Answer:
Step-by-step explanation:
Given function is,
[tex]f(x)=\frac{2x^2+6x}{-4x^2+8x}[/tex]
[tex]=\frac{2x(x+3)}{-4x(x-2)}[/tex]
This function is not defined at "x(x - 2) = 0"
Therefore, for the values of x = 0 and 2, given function is not defined.
Vertical asymptote → x = 2 [Denominator = 0]
For Horizontal asymptote → [tex][\frac{2x^2}{-4x^2} =-\frac{1}{2}][/tex]
Therefore, horizontal asymptote → y = [tex]-\frac{1}{2}[/tex]
x-intercept,
For f(x) = 0,
Numerator of the function = 0
2x² + 6x = 0
2x(x + 3) = 0
x = -3
Therefore, x - intercept → (-3, 0)
For y-intercept,
x = 0
f(0) = 0
Therefore, graph has no y-intercept.
For holes on the graph,
Since, function is not defined at x = 0,
f(x) = [tex]\frac{(x+3)}{-2(x-2)}[/tex]
f(0) = [tex]\frac{(0+3)}{-2(0-2)}[/tex]
= [tex]\frac{3}{4}[/tex]
Therefore, hole on the graph → [tex](0, \frac{3}{4})[/tex]
Gordon types 3,024 words in 42 minutes. Find the unit rate.
Answer:
72 words per minute
Step-by-step explanation:
[tex]\frac{1}{y}= \frac{42}{3024}[/tex]
42 × y = 1 × 3024
42y = 3024
42y ÷ 42 = 3024 ÷ 42
y = 72
The formula for centripetal acceleration, a, is given below, where v is the velocity of the object and r is the object's distance from the center of the circular path.
a= v^2/r
Solve the formula for the velocity.
v=
Answer:
Step-by-step explanation:
For this case we have the following equation:
a = v ^ 2 / r
From here, we must clear the value of speed.
We have then:
v ^ 2 = a * r
v = root (a * r)
Answer:
the formula for the velocity is:
v = root (a * r)
Answer:
v=[tex]\sqrt{ar}[/tex]
Step-by-step explanation:
An NBA fan named Mark claims that there are more fouls called on his team any other team, but the commissioner says that the number of fouls called against his team are no different than any other team. Mark finds that the average number of fouls in any game in the NBA is 11.5. He takes a random sample of 34 of games involving his team and finds that there are an average of 12.2 fouls against his team, with a standard deviation of 1.6 fouls. What is the correct conclusion
Answer:
Fouls > Average Fouls
Step-by-step explanation:
Null Hypothesis [ H0 ] : Fouls = Average Fouls ie 11.5
Alternate Hypothesis [ H1 ] : Fouls > Average Fouls
t = ( x - u ) / ( s / √n )
where x = actual observed mean = 12.2 here , u = assumed population mean = 11.5 , s = sample standard deviation = 1.6 , n = sample size = 34
So, t = (12.2 - 11.5 ) / ( 1.6 / √34 ) = 0.7 / ( 1.6 / 5.83 ) = 0.7 / 0.275 = 2.55
t tabulated value for α = 5% right tailed = 1.645 , ie < calculated value 2.55 So , we reject the null hypothesis, & conclude that 'Fouls > Average Fouls'
Which expression is shown in the table above?
Answer:
Step-by-step explanation:
A
If you buy a car for $349,985 and the car salesman gets 1/20 of the price of the car. How much will he get?
Answer:
$17499.25
Step-by-step explanation:
349,985*0.05=17499.25
The area of the triangle below is 3.19 square inches. What is the length of the base?
Answer
m<a is 90 and m<b is 40 i don't know which one is da base but i'd go with 40?
Step-by-step explanation:
PLS ASAP HELP I WILL GIVE BRAINLIEST
What are the
focus and directrix
of the graph of
y=1/16x^2?
Answer:
Look Below
Step-by-step explanation:
y=1/16x^2
multiplying both sides by 16 we get:
16y=x^2
The general form of a parabola is:
(x-h)^2=4p(y-k)
thus
4p=16
p=4
The parabola opens upwrd:
Focus: (h,k-p)
(0,0-4)
=(0,-4)
Directrix: y=-4
Will give Brainliest!!!
In this passage, the phrase "territorial integrity"
indicates that the league should offer protection
O for free political elections.
O for all leaders in power.
O from all taxes and tariffs.
O from attacks by other nations.
Answer: D) From attacks by other nations
Step-by-step explanation:
Answer: D. from attacks by other nations.
Step-by-step explanation: TRUST ME!!! Answer correct on Edge! :)
What is the rate of Change in y=8x - 4
Answer:
The slope or rate of change is 8
Step-by-step explanation:
There isn't much to explain, sorry! I hope this helps!
What is the least common denominator of 1/2, 2/3, and 3/4?
48
24
16
12
Answer:
12
Step-by-step explanation:
This is because 2, 3, and 4 can all go into the number and it is the smallest of the ones listed.
Answer: 24
Step-by-step explanation:
1/2 x 12 = 12/24
2/3 x 8 = 16/24
3/4 x 6 = 18/24
Each number can be multiplied by "x" to get a denominator of 24.
Find the area of the shaded sector. Round to the nearest hundredth
Answer:
54.98 sq. ft.
Step-by-step explanation:
The sector has an angle of 360 - 332 = 28
Area of the sector = 28π([tex]15^{2}[/tex])/360
= 19792.03372.../360
= 54.98 sq. ft.
Ruby started off her savings account with $100, and $0 in her checking account. She made $95 washing dishes and deposited it into her checking account. She bought a soda for $2 and then transferred $50 into her savings account. How much money is in each account now?
(Note: when you make purchases, like buying a soda, it comes out of your checking account)
A. She has $100 in savings and $95 in checking
B. She has $143 in her savings account and $50 in checking
C. She has $150 in savings and $43 in checking
D. She has $193 in savings and $0 in checking
Answer:
150+93=241
Step-by-step explanation:
I'm not sure if this is correct but i guess because she got 95 and deposited it into her checking she has 95 and judging on if she spent 2 dollars from her savings or checking i assumed it was savings which leaves it with 148 from 100 after depositing 50 - 2 = 148 so basically
edit: nvm i saw the note now im sure but something i dont understand is that if she made 95 how come the answer choices dont say 93 in checking so im guessing you meant 150+43=193
193 is your answer sorry lol took me a while to work this out or Answer choice C
A PE class has 48 students. One group of 24 students chooses to play volleyball. The teacher then divides the
remaining students into as many groups of 5 as possible to shoot baskets. After that the remaining students (not
on a volleyball or basketball team) climb the rock wall.
How many students climb the rock wall?
students
Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of students who climbs the rock wall is 4.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
The total number of students in the class is 48, out of these 48 students, 24 students choose to play volleyball. Therefore, the remaining students are 24 (48-24).
Students remaining after volleyball
= Total number of students - Number of students who play volleyball
= 48 - 24 = 24
Now, The teacher then divides the remaining students into as many groups of 5 as possible to shoot baskets. Therefore, the teacher divides the remaining 24 students into 4 groups of 5 people. After this, the number of students that are remaining is 4(24-20).
Students remaining after basketball
= Total number of students - Number of students who shoot basketball
= 24 - (4x5)
= 24 - 20 = 4
Further, the remaining students go for climbing the rock wall.
Hence, the number of students who climbs the rock wall is 4.
Learn more about Subtraction:
https://brainly.com/question/1927340
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CAN SOMEONE PLEASE HELP ME
WILL GIVE BRAINLIEST
( ANY LINKS OR WEBSITES WILL BE REPORTED)
Answer:
40
Step-by-step explanation:
80 divided by 2 is 40 and the formula is L times W times Height and the height is 2 so the base is 40 B times H
It's 40
How many inches are equal to 12 cm ?
Answer:
12/2.54 ≈ 4.72 inches
Does the question have no solution, one solution, or a infinite number of solutions?
2x + 3y = 6
2x + 3y = 7
Answer:
No solution
Step-by-step explanation:
I used this online calculator to find the answer. It shows the steps and everything. https://www.symbolab.com/solver?or=gms&query=2x%2B3y%3D62x%2B3y%3D7
Answer:
no solution
Step-by-step explanation:
PLS HURRY
Jaime rode her bike 5 miles north to the park to meet a friend. Then they rode east to the library. If Jaime's house is 13 miles from the library, about how far is the library from the park?
The distance from library and the park is 12 miles.
What is trigonometric Ratios?"Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. It is with respect to any of its acute angles are known as the trigonometric ratios of that particular angle".
For the given situation,
Jaime ride her bike in north = 5 miles
Jaime ride her bike in east = 13 miles
The distance from library and the park be x.
The below diagram shows about the Jaime's riding.
The distance from library and the park can be find by using Pythagoras theorem,
[tex]Hypotenuse^{2} = Perpendicular^{2} + base^{2}[/tex]
On substituting the above values,
⇒ [tex]13^{2} = 5^{2}+x^{2}[/tex]
⇒ [tex]x^{2} =169-25[/tex]
⇒ [tex]x^{2} = 144[/tex]
⇒ [tex]x=\sqrt{144}[/tex]
⇒ [tex]x=12[/tex]
Hence we can conclude that the distance from library and the park is 12 miles.
Learn more about trigonometric ratios here
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Marking brainliest
What is your favorite form of getting exercise?
Answer: Playing sports!!
Deltamath
Please help me I need help!!!!
⚠️Due today!!⚠️.
Answer:
(8,8)
Step-by-step explanation:
x coordinate:
10 + 6
16
16 / 2
8
y coordinate:
6 + 10
16
16 / 2
8
8,8
Darla is creating a family tree. She starts by writing down the names of her two parents. For each of her parents, she writes down the names of their two parents, and so on. After six generations, how many names has she written down, NOT including herself?
PLEASE HELP ME WITH THIS
Answer:
A=1/2 ×1.0×2.4=1.2m² is a required answer
Answer:
1a) = 5
1b) = 4
2a)
A = 1/2 x 2.4 x 1.0
A = 1/2 x 2.4
A = 1.2 m²
Step-by-step explanation:
Here are two rectangular prisms:
K
L
6
5
4
5
5
5
1 Which figure do you think has the longer diagonal? Note that the figures are not drawn to scale
2. Calculate the lengths of both diagonals. Which one is actually longer?
Answer:
hey there buddy
Step-by-step explanation:
Carlos and Clarita were asked to write y=2x2+4x-6 in factored form.
What do you think?
Answer:
2(x+3)(x-1)
Step-by-step explanation:
Because 2x^2+4x-6 can be divided by 2, you can divide them by two. This would make the equation 2(x^2+2x-3). To factor this, you have to find two equation that would make it true. The equation have to be _+_=2 and _x_=-3. The two blanks would be 3 and -1. 3+-1=2 and 3x-1=-3. This means that the equation is 2(x-1)(x+3).
If you need an explanation tell me but if this answer helped you, pls mark as brainliest
Ava wants to draw a parallelogram on the coordinate plane. She
plots these 3 points.
Part A
Find and label the coordinates of the fourth vertex, K, of the
parallelogram. Draw the parallelogram.
Part B
What is the length of side JK? How do you know?
Answer:
[tex]k =(2,1)[/tex]
[tex]JK = 2[/tex]
Step-by-step explanation:
Given
[tex]J = (0,1)[/tex] ---- [tex](x_1,y_1)[/tex]
[tex]H = (1,-2)[/tex] --- [tex](x_2,y_2)[/tex]
[tex]I = (3,-2)[/tex] --- [tex](x_3,y_3)[/tex]
See attachment for grid
Solving (a): The coordinates of K
The parallelogram has the following diagonals: IJ and HK
Diagonals bisect one another. So:
Midpoint of IJ = Midpoint of HK
This gives:
[tex]\frac{1}{2}(I + J) = \frac{1}{2}(H+K)[/tex]
[tex]\frac{1}{2}(x_3+x_1,y_3+y_1) = \frac{1}{2}(x_2+x,y_2+y)[/tex]
[tex]\frac{1}{2}(3+0,-2+1) = \frac{1}{2}(1+x,-2+y)[/tex]
[tex]\frac{1}{2}(3,-1) = \frac{1}{2}(1+x,-2+y)[/tex]
Multiply through by 2
[tex](3,-1) = (1+x,-2+y)[/tex]
By comparison:
[tex]1 + x = 3[/tex]
[tex]-2 + y = -1[/tex]
Solve for x and y
[tex]x = 3 - 1 =2[/tex]
[tex]y = -1 +2 = 1[/tex]
So, the coordinates of k is:
[tex]k =(2,1)[/tex]
The length of JK is calculated using distance (d) formula
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]
[tex]J = (0,1)[/tex] ---- [tex](x_1,y_1)[/tex]
[tex]k =(2,1)[/tex] ---- [tex](x_2,y_2)[/tex]
So:
[tex]d = \sqrt{(0 - 2)^2 + (1 - 1)^2[/tex]
[tex]d = \sqrt{(- 2)^2 + (0)^2[/tex]
[tex]d = \sqrt{4 + 0[/tex]
[tex]d = \sqrt{4[/tex]
[tex]d = 2[/tex]
Hence:
[tex]JK = 2[/tex]
How do I solve this problem?
Step-by-step explanation:
Note 12 is the difference between the numbers..
hope it helps
important question need help
Answer:
options 3 and 4
Step-by-step explanation:
The exponential function f with base a is defined by
f(x) = a^x
so the exponential functions are options 3 and 4
Please I need help with the question now PLEASE HELP
5. Marina lives in a 2-bedroom condominium overlooking a lake. Her expenses are as follows.
•The bi-weekly mortgage and property taxes are $718.
•The condo fees are $525 per month.
•The electricity bill averages $320 bi-monthly.
•The quarterly water bill averages $210.
a) Calculate Marina’s fixed monthly expenses for housing.
b) Calculate Marina’s average monthly expenses for utilities.
c) What is her average total monthly cost for housing?
Answer:
a) $1961
b) $710
c) $2671
Step-by-step explanation:
Bi-weekly mortgage & taxes: 718/2 weeks = 2 x 718 = $1436/month
Condo fees: $525/month
Electricity bill bi-monthly $320/2 weeks = 2 x 320 = $640/month
Water bill is quarterly, so 210/3 months. 210/3 = $70/month
a) housing expenses = mortgage, taxes, condo fees
1436 + 525 = $1961
b) utilities = electricity and water
640 + 70 = $710
c) all expenses listed
1961 + 710 = $2671
help please!!!!!! this is due soon
Answer:
lateral surface area of cone =πrl
132=22/7×r×11132×7=242rr=924/242r=3.81instay safe healthy and happy.Round 2,034,627,105 to the nearest ten thousand.
Answer:
Heyaa!! My name is Pinky and i'm here to inform you that you're answer is...
Step-by-step explanation:
!!! 2,034,630,000 !!!
My calculations are:
You first look at the ten thousands place which is 27,105 and if you look to the right of the 2,
you see 7.5 and up round up 4 and down round down.
7 is 5 and up so, you round up to 2,034,630,000!!
Have a Nice Day!!
~Pinky~
Can someone help me pleaseeee
Answer:
For 20 tickets its 35 dollars
For 50 tickets its 87.50 dollars
For r tickets its 140 dollars
Step-by-step explanation: