Graph the function.
h(x) = x^2+ 2x
Answers
Answer:
See attachment.
General Formulas and Concepts:
Algebra I
Reading a Cartesian planeCoordinates (x, y)FunctionsFunction NotationStep-by-step explanation:
The fastest way to graph a function is to plug it into a graphing calculator.
Graphing by hand would require a table of values, plotting those points, and connecting the dots.
We can also use the parent function x² and determine the graph.
Related Questions
Which image below shows the result of an image that has been rotated 180 by the origin O?
Answers
Suppose P(t)represents the population of a certain mosquito colony, where. t is measured in days. The current population of the colony is known to be 574 mosquitos; that is, P(0)=574. If P'(0)=50 mosquitos per day, estimate the size of the population in 10 days.
Answers
Answer:
The estimated size of the population in 10 days is of 1372 mosquitos.
Step-by-step explanation:
Population after t days:
The population after t days is given by:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
P(0)=574.
So
[tex]P(t) = 574e^{rt}[/tex]
P'(0)=50
[tex]P^{\prime}(t) = 574re^{rt}[/tex]
Since P'(0)=50
[tex]574r = 50[/tex]
[tex]r = \frac{50}{574}[/tex]
[tex]r = 0.0871[/tex]
So
[tex]P(t) = 574e^{0.0871t}[/tex]
Estimate the size of the population in 10 days
This is P(10).
[tex]P(10) = 574e^{0.0871*10} = 1372[/tex]
The estimated size of the population in 10 days is of 1372 mosquitos.
The size of the population of mosquito follows an exponential model.
The size of the population in 10 days is 1370
The given parameters are:
[tex]\mathbf{P(0) = 574}[/tex]
[tex]\mathbf{P'(0) = 50}[/tex]
An exponential function is represented as:
[tex]\mathbf{P(t) = P(0) \times e^r^t}[/tex]
So, we have:
[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]
Differentiate
[tex]\mathbf{P'(t) = 574r}[/tex]
Substitute 0 for t
[tex]\mathbf{P'(0) = 574r}[/tex]
Substitute [tex]\mathbf{P'(0) = 50}[/tex]
[tex]\mathbf{50 = 574r}[/tex]
Divide both sides by 574
[tex]\mathbf{0.087 = r}[/tex]
So, we have:
[tex]\mathbf{r = 0.087 }[/tex]
The function becomes
[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]
[tex]\mathbf{P(t) = 574 \times e^{0.087t}}[/tex]
In 10 days, t = 10.
So, we have:
[tex]\mathbf{P(10) = 574 \times e^{0.087 \times 10}}[/tex]
[tex]\mathbf{P(10) = 574 \times e^{0.87}}[/tex]
Solve
[tex]\mathbf{P(10) = 1370}[/tex]
Hence, the size of the population in 10 days is 1370
Read more about exponential functions at:
https://brainly.com/question/11487261
does anyone know how to do this?
Answers
Answer:
90
Step-by-step explanation:
77degrees is one half of the side if see the line is exactly straight aplogies if i'm wrong
Holly shipped a 5-pound package for $4. She shipped a 3-pound package for $3.60 and a l-pound l package for $3.20. A 10-pound package cost $5 to ship. The cost follows a pattern based on the
weight. Which expression could be used
to find the shipping cost for a package
of p pounds?
Answers
Answer:
the answer would be A
Step-by-step explanation:
The cost seems to start at 3 and increase by each pound times .20 cents. Ex: 1 x .20 =.20 + 3 =3.20
What is the area of this figure ?
Answers
Answer:
52920cm
all you have to do is multiply all the numbers together.
sorry if its wrong.
but hope it helps.
have a great day.
Answer:
102
Step-by-step explanation:
area of the square (36) plus the area of the trapezoid (66)
Name 6 elements of PQR.
Answers
Answer:
josh
rabeesh
ronger
roger
roge
robert
Step-by-step explanation:
6xy^3 * 4x^2y^2 answer
Answers
=
24 x¹+² y³+²
=
24x³ y⁵
8
BONUS QUESTION: A swimming pool is in the shape of a triangular prism. From the top down, the triangle's base has a length of 22 ft and a height of 11 ft.
The pool is 17.5 ft deep. If it takes 4.83 gallons of Jell-o to fill 2 cubic foot of space, how many gallons of Jell-o will it take to completely fill the pool? (Round the
gallons up).
Answers
Answer:
Good luck Dude
Step-by-step explanation:
2. You have a bag containing 5 red markers, 6 green markers, and 4 blue markers. You reach Into the bag, select 1 marker, replace it, and then select another marker. What is the probability
that you selected a blue marker and then a green marker?
14.3%
10.7%
73.3%
83.3%
Answers
Answer:
10.7%
Step-by-step explanation:
possibility to get a blue marker : 4/15
possibility to get a green marker: 6/15
possibility to get a blue then a green: 24/225
= 10.666666%
= 10.7%
Exact distance between (-1,-9) and (5,-5)
Answers
[tex]2 \sqrt{13} [/tex]
that is your answer
Carpet is installed in the hallways of a building. The cost of carpet and installation is $32.50 per square yard. A total length of 432.0 feet of carpet 5.0 feet wide is required. What is the total cost of carpet and installation? (Number of square feet = length in feet × width in feet)
Answers
Answer:
[tex]Total = \$7800[/tex]
Step-by-step explanation:
Given
[tex]Cost = \$32.50[/tex] per square yard
[tex]Length = 432.0ft[/tex]
[tex]Width = 5.0ft[/tex]
Required
Determine the cost of carpet and installation
First, calculate the area of the carpet
[tex]Area = Length * Width[/tex]
[tex]Area = 432.0ft * 5.0ft[/tex]
[tex]Area = 2160ft^2[/tex]
Convert to square yard
[tex]Area = \frac{2160yd^2}{9}[/tex]
[tex]Area = 240yd^2[/tex]
The cost is then calculated as:
[tex]Total= Area * Unit\ Cost[/tex]
[tex]Total = 240 * \$32.50[/tex]
[tex]Total = \$7800[/tex]
Macy has completed 78% of the 50 questions on the test. How
many questions has Macy completed?
Answers
Answer:
39
Step-by-step explanation:
Answer:
78% = 78/100
= 0.78
78% of the 50 i equal 0.78 x 50 = 39
Macy has completed 39 questions
63% of US adults opposed to taxes on junk food and soda. You randomly select 10 US adults. Find the probability that the number of adults who oppose special tax on junk food and soda (a) exactly one, (b) at least four, and (c) less than eight
Answers
Answer:
a) 0.0008 = 0.08% probability that the number of adults who oppose special tax on junk food and soda is exactly one.
b) 0.9644 = 96.44% probability that the number of adults who oppose special tax on junk food and soda is at least four.
c) 0.7795 = 77.95% probability that the number of adults who oppose special tax on junk food and soda is less than eight.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they are opposed to taxes on junk food and soda, or they are not. Each adult is independent of other adults, which means that the binomial probability distribution is used to solve the question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [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]
And p is the probability of X happening.
63% of US adults opposed to taxes on junk food and soda.
This means that [tex]p = 0.63[/tex]
You randomly select 10 US adults.
This means that [tex]n = 10[/tex]
(a) exactly one
This is [tex]P(X = 1)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{10,1}.(0.63)^{1}.(0.37)^{9} = 0.0008[/tex]
0.0008 = 0.08% probability that the number of adults who oppose special tax on junk food and soda is exactly one.
(b) at least four
This is
[tex]P(X \geq 4) = 1 - P(X < 4)[/tex]
In which
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.63)^{0}.(0.37)^{10} \approx 0[/tex]
[tex]P(X = 1) = C_{10,1}.(0.63)^{1}.(0.37)^{9} = 0.0008[/tex]
[tex]P(X = 2) = C_{10,2}.(0.63)^{2}.(0.37)^{8} = 0.0063[/tex]
[tex]P(X = 3) = C_{10,3}.(0.63)^{3}.(0.37)^{7} = 0.0285[/tex]
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.0008 + 0.0063 + 0.0285 = 0.0356[/tex]
[tex]P(X \geq 4) = 1 - P(X < 4) = 1 - 0.0356 = 0.9644[/tex]
0.9644 = 96.44% probability that the number of adults who oppose special tax on junk food and soda is at least four.
(c) less than eight
This is
[tex]P(X < 8) = 1 - P(X \geq 8)[/tex]
In which
[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{10,8}.(0.63)^{8}.(0.37)^{2} = 0.1529[/tex]
[tex]P(X = 9) = C_{10,1}.(0.63)^{9}.(0.37)^{1} = 0.0578[/tex]
[tex]P(X = 10) = C_{10,2}.(0.63)^{10}.(0.37)^{0} = 0.0098[/tex]
[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1529 + 0.0578 + 0.0098 = 0.2205[/tex]
[tex]P(X < 8) = 1 - P(X \geq 8) = 1 - 0.2205 = 0.7795[/tex]
0.7795 = 77.95% probability that the number of adults who oppose special tax on junk food and soda is less than eight.
what is the area of the figure
Answers
Answer:
I can not see the question
Step-by-step explanation:
Please post the question with the picture on your profile so I can attempt it
PLEASE HELP
180% is equiliant of which decimal .....
Answers
Answer:
180% is equivalent to the decimal 1.8
Answer:
answer is 1.8 hope it helps
In the image shown line n is a transversal cutting parallel lines l and m
A- 79
B- 81
C- 83
D- 86
Answers
the answer to your question is C
PLEASE HELP I NEED A GOOD MATH GRADE
Answers
Answer:
1.2 to 10 o->
2.8 to -10 <- with fully bubbled o
A rental car company charges $36.41 per day to rent a car and $0.11 for every mile
driven. Kaylee wants to rent a car, knowing that:
• She plans to drive 50 miles.
• She has at most $360 to spend,
Which inequality can be used to determine d, the maximum number of days Kaylee
can afford to rent for while staying within her budget?
360 > 5.5 + 36.41d
360 > 5.50 + 36.41
Submit Answer
360 < 5.5 + 36.41d
360 < 5.5d + 36.41
Answers
Answer: 360>5.5+36.41d
Step-by-step explanation:
GIVING BRAINLIEST AND EXTRA POINTS TO BEST EXPLAINED ANSWER EVER!
Answers
Answer:
3/16 of her garden are red roses
she was not correct, 2/4 is not equal to 3/16
Step-by-step explanation:
3/4 garden are roses
1/4 of those are red (1/4 of 3/4)
3/4 (1/4) = 3/16 of her garden are red roses
Answer:
Yes she is correct because if you have the 3/4 u still have 1/4 un planted an then she adds the 1/4 an that would make it 2/4.
Step-by-step explanation:
hope this helps
The recipe for Tommy’s famous chocolate chip cookies calls for ¾ cup of chocolate chips. Tommy wants to triple the recipe. How many cups of chocolate chips will he need?
Answers
Answer:
2 1/4 cups
Step-by-step explanation:
3(3/4) = 9/4 = 2 1/4 cups
BRAINLIEST WILL GIVE
Answers
bc 4^2 is 16. 16-2=14
The history of 100 workers who lost their employment due to technological advances is reviewed. Each worker was given an alternative job in the same​ company, found a job with another company in the same​ field, found a job in a new​ field, or has been unemployed for 1 year. In addition the union status of each worker is recorded. Complete​ (a) and​ (b).
Union Non-Union
Same Company 39 13
New Company 14 10
New Field 6 11
Unemployed 2 5
Required:
a. If the selected worker found a job with a new company in the same field, what is the probability that the worker is a union member?
b. If the worker is a union member, what is the probability that the worker has been unemployed for a year?
Answers
Based on the circumstances of the 100 workers and their union membership, the probabilities are:
Probability of worker finding new job in same field and is in union = 0.583.Probability that union worker has not been employed for a year = 0.033.What is the probability of the a new job with a union member?Number of people with jobs in new companies:
= 14 + 10
= 24
There are 24 people who have found a new job and out of them, 14 are in a union. The probability here is therefore:
= 14 / 24
= 0.583
What is the probability that a union worker has been unemployed?The number of people in a Union is:
= 39 + 14 + 6 + 2
= 61 people
Number of union people that have been unemployed is 2.
The probability here is therefore:
= 2 / 61
= 0.033.
Find out more on probabilities at https://brainly.com/question/25870256.
Question 11
Rhonda deposits $5,600 in a savings account that pays 1.36% Interest, compounded semiannually. What is the balance after the first 9 months?
Answers
Answer:
follow me please and give thanks
if the cube was Rolled 78 x and the nine appears 26 times what was the experimental probability of rolling a 9
Answers
Answer:
1/3 = 0.3333 = 33.33% experimental probability of rolling a 9.
Step-by-step explanation:
The experimental probability is given by the number of desired outcomes divided by the number of total outcomes, after a number of experiments is made.
In this question:
Cube rolled 78 times.
9 appeared 26 times
26/78 = 1/3 = 0.3333 = 33.33% experimental probability of rolling a 9.
Find the solution to the system of equations.
You can use the interactive graph below to find the
solution.
–2x + 2y = -4
3x + 3y = -18
Answers
evaluate (4x-5)² pls send answers
Answers
Answer =
= (4x - 5)²
= 16x² - 40x + 25
3×/5 2×/3 + 1/5 = 0
Answers
Answer:
what is the question. the equation is invalid.
A toy train has 8 compartments and an engine that is 8 inches long. Each compartment is 4 inches long. Each compartment is joined by links that are 3 inches long. How long is that train.
Answers
Answer:
64in
Step-by-step explanation:
links=8*3=24
compartments + engine=4*8+8=40
40+24=64
please help me with this question
Answers
Answer:
18
Step-by-step explanation:
7.) Which of the following are some of the possible solutions for the inequality?
-9w <-54
A. 6, 7, 8, 9
B. 6,5, 4,3
C.-6, -5, -4,-3
D. -6, -7,-8,-9
Answers
Answer:
A
Step-by-step explanation:
We will solve this inequality by dividing both sides by -9.
Remember, whenever you multiply or divide both sides by a negative number, the sign must be switched.
So we get:
[tex]w>6[/tex]
The only answer that has possible solutions that are greater than 6 is A.