Answer:
a=18/b2
Step-by-step explanation:
The required equation for the indicated variable is a = 18/b² which is solved for a.
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
We have been given the equation for the indicated variable as
⇒ 1/3ab² = 6
Multiply by 3 both sides of the above equation,
⇒ ab² = 6×3
⇒ ab² = 18
Divide by b² into both sides of the equation, and we get
⇒ a = 18/b²
Therefore, the required equation for the indicated variable is a = 18/b².
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f(x)= 1 / x-3 g(x)= 3x + 1/x A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions using interval notation. Please answer this worth 20 points
Step-by-step explanation:
(A) To find inverse of f(x) = y = 1 / x - 3 :
Transform in terms of x
y = 1 / x - 3
x - 3 = 1 / y
x = 3 + 1 / y
Exchange x with y :
[tex] {f}^{ - 1} (x) = 3 + \frac{1}{x} [/tex]
Therefore, g(x) is not inverse of f(x) and vice versa.
(B)
Domain of f(x) = R - {3}
Domain of g(x) = R - {0}
Enter the terms and the coefficients of the expression.
-60+ 7p - 3z
The terms are
, and
The coefficients are
and
Answer/Step-by-step explanation:
A term is part of an expression, which could be a number, a number multiplied with a variable, a variable, or 2 variables multiplied together.
The terms in the given expression, [tex] - 60 + 7p - 3z [/tex], are [tex] -60, 7p, -3z [/tex].
Coefficient is the number that is multiplied by a variable.
The coefficients in [tex] - 60 + 7p - 3z [/tex], are: [tex] 7, -3 [/tex].
On a coordinate plane, a line with a 90-degree angle crosses the x-axis at (negative 4, 0), turns at (negative 1, 3), crosses the y-axis at (0, 2) and the x-axis at (2, 0).
What is the range of the function on the graph?
Answer:
B
Step-by-step explanation:
The range of the function is {0, 3}.
The range of a function on a graph is the set of all possible output values (y-values) that the function can take. To find the range of the given function, we need to determine the y-values corresponding to the points where the function is defined.
Let's analyze the points provided:
The line crosses the x-axis at (-4, 0). This means the function's y-value is 0 when x = -4.
The line turns at (-1, 3). This point is on the line, so the function's y-value is 3 when x = -1.
The line crosses the y-axis at (0, 2). This means the function's y-value is 2 when x = 0.
The line crosses the x-axis again at (2, 0). This means the function's y-value is 0 when x = 2.
Now, let's consider the intervals between these points:
a) When x < -4 (to the left of -4): The function's y-value is 0, as the line is horizontal at y = 0.
b) When -4 ≤ x < -1: The function's y-value starts at 0 and increases to 3, as the line rises from (−4, 0) to (−1, 3).
c) When -1 ≤ x ≤ 2: The function's y-value remains constant at 3, as the line is horizontal at y = 3 between (−1, 3) and (2, 3).
d) When x > 2 (to the right of 2): The function's y-value decreases from 3 to 0, as the line descends from (2, 3) to (2, 0) and further to the right.
So, the range of the function is {0, 3}.
In mathematical notation, the range is written as:
Range = {y | y = 0 or y = 3}
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To which subset of real number does -2/5 belong in
Answer:
Rational Numbers.
Step-by-step explanation:
Rational numbers ( these can be written as a/v where a and b are integers, b not 0)
Evaluate 8j - k + 14 when j = 0.25 and k = 1
Answer:
Step-by-step explanation:
8*0.25-1+14
=2-1+14
=1+14
15
find the equation of the line containing the point (-3,5) and having slope: 4
a) y=4x-7
b) y=4x
c) y=-4-24
d) y=4x+17
e) none of the above
Answer: d) y=4x+17
remember y=mx+b
good luck
PLEASE HELP MEEE
Can someone calculate the area of this shape
Step-by-step explanation:
The 1st rectangle
16 *7=112
next triangle
find details
13-7=6
16-8=8
6*8
48÷2
24+112
136
Can you please explain and help me find the midpoint?
Answer:
once have a short glance to the above solution.
The midpoint of AB is ( -0.5 , 0)
What is -3 1/2+ 2 1/3
Answer:
-1.16666666667
Step-by-step explanation:
Answer:
-1 1/6
Step-by-step explanation:
Simplify ( If possible please show work)
Answer:
x^2y / 4
Step-by-step explanation:
x^4 y^4 / 4x^2 y^3
x^4 / x^2 = x^2 and y^4 / y^3 = y so:
this = x^2y / 4
First time I have been on here for a while. Here goes. -4(-d - 4) = -4d + 6(2d + 6) I kinda need help AsAp
Answer:
d= -13
Step-by-step explanation:
-4 ( -d - 4 ) = - 4d + 6 (2d + 6 )
4d - 16 = -4d + 12d + 36
4d - 16 = 8d + 36
- 4d - 4d
- 16 = 4d + 36
-36 -36
-52 = 4d
-52/4 4d/4
-13 = d
Carlos gets in a taxi that charges.20 per mile and initial charge of $1.00. Write an expression that Carlos could use to help him determine the total
cost of his trip where x represents the number of miles.
Answer: .20x+1.00
Step-by-step explanation:
Which graph matches the following description?
The function is decreasing over the interval (−∞,3) and increasing over the interval (3,∞). The function has a minimum of −2. The function has a y-intercept of (0,7).
Answer:
The third image is the correct answer.
Step-by-step explanation:
Answer:
3rd graph
Step-by-step explanation:
The answer is the 3rd graph.
The third graph has all the given characteristics.
It decreases from negative infinity to 3.
It increases from 3 to infinity.
It has a minimum value of -2.
It has a y-intercept of (0, 7).
Water from a leaking faucet is dripping into a cylindrical cup. The height of water in inches, y, after x hours is graphed below. Dripping Water A graph with hours on the x-axis and height (inches) on the y-axis. A line goes through points (1, 2), (2, 4), and (3, 6). Which describes the pattern of the data in the graph? The water level increases by 1 inch each hour. The water level increases by 2 inches each hour. The water level increases by a factor of one-half each hour. The water level increases by a factor of 2 each hour.
Answer:
y = 2x
Step-by-step explanation:
Step-by-step explanation:
Let
y ----> the height in inches
x ----> the time in hours
we have the ordered pairs
(1, 2), (2, 4), and (3, 6).
step 1
Find the slope
take two points to calculate the slope
(2, 4), and (3, 6)
The formula to calculate the slope between two points is equal to
m = 2 in/h
step 2
Find the equation of the line in point-slope form
we have
m =2
point (2,4)
Convert to slope-intercept form
isolate the variable y
y = 2x
how do I figure out the circumference of a circle
Answer:
[tex]\huge \boxed{\mathrm{C=\pi d}}[/tex]
Step-by-step explanation:
To find the circumference of a circle, you can multiply the value of the diameter of the circle with the value of pi.
[tex]\sf Circumference = \pi \times diameter[/tex]
[tex]\mathrm{C=\pi d}[/tex]
C=2•π•r
hope it helps;)
plz help :( what is n – 10 + 2n + 5
Answer:
n-10+2n-5
to me it look like it equal 3n-5
Step-by-step explanation
step one:
add n+2n which equal to 3n
step 2:
-10+5
you add 5 do -10 which equal to -5
and when u put them together the answer will be
3n-5
I need help!! Somebody help me I need this fast!
Answer;
m<EAD=29°
m<CAB=119°
Step-by-step explanation:
Angles on a straight line sum up to 180°
This implies that,
61°+90°+EAD=180°
151°+EAD=180°
Subtracting 151° from both sides,we obtain,
EAD=180°-151°
EAD=29°
Angles on a straight line add up to 180°.
this implies that,
CAB+61°=180°
Subtracting 61° from both sides,we obtain
CAB=180°-61°
CAB=119°
Thus,m<EAD=29° and m<CAB=119°
Answer:
29° and 119°
Step-by-step explanation:
Since CF is a straight line, then
90° + ∠ EAD + 61° = 180°, that is
∠ EAD + 151° = 180° ( subtract 151° from both sides )
∠ EAD = 29°
and
∠ CAB + 61° = 180° ( subtract 61° from both sides )
∠ CAB = 119°
What is the value of the expression below when y 8 and z = 8? 9y + 3z
Answer:
96
Step-by-step explanation:
8y+3z
9(8)+3(8)
72+24
96
ASAP!!! Please solve this problem!!!!
Answer:
[tex]\frac{4}{3}[/tex] x² - [tex]\frac{19}{9}[/tex] x + [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given
(2x - [tex]\frac{5}{3}[/tex] )([tex]\frac{2}{3}[/tex] x - [tex]\frac{3}{2}[/tex] )
Each term in the second factor is multiplied by each term in the first factor, that is
2x([tex]\frac{2}{3}[/tex] x - [tex]\frac{3}{2}[/tex] ) - [tex]\frac{5}{3}[/tex] ([tex]\frac{2}{3}[/tex] x - [tex]\frac{3}{2}[/tex] ) ← distribute both parenthesis
= [tex]\frac{4}{3}[/tex] x² - 3x - [tex]\frac{10}{9}[/tex] x + [tex]\frac{5}{2}[/tex]
= [tex]\frac{4}{3}[/tex] x² - [tex]\frac{27}{9}[/tex] x - [tex]\frac{10}{9}[/tex] x + [tex]\frac{5}{2}[/tex]
= [tex]\frac{4}{3}[/tex] x² - [tex]\frac{37}{9}[/tex] x + [tex]\frac{5}{2}[/tex]
There are five consecutive odd integers. The sum of the three smallest is 3 more than the sum of the two largest. Find the integers.
Answer:
The answer is "[tex]\bold{11, \ 13, \ 15, \ 17, \ 19}[/tex]".
Step-by-step explanation:
In word problem, it is solved by 2k+1, among the most common forms of even an, unlike number.
Let another odd integer become 2k+1.....(a)
(2K+1)+(2k+3)+(2k+5)=(2k+7)+(2k+9)+3(to take the left side 3 extra)
Quality for the k:
[tex]\to 6k+ 9 = 4k +19 \\\\\ \to 6k-4k= 19+9 \\\\ \to 2k = 10 \\\\ \to k = \frac{10}{2}\\\\ \to K = 5[/tex]
put the value of k, in the equation (a):
[tex]\to 2k+1 \\ \to 2(5)+ 1 \\ \to 10 + 1\\\to 11\\[/tex]
There are also 11, 13, 15, 17, and 19 episodes.
Let's test it! Let's test it. 11+13+15=39
17+ 19 = 36.
So we're right, the first 3 integer numbers are 3 more than the last 2.
Answer:
11,13,15,17,19
I checked the RSM thingy
:)
A. Area of the circle
B. Area of the rectangle
C. Calculate the area of the shaded region.
A. To find the area of a circle you need to use the formula A= π r²
The radius (R) is half of the diameter . . . that's 6.5 cm .
r² = ( 6.5)² = 42.25 cm²
Area = π r² = 42.25 π = 132.7 cm²
B. Area of a rectangle is just (length) x (width).
Length = 12 cm
Width = 5 cm
Area = (12 cm) x (5 cm) = 60 cm²
C. The shaded portion is the part of the circle that's NOT in the rectangle. So its area is (area of the circle) - (area of the rectangle)
Area = (132.7 cm²) - (60 cm²) = 72.7 cm²
Solve the equation. −3=h+8÷2 h=?
Answer:
h = -7
Step-by-step explanation:
8 ÷ 2 = 4Plug 4 in: -3 = h + 4Subtract 4 from each side, so it now looks like this: -7 = hI hope this helps!
Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid?
O "Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit
rate."
"Look at the graph of the relationship. Count the number of units up and the number of units to the right one must
move to arrive at the next point on the graph. Write these two numbers as a fraction."
O "Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit
rate."
O "Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is the
difference in the corresponding x-values."
Hi There!!
I think your best answer is B). Look at the graph of the relationship. Count the number of units up and the number of units to the right one must
move to arrive at the next point on the graph. Write these two numbers as a fraction."
I'm not sure this is 100% right....
Hope This Helps!!
[tex]Brazts[/tex]
The correct statement will be : Look at the graph of the relationship. Count the number of units up and the number of units to the right one must move to arrive at the next point on the graph. Write these two numbers as a fraction.
Given,
Unit rate for a proportional relationship.
Here,
When the unit rate for proportional relationship is to be identified than count the number of units at y axis or vertical axis and the number of unit at x axis or horizontal axis .
Take ratios of these two values .
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5xy – 3z when x = -2, y = 4, z = 6
Answer:
-58
Step-by-step explanation:
If we have the expression [tex]5xy-3z[/tex] and we know the values of x, y, and z, we can substitute inside the equation to find it's value.
[tex]5\cdot-2\cdot4 - 3\cdot6\\\\-40 - 18\\\\-58[/tex]
Hope this helped!
Answer: -58
Step-by-step explanation:
Fill it in to get (5)(-2)(4) - (3)(6) which is -40 - 18 = -58
Point K is on line segment JL. Given JL = x + 10, KL = 4x, and JK = 2x,
determine the numerical length of KL.
Answer:
8
Step-by-step explanation:
[tex]2x + 4x = x + 10 \\ 6x - x = 10 \\ 5x = 10 \\ x = 10 \div 5 \\ x = 2 \\ kl = 4x \\ 4 \times 2 = 8 \\ kl = 8[/tex]
If the value of x will be 2. Then the length of KL will be 8 units.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Point K is on line segment JL. Given JL = x + 10, KL = 4x, and JK = 2x.
Then the value of x will be
JL = JK + KL
x + 10 = 2x + 4x
5x = 10
x = 2
Then the length of KL will be
KL = 4x
KL = 4 (2)
KL = 8 units
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please help out i’m stuck please and thank you
======================================================
Explanation:
The given equation is y = (-3/4)x - 2. Comparing it to y = mx+b, the slope is m = -3/4
Flip the fraction and the sign to go from -3/4 to 4/3. This is the perpendicular slope. Multiplying the two slopes gets (-3/4)*(4/3) = -1.
Rule: the original slope and perpendicular slope always multiply to -1, assuming neither line is vertical or horizontal.
We'll use the point (x,y) = (3,6) and the perpendicular slope m = 4/3 to find the y intercept b
y = mx+b
6 = (4/3)(3) + b
6 = 4+b
6-4 = b
2 = b
b = 2
The y = mx+b equation becomes y = (4/3)x + 2 which is the slope intercept form of the perpendicular line.
--------------
Extra info:
If you want to convert to standard form Ax+By = C, then you could do the following steps
y = (4/3)x + 2
3y = 4x + 6 ... multiply everything by 3 to clear out the fraction
3y - 4x = 6
-4x + 3y = 6
4x - 3y = -6 ... multiplying both sides by -1; this is to make A > 0
If n-8=-3, what is 3n?
Answer:
34
Step-by-step explanation:
You and Anthony are having a swimming race. You can swim 4 meters per minute, and Anthony can swim 4.5 meters per minute. You start at the same time. After how many minutes will Anthony be ahead of you 2 meters?
Answer:
4 minutes
Step-by-step explanation:
Given that:
Person 1's speed = 4 meters per minute
Anthony's speed = 4.5 meters per minute
To find:
In how many minutes, Anthony will be 2 meters ahead ?
Solution:
Let the time taken = [tex]t[/tex] minutes
Distance covered by 1st person = D meters
Distance covered by Anthony = (D + 2) meters
Formula:
Distance = Speed [tex]\times[/tex] Time
For 1st person:
[tex]D = 4 \times t[/tex] ....... (1)
For Anthony:
[tex]D+2 = 4.5 \times t[/tex]
Using first equation:
[tex]4t + 2 = 4.5t\\\Rightarrow 0.5t = 2\\\Rightarrow \bold{t = 4\ minutes}[/tex]
So, in 4 minutes, Anthony will be 2 meters ahead of the first person.
a certain quantity grows exponeotially over time.the inital quantity at t=0 is 2000.the quantity grows by a factor of 20%. what is the quantity at t=8
Answer:
5200
Step-by-step explanation:
2000 x 20% = 400
400 x 8 = 3200
2000 + 3200 =5200
how do do the work for 12c+6c=36
Answer:
c = 2
Step-by-step explanation:
To solve this equation, you need to combine like terms and then divide by the coefficient of the variable on both sides of the equation.
To start, add 12c and 6c because they are like terms.
12c + 6c = 18c
Then, divide by 18 on both sides of the equation to solve for c.
18c = 36
---- ----
18 18
c = 2