Describe the end behavior of the function.
f(x)=3(1/5)^x-2
Answers
Answer:
The leading coefficient test requires a polynomial.
Not a polynomial
Step-by-step explanation:
Answer:
x → -∞, f(x) → ∞
x → ∞, f(x) → -2
Step-by-step explanation:
f(x) is an exponential function with a base less than 1. It represents decay, so will approach infinity as x approaches negative infinity. It will approach a horizontal asymptote for large positive x.
The -2 added to the exponential term moves the asymptote from y=0 to y=-2.
x → -∞, f(x) → ∞
x → ∞, f(x) → -2
Related Questions
can anyone give definition of liner expression
need it ASAP
Answers
Answer:
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line
Step-by-step explanation:
u single?
Expand the following expressions and write in standard form. Show your work.
a) (3x + 2)(1 - 4x)
b) (x - 5)^2(2x + 7)
Answers
Easy question
A father is 35 years more than his son’s age. After 5 years the father’s age will be twice of his son’s age.Find the present age of both.
Answers
The son is 30 years and the father is 65 years.
Let x represent the present age of the son and y represent the present age of the father.
Hence:
y = x + 35
-x + y = 35 (1)
In 5 years time:
y + 5 = 2(x + 5)
y + 5 = 2x + 10
-2x + y = 5 (2)
Solving equations 1 and 2 simultaneously gives:
x = 30, y = 65
The son is 30 years and the father is 65 years.
Find out more on equation at: https://brainly.com/question/2972832
Son = 30 years
Father = 65 years
Present Details:
Son: "s" years (lets consider son's present age to be s)
Father: "s + 35" (father is 35 years older than the son)
After 5 years:
Son: "s + 5" [son will be 5 years older]
Father: 2(s + 5) [twice the son's age] and (s + 35) + 5 = (s + 40) years
Solve father's age simultaneously:
2(s + 5) = (s + 40)2s + 10 = s + 402s - s = 40 - 10s = 30⊕ Thus, the Son is 30 years old.
Father's age:
s + 35 ⇒ 30 + 35 ⇒ 65 yearsPlease help I need work shown!!
Answers
3x-11=2x+11
x=22
3x-11=55
2x+11=55
55+55+2y=180
2y=70
y=35
x=22 , y=35
For any number n>1, is
п
2 3
+ i
3
4
a. Greater than 1?
b. Less than 1?
C. Equal to 1?
Answers
A because the > symbol means greater so if n is on the open side that means its greater
~Shoto Todoroki here~
its option A
i figured this out by trial and error :/
have a good day!
A bowl contains only red marbles, blue marbles and green marbles. The probability of selecting a red marble from the bowl is 3/13. The probability of selecting a blue marble from the bowl is 2/5. There are fewer than 100 marbles in the bowl. What is the probability of selecting a green marble and then a red marble from the bowl on the first two selections, assuming marbles are not returned to the bowl after being pulled
Answers
====================================================
Explanation:
3/13 = 15/65 after multiplying top and bottom by 5
2/5 = 26/65 after multiplying top and bottom by 13
Let's say there are 65 marbles in the bowl. That would mean 15 of them are red (since 15/65 reduces to 3/13) and 26 are blue. That gives 15+26 = 41 so far. Leaving 65-41 = 24 marbles that must be green.
The probability of selecting a green marble is 24/65. Once that first green marble is taken out, it is not replaced. We have 65-1 = 64 marbles left, 15 of which are red. The probability of picking red on the second selection is 15/64.
Multiply the fractions mentioned:
(24/65)*(15/64)
(24*15)/(65*64)
360/4160
9/104
The number of football games with a score less than or equal to 29 is equal to half the number of basketball games with a score greater than or equal to
.
For both sports, if the only games won were those with scores of 30 or higher, how many more basketball games were won compared to football games won?
What is the difference between the total maximum possible points scored by the basketball team last year and the total maximum possible points scored by the football team last year?
points
Answers
Answer:
basketball player scored 40 points in a game. The number of three-point field goals the player made was 22 less than three times the number of free throws (each worth 1 point). Twice the number of two point field goals the player made was 11 more than the number of three point field goals made. Find the number of free-throws, two point field goals, and three point field goals that the player made in the game.
Once I have the equations I understand how to do the problem, but I am obviously doing something wrong because each time I write out the equations I end up getting fractions.
C. Because slope =
rise over run the slope of a "downhill" line must be
run
Answers
hi i need help with this
Answers
Answer:
15 in
Step-by-step explanation:
d^2 = w^2 + l^2
25^2 = 20^2 + l^2
l^2 = 225
l = 15
Raymond has 3 pounds of birdseed. He has 5 bird feeders in his yard. How much seeds can he put in each feeder?
Answers
Answer:
The answer is 0
Step-by-step explanation:
Based on the given conditions, formulate: 3 ÷ 5
Evaluate the equation/expression: 0.6
Find the largest integer less than or equal to : 0.6 : 0
Answer: 0
[tex] \sf \: If (3x-1) ^{7} = a _{7} x ^{7} + a _{6} x ^{6} + a _{5} x ^{5}+.... \\ \sf + a₁x + a _{0}, then \: \: a_0 + a₁ + a₂ + a_3 + a_4 + a_5 + a_6 + a7 = [/tex]
a)0
b)1
c)128
d)64
Please solve this for me. Need step-by-step explanation. Spam free answer required. Thank you in anticipation.
Answers
Answer:
hope it helps have a great day
Answer is option C
I added the step by step process in the pic attached, I don't know how to explain it very well but you can use binomial theorem for (3x-1)^7
Then you can add up all the coefficients of the calculated values as the question mentions afterwards a^7 + a^6 +..... which means it only wants you to add up the coefficients of the consecutive x terms, otherwise it would say a^7x^7 + a^6x^6 +..... and so on
Hope this helps :)
solve 4x-y=-5 -2x+3y=10
Answers
Answer:
(x,y) =(7/2,4)
In a hypothetical economy, current inflation-adjusted economic output is rising and is expected to continue rising in the coming months. This economy is currently in the___
peak stage of the business cycle
trough stage of the business cycle
contraction stage of the business cycle
expansion stage of the business cycle
Answers
The economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.
The business cycle consists of the following stages which changes with time;
Expansion stage: continuous rise in economic output.Peak stage: maximum economic output.Contraction (recession) stage: a continuous decline in economic output.Trough stage: the point of lowest economic output.Thus, when the economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.
Learn more about business cycle here: https://brainly.com/question/904465
AGHHHHHH I REALLY NEED HELP!!!!!!!!!!!! (pls actually answer it though!)
tysm if u answer it:)
Answers
Answer:
23/99 or 0.22222222222222.
Step-by-step explanation:
Answer:
23/99
Step-by-step explanation:
HELPPP Provide the missing statements and reasons for the following proof:
Given: Line m is parallel to line n.
Prove: ∠1 is supplementary to ∠2.
Answers
The missing statements and reasons in the proof showing that ∠1 is supplementary to ∠2 are:
S2: ∠2 ≅ ∠3
R2: corresponding angles
S3: m∠2 ≅ m∠3
R3: Definition of congruent angles
R5: Definition of supplementary angles
S7: m∠1 + m∠2 = 180°
S8: ∠1 is supplementary to ∠2
Given the proof to show that ∠1 is supplementary to ∠2, thus:
Since lines m and n are parallel to each other,
∠2 and ∠3 are corresponding angles, so, ∠2 ≅ ∠3 based on the corresponding angles theorem.
Since ∠1 and ∠3 form a linear pair, they are supplementary to each other.
By substitution, we would have m∠1 + m∠2 = 180°.
Therefore, we can conclude that ∠1 is supplementary to ∠2.
In summary, the missing statements and reasons in the proof showing that ∠1 is supplementary to ∠2 are:
S2: ∠2 ≅ ∠3
R2: corresponding angles
S3: m∠2 ≅ m∠3
R3: Definition of congruent angles
R5: Definition of supplementary angles
S7: m∠1 + m∠2 = 180°
S8: ∠1 is supplementary to ∠2
Learn more about supplementary angles on:
https://brainly.com/question/12919120
I neeeed the answer I’m mad confused
Answers
Answer:
KNOW PAIN FEEL PAIN ACCEPT PAIN
work:
50,000 • 0.19 = 9,500
This is my last question I need help please
Answers
Answer:
.11
Step-by-step explanation:
it is correct
Answer:
A) $.11
Step-by-step explanation:
A dozen = 12
To find unit cost you divide cost of items by # of items
In this case we have 12 eggs that cost 1.35
So unit cost = 1.35 / 12 = .11
evaluate if r=12 s= -4 t= -6
8-r/-2
Answers
Answer:
8-r/-2
8-12/-2
-4/-2
2
This is the answer
I think this will help you
if 3a-b=3 and a+2b=15, then a+b ?
Answers
Step-by-step explanation:
please mark me as brainlest
Solve the equation 2 sec² x = 3 - tan x for the domain 0° ≤ x ≤ 360°
Answers
[tex]2 \sec^2 x = 3- \tan x \\\\\implies 2(1 +\tan^2 x) = 3- \tan x \\\\\implies 2 + 2 \tan^2 x +\tan x -3 =0\\\\\implies 2 \tan^2 x + \tan x -1 =0\\\\\implies 2u^2 + u -1 =0~~~ ;[\text{set} \tan x = u]\\\\\implies u = \dfrac{-1\pm \sqrt{1-4\cdot 2 \cdot (-1)}}{2(2)}\\\\\implies u =\dfrac{-1 \pm\sqrt{9}}{4}\\\\\implies u = \dfrac{-1 \pm 3}{4}\\\\\implies u = \dfrac{2}{4}=\dfrac 12~~ \text{or} ~~u =\dfrac{-4}{4} =-1\\\\[/tex]
[tex]\implies \tan x = \dfrac 12 ~~ \text{or} ~~ \tan x =-1~~~ ;[\text{Substitute back u =tan x}]\\\\\text{Now,}~ \\\\\tan x = -1,\\\\\implies x = n\pi - \dfrac{\pi}4\\\\\\\text{For interval,}~ [0,2\pi) \\\\x = \dfrac{3\pi}4, \dfrac{7\pi}4\\\\\text{In degrees,}~ x = 135^{\circ}, x =315^{\circ}\\\\\tan x = \dfrac 12\\\\\implies x = n\pi + \tan^{-1} \left(\dfrac 12 \right)\\\\\text{For interval} ~[0,2\pi),\\\\[/tex]
[tex]x=\tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\text{in degrees,} ~~x=\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\\\\text{Combine all solutions:}\\\\x=\dfrac{3\pi}4, \dfrac{7\pi}4, \tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\[/tex]
[tex]\text{In degrees,}~ x = 135^{\circ},~315^{\circ},~\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right][/tex]
9.A construction company is building a roof on a house. The horizontal distance from the edge of the
roof to the peak is 25 ft. The vertical distance from the edge of the roof to the peak is 6.25 ft. Determine
the slope of the roof. Leave your answer in simplest form.
Answers
Answer:
Step-by-step explanation:
slope=(vertical distance)/(horizontal distance)=(6.25)/25=0.25
How am I supposed to solve this math problem that Edmentum gave me?
“Dear Dr. Jones,
Our pharmaceutical company now received 47 complaints about the new pain reliever NoPain, created in your lab. Of the 47 complaints, 24 said their headache got worse, 15 said they had severe cramping after taking the medication, and 8 said they had both problems. We have only been distributing this pain reliever for about 30 days and we are very concerned. It has cost our company roughly 1.2 million dollars to create the drug and we have recorded sales of $98,600 in the past month at $10 a bottle, so that is 9,860 bottles. Should we be concerned? Do you think we should pull the product and conduct more research? We may end up losing money on this if we pursue this course of action. Should we keep the product on the shelves and secretly do more research? Or should we just do nothing for the time being, wait it out, and see what happens? Please get back to us as soon as possible with your recommendation.
Thank you,
Jane Smith
Head of Customer Relations
Using your basic mathematical skills, calculate how long it will take the pharmaceutical company to earn back the amount that it had invested, if it continues to sell the product at the current selling rate.”
Answers
Answer: usually I’d answer the question but when it comes to really long questions especially in edmentum…
Step-by-step explanation:
I hit the submit button and go on myassignmenthelp.com or something like that and it’ll paraphrase the answer… I’d do it a couple times
What are objects that are 1 kg
Answers
Answer:
One liter of water.
A Pineapple.
A Bunch of Bananas.
A 1 liter bottle of water
Plz help I really need help, I’m gonna give brainlist
Answers
Answer:
angle 4 is 47 degrees....
What is the length of the line?
answer choices
A 7
B 10
C 29
D 21
Answers
Answer:
[tex]\sqrt{29}[/tex]
Step-by-step explanation:
The line has a horizontal length of 2 units and a vertical length of 5 units
The line is then the hypotenuse h of a right triangle.
Using Pythagoras' identity
h² = 2² + 5² = 4 + 25 = 29 ( take square root of both sides )
h = [tex]\sqrt{29}[/tex]
The length of the line given is √29 units.
Hence, the correct option is C.
Given is line on the cartesian plain we need to calculate its length.
Refer to the figure attached.
The figure can be converted into a right triangle with perpendicular = 5 units and the base = 2 units.
The line asked will act as the hypotenuse, so, to find its length we will use the Pythagorean theorem,
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the perpendicular side of the right triangle is given as 5 units, and the base is given as 2 units.
Let's denote the length of the hypotenuse as 'x'.
According to the Pythagorean theorem, we have:
x = 5² + 2²
Simplifying this equation:
x² = 25 + 4
x² = 29
To find the length of the hypotenuse, we take the square root of both sides:
x = √29
So, the length of the hypotenuse, in this case, is approximately √29 units.
Learn more about Pythagorean theorem, click;
https://brainly.com/question/14930619
#SPJ6
find.
number y if 2/5of y is 22
Answers
y=55
Reason
If 2/5y =22,
then 1/5y=11.
11 x 5 =55
helpppppppppppppppppppppp plzzzzzzzzzzzzzz
Answers
Answer: x= -2, y= 3
Step-by-step explanation:
3x+5y=9
X-y=-5
Multiply bottom equation by 5
3x+5y=9
5x-5y=-25
3x + 5x=8x
5y-5y cancels out
9-25= -16
8x= -16
X= -2
Plug -2 back into equation of choice to find y
3(-2)+5y=9
-6+5y=9
Add -6 to both sides
-6+6 cancels
9+6=15
5y=15
Y=3
Are these figures below similar?
NO LINKS!! NEED ANSWER ASAP
Answers
Hope this helps
The price of a computer is first reduced by 10% and after a while by another 20%. Who is right? Explain how you are thinking.
Almir: In total, the price has been reduced by 30%.
Bodil: The reduction is less than 30%. Viktor: The price has been reduced by more than 30%.
Answers
if u reduced the price by 10% first it would go from 100% to 90%
20% of 90 is 18
at the end the price is 72% of the original price.
Bodil is correct. The reduction is less than 30%.
Given z varies jointly as x and y, use the given values to find an equation that relates x, y, and z.
x = 3, y = 8, and z = 54
Answers
Answer:
z = 2.25xy
Step-by-step explanation:
Given z varies jointly as x and y then the equation relating them is
z = kxy ← k is the constant of variation
To find k use the condition x = 3, y = 8 and z = 54 , then
54 = k × 3 × 8 = 24k ( divide both sides by 24 )
[tex]\frac{54}{24}[/tex] = k = 2.25
z = 2.25xy ← equation of variation