policy by the number of days in a year:
Daily rate = 6,144 / 365
Step 3: Calculate the amount paid for June.
The amount paid for June can be found by multiplying the daily rate by the number of days covered:
Amount paid for June = Daily rate * Number of days covered in June
Step 4: Calculate the amount paid for the year.
To calculate the amount paid for the year, we simply multiply the daily rate by 365 (the total number of days in a year):
Amount paid for the year = Daily rate * 365
Now let's perform the calculations:
Step 2: Daily rate
Daily rate = 6,144 / 365 ≈ 16.85 (rounded to two decimal places)
Step 3: Amount paid for June
Amount paid for June = 16.85 * 15 ≈ 252.75 (rounded to two decimal places)
Step 4: Amount paid for the year
Amount paid for the year = 16.85 * 365 ≈ 6,144 (rounded to two decimal places)
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What is angle
Enter your answer in the box
Answers
Answer:
CAB is 37 degrees
Step-by-step explanation:
90 + 53 = 143
180 - 143 = 37
if the profit from selling 4 lawn mowers is 320 determine the profit from selling 12 lawn mowers
Answers
Answer:
He should make 960. Each lawnmower is worth 80.