how to solve log base 5 of x + log base 5 of (4x-1)
To solve for log base 5 of x + log base 5 of (4x-1), combine the two logarithms using the property that the sum of logarithms is equal to the logarithm of the product: log base 5 of x + log base 5 of (4x-1) = log base 5 of (x(4x-1)).
To solve the logarithmic expression log5(x) + log5(4x-1), we can combine the two logarithms using the property that the sum of logarithms is equal to the logarithm of the product. This gives us:
log5(x) + log5(4x-1) = log5(x(4x-1))
So the solution to the expression is log5(x(4x-1)).
Which of the following sets is a function?
{(0, 1), (-2, 8), (5, 19), (2, 8)}
{(1, 0), (11, 0), (-5, 7), (1, 9)}
{(17, -8), (1, 16), (53, 9), (1, 23)}
A rectangle with an area of 120 in 2 has a length 8 inches longer than two times its width. What is the width of the rectangle?
width = x
length = 2x+8
area = l x w
x(2x+8)=120
2x^2+8x−120=0
x^2+4−60=0
(x+10)(x−6)=0
x=−10 and x=6
width has to be a positive number
Width = 6
inches.
The family is going on a vacation they will drive 4,180 miles over two weeks about how many miles will they drive on average each day
Answer:
About 298 miles a day for two weeks because 4180/14=298.571428571
Step-by-step explanation:
Have a great day
In one day, the family will cover 298.57 miles
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying it with the value of a single unit.
Given is a family which is going on a vacation they will drive 4,180 miles over two weeks
Now, in two weeks the family will drive = 4180 miles
This means that -
In 14 days, the family will cover 4180 miles.
Then, in one day, the family will cover (4180/14) or 298.57 miles
Therefore, in one day, the family will cover 298.57 miles
To solve more questions on unitary method, visit the link below-
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Write y-6x-9=0 in function notation
What is the value of x? x+13=9
Enter your answer in the box in simplest form.
x =
Explain the difference between a population and a sample. choose the correct answer below.
6x^2-5x+1
Factor polynomial
What events forced the passengers on the mayflower to write and sign the mayflower compact? -?
If m<1 is twice the measure of its complement (<2), then determine the measure of each angle.
y equals 5x proportional or non-proportional
Can a 3 foot-by-9 foot rectangle be a scaled copy of a 3 foot-by-1 foot rectangle? Explain
Question 2 says: With out multiplying, determine the sign of the product
(19)(-2)(37)(-0.8)(122)
A.Positive
B.Negative
C.The product is zero
for a school field trip, there must be 1 adult to accompany 12 students, 3 adults to accompany 36 students, and 5 adults to accompany 60 students. Show that the relationship between the number of adults and the number of students is a proportional relationship. then write an equation for the relationship?
Find the domain and range of the following function ƒ(x) = 3|x + 7| - 2?
A.Domain: [-2,∞) Range: (-∞,∞)
B.Domain: (-2,∞) Range: (-8∞,∞)
C.Domain: (-∞,∞) Range: [-2,∞)
D.Domain: (-∞,∞) Range: (-2,∞)
Answer:
D.Domain: (-∞,∞) Range: (-2,∞)
is the right answer.
Step-by-step explanation:
Given is a function as
[tex]f(x) = 3|x+7|-2[/tex]
This is an absolute value function hence the minimum value of
|x+2|=0
Hence the range cannot be below -2
For maximum no limit
[tex]Range = [-2,\infty)[/tex]
Domain can be any real value
Hence option d is correct answer.
Answer:
A) domain: (-∞, ∞) range: (-∞, ∞)
Step-by-step explanation:
One inlet pipe can fill an empty pool in 4 hours, and a drain can empty the pool in 8 hours. how long will it take the pipe to fill the pool if the drain is left open?
Given that one inlet pipe can fill an empty pool in 4 hours. The outlet pipe can empty the pool in 8 hours. We know that rate x time = work done.
Rate = work done / time
Rate of inlet pipe = ¼ hours.
Rate of outlet pipe = 1/8 hours
Here 1 represent the work completed.
Let x be the time taken to fill the pool by the inlet pipe if the drain is left.
Work done by inlet pipe – work done by outlet pipe = 1 work completed.
x/4 – x/8 = 1.
To solve the rational equation, first we clear the fractions by multiplying it with LCD (4,8)=8 to each item.
8(x/4) – 8(x/8) = 8(1)
2x – x = 8
X = 8
Time taken for the pipe to fill the pool if the drain is left open = 8 hours
Find the distance between the given points . find the midpoint of the segment with the given endpoints. round to the nearest tenth, if necessary
Urgent PLEASE!!!!!!!!!!!!!!!!!!
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week.
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
20(4) +6(6) = 80 +36 = 116 total building time
20(4) +6(4) = 80 +24 = 104 total testing time ( this is greater than the allowed 100 hours)
Answer is: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Answer:
?
Step-by-step explanation: got 2 ur my streaks back up my n1g but i agree with the other person feel me.
Which of the following expressions is equal to 5 - 2m?
7 - 2(m + 1)
7 - (2m - 5)
7 - 2(m - 2)
Which of the following terms are like 3x^2y? Select all that apply.
3xy
3x^2y^2
-10x^2y
12xy^2
12x^2y
BD =4x + 5 and BF =9x
How to slove this problem
The centroid theorem, the value of x is: 2.5.
According to the centroid theorem, the centroid of a triangle is two-thirds of the distance from each midpoint to each vertex.
Given:
BD = 4x + 5
BF = 9x
Thus:
BD = 2/3(BF)
Replace 4x + 5 = 2/3(9x) with
4x + 5 = 6x
4x - 6x = -5
-2x = -5
x = 5/2
x = 2.5
As a result of the centroid theorem, the value of x is: 2.5.
Complete question:
Point D is the centroid of △ABC. Use the given information to find the value of x.
BD=4x+5 and BF=9x
x=
Tracey paid $170 for an item that was originally priced at $580. What percent of the original price did Tracey pay? Round your answer to two decimal places.
The line graphed by the original function f(x)=13x+1 is translated to g(x)=13x−17 using the mapping statement f(x)↦f(x)+k. What is the value of k?
Consider a machine that exchange quarters for dollar bills. Inserting one dollar bill returns four quarters and you may insert up to five one dollar bills at a time. Is 7 a possible input for the relation this change machine represents ?
Fourteen students are surveyed about the books they read. Four students read only science fiction books. Three students read only fantasy books. Five students do not read science fiction or fantasy. How many students read both science fiction and fantasy?
Find area of a rectangle
Area = l*w = 72
L = 72/w
Perimeter = 2l+ 2w
44 = 2(72/w) +2w
22 = 72/w +w
W^2-22w +72 =0
(w-18) (w-4) = 0
W = 18
L = 4
what is 10 times as much as 1.0
PLEASE HELP ME ANSWER THIS
Answer:
25
Step-by-step explanation:
It is the product of the 3rd row of the first matrix with the second column of the second matrix:
(5)(8) +(-2)(6) +(1)(-3) = 40 -12 -3 = 25
A population consists of 200 elements. we want to draw a simple random sample of 40 elements from this population. on the first selection, the probability of an element being selected is
The probability of an element being selected on the first selection of a simple random sample is 0.2.
Explanation:The probability of an element being selected on the first selection of a simple random sample can be calculated by dividing the size of the sample (40) by the size of the population (200).
In this case, the probability is 40/200 = 0.2.
Complete the pattern 5, 10, 30, 60, 180