Answers
X-intercepts: x = -4, 5
Y-intercept: y = -80
End Behavior:
lim(x->∞) y = ∞
lim(x->-∞) y = -∞
X-intercepts:
To find the x-intercepts, we set y = 0 and solve for x.
0 = (x+4)²(x-5)
So, we set each factor equal to zero and solve for x:
x + 4 = 0 --> x = -4
x - 5 = 0 --> x = 5
The x-intercepts of the graph are x = -4 and x = 5.
Y-intercept:
To find the y-intercept, we set x = 0 and solve for y.
y = (0+4)² (0-5)
y = 16 × -5
y = -80
The y-intercept of the graph is y = -80.
End Behavior:
As x approaches positive infinity, y approaches positive infinity:
lim(x->∞) y = ∞
As x approaches negative infinity, y approaches negative infinity:
lim(x->-∞) y = -∞.
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Related Questions
can someone help me out on this please?
Answers
Answer:
Alexis: 2.5x
Gary: x
James: x + 18
Total: (2.5x) + (x) + (x + 18)
= 4.5x + 18
Bonus:
4.5x + 18 = 1206
4.5x = 1188
x = 264
Alexis: 2.5(264) = 660
Gary: 264
James: 264 + 18 = 282
functions are mathematical algorithms that generate a message summary or digest to confirm the identity of a specific message and to confirm that there have not been any changes to the content.
Answers
Functions are mathematical algorithms used to generate message summaries or digests for verifying message identity and content integrity.
Functions, in the context of cryptography and information security, are mathematical algorithms that play a crucial role in generating message summaries or digests. These digests are commonly referred to as hash values or fingerprints. The primary purpose of using functions is to confirm the identity of a specific message and ensure that the content has not been altered.
A hash function takes an input message of any length and applies a series of mathematical operations to produce a fixed-length output, typically represented as a sequence of alphanumeric characters. This output is unique to the input message, meaning even a slight change in the message would result in a significantly different hash value. By comparing the generated hash value with the originally computed one, it is possible to determine if the message has remained intact or if any tampering has occurred.
The use of functions in message verification provides a practical and efficient way to ensure data integrity and authenticity. It enables recipients to confirm that the received message matches the originally transmitted one, providing assurance against unauthorized modifications or tampering. Functions are widely utilized in various security protocols, such as digital signatures, integrity checks, and secure communication channels, to enhance the overall security of information systems.
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Find the value of x. Then find the measure of each angle and write the answers in ascending order.
Answers
By using the properties of triangle, it can be calculated that-
Smallest angle = 30°
Next larger angle = 60°
Largest angle = 90°
What is a triangle?
Triangle is a three sided two dimensional figure. A triangle has three sides and three interior angles.
The angles of a triangle are x, 2x and 90
Sum = x + 2x + 90 = 3x + 90
By the problem,
3x + 90 = 180
3x = 180 - 90
3x = 90
x = \(\frac{90}{3}\)
x = 30
Smallest angle = 30°
Next largest angle = 2 \(\times\) 30 = 60°
Third angle = 90°
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please help so i can pass
Answers
Answer:
5.385 = 5.4
Step-by-step explanation:
Answer:
5.4
Step-by-step explanation:
x^2+y^2=c^2
4+25=c^2
c^2=104
c=5.4
6y - 5 = 7y - y what does y equal
show how you did it pls
Answers
Answer: y is a false statement
Step-by-step explanation: put all the y terms on one side and all the constants on the other. i'm going to move all the y terms to the right and the constants to the left. on the left we have a -5 leftover and on the right it would be 7y-y-6y. if you add those terms together, you're left with -5=0 which is not possible. y is a false statement
The sum of three numbers is 21. The second number is two more than twice the first number. The second number is three times the third number. What are the numbers?
Answers
Answer:
The numbers are:
5, 12 and 4
Step-by-step explanation:
a + b + c = 21 Eq. 1
b = 2a +2 Eq. 2
b = 3c Eq. 3
From Eq. 2:
b - 2 = 2a
(b-2)/2 = a Eq. 4
From Eq. 3:
c = b/3 Eq. 5
Replacing Eq. 4 and Eq. 5 in Eq. 1:
(b-2)/2 + b + b/3 = 21
3(b-2)/6 + 6b/6 + 2b/6 = 126/6
3(b-2) + 6b + 2b = 126
(3*b + 3*-2) + 8b = 126
3b - 6 + 8b = 126
11b = 126 + 6
11b = 132
b = 132/11
b = 12
from Eq. 4
(b-2)/2 = a
(12-2)/2 = a
10/2 = a
a = 5
from Eq. 5
c = b/3
c = 12/3
c = 4
Check:
from Eq. 1
a + b + c = 21
5 + 12 + 4 = 21
to construct a confidence interval for each of the following quantities, say whether it would be better to use paired samples or independent samples. explain why. (a) the mean difference in standardized scores between the first and the second attempt in the class. (b) the mean difference in test scores between students taught by different methods.
Answers
The better use for paired samples or independent samples is,
a) Paired sample
b) Independent sample
c) Independent sample
d) Paired sample
We have,
To construct a confidence interval for each of the following quantities,
a. The mean difference in height between identical twins.
b. The mean difference in height between men and women.
c. The mean difference in apartment rents between apartments in two different cities.
d. The mean difference in apartment rents in a certain town between this year and last year.
Hence, Identify better use for paired samples or independent samples as,
a. Paired Samples, because the heights of the identical twins are dependent on each other.
b. Independent Samples; the height of men and women are independent of each other.
c. Independent Samples; rents in two different cities are not expected to be dependent on each other.
d. Paired Samples; rent in a certain town between this year and last year is dependent on each other.
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Complete question is,
Paired or independent? To construct a confidence interval for each of the following quantities, say whether it would be better to use paired samples or independent samples, and explain why.
a. The mean difference in height between identical twins.
b. The mean difference in height between men and women.
c. The mean difference in apartment rents between apartments in two different cities.
d. The mean difference in apartment rents in a certain town between this year and last year.
what are the increasing intervals and decreasing intervals
if u could tell me why that would be great
Answers
Answer:The value of the interval is said to be increasing for every x < y where f (x) ≤ f (y) for a real-valued function f (x). If the value of the interval is f (x) ≥ f (y) for every x < y, then the interval is said to be decreasing.
Step-by-step explanation:
What value of x makes this equation true?
-90 = -100+x
A. -190
B. 190
C. -10
D. 10
Sorry if I keep asking and making questions lol
Answers
Answer:
The correct answer is D
Step-by-step explanation:
-190 + -100 = -290
190 + -100 = 90
-10 + -100 = -110
10 + -100 = 90
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Answer: the answer is U hoppe this helpsss
Step-by-step explanation:
the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring. true/false
Answers
The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.
The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:
P(A or B) = P(A) + P(B) - P(A and B)
On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:
P(A and B) = P(A) * P(B|A)
where P(B|A) is the conditional probability of B given that A has occurred.
It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.
In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.
In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.
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NEEED HELPPP !!!!!!!!!!
Answers
Answer:
9) x=10
10) x=8
Step-by-step explanation:
2x-4+3x+2=48
5x-2=48
+2. +2
5x=50
/5 /5
x=10
3x+6=2x+14
-6 -6
3x=2x+8
-2x -2x
x=8
I NEED AN ANSWER ASAP PLEASE
Answers
Step-by-step explanation:
the correct answer is option a 6a-7
Yesterday, between noon and midnight, the temperature went down by 23.8°F. If the temperature was - 7.2 deg * F at midnight, what was it at noon?
Answers
Step-by-step explanation:
at noon x°F.
at midnight we had -7.2°F.
-7.2 = x - 23.8
x = -7.2 + 23.8 = 16.6°F
Considering the temperature at midnight, it is found that the temperature at noon was of 16.6ºF.
What was the temperature at noon.Between noon and midnight, the temperature went down by 23.8°F, meaning that the temperature at noon is the midnight's temperature if -7.2 ºF added to 23.8 ºF, hence:
-7.2 + 23.8 = 16.6ºF.
The temperature at noon was of 16.6ºF.
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1. A contractor is building a new room onto the back of
Darnell's house. The contractor adds a diagonal brace to
the frame of one of the walls. The frame is 15 feet long
and 8 feet tall. How long is the diagonal brace?
Answers
Answer:
the answer is 23
Step-by-step explanation: use the formala of a triangle
which means you either add or subtract the sides and since it is the big side you are missing you have to add and when you do you get 23
Sam bought a toy for $400 and sold it at a profit of 10% of the cost price. Calculate the SELLING PRICE of the toy.
Answers
Answer:
10% = 0.1 x 400 = 40
400 - 40 = 360$
how many cards must be selected from a standard deck of 52 cards to guarantee that at least three cards of the same (matching) suit are chosen
Answers
Answer:
Step-by-step explanation:
17
Stacy uses 4 cups of milk to make a batch of rice pudding. How many batches of rice pudding
can she make with 3 gallons of milk?
Hint: There are 16 cups in 1 gallon.
Answers
Answer:
12
Step-by-step explanation:
There are
16 cups = 1 gallon
3 gallons = 48 cups
48 divided by 4 = 12 batches of rice pudding
Answer
12
Step-by-step explanation:
4 cup of milk = 1 batch of rice pudding
1 gallon of milk= 16 cups of milk
3 gallon of milk = 3x 16
=48 answer
then, 48 cup of milk = 48 ÷ 4
= 12 answer
Hence, stacy can make 12 batch of pudding with 3 gallon of milk.
8.6 divided by 1,000 =
find the quotient. divide decimals by power of ten.
Answers
which question is a statistical question? responses a does my father or my mother like the ice-cream from the grocery store better?does my father or my mother like the ice-cream from the grocery store better? b how does my brother rate the taste of ice-cream on a scale of 1-10?how does my brother rate the taste of ice-cream on a scale of 1-10? c how do i rate the taste of ice-cream on a scale of 1-10?how do i rate the taste of ice-cream on a scale of 1-10? d which brand of ice cream is preferred by the people shopping at a grocery store?
Answers
The question that is a statistical question is: "which brand of ice cream is preferred by the people shopping at a grocery store?" (Option D)
What is a statistical question?A statistical question is one that can be addressed by gathering varying amounts of data.
This is a statistical issue since it entails gathering and evaluating data from a group of individuals to discover which brand of ice cream the majority prefers.
The other alternatives are not statistical inquiries since they solicit personal opinions or preferences rather than group facts.
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The distance of Saturn from the Sun is 1.43 × 10⁹ km . If the speed of light is 3 × 10 ms-¹ , how long in seconds , does it take for the light to travel from Sun to Saturn ?
Answers
Answer:
4,767 seconds
Step-by-step explanation:
The speed of light is actually 3x10^8 m/s, not "3 × 10 ms-¹."
Convert 1.43 × 10⁹ km = 1.43 × 10^12 m
(1.43 × 10⁹ km = 1.43 × 10^12 m)/(3x10^8 m/s) = 4,767 seconds
Solve the inequality and enter your solution as an inequality comparing variable to solution-31>x-48
Answers
Answer:
solving the inequality \(-31>x-48\) we get: \(\mathbf{x<17}\)
Step-by-step explanation:
We need to solve the inequality \(-31>x-48\)
Solving the inequality and finding value of x:
\(-31>x-48\)
First we will be switching sides i.e. left hand side will become right hand side and right hand side will become left hand side. In doing so, the inequality sign i.e. > will be reversed and changed with <
\(x-48<-31\)
Now, for finding value of x, we will be adding 48 on both sides
\(x-48+48<-31+48\\x<17\)
The value of x is less than 17 i.e. \(\mathbf{x<17}\)
So, solving the inequality \(-31>x-48\) we get: \(\mathbf{x<17}\)
NEED EXPLANATION TOO! THANKS BESTIES
There are 3 different trains running to London. One train
leaves every 10 minutes, another leaves every 35 minutes,
and the last one leaves every 40 minutes. They first leave at
5:30am. What Time do they all leave again at the same time?
Answers
Answer:
2:50pm
Step-by-step explanation:
You have to find the least common multiple (LCM) between the 3 times. If you don't know what is the LCM, just say it and I'll try to explain for you in the comments.
10, 35, 40 have as LCM the number 560
So it means they'll leave together 560 minutes after 5:30am
One hour is 60 minutes, so we can divide 560 by 60 to find the time in hours:
560/60 = 9 hours and 20 minutes (the rest of the division will be the minutes)
So, they'll leave together at 2:50pm
find the interest rate if £9400 has a final value of £11907 in 3 years. Give your answer to 1 d.p.
Answers
The interest rate would be = 8.9%
What is interest rate?An interest rate is defined as the percentage of money that should be received by an individual for a particular period of time following an investment made.
The principal amount (p) = £9400
The simple interest = £11,907 - 9400 = 2507
The time given(T) = 3 years
The rate (R)= x%
The rate can be calculated from the formula of simple interest = P×T×R/100
make R the subject of formula;
R = 100×SI/P×T
R = 100× 2507/9400×3
R = 250700/28200
R = 8.89%
R= 8.9%
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the chart gives prices and output information for the country of new zealand. use this information to calculate real and nominal gdp for both years. use 2017 as the base year.
Answers
The nominal GDP for the year 2017 is $87,000, and the real GDP for the year 2017 is $87,000.
How to calculate real and nominal GDP?Using a base year,the formula to calculate the Real GDP is given below:
Real GDP = Nominal GDP ÷ Deflator (in decimal)
Where, Deflator = (Price of base year goods and services ÷ Price of current year goods and services) × 100
Nominal GDP for the year 2017= 1,650 × 10 + 2,820 × 25= 16,500 + 70,500= 87,000
Nominal GDP for the year 2019= 1,900 × 12 + 3,250 × 27= 22,800 + 87,750= 110,550 Using the above formula,
Deflator for the year 2017 can be calculated as:
Deflator for 2017= (P2017 / P2017) × 100= (1 × 10 + 2 × 25) / (1 × 10 + 2 × 25) × 100= 100
Similarly, Deflator for the year 2019 can be calculated as:
Deflator for 2019= (P2019 / P2017) × 100= (1.10 × 12 + 2.75 × 27) / (1 × 10 + 2 × 25) × 100= 120.25
Now, Real GDP for the year 2017= 87,000 / 100= $87,000 Real GDP for the year 2019= 110,550 / 120.25= $917.54 million.
Thus, the nominal GDP for the year 2017 is $87,000, and the real GDP for the year 2017 is $87,000. The nominal GDP for the year 2019 is $110,550, and the real GDP for the year 2019 is $917.54 million.
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f+40/−3≥−16
f = 2
f = 5
f = 8
f=11
Answers
Marlon Audio Company manufactures video tapes. The desired speed of its model SF2000 is 4 inches per second. Any deviation from this value distorts pitch and tempo, resulting in poor sound quality. The company sets the quality specification to 4 t 0.17 inch per second because an average customer is likely to complain and return the tape if the speed is off by more than 0.17 inch per The cost per return is $28. The repair cost before the tape is shipped, however, is only $7 per tape. Required: 1. Compute L(x) if x is 4.12 inches per second. 2. Estimate the tolerance for the firm to minimize its quality-related cost (loss). (Round your answers to 4 decimal places.)
Answers
L(x) if x is 4.12 inches per second is $21.
To estimate the tolerance for the firm to minimize its quality-related cost (loss), we need to determine the range of acceptable speeds that minimize the cost. The tolerance can be calculated as the difference between the upper and lower limits of the acceptable speed range.
Given that the desired speed is 4 inches per second and the quality specification allows a deviation of 0.17 inches per second, we can calculate the upper and lower limits as follows:
Upper Limit = Desired Speed + Tolerance
Lower Limit = Desired Speed - Tolerance
Let's assume the tolerance is represented by 't'.
Upper Limit = 4 + t
Lower Limit = 4 - t
To minimize the quality-related cost, we want to find the smallest value of 't' that satisfies the condition.
The cost can be minimized when the difference between the upper and lower limits is equal to twice the return cost of $28.
Upper Limit - Lower Limit = 2 * $28
(4 + t) - (4 - t) = 2 * $28
2t = 2 * $28
t = $28
Therefore, the estimated tolerance for the firm to minimize its quality-related cost is 0.28 inches per second (rounded to 4 decimal places).
Note: In this scenario, the tolerance is set to 0.28 inches per second to ensure that the cost of returns is minimized for the company.
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Solve y3 = 1.
answers are
y = −1
y = 1
y = ±1
y = 3
Answers
Answer:
Is y3 supposed to be y^3? Is so, the answer is 1.
Step-by-step explanation:
If the equation is correct as written, 3y = 1, then y = 1/3
y^3 = 1
This can also be written as y^2*y = 1
1. If y = -1, then y^2y would be (1)*(-1) = -1
2. If y = 1, then (1)^3 * (1) = 1 This works.
3. If y = ±1, then -1 is a possible answer and -1 does not work as per #1
4. 3^3 = 27
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Answers
y2 – 5y = 750
750 – y(y – 5) = 0
(y + 25)(y – 30) = 0
The work that Ryan did to find the greatest common factor of 48 and 72 is shown below.
Prime factorization of 48: 2 x 2 x 2 x 2 x 3
Prime factorization of 72: 2 x 2 x 2 x 3 x 3
The greatest common factor is 2 ´ 2 ´ 2 ´ 3 x 3
What is Ryan’s error?
Answers
Answer:
there will only be one 3
Step-by-step explanation:
see cause the first 3 of both numbers are 2 but only the last one of both numbers are 3 .
Find the remaining sides of a 30-60-90 degree triangle if the longest side is 11.
Answers
The remaining sides are 11/2 and 11√3/4.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
In a 30-60-90 triangle,
The length of the side opposite the 30-degree angle = 1/2 x the length of the hypotenuse.
The length of the side opposite the 60-degree angle = √3/2 x the length of the hypotenuse.
The length of the hypotenuse = 2 x the length of the side opposite the 30-degree angle.
Now,
The length of the hypotenuse = 2x.
So,
2x = 11
x = 11/2
Now,
The lengths of the other two sides are:
= √3/2 x 11/2
= 11√3/4
And,
= 11/2
Thus,
The remaining sides are 11/2 and 11√3/4.
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