f(x) = log10 (x) + 5
Answers
Answer:
Find the asymptotes.
Set the argument of the logarithm equal to zero.
x+5=0 . Subtract 5
from both sides of the equation. x=−5
The vertical asymptote occurs at x=−5
Vertical Asymptote: x=−5
Find the point at x=−4
Replace the variable x with −4
in the expression.
f(−4)=log((−4)+5)
Simplify the result. Add −4 and 5
f(−4)=log(1) Logarithm base 10 of 1 is 0
f(−4)=0
The final answer is 0
Convert 0 to decimal. y=0
Find the point at x=5. Replace the variable x with 5
in the expression.
f(5)=log((5)+5)
Simplify the result. Convert 1 to decimal. y=1
Find the point at x=−3
Replace the variable x with −3
in the expression.
f(−3)=log((−3)+5)
Simplify the result.
log(2) . Convert log(2) to decimal. y=0.30102999
The log function can be graphed using the vertical asymptote at x=−5 and the points (−4,0),(5,1),(−3,0.30102999)
Vertical Asymptote: x=−5
x y
−4 0
−3 0.301
5 1
Step-by-step explanation:
Related Questions
the sum of x and five is the product of 3 and x increased by 13
Answers
Answer:
x = -4
Step-by-step explanation:
[tex]x + 5 = 3x + 13[/tex]
Subtract [tex]3x[/tex] from both sides of the equation. You get:
[tex]-2x + 5 = 13[/tex]
Subtract 5 from both sides:
[tex]-2x = 8[/tex]
[tex]x = -4[/tex]
Elijah is taking a multiple choice test with a total of 100 points available. Each
question is worth exactly 2 points. What would be Elijah's test score (out of 100) if he
got 8 questions wrong? What would be his score if he got x questions wrong?
Score with 8 questions wrong:
84
Score with x questions wrong:
Answers
Answer:
84 and then 100-2x
Step-by-step explanation:
i dont know how but i know thats right
PLESE HELP, I WILL MARK ANSWER!!!!!!
Answers
The native bird population in a city is decreasing at a rate of 10% per year after 1 year the population of native birds is 14000 complete the recursive defined function to describe the situation.
Answers
The recursively defined function that describes the given situation would be f(n) = f(n-1) x 0.9, after four years, 9185 birds will be remaining.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
The native bird population in a city is decreasing at a rate of 10% per year after 1 year the population of native birds is 14000.
f(0) = 14000
f(n) = f(n-1) x 0.9
f(1) = f(0) x 0.9
= 14000 x 0.9
= 12600
f(2) = f(1) x 0.9
= 12600 x 0.9
= 11340
f(3) = f(2) x 0.9
= 11340 x 0.9
= 10206
f(4) = f(3) x 0.9
= 10206 x 0.9
= 9185.4
Therefore, after four years, 9185 birds will be remaining.
Learn more about function;
https://brainly.com/question/12431044
Answer:14000, 0.9, 10206
Step-by-step explanation:
pluto- just took the test
compare these amounts. use or =.
8oz ________ 8 cups
Answers
Answer:
8 cups is greater then 8 oz
Step-by-step explanation:
given f(x) = 6 (1 - x) +11 what is the value of f(8)
Answers
= 6 (-7) + 11
= -42 +11
= -31
Two percent of the customers of a store buy cigars. Half of the customers who buy cigars buy beer. 25 percent who buy beer buy cigars. Determine the probability that a customer neither buys beer nor buys cigars.
Answers
Answer:
0.95
Step-by-step explanation:
The computation of the probability that a customer neither buys beer nor buys cigars is given below;
Given that, the probabilities are
The customers who purchased cigars be 0.02
The customers who purchased cigars + beer 0.50
And, the customers who purchased beer + cigars be 0.25
Now the probabilities where the customer purchased both
= 0.05 × 0.02
= 0.10
The probability where the customer purchased beer is
= 0.01 ÷ 0.25
= 0.04
Now the probability where a customer neither buys beer nor buys cigars is
= 1 - 0.02 + 0.04 - 0.01
= 0.95
Which expression is equivalent to the one given? 3 ( 2 n − 4 ) + 6 n
Answers
Answer:
7n-12
Step-by-step explanation:
Answer:
Step-by-step explanation:
12 n - 12
Can someone help me out with this?
Answers
i Think all are correct not sure tho
Answer:
See below.
Step-by-step explanation:
Note: I am considering that you are supposed to think of the graph maximum point as P(x, y) = P(0, 25).
It means that the absolute maximum at x = 0, so f(0) = 25.
What is the maximum of this graph and what does it represent?
When the ball is on the ground? No, once the maximum of this graph is 25 feet and the ground is 0 feet, the statement is false.
Where the ball ended? No, the final position is h = 0 feet, not h = 25 feet.
Where the ball started? Yes, the ball was dropped in h = 25 feet.
It represents the highest point on the graph? Yes.
25 feet? Yes.
80% of p is 20. What is p? 75% of b is 12. What is b?
Answers
Step-by-step explanation:
80% of p = 20
=> 0.8p = 20, p = 20 / 0.8 = 25.
75% of b = 12
=> 0.75b = 12, b = 12 / 0.75 = 16.
Answer:
[tex]80\% \: of \: p = 20 \\ \frac{80}{100} p = 20 \\ \frac{4}{5} p = 20 \\ p = \frac{20 \times 5}{4} \\ \boxed{p = 25}[/tex]
25 is the right answer.[tex]75\% \: of \: b = 12 \\ \frac{75}{100} b = 12 \\ \frac{3}{4} b = 12 \\ b = \frac{12 \times 4}{3} \\ \boxed{b = 16}[/tex]
16 is the right answer.Write an expression that will tell us how many calories
are in a package with m cookies and n crèmes per
cookie.
Answers
Answer:
300
Step-by-step explanation:
i have a box and cremes
someone help
thank you
Answers
Answer:
30000+200000
Step-by-step explanation:15% bc its 3 years, 15% of 200000 is 30000
Answer: 230 000
Step-by-step explanation:
2017 - 2014 = 3
if each year it goes up by 5% and it's already been 3 yrs.
then 3 x 5 = 15%
now it's at 15 %
Value :
200 000(0.15)
= 30 000
Cost of house after 3 yrs :
200 000 + 30 000
= 230 000
joe borrowed 12 books from the library four books were for himself the rest were for his little brother how can the number of books that were for his little brother be found?
a. multiply 4 times 12
b. subtract 4 from 12
c. add 4 and 12
Answers
Answer:
subtract 4 from 12
Step-by-step explanation:
3 lbs converted into ounces
Answers
Answer:
48 ounces
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
please get this done quick
Answers
Answer:
its A: (-1,-1/2)
Step-by-step explanation:
Find the holes in the graph by factoring and cancelling.
Find the perimeter of triangle QRS
helppp plzzz thx
Answers
Answer:
A. 36 cm
Step-by-step explanation:
Perimeter = SQ + RS + RQ
✔️Find SQ:
SN = SM = 10 cm (tangents drawn from an external point)
QL = QN = 2 cm (tangents drawn from an external point)
SQ = SN + NQ
SQ = 10 + 2 = 12 cm
✔️Find RS:
RS = RM + MS
RM = RL = 8 - 2 = 6 cm
MS = 10 cm (given)
Therefore,
RS = 6 + 10 = 16 cm
✔️RQ = 8 cm (given)
Thus:
Perimeter = SQ + RS + RQ
Perimeter = 12 + 16 + 8 = 36 cm
An electrician charges $40 to come to your house . She also charges $55 for each hour that she works .The electrican changes you a total of $190.How many hours does the electrican work at your house
Can you please tell me what yo write on my tape diagram
Answers
Answer:
about 2.72 hours
Step-by-step explanation:
set up the equation:
40 + 55h = 190
subtract 40 from both sides
55h = 150
now divide both sides by 55
h = 2.72
Use the Distributive property to write each expression as an equivalent algebraic expression.
7(-2x + 6)
Answers
Answer:
Step-by-step explanation:
we will use distributive property to write an equivalent expression:
7(-2x)+7(6)
-7.4r - 6.31 = 3.23 - 5.6r
Answers
Answer:
r=−5.3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−7.4r−6.31=3.23−5.6r
−7.4r+−6.31=3.23+−5.6r
−7.4r−6.31=−5.6r+3.23
Step 2: Add 5.6r to both sides.
−7.4r−6.31+5.6r=−5.6r+3.23+5.6r
−1.8r−6.31=3.23
Step 3: Add 6.31 to both sides.
−1.8r−6.31+6.31=3.23+6.31
−1.8r=9.54
Step 4: Divide both sides by -1.8.
−1.8r/−1.8=9.54/−1.8
r=−5.3
Plssssssssssssssssssssssssss
Answers
I hope that helps you!
Answer:
9
Step-by-step explanation:
1/9(9^2)
1/9(81)
9
what is equal to 18 tens
Answers
Answer:
180
Step-by-step explanation:
so if it is addition like I assume it is, you would do this:
18 +18 +18 +18 +18 +18 +18 +18 +18 +18
that is also equal to 18x10.
so 18 ten times. a simple trick for multiplying by ten is just adding a zero, so 18x10 is 180.
I THINK THIS IS RIGHT LOL
Hey there!
18 * 10
≈ 18 + 18 + 18 + 18 + 18 + 18 + 18 + 18 + 18 + 18
≈ 36 + 36 + 36 + 36 + 36
≈ 72 + 72 + 36
≈ 144 + 36
≈ 180
Therefore, the answer should be: 180
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Which graph shows the system 1 x++y=2 ? [x2 + y2 =9
Answers
Answer:
The graph of the system in the attached figure
Step-by-step explanation:
we have
isolate the variable y
----> equation A
This is the equation of a vertical parabola open down (because the leading coefficient is negative)
The vertex represent a maximum
the vertex is the point (0,2)
---> equation B
This is the equation of a circle centered at (0,0) with radius 3 units
The solution of the system of equations is the intersection points both graphs
using a graphing tool
The solutions are the points (-2.05,-2.19) and (2.05,-2.19)
see the attached figure
Answer:
It's C!
Step-by-step explanation:
Just got it right :>
To find the quotient 5/7 divided by 1/3 multiply..
Answers:
Multiply 7/5 by 1/3
Multiply 7/5 by 3
Multiply 5/7 by 3
Multiply 5/7 by 1/3
Answers
Answer:
Multiply 5/7 by 3
Step-by-step explanation:
To find the quotient (division) multiply by the reciprocal. The reciprocal of 1/3 is 3.
True or False: 4×4×4+5×5 = 43 + 52
Answers
Answer:
False
Step-by-step explanation:
4x4=16
16x4=64
5*5=25
64+25=89
Therefore the answer is false, because 89 is not equal to 95.
Answer:
false
Step-by-step explanation: you don't really need this part but all you need to know is that it is false :)
what is 2÷ 5/12 ??? pls help me im rly stuck on this question??
Answers
Answer:
4.8
Step-by-step explanation:
Consider Triangle ABC with vertices O (0, 0), A (a, 0), and B (b, c). Sketch a diagram and
prove that all altitudes intersect each other at one point.
Answers
Answer:
I'm truly sorry I have no idea I'm only here for points
Find the value of x.
Answers
Answer:
Since all angles of a triangle are equal (60°), it's an equilateral triangle hence all sides are equal.
hence x = 16 units
Write a quadratic equation in the form x² + bx+c=0 that has the following
roots:
Roots: {5,1}
Answers
Answer:
x^2-6x+5
Step-by-step explanation:
To have roots at x=5 and x=1 you need to write is as follows
(x-5)(x-1)
you then need to multiply these two and get
x^2-6x+5
10 years ago a father was ten times older than his son. The father is now 40. How old is the son now?
Answers
Answer:
the son is 13
Step-by-step explanation:
what is the area of 2, 1/3, 4/3 and 2/9.
Answers
Answer: 35/3 or 11 2/3
Step-by-step explanation:
