First options are negative infinity 100positive infinity Second options are negative infinity 100positive infinity
Answers
Answer:
The left end approaches positive infinity, and the right end approaches 0.
Explanation:
To know the behavior of the function in the left, we need to see what are the values of f(x) when x is smaller, so
For x = -10
f(x) = 10(0.75)^(-10) = 177.57
For x = -20
f(x) = 10(0.75)^(-20) = 3153.37
Therefore, when x is smaller, f(x) increases. It means that the left end approaches positive infinity.
In the same way, we need to see what are the values for f(x), when x is greater
For x = 20
f(x) = 10(0.75)^(20) = 0.0317
For x = 30
f(x) = 10(0.75)^(30) = 0.0017
So, when x increase, f(x) is closer to 0. It means that the right end approaches 0.
So, the answers are
The left end approaches positive infinity, and the right end approaches 0.
Related Questions
PRE-CALC! The graph of y= f(x) is transformed to y= f(x-p)+q to move the graph three units left and three units down find the value of P and Q.
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You know that the graph of:
[tex]y=f\mleft(x\mright)[/tex]is transformed in this form:
[tex]y=f\mleft(x-p\mright)+q[/tex]And it is moved 3 units left and 3 units down.
Then, you need to remember the following Transformation Rules for Functions:
1. When:
[tex]f(x+h)[/tex]The function is shifted "h" units to the left.
2. When:
[tex]f(x-k)[/tex]The function is shifted "k" units down.
Then, knowing these rules, you know that the value of "p" must be negative, in order to get a positive sign when you substitute it into:
[tex]y=f\mleft(x-p\mright)+q[/tex]And the value of "q" must be negative.
Therefore, you get:
[tex]\begin{gathered} y=f\mleft(x-(-3)\mright)+(-3) \\ y=f(x+3)-3 \end{gathered}[/tex]Hence, the answer is: Second option.
In a two hour TV broadcast , the commercials show 18% of the time. How many minutes of commercials are shown during the 2 hour duration of the broadcast ? Round to the nearest 10th of a hundreth.
Answers
Given:
In a two hour TV broadcast , the commercials show 18% of the time.
The number of hours of broadcast is 2 hours.
Required:
We need to find the number of minutes of a commercial show for 2 hours broadcast.
Explanation:
Convert the hours into minutes.
Multiply 2 by 60 to convert hours to minutes.
[tex]2hours\text{ =2}\times60\text{ minutes =120 minutes.}[/tex]18 % of 120 minutes is the commercials.
[tex]\frac{18}{100}\times120=21.6minutes[/tex]21.6 minutes of commercials are shown during the 2 hours duration of the broadcast
Final answer:
21.6 minutes of commercials are shown during the 2 hours duration of the broadcast
Solve the systems of equations by substitutiony=4x+13y=6x+19
Answers
Answer this question using two different strategies.You have decided to make an investment of $2000 in order to save for the purchase of a newcar. You expect to need about $22000 for the car of your choice. Predict when yourinvestment will be enough to purchase the car if you are earning 8.2% compounded quarterly.This is the compound interest formula to determine the final amount invested:A=P(1+i)n where:
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The Solution:
Given:
[tex]\begin{gathered} Formula:\text{ }A=P(1+i)^n \\ \text{ In this case,} \\ A=\text{ \$}22000 \\ P=\text{ \$}2000 \\ n=4\times t=4t\text{ \lparen t=number of years\rparen} \\ i=\frac{8.2}{100\times4}=\frac{8.2}{400}=0.0205 \end{gathered}[/tex]Substitute these values in the formula.
[tex]\begin{gathered} 22000=2000(1+0.0205)^{4t} \\ \\ Dividing\text{ both sides by 2000, we get} \\ \\ (1.0205)^{4t}=\frac{22000}{2000} \\ \\ (1.0205)^{4t}=11 \end{gathered}[/tex]Taking the ln of both sides, we get:
[tex]\begin{gathered} \ln(1.0205)^{4t}=\ln(11) \\ \\ 4t\ln(1.0205)=\ln(11) \\ \\ 4t=\frac{\ln(11)}{\ln(1.0205)} \end{gathered}[/tex][tex]t=\frac{\ln(11)}{4\ln(1.0205)}=29.54134\approx30\text{ years}[/tex]Therefore, the correct answer is 30 years.
What is 3/8 of 200?with work
Answers
Hello!
To calculate 3/8 of 200, first, we have to divide 200 by 8 (to find 1/8 of it). Then, we will multiply the obtained value by 3 (to find 1/8). Look at the reasoning below:
1/8 of 200 is:[tex]\frac{200}{8}=25[/tex]3/8 of 200 is:[tex]25\cdot3=75[/tex]Answer:3/8 of 200 is 75.
2. Choose the type of variation that relates the variables in the table.Xy3158401050joint variationinverse variationcombined variationdirect variation
Answers
Checking the ration of y:x,
[tex]\begin{gathered} \frac{15}{3}=5 \\ \frac{40}{8}=5 \\ \frac{50}{10}=5 \end{gathered}[/tex]As the ratio is constant the variation is a direct variation.
Thus, option (D) is the correct solution..
Yesterday the snow was 2 feet deep today the depth dropped 1.6 feet because it is so warm what is the percent change in a deck of snow
Answers
Given:
Depth dropped from 2 feet to 1.6 feet.
[tex]\begin{gathered} \text{Depth decreased=2-1.6 feet} \\ \text{Depth decreased=}0.4\text{ feet} \end{gathered}[/tex][tex]\begin{gathered} \text{Percentage dropped=}\frac{\text{0.4}}{\text{2}}\times100 \\ \text{Percentage dropped=}20\text{ \%} \end{gathered}[/tex]Find the equation of the perpendicular to 5x+3y=7 and passing through (2,3)
Answers
The first step to solve this problem is arrange the equation in the standard line equation form, which is given below:
[tex]y\text{ = m}\cdot x\text{ + }b[/tex]y = m*x + b
Where "m" is the slope of the line and "b" is the constant shift. To find the perpendicular line we need to find a line with the slope as shown below:
[tex]m_1\text{ =-}\frac{1}{m}\text{ }[/tex]m1 = -1/m
We need to arrange the given expression.
[tex]\begin{gathered} 5x\text{ + 3y = 7} \\ 3y\text{ = 7 - 5x} \\ y\text{ = -}\frac{5}{3}x\text{ + }\frac{7}{3} \end{gathered}[/tex]5x + 3y = 7
3y = 7 - 5x
y = (-5/3)x + 7/3
The slope of the given line is -5/3 to find the perpendicular line we need to find the slope -1/m. Which is done below:
m1 = -1/(-5/3) = -1*(-3/5) = 3/5
The perpendicular line we want has the a slope of 3/5. We can find the constant shift by applying the given point.
Perpendicular:
y = (3/5)*x + b
Applying the point:
3 = (3/5)*2 + b
3 = 6/5 + b
b = 3 - 6/5 = 15/5 - 6/5 = 9/5
Therefore the perpendicular line is given by:
y = (3/5)*x + 9/5
please just tell me what I'm doing wrong, don't tell me the answer, i need to figure it out.
Answers
we have the expression
[tex]\frac{x}{x^2-16}-\frac{3}{x-4}[/tex]REmember that
x^2-16=(x+4)(x-4)
substitute
[tex]\frac{x}{(x+4)(x-4)}-\frac{3}{x-4}[/tex]Multiply by (x+4)/(x+4) the second term
[tex]\begin{gathered} \frac{x}{(x+4)(x-4)}-\frac{3}{x-4}_{}\cdot\frac{x+4}{x+4} \\ \\ \frac{x}{(x+4)(x-4)}-\frac{3x+12}{(x-4)(x+4)}_{} \end{gathered}[/tex]Adds fractions with the same denominator
[tex]\begin{gathered} \frac{x-3x-12}{(x+4)(x-4)} \\ \\ \frac{-2x-12}{(x+4)(x-4)} \end{gathered}[/tex]Factor minus
[tex]-\frac{2x+12}{(x+4)(x-4)}[/tex]Factor 2
[tex]-\frac{2(x+6)}{(x+4)(x-4)}[/tex]simplify with one variable 0.3x+0.6x+3
Answers
Answer:
0.9x + 3
Step-by-step explanation:
0.3x + 0.6x = 0.9x
You have to combine like terms. Since 0.3x and 0.6x both have a like term of x you can combine them. However, 3 doesn't have an x like 0.3x and 0.6x therefore, you can't combine 3 with those terms
Hope this helps!
A cone has a volume of 18.84 cubic meters. The height of the cone is 2 meters. What is length ofthe radius?V=
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Let's write out the formula for the volume of a cone,
[tex]\text{Volume of a cone=}\frac{1}{3}\pi r^2h[/tex]Let's write out the given data,
[tex]\begin{gathered} \pi=3.14 \\ =\text{radius}=\text{?} \\ h=\text{height}=2m \\ \text{Volume}=18.84m^3 \end{gathered}[/tex]Let's substitute our data and solve for the radius,
[tex]\begin{gathered} 18.84=\frac{1}{3}\times3.14\times r^2\times2 \\ 18.84=\frac{1}{3}\times6.28r^2 \end{gathered}[/tex][tex]\begin{gathered} \text{cross multiply} \\ 18.84\times3=6.28r^2 \\ \text{Divide both sides by 6.28} \\ \frac{18.84\times3}{6.28}=r^2 \\ 9=r^2 \\ r=\sqrt[]{9} \\ r=3m \end{gathered}[/tex]Hence, the value for the radius is 3m.
I need help with cross products I need to find the value of x in the problem for 4/9=x/15
Answers
15 is dividing on the right, then it will multiply on the left
9 is dividing on the left, then it will multiply on the right
[tex]\begin{gathered} 4\cdot15=x\cdot9 \\ 60=x\cdot9 \end{gathered}[/tex]Now, 9 is multiplying on the right, then it will divide on the left
[tex]\frac{60}{9}=x[/tex]Consider triangle ABC, where angle C = 90⁰ and angle A + angle B = 9
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Take into account that two angles are complmentary if their sum is equal to 90°.
Then, the corect stament is:
Angles A and B are complementary
Hello, I need some assistance with this homework question please for precalculusHW Q27
Answers
D. ±1 , ±1/11
Explanation:
. The trailing coefficient (the coefficient of the constant term) is 1.
=> Find its factors (with the plus and the minus sign): ±1 (possible values of p).
. The leading coefficient (the coefficient of the term with the highest degree) is 11.
=> Find its factors (with the plus and the minus sign): ±1, ±11 (possible values of q).
. Find all possible values of p/q: ±1/1, ±1/11
. After simplifying and removing the duplicates (if any
=> ±1, ±1/11
f(x) = 3x2 - 4x + 2; f(x - 1)
Answers
Answer:
They are parallel lines.
Positive lines
Step-by-step explanation:
You can plug both equations into desmos and you can see for yourself.
Also if it was f(-1), it would equal 0. If it was f(1) it would equal 4. But those are not what you are asking for. The second equation is a y-intercept on (0,0)
Hope this helps :)
Using 3.14 as an approximation[tex]\pi[/tex]How many cubic feet of concrete are needed to build the driveway? (Round to the nearest cubic foot)
Answers
1) Considering that that driveway has the shape of a semicircle, and that distance from point X to Y be its diameter, we can write:
Perimeter
[tex]C_{\text{semicircumference}}=\frac{2\cdot\pi\cdot r}{2}=3.14\cdot5\text{ =15.7 }ft[/tex]We can't forget that the question asks us the volume filled in by that asphalt into that semicircle. So let's calculate the Volume of that
[tex]undefined[/tex]Justin will choose between two restaurants to purchase pizzas for his party. The first restaurant charges a delivery fee of $9 for the entire purchase and $12 per Pizza. II restaurant charges a delivery fee of $1 for the entire purchase and $13 per pizza.Let x be the number of pizzas purchased.(a) For each restaurant, write an expression for the total change of purchasing x pizzas (with delivery). Total charge from the first restaurant (in dollars) = ??Total charge from the second restuarant (in dollars). = ??(b) Write an equation to show when the total charge (with delivery) would be the same for each restaurant.
Answers
(a)
First Restaurants
Let x be number of pizzas purchased
Total charge = 12x + 9
Second Restaurants
Let x be number of pizzas purchased
Total charge = 13x + 1
(b)
Total would be equal when
12x + 9 = 13x + 1
collect like terms
13x - 12x = 9 - 1
x = 8
Total charge for both restaurants will be equal when the total number of pizzas purchased is 8
What is 1/4x - 3 = 1/2x + 12With steps
Answers
we have the equation
[tex]\frac{1}{4}x-3=\frac{1}{2}x+12[/tex]Solve for x
step 1
Group similar terms
[tex]\frac{1}{2}x-\frac{1}{4}x=-3-12[/tex]step 2
Combine like terms
[tex]\frac{1}{4}x=-15[/tex]step 3
Multiply by 4 on both sides to remove the fraction and isolate the variable x
[tex]\begin{gathered} 4*\frac{1}{4}x=-15*4 \\ simplify \\ x=-60 \end{gathered}[/tex]Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth. sin 87° =
Answers
The circle below is centered at (10, 4) and has a radius of 4. What is itsequation?A. (x-10)2 + (y-4)2 = 16O B. (x-4)2 + (x-10)2 = 4C. (x-4)2 + (y-10)2 = 16D. (x-10)2+(y-4)2 = 4
Answers
SOLUTION
The general form for the equation of a circle is given as
[tex](x-a)^2+(y-b)^2=r^2_{}[/tex]where the center of the circle is (a,b) and the radius r
Given a center (10,4) and r=4
The equation of the circle becomes
[tex]\begin{gathered} a=10,b=4,r=4 \\ (x-10)^2+(y-4)^2=4^2 \end{gathered}[/tex]Then the equation becomes
[tex](x-10)^2+(y-4)^2=16[/tex]TherefThe right option is A
14 Which number makes this equation D true? 6/8= /4a.2b.3c.4d.6
Answers
Answer:
Option B. 3
Because if you divide by 2 both the numerator and denominator, you get 3/4
Which of the following rational functions is graphed below?10- 10101,10
Answers
Let's find the vertical assymptotes. Therefore, the vertical assymptotes is found when we equates the denominator to zero.
[tex]\begin{gathered} (x+5)^2=(x+5)(x+5) \\ (x+5)(x+5)=0 \\ x=-5\text{ } \\ 0r\text{ } \\ x=-5 \end{gathered}[/tex]The graph of the function is therefore,
[tex]f(x)=\frac{1}{(x+5)^2}[/tex]In the coordinate plane shown point not shown) lies on segment AB. Vf the ratioof the length of segment AC to the length of segment CB is 3:1, what is the y-coordinate of point C. Round to the nearest tenth.
Answers
We know that the point C lies in the segment AB. Since the ratio between AC and CB is 3:1, we also know it lives in the first 1/4 of the segment.
To calculate the point at 1/4 of the segment, we can find the midpoint, and then the midpoint of the segment made with point A and the midpoint.
The midpoint y-coordinate is given by:
[tex]\frac{y_1+y_2}{2}=\frac{4+10}{2}=7[/tex]Now, calculating the midpoint between the midpoint of the segment AC and A, we have:
[tex]\frac{4+7}{2}=\frac{11}{2}=5.5[/tex]And this is our answer. The y coordinate of the point C is 5.5
what number could replace c below 4/8=c/4
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The correct answer is 2
I need help with math
Answers
ANSWER
Length (x) = 25 feet
EXPLANATION
Given:
Desired Outcome:
Length (x) of the ladder
Solve for Length (x) using Pythagoras Theorem
[tex]\begin{gathered} Hyp^2\text{ = Opp}^2\text{ + Adj}^2 \\ x^2\text{ = \lparen x - 1\rparen}^2\text{ + \lparen x - 18\rparen}^2 \\ x^2\text{ = x}^2\text{ -x -x + 1 - x}^2\text{ - 18x - 18x + 324} \\ x^2\text{ - 38x + 325 = 0} \\ (x\text{ - 25\rparen\lparen x - 13\rparen = 0} \\ x\text{ = 25 or x = 13} \end{gathered}[/tex]when x = 13
x - 1 = 13 - 1 = 12
x - 18 = 13 - 18 = -5 (length cannot be negative)
when x = 25
x - 1 = 25 - 1 = 24
x - 18 = 25 - 18 = 7
Hence, the length of the ladder is 25 feet.
A rancher needs to build a square pen for cattle with an areaabout 625 square yards. What are the dimensions?
Answers
The area of any square pen can be calculated as:
[tex]\text{Area}=a^2[/tex]Where a is the length of the squa
So, if we replace the Area by 625 and we solve for a, we get:
[tex]\begin{gathered} 625=a^2 \\ \sqrt{625}=\sqrt{a^2} \\ 25=a \end{gathered}[/tex]Therefore the dimensions of the square yard are 25
Select the equation of the line that passes through the point(3, -1) and is parallel to the line on the graph (slope=0). (2 pcO ay = -1oby = 3cy = x-1Ody = 3x -1
Answers
The equation of a line that passes through the point (x1, y1) is calculated as:
[tex]y-y_1=m(x-x_1)[/tex]Where m is the slope and this slope should be the same slope of the line on the graph.
Since the line of the graph is a horizontal line, the slope is 0. So replacing m by 0 and (x1, y1) by (3, -1), we get:
[tex]\begin{gathered} y-(-1)=0(x-3) \\ y+1=0 \\ y=-1 \end{gathered}[/tex]So, the equation of the line that passes through the point(3, -1) and is parallel to the line on the graph is y = -1
Answer: y = -1
A woman deposited $560 in a bank.a The bank decided to give all its customers 4.5% interest. Calculate how much she received in interest.b The next year she had $720 in the bank and received $27.36 interest. What was the percentageinterest rate?
Answers
Given:
Amount = $560
a) interest = 4.5 % = 4.5/100= 0.045 (decimal form)
560 x 0.045 = 25.2
b)
Amount = $720
Interest = $27.36
720 r = 27.36
Where r is the interest rate in decimal form:
r = 27.36 /720
r= 0.038
r = 0.038 x 100 = 3.8 %
Answers:
a) $27.36
b) 3.8 %
Explain why the given conclusion uses inductive reasoning:3 + 5 = 8 and 13 + 5 = 18, therefore the sum of of two numbers is an even number (Geometry)
Answers
Answer:
Inductive reasoning is when we observe specific situations and then we use them to create a general conclusion.
In this case, we take two examples, 3 + 5 = 8 and 13 + 5 = 18 in which the sum of the numbers is an even number. So, we generalize and say that the sum of two numbers is an even number.
This is not always true because for example:
4 + 5 = 9
And 9 is not an even number.
Name Kuta Software - Infinite Algebra 2 Graphing Absolute Value Equations Graph each equation. 1) y = |x-1| De 52.02 2) yra -3 -2 1
Answers
Question:
Graph
Solution:
To solve this problem, we use the function transformations on the value absolute function (the original function) :
Consider the value absolute function f(x) = I x I :
Now, if we apply a horizontal shift of the original function f(x) = I x I, such that we want to shift the original function to the right 2 units, we get the function f(x) = I x-2 I, and its graph is:
Finally, if we reflect the above graph in the x-axis, we must multiply it for -1. Then, we get the function f(x) = -I x-2 I, and its graph is:
Then, the correct graph of the given function is: