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
Please help me !!!!!!!!!!!!!!
Answers
Brandon has a total of 187 postage stamps in his collection.
• he has 48 stamps that are each 14 millimeters wide.
• he has 139 stamps that are each 12 millimeters wide.
what is the total width of the stamps in Brandon's collection?
please help!
Answers
Answer:
233.4 Centimeters
Step-by-step explanation:
48 x 10 = 480
48 x 4 = 192
480 + 192 = 672
139 x 10 = 1390
139 x 2 = 272
1390 + 272 = 1662
1662 + 672 = 2334
2334mm = 233.4cm
A conside the equation y= 1.5x+2. Find four pairs of x and y values that make the equation true.plot points (x,y) on the coordinate plane.
Answers
One angle of an isosceles triangle is known to be 68°. What would be one of the other angles?
a 44°
b 55°
c 66°
d 112°
Answers
Answer:
44
Step-by-step explanation:
Isosceles triangles have two angles that are equal. If the two equal angles are 68
We have 68, 68, and an unknown angle x
They add to 180
68+68+x = 180
136+x=180
x =180-136
x =44
a square's area is 3 times its perimeter. Find the dimensions of the square.
Answers
3.7.5 Practice: Modeling: Pumpkin Launch
Answers
Answer:
(Go with the melon, tomato, or pumpkin)
Step-by-step explanation:
MELON: I chose the melon. The target is 40ft away, so the maximum height of the launch has to be 12 feet.
TOMATO: I chose the tomato (because the numbers are round and easy to manipulate) The target is 60ft away, so the maximum height of the launch has to be 45 feet.
PUMPKIN: I chose the pumpkin. The target is 50 ft away, so the maximum height is 62 feet.
NEED ANSWERS QUICK! WILL MARK BRAINLIEST!
What is the m 12 in matrix M?
M = 8 7 4
2 0 5
a) 2
b) 7
c) 5
d) 4
Answers
The POSITION of an element in a matrix is given by the row and column containing the element. This is usually denoted using double subscript notation, “aij” where first number is the row and j is the column containing the element aij.
In your given problem, “1” corresponds to the row, and “2” corresponds to the column. The element in the given matrix that is row 1, column 2 is the element, 7.
Therefore, the correct answer is B) 7.
Please mark my answers as the Brainliest if you find my explanation helpful :)
please help me with this algebra question ! !
Answers
Answer:
D = x >/ -4
R = 2
Step-by-step explanation:
The graph of a linear function f passes through the point (3, -10) and has a slope of -5. What is the zero ?
A. 1
B. -1
C. 5
D. -5
I really need help
Answers
Answer:
C
Step-by-step explanation:
i did it already
y is inversely proportional to x2.
When x = 5, y= 16.
Find y when x= 10.
Answers
Since y is inversely proportional to [tex]x^2[/tex], the value of y, when x = 10 is 4.
Given the following data:
x = 5y = 16To find the value of y, when x = 10:
Mathematically, translating the inverse relationship between x and y, we have:
[tex]y \;\alpha\; \frac{1}{x^2} \\\\y \;= \frac{k}{x^2}[/tex]
Substituting the given parameters into the formula, we have;
[tex]16 = \frac{k}{5^2} \\\\k = 16 \times 25[/tex]
k = 400
Now, we can find the value of y, when x = 10:
[tex]y = \frac{400}{10^2} \\\\y = \frac{400}{100}[/tex]
y = 4
Read more: https://brainly.com/question/18676621
20 POINTS, Hi I really NEED HELP on this question, please
What is the approximate solution to the equation 2^t=22?
0.6712
1.0414
4.4594
11.0000
Answers
Answer:
[tex]t=4.4594[/tex]
Step-by-step explanation:
We can take the log 2 of both sides to get [tex]t=\log_2(22)[/tex].
We know that [tex]2^4<22<2^5[/tex], so [tex]4<t<5[/tex].
So, the solution is [tex]\boxed{t=4.4594}[/tex] because it's the only answer that works.
Pls help, will give brainliest
Answers
Answer:
see image
Step-by-step explanation:
Hope this is clear enough, if not feel free to ask me any questions.
Glenda wants to find out how often people in her town visit the cinema.
She collects data from 10 people standing in a queue outside a cinema.
Write down two reasons why the data she collects may not be reliable.
Answers
Answer:
She has a very low sample size (Only 10 people)She only interviews specific people (She only interviews people on line, which will lead to biased resultsneed help with this problem
Answers
Answer:
4x+15
Step-by-step explanation:
the side lenghts of a triangle are 14,15, and x units
Answers
9514 1404 393
Answer:
1 < x < 29
Step-by-step explanation:
The triangle inequality requires the sum of the two shortest sides exceed the longest side.
When x and 14 are the shortest:
x + 14 > 15
x > 1
When 14 and 15 are the shortest:
14 +15 > x
29 > x
Then the requirement for the length of x is ...
1 < x < 29
_____
Additional comment
The length of the third side of a triangle can be between the difference and sum of the two given sides.
does anyone know the answer to the question??? 5x+2=7x-4
Answers
I hope this helps you
To rent a taxi in Los Angeles, the taxi service charges a flat rate of $11.20 and an additional $3.10 per mile driven. Write an equation in slope- intercept form where x represents the distance of the trip, and y represents the amount the taxi service would charge to drive that distance .
Answers
Answer:
y = 3.1x + 11.2Step-by-step explanation:
Flat rate is the y- intercept b = 11.2
Charge per mile is the slope m = 3.1
The equation is:
y = 3.1x + 11.2Complete the table.
f(x) = x - 1
х f(x)
3
4
5
6
Submit
Answers
Answer:
[tex]f(x) = x - 1 \\ f(3) = 3 - 1 = 2 \\ f(4) = 4 - 1 = 3 \\ f(5) = 5 - 1 = 4 \\ f(6) = 6 - 1 = 5[/tex]
Answer:
See attached photograph
Step-by-step explanation:
It is a simple matter of subtracting 1 from the given x value. For example, when x=3 we need to subtract 1 away from it to find f(x); so, f(x)=2.
Side note: the term "f(x)" means "y", so when plotting this information on a graph, you will use the f(x) column as your y value.
if 6/10 = 21/K what is K
Answers
You can cross multiply for this problem. So:
[tex]\frac{6}{10}=\frac{21}{K}\\6K=210\\K=35[/tex]
So K=35!
Hope this helps! :)
a regular pentagon is divided into 5 isoscleles triangles work out the size of angle x angle y angle z
Answers
x = 72
y = 54
z = 54
================================================================
The regular pentagon has all five sides the same length. It also has all interior angles the same measure. This leads to y = z. These two angles are the congruent base angles of the isosceles triangle. The base angles are opposite the congruent sides.
The fact that we have a regular pentagon also means that the five triangles shown are identical copies of one another (i.e. they are congruent triangles). Divide the full 360 degree rotation into 5 parts to get 360/5 = 72, which represents the measure of the central angle x.
--------------
For any triangle, the three angles always add to 180. This means,
x+y+z = 180
72+y+z = 180 .... plug in x = 72
72+y+y = 180 ... recall that y = z
2y+72 = 180
2y = 180-72
2y = 108
y = 108/2
y = 54, which is also the measure of angle z as well
--------------
As a quick check,
x+y+z = 72+54+54 = 180
which helps confirm the answer.
Does the graph represent a function? Why or why not?
Answers
Answer:
Yes
Step-by-step explanation:
Because any vertical line drawn doesn't meet the graph at two points.
So this concludes that there is a single output for any input. Which is the basic requirement for a function
somebody help me please , thank you
Answers
Answer:
Step-by-step explanation:
2500 +625+625+2500=6250
There are 6250 square feet inches total
625 square ft
625 = 1/10 {proportion}
6250
6000x 1/10
= 600
apportioned cost = {$600}
write an equation of the line perpendicular to given line that contains P. P(5,-4); y=1/5x+4
Answers
Answer:
y = - 5x + 21
Step-by-step explanation:
Slope: -5
Point: (5, -4)
b = - 4 - (- 5)(5)
b = - 4 + 25
b = 21
Does anyone know where this worksheet is at on online with the answers ?
Answers
Answer:
I do not know if there is this worksheet online which comes with answers, but you can post questions here on brainly, and I can help you clarify them!!
:>>
7 = -10s -3 is equal to " S =1" ???
what is the correct answer i am correct or not??
Answers
Answer:
[tex]s=-1[/tex]
Step-by-step explanation:
[tex]7=-10s-3[/tex]
[tex]-10s-3=7[/tex]
Add 3 to both sides:
[tex]-10s-3+3=7+3[/tex]
[tex]-10s=10[/tex]
Divide both sides by -10:
[tex]\frac{-10s}{-10}=\frac{10}{-10}[/tex]
[tex]s=-1[/tex]
____________________
How to solve this proof?
Answers
Answer:
∆ACD≅∆BCD definition of a segment bisector
Step-by-step explanation:
I think this is the only way to prove it in one reason
AE=BE (CE intersects AB)
And angle AED = angle BED
So triangle ADE ≅ triangle BDE
(SAS congruence rule)
Ayuda porfavor lo mas pronto posible
Answers
Answer:
Based on the graphs shown, what would you conclude about the conditions under which enzymes function in cells?
A
Enzymes are most effective at a particular pH and temperature but can function over a range of pH and temperature.
B
С
Enzymes do not have a specific pH or temperature at which they are most effective but function optimally over a range of pH and temperature.
Enzymes work equally well at the low and high ends of their temperature range but reaction rate drops quickly at the high end of their pH range
Enzymes only function at a specific pH and temperature and cannot function over a range of pH or temperature.
D
what is the numerical expression for 3 - 0 x 5 - 0 ?
Answers
I gotten this question before the answer is 3
what's 52 written as a decimel
Answers
Move the decimal to the left twice.
Answer:
0.52
Step-by-step explanation:
Jaxon made 12 shots in five minutes during practice, and he consistently shoot the same, how long did it take him to make 5 shots?
Answers
Step-by-step explanation:
12 shots in 5 minutes.
12/5 ratio.
how long for 5 shots ? x minutes
5/x must be the same ratio as 12/5
so,
5/x = 12/5
25/x = 12
25 = 12x
x = 25/12 = 2 1/12 ≈ 2.08 minutes =
= 2 minutes and 5 seconds
(60 seconds per minute divided by 12 = 5)