Check the picture below.
express as a single logarithm 3 loga (2x+1) - 2 loga (2x-1) +2
Answer:
Step-by-step explanation:
[tex]3 \log_{a} (2x+1)=\log_{a}(2x+1)^{3}[/tex]
[tex]2 \log_{a}(2x-1)=\log_{a}(2x-1)^{2}[/tex]
[tex]2=\log_{a}(a^{2})[/tex]
So the expression can be expressed as a single logarithm as follows:
[tex]3\log_{a}(2x+1)-2\log_{a}(2x-1)+2=\log_{a}(2x+1)^{3}-\log_{a}(2x-1)^{2}+\log_{a}a^{2}[/tex]
[tex]3\log_{a}(2x+1)-2\log_{a}(2x-1)+2=\log_{a}\left(\frac{(2x+1)^{3}a^{2}}{(2x-1)^{2}}\right)[/tex]
solve this for me please and thank you
Please help pre Algebra question
Answer:
4=No
-3=No
2=Yes
0=No
Step-by-step explanation:
enter enter all the factors into the equation and see which one equals -28 on both sides at the end.
What is 24 times 2 equal to?
Answer:
The answer is 48 :)
Find the quotient: 60 ÷ 30 =
Answer:
2!!!!!
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
do 6/3 easy as pie! (not pi)
This graph shows the number of tickets for a new movie sold at a theater
during the first 8 weeks of the movie's release.
The company determined that the equation y = 7,500 - 850x modele
data fairly well. What is the meaning of the slope of the linear model?
Ticket Sales
(A)
the number of tickets sold each week
(B) the weekly change in the number of tickets sold
.
Tickets Sold
8,000
7,000
6,000
5,000
4,000
23,000
2,000
1,000
©
the smallest number of tickets sold in a week
0
the number of tickets sold on the first day the movie was
released
1 2 3 4 5 6 7 8
Week
Using linear function concepts, it is found that the meaning of the slope is given by:
(B) the weekly change in the number of tickets sold.
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.From this, we have that the slope represents a rate of change, hence, option B is correct.
More can be learned about linear function concepts at https://brainly.com/question/24808124
4. Some students who are in chorus also
take singing lessons. If Adam is in Chorus
and takes singing lessons, shade the
area where Adam would belong.
Chorus
Singing
Lessons
Answer:
shade the area where circles overlap
Answer:
Shade the middle section.
Step-by-step explanation:
Venn-diagrams show what is the same or different. Adam does both chorus and singing lessons. The part of the diagram where the circles cross in the middle is what you would shade in because that section represents both chorus and singing lessons.
radius of a cylideical water tank is 5ft, and it's height is 9ft. What is the exact volume of the tank in terms of π
Answer:
225 pi
Step-by-step explanation:
Take note.
V= volume
r = radius
h = height
Formula for Volume of Cylinder
[tex]V=\pi r^{2}h[/tex]
[tex]V=\pi* 5^{2}*9[/tex]
[tex]V=706.85835[/tex]
Now in terms of pi.
[tex]\frac{706.85835}{\pi } =225[/tex]
225 pi
determine the y- intercept of 3x+2y=9
Answer:
The y intercept is (0,4.5)
Step-by-step explanation:
Because the y-intercept occurs at x = 0, we can substitute this into our equation and solve for y.
3(0) +2y = 9
2y = 9
y=4.5
Answer:
[tex]\boxed{(0 , 4.5)}[/tex]
Step-by-step explanation:
→ Rearrange into y = mx + c format
2y = - 3x + 9
→ Divide everything by 2
y = -1.5x + 4.5
→ Substitute x = 0
y = 0 + 4.5 ⇒ 4.5
I just need the answer please n thank u<3
Answer:
C. [tex]x=-9 \textsf{ and }x=1[/tex]
Step-by-step explanation:
[tex](x+4)^2=25[/tex]
[tex](x+4)(x+4)=25[/tex]
expand the brackets:
[tex]x^2+8x+16=25[/tex]
subtract 25 from both sides:
[tex]x^2+8x-9=0[/tex]
factor:
[tex]x^2+9x-x-9=0[/tex]
[tex]x(x+9)-1(x+9)=0[/tex]
[tex](x-1)(x+9)=0[/tex]
solve for x:
[tex]x-1=0 \implies x=1[/tex]
[tex]x+9=0 \implies x=-9[/tex]
need more points ??? solve this .....only first part for 50 points .....and follow me also!
Answer:
see below
Step-by-step explanation:
i.
= √(3 + 4i)
= 2 + i
ii.
= √(-8 + 6i)
= √2(-4 + 3i)
iii.
= √(-40 - 42i)
= √-2(20 + 21i)
iv.
= √i
= √i
v.
= [tex]\sqrt{\frac{2 + 3i}{5 - 4i} } +\sqrt{\frac{2-3i}{5+4i} }[/tex]
= [tex]\sqrt{\frac{-2+23i}{41} } +\sqrt{\frac{2-3i}{46} }[/tex]
Answer:
ok iam follow
Step-by-step explanation:
Mark as brainleist answer
how do you write this in slope intercept form i don’t know
Answer: y = [tex]-\frac{2}{1.5}[/tex]x + 15
Step-by-step explanation:
Slope intercept form is written as y = mx + b, where m is the slope and b is the y- intercept.
2.00x + 1.50y = 15
1.50y = -2.00x + 15
y = [tex]\frac{-2}{1.5}[/tex]x + 15
Which term has the definition "A two dimensional surface on which we can graph points"? A Origin B Quadrant. C Abscissa D Coordinate Plane
Answer:
Coordinate Plane (D)
Step-by-step explanation:
A Coordinate Plane is a two dimensional surface where you can graph points. Please let me know if I'm wrong, have a good day
Which of the following is equivalent to 5x + 7 = 6y?
А
5z+6 = 7
B
5z+6y = -7
C
5X- 6y =7
D
5x - y = -7
Answer:
c
Step-by-step explanation:
Will give brainliest to first answer !! What is 2 to the power of 44 multiplied by 84
Find the difference: 3 4/6 - 1/6
Answer:
7/2 but as a mixed number 3 1/2
Step-by-step explanation:
Answer:
3 1/2 or 3 3/6
Step-by-step explanation:
PLEASE ANSWER BUT TAKE YOUR TIME.
Write an equation for a polynomial with all the following features:
a. The degree is 5.
b. The polynomial has 4 terms.
c. The graph of the polynomial crosses the vertical axis at Y = 12 .
Identify the approximate input values of any relative maximums and minimums of this 5th degree polynomial.
Answer:
Step-by-step explanation:
(x-1)^5 = x^5 - 5x^4 + 15x^3 - 15x^2 + 5x - 1
That has 6 terms, so let's get rid of the two middle ones.
f(x) = (x-1)^5 - 15x^2(x-1)
Now, f(0) = 1, but we want f(0) = 12
So, let
f(x) = 12((x-1)^5 - 15x^2(x-1)) = 12x^5 - 60x^4 + 60x - 12
As for the graph, it looks like
y = (x+4)(x+2)(x-1)^2(x-6)
The extrema appear to be at about (-3,1), (-1,-1), (1,0), (4,-9)
The relative maximums and minimums of this 5th-degree polynomial appear to be at about (-3,1), (-1,-1), (1,0), (4,-9)
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
The degree of the polynomial is 5.
The polynomial has 4 terms
So (x-1)⁵ = x⁵ - 5x⁴ + 15x³ - 15x² + 5x - 1
Let's eliminate the two middle terms from it, which has six.
f(x) = (x-1)⁵ - 15x²(x-1)
Given that the graph of the polynomial crosses the vertical axis at Y = 12
So, substitute f(0) = 1, but we determine f(0) = 12
So, let f(x) = 12((x-1)⁵ - 15x²(x-1)) = 12x⁵ - 60x⁴ + 60x - 12
As for the graph, it looks like
So the approximate input values of relative maximums and minimums of this 5th-degree polynomial :
y = (x+4)(x+2)(x-1)²(x-6)
The relative maximums and minimums of this 5th-degree polynomial appear to be at about (-3,1), (-1,-1), (1,0), (4,-9)
Learn more about the polynomial here:
brainly.com/question/11536910
#SPJ2
If 10 is decreased to 5, the decrease is what percent of the original number?
Answer:
50
Step-by-step explanation: love uuuuuu
here is a list 31 29 33 37 43 38 33 40 find the mode in number of list and work out on mean
Answer: Mode = 33, Mean = 35.5
Step-by-step explanation: The mode is whatever number appears the most.
To find the mode, first put the numbers in order from least to greatest.
29, 31, 33, 33, 37, 38, 40, 43
In this case, 33 appears the most, so the mode is 33.
The mean is the average of all of the numbers.
Firstly, add up all of the numbers:
29 + 31 + 33 + 33 + 37 + 38 + 40 + 43 = 284
Now that you have all of them added up, divide the final sum by the number of numbers you have in the list. In this case, you have 8 numbers.
284/8 = 35.5
Your mean is 35.5
Answer:
Mode = 33
Mean = 35.5
The mode is whatever number appears the most.
to find the mean:
add all the numbers:
29 + 31 + 33 + 33 + 37 + 38 + 40 + 43 = 284
divide that by the number of numbers you have in the list.
284/8 = 35.5
mean = 35.5
Susie has a bag with 10 hair pins, 6 pencils, 3 snacks, and 4 books. What is the ratio of books to pencils? (This question made my teacher heart sad)
Question 1 options:
A.64
B.46
C.106
D.410
Answer:
B. 4/6
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
(a+4)-[12-(a+2)-(a+2)
Answer:
a=4/3
Step-by-step explanation:
Opening the brackets,
a+4-12+a+2+a+2
3a=4
∴a=4/3
Edna is an elephant at the zoo her eating habits have been studied in detail it has been determined that she spends about 14 hours per day eating. How many hours would she have spent eating in the month of july
Answer: 434 hours
Step-by-step explanation:
31(days) x 24(hours in a day) = 744
31(days) x 14(hours spent eating) = 434
Answer:
I came up with 434 hours for the month of July
Step-by-step explanation:
Well, you find the days of July which is 31, then multiply that by 14, the hours she spends eating a day.
I'm so sorry if it's wrong. Good luck!
Please mark brainliest!
Which equation represents this sentence?
Four times the sum of a number x and a number y is equal to 20.
4xy = 20
4x + y = 20
O 4(x + y) = 20
4 + x + y = 20
Answer:
4(x+y)=20
Step-by-step explanation:
For the crazy pizza portfolio I just need the formulas to prove that my pizza can fit inside the box I already have A=pi r2 now I just need the rest
To prove that the pizza fits inside the box we need the formula for the area of a square, to identify the area of the box and to know if the pizza fits inside the box.
How to calculate the area of the box (area of a square)?To calculate the area of a square we must apply the following formula:
Length of square × base of square = area of square ²According to the above, if we have a pizza with a radius of 30cm, its area would be:
A = 3.14 × 15²A = 706.5 cm²So we would need a box with a side length of at least 30cm. Its area would be:
30cm × 30cm = 900cm²
So for a 706.5cm² pizza, we need a 900cm² box.
Learn more about area in: https://brainly.com/question/16151549
PLEASE HELPPPPP ASAPPPPP
Try this and if it doesn't help you I will give you the answer straight to you
The formulas for calculating changes in the money supply are as follows. Firstly, Money Multiplier = 1 / Reserve Ratio. Finally, to calculate the maximum change in the money supply, use the formula Change in Money Supply = Change in Reserves * Money Multiplier.
Person A can paint the neighbor's house 3 times as fast as Person B. The year A and B worked together, it took them 10 days. How long would it take each to paint the house?
Bro I don't know if I'm dumb or not but I literally can't figure this out. Please help my struggling self wcdfvrd
Answer:
A: 13 1/3 daysB: 40 daysStep-by-step explanation:
If person A can paint the house in 'a' days, then person B takes 3a days. Each day, the total amount of house painted when they work together is ...
1/a + 1/(3a) = 1/10
4/(3a) = 1/10 . . . combine terms
40 = 3a . . . . . . . cross multiply
a = 40/3 = 13 1/3 . . . . . divide by 3
A can paint the house in 13 1/3 days.
B can paint the house in 40 days.
What is the value of p in this proportion?
5/6 2/3
----- = ------
P 1/2
Enter your answer as a simplified
fraction.
p=
If the formatting should be [tex]\frac{\frac{5}{6} }{p} =\frac{\frac{2}{3} }{\frac{1}{2} }[/tex], then this should be correct.
Answer:
p = [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
[tex]\frac{\frac{5}{6} }{p} =\frac{\frac{2}{3} }{\frac{1}{2} }[/tex] [Given]
[tex]\frac{5}{6} *\frac{1}{p} =\frac{\frac{2}{3} }{\frac{1}{2} }[/tex] [Keep, change, and flip on the left side]
[tex]\frac{5}{6} *\frac{1}{p} =\frac{2}{3}*2}[/tex] [Keep, change, and flip on the right side]
[tex]\frac{5}{6} *\frac{1}{p} =\frac{4}{3}}[/tex] [Simplify the right side]
[tex]\frac{5}{6p}=\frac{4}{3}}[/tex] [Simplify the left side]
6p * 4 = 5 * 3 [Cross multiply]
24p = 15 [Simplify]
p = [tex]\frac{15}{24}[/tex] [Divide both sides by 24]
p = [tex]\frac{15/3}{24/3}[/tex] [Simplify the fraction]
p = [tex]\frac{5}{8}[/tex] [Answer]
A pie chart shows the number of rabbits 900, sheep 700, cattle 300 and pigs 500 What angle represent the number of sheep on the farm
Step-by-step explanation:
total number of animals on the farm is
900+700+500+300=2,400
angle for sheep will be
(700/2,400)*360=105°
Examine this multiplication problem. 3 2 5 × 1 2 Which are equal to the product? Check all that apply.
Answer:
17/10, 1 and 7/10
Step-by-step explanation:
Solve 2y−18x=−26 for y.