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]
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Simplify each expression by filling in the box.
Answer:
1. (2^3)^3 = 2^x x=9
2. 4^x x = 6 5^y y= 9
3. 3^6/3^3 = 3^x x = 3
please please help for brainlist !!!!!!!!
f(x) is linear.
g(x) is exponential.
F(x) is linear! Remember, linear functions have a set amount of rate of change, in this case it’s 2! G(x) is a exponential function because instead of going down by a certain amount, it’s simply going down by half.
Hope this helps!
TACOS Orlando spent $18 at a taco truck. He ordered 4 tacos. Write and solve an equation to
find the cost of each taco.
Answer:
$4.5 for one taco
Step-by-step explanation:
18 divided by 4
The division is a process of splitting a specific amount into equal parts.
The equation to find the cost of each taco truck is 4x = 18.
The cost of each taco truck is $4.5.
What is division?The division is a process of splitting a specific amount into equal parts.
Example:
5 apples cost $60.
Cost of each apple = 60/5 = $12.
We have,
Total amount spend = $18
Number of taco trucks where $18 was spent = 4
Let the cost of each taco truck = x
The equation to find the cost of each taco truck can be written as:
4x = 18
We need to find x.
x = 18/4
x = $4.5
Thus the cost of each taco truck is $4.5.
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Will's Burger Place made 29 burgers. 18 of the burgers had onions. What is the ratio of the number of burgers without onions to the total number of burgers?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
Answer:
11:18
Step-by-step explanation:
Hope this helped!
Need help ASAP! Directions in picture ;)
Answer:
Simplifying
X + 59 + 84 + X + 51 = 180
Reorder the terms:
59 + 84 + 51 + X + X = 180
Combine like terms: 59 + 84 = 143
143 + 51 + X + X = 180
Combine like terms: 143 + 51 = 194
194 + X + X = 180
Combine like terms: X + X = 2X
194 + 2X = 180
Solving
194 + 2X = 180
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-194' to each side of the equation.
194 + -194 + 2X = 180 + -194
Combine like terms: 194 + -194 = 0
0 + 2X = 180 + -194
2X = 180 + -194
Combine like terms: 180 + -194 = -14
2X = -14
Divide each side by '2'.
X = -7
Simplifying
X = -7
Describe the slope of the line with the equation
y = -4x + 10.
A: positive slope
B: negative slope
C: zero
D: undefined
[tex]\huge \tt༆ Answer ༄[/tex]
The given equation of the line is in slope intercept form, and if we equate the given equation with general equation of line (y = mx + c) , we will get slope (m) = -4
And therefore, the slope of the line is B
Negativeguys pls help with all the steps
Step-by-step explanation:
To solve both questions you will have to use the Pythagoras theorem
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
c being the hypotenuse
so to find AB we say
[tex] {ap}^{2} = {pb}^{2} + {ab}^{2} [/tex]
To make AB the subject of the formula, we take PB over. Therefore:
[tex] {ab}^{2} = {ap}^{2} - {pb}^{2} [/tex]
now we just substitute
[tex] {ab}^{2} = {13}^{2} - {5}^{2} [/tex]
[tex] {ab}^{2} = 169 - 25[/tex]
[tex] {ab}^{2} = 144[/tex]
square root both sides of the equation
[tex]ab = 12[/tex]
We then use the same formula to find AQ(which is a hypotenuse)
[tex] {aq}^{2} = {ab}^{2} + {bq}^{2} [/tex]
[tex] {aq}^{2} = {12}^{2} + {9}^{2} [/tex]
[tex] {aq}^{2} = 144 + 81[/tex]
[tex] {aq}^{2} = 225[/tex]
square root both sides
[tex]aq = 15[/tex]
Manuel has 4
4 gallons of diesel in his tractor. If the tractor holds 7 gallons of diesel
many more gallons does he need to add to completely fill the tractor's fuel tank
Answer:
3
Step-by-step explanation:
7-4=3
Answer:
He has three!
Step-by-step explanation:
7-4=3 so manuel needs three more gallons! Hope this helps! :)
HELPPP EASY MATH IM IN 5 GRADE
Answer:
What's the question of the problem
?????????????????????
Step-by-step explanation:
Distributive property
Find the diameter of a circle with a circumference of 443 feet. Use 3.14 for pi
143
21
7
5
and if you can go answer my other questions????? plzzz
Mr. Rossi works 20 days a month. How far does he drive in a month?
Answer:
No solution
Step-by-step explanation:
How should I kow how much he drove? I need at least one distance. Either your fooling me, or the person who gave you this question is. There is no solution.
solve the ratio with solution nonsense=report
1.23:67
2.67:89
A nutrition company is marketing a low-calorie snack brownie. A serving size of the snack is 3 brownies and has a total of 50 calories.
(a) Determine how many calories 6 brownies would have.
(c) Determine how many calories 14 brownies would have. Round to the nearest calorie.
(b) Determine how many calories 21 brownies would have.
(d) If c represents the number of calories and b represents the number of brownies, write a proportional relationship involving c and b and solve it for c.
(e) Graph the proportional relationship you found
in part (d) on the grid shown. 300
200 100
(f) Using the graph, what is the smallest whole number of brownies a person would need to eat in order to consume 125 calories? Illustrate on your graph.
(g) Algebraicallydeterminethenumberofbrownies a person would need to eat in order to consume 300 calories.
Answer:
Step-by-step explanation:
R
The number of calories in 14 brownies is 233 calories.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
given that,
A nutrition company is marketing a low-calorie snack brownie. A serving size of the snack is 3 brownies and has a total of 50 calories.
The first step is to determine the average calorie in 1 brownie.
Average calorie = 50 calories / 3 = 16.667 calories
In order to determine the number of calories in 14 brownies, multiply the average calorie by 14 brownies.
Total calories = 16.67 x 14 = 233 calories
Hence, The number of calories in 14 brownies is 233 calories.
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(Uhm....This is a question out of maths) How many floors are 78 steps
f(x) = -4(x+2) what is f(4)
Answer:
-24
Step-by-step explanation:
f(4)= -4(x+2)
f(4)= -4(6)
f(4)= -24
Answer:
F(x)=-4(x+2)
0=-4-8
4x=-8
X=-2
So,-2×2
-4
Step-by-step explanation:
Have a great day!
please help me to get the answers please its important
Answer:
Q16a: 432 cm³
Q16b: sides: 20 m, 6 m; height: 13 m.
Step-by-step explanation:
Q16aEach cube will have a volume ...
V = s³
V = (6 cm)³ = 216 cm³
The two cubes together will have a volume that is twice that.
The cuboid volume is 432 cm³.
__
Q16bLet h represent the height of the trapezium. Then its area is ...
A = 1/2(b1 +b2)h
169 = 1/2((h +7) +(h -7))h = 1/2(2h²) = h²
h = √169 = 13 . . . . . distance between the parallel sides
The side lengths are h+7 = 20 m and h-7 = 6 m. The distance between them is 13 m.
I NEED HELP PLEASE will give crown
Answer:
hey. use cymath. its easier and youll me able to answer more questions like this. it also shows you the whole process. here look:
Step-by-step explanation:
Find the area of the circle. Use 3.14 for pi *
87.9
614.5
153.8
43.9
Answer:
614.5
Step-by-step explanation:
Hope this helps!
Answer:
87.9
Step-by-step explanation:
The formula for the area of a circle is pi times r to the power of two, written as πr^2. so we input our values.
πr^2
(3.14)(14^2)
(3.14)(196) ≈ 87.9
Please Help
Factor the polynomial: x^3 + 3x - 2x - 6
Answer:
(x^2-2)(x+3)
Step-by-step explanation:
x^3 + 3x^2 - 2x - 6
x^2(x+3)-2(x+3)
(x^2-2)(x+3)
Use the Associative Property to write and expression equivalent to (w+9)+3.
Please use your explanation.
The equivalent expression for the given expression (w+9)+3 using associative property is w + 12
Solution:
Given that, expression is ( w + 9 ) + 3
We have to find how do we can use the associative property to write an expression equivalent to ( w + 9 ) + 3
The associative property states that you can add or multiply regardless of how the numbers are grouped
By above definition, we get
(a + b) + c = a + (b + c)
So, now let us apply the above property to the given expression,
Then, ( w + 9 ) + 3 = w + ( 9 + 3 ) = w + 12
Hence, the equivalent expression for the given expression is w + 12
Associative property:-
[tex]\boxed{\sf (a+b)+c=a+(b+c)}[/tex]
Now
[tex]\\ \sf\longmapsto (w+9)+3[/tex]
[tex]\\ \sf\longmapsto 3+(w+9)[/tex]
When looking at a graph, explain how you would know two variables were not proportional.
Answer:
a straight line that does not go through the origin.
A movie screen has an area of 162 square meters and a perimeter of 54 meters. What are the dimensions of the screen?
____meters by ___ meters
Answer:
18 meters by 9 meters (or 9 meters by 18 meters)
Step-by-step explanation:
lets say the dimensions are x and y. we have x*y=162, and 2x+2y=54. from the second equation we have x+y=27 so y=27-x. plug this into the first equation to get x(27-x)=162 or -x^2 + 27x = 162. x^2 - 27x + 162 = 0. simplify to get (x-18)(x-9)=0. so x=18 or x=9. when x=18, y=9, when x=9, y=18 so the dimensions are 18 by 9 meters
Find the domain of the expression.
the square root of x+5
See attachment for answer and math work.
Answer:
Step-by-step explanation:
"Domain" means what numbers are allowed to be x (or on a graph, for what x's does the graph exist)
Since inside a square root you have to have a positive number (actually, just not a negative number). So all the positive numbers work (any positive+5 is a positive number) BUT ALSO x can be 0, BUT ALSO, x can be as small as -5 and still the value inside the square root will not be negative
SO THIS MEANS all the x's we're allowed to use (that's the DOMAIN) are everything from -5 and bigger. In math we write that as x>= -5
There are two other main ways to write it: [-5, infinity symbol) OR {x|x>=-5} these all mean the same thing.
Write the integer from least to greatest. 4, 12, -12, -11
Answer:
-12, -11, 4, 12
Step-by-step explanation:
A negative number is less the higher it is, and a positive number is more the higher it is
express the following ratio in the simplest form 7.2m to 24cm
Answer:
Our simplified ratio is 3:10.
Step-by-step explanation:
We are given this ratio:
7.2:24We can tell that 7.2:24 = 7.2/24. Now, let's simplify.
=> 7.2/24 = 6/20=> 6/20 = 3/10Our simplified fraction is 3/10. Now, let's turn it back to ratio form.
=> 3/10 = 3:10Conclusion:
Therefore, our simplified ratio is 3:10.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Which congruence criteria is met in the following scenario?
AAS
ASA
SAS
None, because the sides of one triangle are NOT congruent to the sides of the other triangle.
SSS
What is 2 rounded to the nearest whole number?
Answer:
2
Step-by-step explanation:
WILL GIVE BRAINLY,5 STARS,AND THANKS
Answer: Yes, he does.
Step-by-step explanation:
55 x 12 = 600 Also can I see the answers for the question
What forms of the following equation in?
y=5x−3