Answers
Answer:
x = 5 or -1
We reject the second answer of x = -1
This is because upon substituting, it will give a negative number which the logarithm value of a negative number is not obtainable
So our only correct answer here is x = 5
Step-by-step explanation:
From the logarithmic rules;
log a - log b = log (a/b)
Applying this here, we have;
log4(x^2-4/4x+ 1) = 0
(x^2-4)/(4x+ 1) = 4^0
(x^2-4)/(4x + 1) = 1
x^2 -4 = 1(4x + 1)
x^2 -4 = 4x + 1
x^2 - 4x -4-1 = 0
x^2 -4x -5 = 0
x^2+ x -5x -5 = 0
x(x + 1) -5(x + 1) = 0
(x-5)(x + 1) = 0
x = 5 or -1
Related Questions
5 yd
4 yd
6 yd
4 yd
9 yd
Answers
Answer:
thats nice??
Step-by-step explanation:
3/4 + (-1/2) + (-2/3)
Answers
Answer:[tex]- \frac{5}{12}[/tex]
Step-by-step explanation:
https://www.symbolab.com/
Answer:
Okay so you are going to get -5/12
Step-by-step explanation:
what you are going to do first is look at your signs the plus and minus signs are there to try and mix you up. What you are doing is subtracting all three of these fractions... Okay?
3/4 - 1/2 - 2/3
What you need to do is turn 1/2 into 1/4 because when adding or subtracting fractions you need to have the same denominator.
Subtract:
3/4 - 2/4 = 1/4
Now you are going to have to multiply the tops and the bottom of 2/3 by four (you should get 8/12) and multiply 1/4 (top and bottom) by three (you should get 3/12). This allows you to subtract 2/3 and 1/4 to get a product of 5/12. You can not simplify this fraction any further so you have your answer!
-5/12
*EDIT
Don't forget the minus sign.
A right triangle has an angle measure of 52.4 degrees. What is the value of 'x', the missing angle?
Answers
Answer:
The answer is 37.6 degrees
Step-by-step explanation:
Since a right angle is 90 degrees in total, to find the missing degree subtract 52.4 from 90 to find the value of x.
90-52.4= 37.6 degrees
37.6 degrees is your answer
Hope this helps
Daria makes and sells stuffed toys she uses special fabric to cover a funky to make a number two how much fabric did Daria use to make this number cube
Answers
The question is incomplete as the side lengtb of the cube isn't given. Taking the side length to b
be a value, x
Answer:
Step-by-step explanation:
Given that :
The side length = x
To obtain the amount of fabric which would be required for covering the funky, we Obtian the total surface area of the foam. Cube.
Using he relation :
Surface area of a cube = 6 * s² ; the side length s = x
Surface area = 6 * x².
Hypothetically,
Let x = 7 cm
E
Reduce your fraction into lowest terms.
Answers
slope of (-3,5) (3,6)
Answers
Answer:
The slope is [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Please, please help! Simplify the following:
Answers
Answer:
-15
Step-by-step explanation:
(5) x (-3) = -15
Please can someone please help me answer this question
Don't put links
I rlly need it
Answers
Answer:
1.10231131
Step-by-step explanation:
−8
≥ -5 ???????????????????????????
Answers
Answer:
If your asking if it’s true or false then it is false
Step-by-step explanation:
If you want to make it a true statement then it would be -8<-5
Don has 4 pieces of pipe. Each piece is 2 feet 3 inches long.
If Don joins the pieces end to end to make one long pipe, how long will the new pipe be?
The pipe will be
feet
inches long.
Answers
Plz help, And no links please
List all the possible rational zeros of the function f(x)=x^2-5x+12
Answers
However, here is the method u can use to find the zeros lol
You can use the quadratic formula in order to get the zeros
This is the equation therefore use these values
ax^2+bx+c=0
A=1
B= -5
C=12
The quadratic formula is -b±√(b^2-4ac))/2a (I left a picture just in case)
The function f(x)=240x represents the cost of staying at a particular hotel for x nights at the full room rate of $240 per night. The hotel gives its rewards members a discount based on the length of their stay. Each additional night that rewards members stay earns them an additional 5% discount on the total cost of their stay up to a 30% discount. The function d(x)=0.05(x-1) for 1 < x ≤ 7 represents the percentage discount in decimal form for a rewards member staying x nights at the hotel.
(a) Write an equation in simplified form to represent (fd)(x).
(b) Evaluate (fd)(4), and explain what this value represents.
I WILL OFFER BRAINLIEST FOR THE BEST ANSWER!!! HURRY NOW!!
Answers
A customer earns 1 free night per 10 nights stayed.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Here, we have,
A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.
f(x)=x/10
When we put x=10, we get f(1)=10/10=1
Here f(1) represents the number of free nights earned by the customer is 1 per 10 nights stayed.
When we put x=20, we get f(2)=20/10=2
Here f(2) represents the number of free nights earned by the customer is 2 per 20 nights stayed.
When we put x=30, we get f(3)=30/10=3
Here f(3) represents the number of free nights earned by the customer is 3 per 30 nights stayed.
When we put x=40, we get f(4)=40/10=4
Here f(4) represents the number of free nights earned by the customer is 4 per 40 nights stayed.
Then, the pattern permits you to conclude that a customer earns 1 free night for every 10 nights stayed.
To know more about functions:
brainly.com/question/1383113
#SPJ2
complete question:
a hotel offers a reward program based on the number of nights stayed. the function f(x) represents the number of free nights earned as a function of x, the number of nights stayed. f(x)
Tiffany used to live 15 kilometers away from the school, but after she moved she now lives 9.9 kilometers away. Is this an increase or decrease?
Answers
hope this helps
Answer:
it is a decrease
Step-by-step explanation:
hope that this helps
also why is this question so easy for a high schooler im in middle school and was able to figure it out
please help pslpslsplspslspslspslsplspsl
Answers
Answer:
x=30/96
Step-by-step explanation:
x=31%
Need help with math!!
Answers
There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores? 79% 82% 87% 92%
Answers
The median of the math scores is = 79%.
You can understand more about calculation of median of a set of numbers below.
Estimation of median scoresThe total number of sophomores is = 8
The percentage score of each sophomore = 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%.
To calculate the median of the percentage scores, arrange the scores in ascending order and pick the figure in the middle as the median math score.
72, 74, 76, 78, 80, 82, 92, 92
Here the median is two figures 78, and 80 which are located in the middle. The median is =>78 +80/2
= 158/2 = 79%
Therefore, the median of the math scores is = 79%
Learn more about median calculation here:
https://brainly.com/question/14532771
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A. 79%
edge 2022 :)
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Makayla has $8 to buy tickets at the school fair. Each ticket costs $1.50. Which inequality
best represents how many tickets she can buy?
n = number of tickets
Answers
Answer:
Third option is correct. Hence, N<5 is the best inequality that represents the number of tickets she can buy with $8
Step-by-step explanation:
3
A ABC and point E are shown in the diagram below. Determine a possible location of point D to make
ABC. CDE
Answers
Answer:
Step-by-step explanation:
Complete the point-slope equation of the line through (1, -1) and (5,2).
Use exact numbers.
y-(-1) =
I need help
Answers
Answer: Y-(-1)= 3/4(x-1)
Step-by-step explanation:
*First find the slope*
y2-y1/x2-x1 ==> 2-(-1)/5-1 ==> 3/4
Point-slope form ==> y-y1=m(x-x1)
y-(-1)=3/4(x-1)
Every seventh-grade student at Martin Middle School takes one world language class.
One-tenth of the seventh-grade students take French. Eighteen seventh-grade students take French.
Which equation represents s, the total number of seventh-grade students at the middle school?
18 = 0.1 s
18 = StartFraction 10 over s EndFraction
StartFraction s over 0.1 EndFraction = 18
10 s = 18
Answers
Option (A) 18 = 0.1s
Step-by-step explanation:
Every seventh-grade student at Martin Middle School takes one world language class.
Now we will form the equation as per statement of the question.
Let total students of seventh-grade = s
" one tenth of seventh grade students take French."
" Students who took French were 18."
So of s = 18
(0.1)s = 18
therefore, Option (A) 18 = 0.1s is the answer.
Answer
a
Step-by-step explanation:
The path of a rope bridge can be modeled by a quadratic equation h(l), where h is the height at a point on the bridge relative to the two ends of the bridge and l is the distance from one end of the bridge. One such bridge connects two ends that are 24 meters apart. The lowest point of the bridge is 3 meters lower than the two ends of the bridge Assuming the two ends of the bridge are at an equal height of h = 0 meters, which of the following graphs could be the graph of h (l)?
Answers
Write an equation of the line and interpret the slope.
Answers
Answer:
y=-100x+700
Step-by-step explanation:
Slope=Rise/Run=Δy/Δx=(y₂-y1)/(x₂-x₁)=(200-600)/(5-1)=(-400)/(4)=-100
So your slope would be m=-100
To find b, the y-intercept, we plug in a given output of y for a given input of x and solve for b:
y=mx+b (Slope-intercept form)
y=-100x+b (Equation so far)
200=-100(5)+b [Plugging in (5,200)]
200=-500+b
700=b
So since the y-intercept is b=700, then the equation of the line is y=-100x+700
933 months
years
months
Answers
Answer:
933mounths=77years and 9 mounts
Answer:
[tex]77\frac{3}{4}[/tex] years = 933 months
77.75 years = 933 months
Step-by-step explanation:
1 year = 12 months
y = 933 months
[tex]\frac{1}{12}= \frac{y}{933}[/tex]
12 × y = 933 × 1
12y = 933
12y ÷ 12 = 933 ÷ 12
y = 77.75
The slope of any vertical line is?
Answers
Answer:
The slope of any vertical line is undefined.
Step-by-step explanation:
The slope of a line is the change in Y divided by the change in X. The slope of a horizontal line = 0 (not undefined). The slope of a vertical line is undefined, however. Hope this helps; have a great day!
While mike was visiting his sister in arlington,he bought an aquarium that was marked down 60% from an original price of $100 .if the sales tax in Arlington is 5% ,what was the total cost of the arquarium?
Answers
Answer:
The cost of the aquarium was $38
Step-by-step explanation:
I got 60% of 100 and it was 60 so it was $40 but then the sales tax was $2 so I subtracted and got 38
The total cost of the aquarium is the sum of the marked down price and
the sales tax.
The total cost of the aquarium is $42
Reasons:
The known information are;
Original price of the aquarium = $100
The marked down percentage of the aquarium = 60%
The sales tax = 5%
[tex]Mark \ down = \dfrac{Difference}{Current \ selling \ price} \times 100[/tex]
[tex]60 \% = \dfrac{Difference}{100} \times 100[/tex]
Which gives;
The difference in sale = $100 - Marked down price = $60
Marked down price = $100 - $60 = $40
The marked down price = $40
The tax is applied to the marked down price, therefore, we get;
Sales tax = 5% × $40 = $2
The total cost = Marked down price + Sales tax
The total cost of the aquarium = $40 + $2 = $42
Learn more here:
https://brainly.com/question/17852801
https://brainly.com/question/19091415
Choose the smallest fraction
1/13
1/11
1/12
Answers
Answer:
1/13 is the smallest fraction
Step-by-step explanation:
1/13 = 0.0769
1/11 = 0.0909
1/12 = 0.0833
1/13 is the smallest fraction
4
Select all the expressions that are equivalent to
-2(5x - 1) + 7(5x - 1) – 3(-5x + 1)
M. -10x – 1 + 35x - 1 + 15x + 1
P. -10x + 2 + 35x - 7 - 15x - 3
R. (5x - 1)(-2 + 7 - 3)
S. (5x - 1)(-2 + 7 + 3)
T. 40% - 8
V. 10x + 2
Answers
Answer:
The first answer is M. -10x - 1 + 35x - 1 + 15x + 1
maybe
What was first the fruit orange or the color orange
And how did the first people kill an animal with what
If a bow then where did they get the string from
Answers
Answer:
The orange (fruit) definitely got named first.
In ancient time, people hunt animals with old hunt tools. We can see some examples of old hunting tools.
And if they used bow, then I think they made string from raw materials like tree's branded peels.
Step-by-step explanation:
When Colton commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a standard deviation of 3.5 minutes. Using the empirical rule, determine the interval that represents the middle 95% of his commute times
Answers
Answer:
(34, 48)
Step-by-step explanation:
According to the Empirical Rule, 95% of normally distributed data lie within two standard deviations of the mean. That, in turn, means 95% of the data in this problem lie within 2(3.5 min), or 7 min, of the mean:
41 - 7 < mean < 41 + 7, or
34 < mean < 48, or simply (34, 48)
Use the function below to find F(1).
F(t) = 2•1/2^3t
Please Help
Answers
Answer:
C. 1/4
Step-by-step explanation:
2 * 1/2^3t
substitute 1 for t so it would be:
2 * 1/2^3 = 2 * 1/8 = 2/8 = 1/4
