Answer:
7x²+ 25x
Step-by-step explanation:
100 points!
At what point(s) do these graphs intersect? y=x^2 = 3x-5
y=4x+1
Seth’s solution:
y=x^2 +3x-5
y=4x+1
x^2 =3x-5=4x+1
x^2 -x-6=0
(x-3)(x+2)=0
x=3 and x=-2
The graphs intersect at (-2,0) and (3,0).
Is Seth's solution correct? Explain.
Answer:
Solution is correct till finding the roots:
x = 3, x = -2Then Seth should find the respective y- points using either equation:
y = 4*3 + 1 = 13and
y = -2*4 + 1 = -7Correct solution is:
(3, 13) and (-2, -7)Answer:
Seth's answer is incorrect.
Step-by-step explanation:
He is correct with all of his steps until he reaches the roots... the correct roots are, y = 4(3) + 1 = 13 y = 4(-2) + 1 = -7
So the correct answer would actually be: The graphs intersect at the coordinates (3,13) and (-2,-7)
A line is perpendicular to y = 3x - 8 and
intersects the point (6, 1).
Write the equation in slope-intercept form.
Answer:
Step-by-step explanation:
a line perpendicular to the give formula has a reciprocal slope and it's sign is changed also.
then m = -1/3 for our perpendicular line
y - 1 = -1/3(x -6)
y -1 = -1/3x + 2
y = -1/3x +3
there you go :)
The height of a cone is 10 inches and the radius of the cone is 4 inches. What is the approximate volume golf the cone?
Answer:
V = 167.55 inches^3
Step-by-step explanation:
[tex]v = \frac{1}{3} \pi {r}^{2} \times h \\ v = \frac{1}{3} (3.14) \times ( {4})^{2} \times (10) \\ v = 167.55 \: \: \: {inches}^{3} [/tex]
I hope that is useful for :)
A population of 6000 bacteria is growing at a rate of 6% each day. Write 2 an equation that expresses the number of bacteria at time x.
A. y = 6000(.06)×
B. y = 6000(1.06)×
C. y = 6000(.94)×
I took a pic I hope that's fine
Answer:
20/35
Step-by-step explanation:
The framed wall art Modern is 20 and the total is 35 so unless you have to simplify this should be the answer
please help!!! it’s for geometry
Answer: disagree with both.
Step-by-step explanation:
I don’t have a good Explanation, but that is the correct answer.
The time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. (a) What is the probability that more than three aircraft arrive within an hour? (b) If 30 separate one-hour intervals are chosen, what is the probability that no interval contains more than three arrivals?(c) Determine the length of an interval of time (in hours) such that the probability that no arrivals occur during the interval is 0.10.
Answer:
(a) The probability that more than three arrive in one hour is approximately 0.018988
(b) The probability that no interval contains more than 3 arrivals in 30 separate one-hour intervals is approximately 0.56264
(c) The length of time such that the probability of no arrival is 0.1 is approximately 2.30259 hours
Step-by-step explanation:
The distribution of the arrival time of a small aircraft = Exponential distribution
The mean arrival time, μ = 1 hour
The pdf of a exponential distribution, f(x) = λ·e^(-λ·x)
The mean, μ = 1/λ
∴ 1 = 1/λ
λ = 1 hour
∴ For the exponential distribution, f(x) = 1·e^(-x)
(a) The Poisson probability is given as follows;
[tex]P(X = k) = \dfrac{\lambda^k \times e^{-k}}{k!}[/tex]
The probability for more than 3 is given as follows;
[tex]P(X > 3) = 1 - \dfrac{1^0 \times e^{-1}}{0!} - \dfrac{1^1 \times e^{-1}}{1!} - \dfrac{1^2 \times e^{-1}}{2!} - \dfrac{1^3 \times e^{-1}}{3!} \approx 0.018988[/tex]
(b) P(X ≤ 3) for 30 1 hour intervals = P(X ≤ 3)³⁰ = (1 - 0.018988)³⁰ ≈ 0.56264
(c) When the probability that no arrival occurs is 0.1, we have;
0.1 P(X > x) = f(x) = 1·e^(-x) = e^(-x)
-x·ln(e) = ln(0.1)
∴ x = -㏑(0.1) ≈ 2.30259
The length of time such that the probability that no arrival occur during the interval is 0.1, x ≈ 2.30259 hours.
i need help with this
Answer:
1) 0.04, 3.6
2) 0.35, 49
Step-by-step explanation:
Answer:
1. 90x0.04= 3.6
2. 140x0.35=49
Step-by-step explanation:
convert to decimal to calculate the percent.
Help
Write an equation in slope-intercept form of the line that passes through the given points.
Answer:
y = 1/2x+1
Step-by-step explanation:
Slope = Δy/Δx
The difference is y increases by 1 and difference in x increases by 2. So the slope is 1/2.
Slope-intercept form: y=mx+b
We take point (0,1) and input into this equation.
1= 1/2×0 +b
1 = b
two passenger train traveling in opposite directions meet and pass each other. Each train is 1/18 miles long and is traveling at 40 miles per hr. How many seconds after the front parts of the trains will meet their rear parts pass each other.
9514 1404 393
Answer:
5 seconds
Step-by-step explanation:
Suppose the front parts of the trains meet at point A. Since both are the same length and traveling the same speed, each will pass point A in time ...
time = distance/speed
time = (1/18 mi)/(40 mi/h) = (1/720 h) × (3600 s)/(1 h) = 5 s
That is, the rear part of each train will be at point A 5 seconds after the front part.
The rear parts will pass each other 5 seconds after the front parts meet.
Use the reverse order of operation to solve this problem.
2m = 1
Answer: m = 1/2 or 0.5
Step-by-step explanation:
The order of operation within this problem is multiplication meaning we must divide instead.
2m = 1
2m/2 = 1/2
m = 1/2 or 0.5
Find the value of x
5(x−7)=25
Answer:
x=12
Step-by-step explanation:
5(x−7)=25
Divide both sides by 5.
x−7=25/5
Divide 25 by 5 to get 5.
x−7=5
Add 7 to both sides.
x=5+7
Add 5 and 7 to get 12.
x=12
Answer:
x = 12
Step-by-step explanation:
5(x-7) = 25 (distribute)
5x-35 =25 (add 35 on both sides)
5x = 60 (divide)
x = 12
Aiden borrows a book from a public library. He read a few pages on day one. On day two, he reads twice the number of pages than he read on day one. On the third day, he reads six pages less than he reads on the first day. If he has read the entire book that contains 458 pages, how many pages did he read on day three?
Answer:
.
Step-by-step explanation:
Once simplified, which of the expressions below is equal to 2x+8? Select all that apply.
A) 4(2x+8)
B) 2(x+4)
C) 3(3x+5)−7x–7
D) 6x–4–4x+4
Answer: B) 2(x+4)
Step-by-step explanation: Hope this help :D
A trapezoid has a height of 3 meters, a base length of 8 meters, and an area of 30 square meters. What is the length of the base?
Answer:
Length of the second base will be 12 meters.
Step-by-step explanation:
Area of a trapezoid is given by the formula,
Area = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
Here, b₁ and b₂ are the bases of the trapezoid and 'h' is the vertical distance between the bases.
By substituting the values in the formula,
[tex]30=\frac{1}{2}(8+b_2)3[/tex]
[tex]60=3(8+b_2)[/tex]
[tex]20=8+b_2[/tex]
[tex]b_2=12[/tex]
Therefore, length of the second base will be 12 meters.
30 POINTS!!! PLEASE ANSWER THE QUESTIONS IN THE PICTURES!!! EACH QUESTION HAS 2 ANSWERS!!!!
Answer:
Step-by-step explanation:
I believe the first question is 1.9
second: 48.2
sorry didn't understand the third one :(
good luck in your exam!Simply the following: 3a x 2a x 4b
Answer:
24a²b
Step-by-step explanation:
Answer:
24a^2b
Step-by-step explanation:
3a*2a*4b
6a^2*4b
24a^2b
Resuelve la siguiente operacion con su proceso: 3 x( 2 + 4 x 3 ) - 2 x( 3 x 2 - 2 x 2 )+ 5 - 2= Es urgente!
Answer:
41
Step-by-step explanation:
Usando BODMAS, entonces que tenemos
(2 + 4 * 3) =
(2 + 12) =
14
Con el segundo uno, tenemos
(3 * 2 - 2 * 2). Con esto, dices que
(3 * 2) - (2 * 2) =
6 - 4 =
2
Y ahora, decimos que
3 * (14) - 2(2) + 5 - 2 =
42 - 4 + 3 =
42 - 1 = 41
Nos respuesta a la pregunta es 41. Espero que tú entiendas
if a cake recipe calls for 3 1/2 cups how many cups are needed for 5 recipes?
Answer:
17 1/2
Step-by-step explanation:
multiply 3 1/2 times 5.
Answer:
17.5
Step-by-step explanation:
3.5 x 5
The volume of sphere Q is 50% more than the volume of sphere P. The volume of sphere R is 50% more than the volume of sphere Q. Find the volume of sphere P as a fraction of sphere R. Write your answer in the form a/b
What is the answer to 8x<6? Please help
Answer:
x<3/4
Step-by-step explanation:
8x<6
x<6/8
x<3/4
I hope this helps
Answer:
x = 3/4
Step-by-step explanation:
I NEED HELP I NEED TO PASS THIS
Answer:
A. the area of the large pond is 16 times the area of the small pond
Step-by-step explanation:
let's say 4 is the radius of the small circle, which means the area is 50.26548
if the large circle is 4 times the small circle, that means it's radius is 16 which means the area is 804.24772
so if you divide the big circle area by the small circle area:
804.24772/50.26548
it gives you 16.00000079577 which is rounded to 16
therefore, the bigger circle is 16 times bigger than the smaller circle
jane leaves her bicycle at 8:00 AM, traveling at an average speed of 15mph. her brother frank leaves home in his car at 10:30 AM, traveling the same route as Jane at an average speed of 40 mph. at what time will they meet? i will give brainliest
Answer: 11:00
Step-by-step explanation:
Answer: 11:00
Step-by-step explanation:
A running track has a straight stretch that measures 200m at the ends there are
semicircles with a radius of 16m. What is the distance of the running track?
Answer:
300.57 m
Step-by-step explanation:
function for the line with a slope of 5 that passes through the point (2, 1)
Answer:
Im pretty sure its y= 5x-9
Step-by-step explanation:
Hope this helps! Have an Amazing day!!
can someone please help with this? real answer only please......ive asked multiple questions today becuz i dont really understand the assignment, please help
helpp?!?please i will give you cookie
Hope it helps you! ........
12 more to go please help me
Step-by-step explanation:
Total number of people = 48 + 32 + 16
= 96
P(2 or more items) =
[tex] \frac{32}{96} \\ = \frac{1}{3} [/tex]
Help me pls. Which decimal is less than 0.8?
Answer: 0.79
Step-by-step explanation: for example 79 is less than 80.
identify the area of a regular decagon with side legnth 5 m
Answer: The area is 81.25 m²
