Equivalent equations are equations of equal values
The system of equations from the given equation are:
[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]
The logarithmic equation is given as:
[tex]\log_4(x^3) = \log_2(2x)[/tex]
Split the above equation as follows:
[tex]y = \log_4(x^3)[/tex]
[tex]y= \log_2(2x)[/tex]
Rewrite [tex]y = \log_4(x^3)[/tex] as:
[tex]y=3\log_4(x)[/tex]
Hence, the system of equations from the given equation are:
[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]
Read more about systems of equations at:
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What is the remainder when 3 is
synthetically divided into the polynomial -2x2 + 7x - 9?
A. -6
B. -4
C. 2
D. 0
The remainder when 3 is synthetically divided into the given polynomial is; Choice A; -6.
What is the remainder when 3 is synthetically divided into the polynomial?It follows from the task content that the remainder when 3 is synthetically divided into the polynomial is to be determined.
On this note, it follows that the expression evaluation at x = 3 represents the required remainder.
Therefore, we have;
-2 (3)² + 7 (3) - 9
= -18 + 21 - 9
= -27 + 21
= -6
Ultimately, the required remainder when 3 is synthetically divided into the polynomial is; -6.
Therefore, the correct answer choice is; Choice A; -6.
Read more on synthetic division of Polynomials;
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d.One rectangle weighs what
Answer:
the answer is 2
Step-by-step explanation:
because 7 + 2 = 9 then 9+2=11
3/2-5/6-2/9
Answer please
Answer:
4/9
Step-by-step explanation:
Answer:
4/9
Step-by-step explanation: its just the answer lol
Find the value of x.
Answer:
x = 83°Step-by-step explanation:
[tex] {x}^{o} + {75}^{o} + {97}^{o} + {105}^{o} = {360}^{o} \\ {x}^{o} + {277}^{o} = {360}^{o} \\ {x}^{o} = {360}^{o} - {277}^{o} \\ {x}^{o} = {83}^{o} \\ [/tex]
my Christmas present to you
merry Christmas to you!
Five pipes can fill a tank in 80 minutes. At the same rate, how long will it take 8 pipes to fill the same tank?
Answer:
50 minutes
Step-by-step explanation:
it takes 80 minutes for 5 pipes
so for 1 pipe it will take 5x80=400min
and for 8 pipes it will take 400/8=50min
Quick easy question
Answer:16
Step-by-step explanation:
144^0.5 = 12
400^0.5 = 20
a^2=b^2+c^2
20^2 = 12^2 +x^2
x^2 = 400-144= 256
x =16
Answer:
16
Step-by-step explanation:
the students at Walden Middle school are selling tins of popcorn to raise money for new uniforms. they sold 42 tins in the first week. how much money did they make in the first weeks
Answer:
$388.50
Step-by-step explanation:
9.25 * 42 = $388.50
Lesson 3: Revisiting Proportional Relationships
han earns $33,00 for babysitting 4 hours. at this rate, how much will he earn if he babysits for 7 hours?
Answer:
$57.75
Step-by-step explanation:
7×33/4
231/4
57.75
A pump fills a pool at a constant rate. At the end of 4 minutes it has filled 36 gallons
of water. Which table represents the relationship between the number of minutes and
the number of gallons of water in the pool?
А
B
Time
Water
(minutes) (gallons)
Time Water
(minutes) (gallons)
4.
1
1
4
8
2
2
8
12
3
3
12
с
D
Time
Water
(minutes) (gallons)
Time Water
(minutes) (gallons)
1
9
9
1
2
18
18
2
3
27
27
3
Answer:
C
Step-by-step explanation:
36 gallons ÷ 4 minutes = 9 per minute
HELP ME WITH THIS PLEASEEE !
Answer:
34 i think i got it really wrong but...
Step-by-step explanation:
help pls again hmmmm
Answer:
here is your answer
Step-by-step explanation:
option d.)5³/3³
Which list shows the numbers below in order from least to greatest? 5.78,-5.9,58%,-(23)/(4) A -5.9,-(23)/(4),5.78,58%, C -5.9,-(23)/(4),58%,5.78 B -(23)/(4),-5.9,58%,5.78, D 58%,-(23)/(4),5.78,-5.9
Answer:
D
Step-by-step explanation:
A forest covers 54,000 acres. A survey finds that 0.6% of the forest is old-growth trees. How many
acres of old-growth trees are there?
Answer:
324
Step-by-step explanation:
given that 4 : 6 = 3 : (m+2), find m.
Answer:
Step-by-step explanation:
Please Help! I don't have much time to finish!
Answer:
............
Step-by-step explanation:
here........
Latoya took a taxi home from her best
friends house. The taxi charged an initial
fee of $3 plus an additional $1.75 per mile.
write an expression that represents the
amount of money Latoya will spend on
the taxi after traveling x amount of
hours.
Answer:
y=1.75x+3
Step-by-step explanation:
Using slope-intercept form, we can use our initial value of 3, plus our 1.75 per mile, or x, since miles are calculated per hour
Answer:
y=1.75x+3
Step-by-step explanation:
Do you mean x amount of miles? if you do, you would add 3 because 3 is the amount of money that you have to pay no matter how far you go. You would get 1.75x because the number of miles you travel in the taxi, you would have to multiply that number by 1.75 to get the amount of money you would have to pay in addition to the 3 dollars that you would definitely have to pay.
Simplify the difference. (7w2 – 7w – 8) – (5w2 + 2w – 3)
Answer:
2w2-5w-11 just subtract the second set of numbers from the first but it has to be like terms such as anything that is squared would only be applicable to another term with that is squared. a term is any group of number separated by a plus or a minus but it is not a term if it is separated by a multiplication symbol or a division symbol
Answer:
2w^2 - 9w - 5
Step-by-step explanation:
I got it right in Grandpoint.
Basically find the circumcenter.
the map shows the three most highly populated location of a city, City officials want to build an emergency healthcare cent in a location that sis the same distance from each of the three locations. Find the coordinates of the location the city should use for the emergency healthcare center.
Coordinates:
A(2,14) B(12,14) C(5,0)
Answer:
(7 , 7.75)
Step-by-step explanation:
What is the value of the expression below?
(8+1/8) divided by (2.5+3/4)
2.5
4.875
11.375
26.4
Answer:
2.5
Step-by-step explanation:
(8+1/8) = 8.125
(2.5+3/4) = 2.5 + 0.75 = 3.25
8.125 / 3.25 = 2.5
What is the slope of the line through (6,0) and (7,1)
[tex]\huge \bf༆ Answer ༄[/tex]
Let's find the slope of line passing through given points ~
[tex] \sf \dfrac{y2 - y}{x2 - x1} [/tex][tex] \sf \dfrac{1 - 0}{7 - 6} [/tex][tex] \sf \dfrac{1}{1} [/tex][tex] \sf1[/tex]Hence, slope of the line will be 1.
Answer:
1
Step-by-step explanation:
slope = (change in y)/(change in x)
slope = (1 - 0)/(7 - 6)
slope = 1/1 = 1
Answer: 1
can someone please tell me how to do 2470; 3030; 3320; 4030; 2900; 4120 in stem and leaf diagram?
Before you start, please make a title for your Stem & Leaf plot.
1) Make two columns; Stem and Leaf.
2) Under "Stem" list the following whole numbers: 0, 1, 2, 3, 4, 5, 6. Notice that each number will correspond to each number you gave us.
3) Under "Leaf":
Only the last digits of the numbers go into the Leaf. If I number, for example, starts with 0, the remaining digits go into the Leaf.
4) Create a Key, which allows whoever is reading your plot to understand what the plot means. For example 2|4=24, since 2 is the stem and 4 is the leaf. We usually read a stem and leaf plot as the remaining digits go after the stem but if otherwise a Key is a must have when creating a plot.
The Key can be any set of numbers you have in your Stem and Leaf plot.
Company A: A 2-column table with 5 rows. The first column is labeled hours with entries 5, 12, 20, 29, 42. The second column is labeled earnings (dollar sign) with entries 340, 404, 460, 530, 630. Company B: A 2-column table with 5 rows. The first column is labeled hours with entries 4, 9, 20, 32, 39. The second column is labeled earnings (dollar sign) with entries 125, 234, 450, 668, 828. If Amelia wants to make the maximum amount of money working only 22 hours per week, which company should she work for? Explain your answer. Company A: Using linear regression models from both data sets, she determines that it pays about $14 more. Company A: Using quadratic regression models from both data sets, she determines that it pays about $5 more. Company B: Using linear regression models from both data sets, she determines that it pays about $10 more. Company B: Using exponential regression models from both data sets, she determines that it pays about $8 more.
Answer:
86 & tends to increase
Step-by-step explanation:
Goodluck :)
Answer:
Company B: Using linear regression models from both data sets, she determines that it pays about $10 more.
Step-by-step explanation:
C/3
please help me asap..
ty :)
Answer:
x = 3, 0
y = 0, -4
Step-by-step explanation:
How do i Multiply and divide integers? please answer quick if possible ♀️
Answer
To multiply integers, simply multiply the unsigned numbers and place the sign on the product by repeating the above rules.
To divide unsigned integers, we divide the unsigned numeric values and put a minus sign on the result.
what is the tangent ratio of angle x°
Answer:
tan x = 3/4
Step-by-step explanation:
The hypotenuse of the triangle is 10 ft.
For angle x, the opposite leg is 6 ft, and the adjacent leg is 8 ft.
tan A = opp/adj
tan x = 6 ft / 8 ft
tan x = 3/4
Select the correct answer.
Which equation best models the set of data shown in this table?
Х
0
2
4
6
00
8
10
12
14
16
18
11
19
у
27
35
37
40
44
45
48
52
OA. y = 11v– 0.3 + 4.3
OB.y = 1177 + 0.3 – 4.3
O c.
y = 23 + 17
OD. y = 2.3 – 17
Answer: I cannot tell what equations you are talking about.
Step-by-step explanation:
Please type in the equations instead of copying and pasting so we can know what the actual equation is. Thank you.
Answer: B
Step-by-step explanation:
Got it right
pls hurry will mark brainliest pls show
solve the move step equation
- 7x + 8 = 6x - 44
Answer: The answer is X = 4.
Answer:
x = 4
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& roots)
Multiplications
Divisions
Additions
Subtractions
First, subtract 6x and 8 from both sides of the equation:
-7x (-6x) + 8 (-8) = 6x (-6x) - 44 (-8)
-7x - 6x = -44 - 8
-13x = -52
Next, fully isolate the variable, x, by dividing -13 from both sides of the equation:
(-13x)/-13 = (-52)/-13
x = -52/-13 = 4
x = 4 is your answer.
~
Simplify using order of
operations.
53 + 28 : 7-1
Step-by-step explanation:
53 + 28 =81
7-1=6
81:6
÷3 both side
27:2
Lowest form is 27:2
