Answer:
y=(5/6)x
Step-by-step explanation:
its how much it rises over how much it runs. so it goes up 5 and to the right 6
Answer:
Step-by-step explanation:
The y intercept is 0. The point that holds the y intercept is (0,0)
The slope is
m = y / x
y = 10
x = 12
m = 10/12
m = 5/6
The equation is y = 5/6 x which looks like D
The relationship between y and x is 9/3 which table represents this relationship and why?
Answer:
First one
Step-by-step explanation:
For every 1 in x the y goes up by 3
an equivalent expression to x-2y+3
Answer:
[tex]y=\frac{-x-3}{-2}[/tex]
Step-by-step explanation:
1. The first thing you should do is put it equal to 0:
[tex]x-2y+3=0[/tex]
2. You want to get y by itself so the next thing you do is subtract 3 to the other side because it is being added right now. It should look like this:
[tex]x-2y+3=0[/tex]
-3 -3
[tex]x-2y=-3[/tex]
3. Since x is also being added on the left side of the equation you want to get x to the other side so you do the opposite of addition (subtraction) and subract the x to the other side of the equation:
[tex]x-2y=-3[/tex]
-x -x
[tex]-2y=-x-3[/tex]
4. The next thing you want to do is get rid of that -2. Right now it is being multiplied by the y and the opposite of multiplication is division, so you are going to want to divide -2 by both sides of the equation.
[tex]\frac{-2y}{-2} =\frac{-x-3}{-2}[/tex]
5. The -2's cancel out and the right side of the equation cannot be simplified anymore which makes the new or equivalent equation:
[tex]y=\frac{-x-3}{-2}[/tex]
Anyone please solve and explain part b
Answer:
f(2) = -6
f inverse of 1/2 is 17/2
Step-by-step explanation:
We are given a function [tex]\displaystyle \large{f(x) = \frac{6}{2x-5}}[/tex]
To solve for part (a), we have to substitute x = 2 in f(x).
[tex]\displaystyle \large{f(2)=\frac{6}{2(2)-5} \\\displaystyle \large{f(2)=\frac{6}{4-5}=\frac{6}{-1}=-6[/tex]
Therefore, f(2) is -6.
Now we solve for part (b), we see the notation which is a minor different similar to f(x). We see that there is exponent of -1 between f and 1/2. The part (b) indicates that the function is an inverse of f(x).
[tex]\displaystyle \large{y=f^{-1}(x) \longrightarrow x=f(y)}[/tex]
To solve for part (b), first we solve for x in the function. Let f(x) = y.
[tex]\displaystyle \large{y=\frac{6}{2x-5}}[/tex]
Multiply both sides by 2x-5.
[tex]\displaystyle \large{y(2x-5)=\frac{6}{2x-5}(2x-5)}\\\displaystyle \large{y(2x-5)=6}[/tex]
Divide both sides by y-term.
[tex]\displaystyle \large{\frac{y(2x-5)}{y}=\frac{6}{y}}\\\displaystyle \large{2x-5=\frac{6}{y}}\\\displaystyle \large{2x=\frac{6}{y}+5}\\\displaystyle \large{x=\frac{6}{2y}+\frac{5}{2}}\\\displaystyle \large{x=\frac{3}{y}+\frac{5}{2}}[/tex]
Then swap x and y which we receive [tex]\displaystyle \large{y=\frac{3}{x}+\frac{5}{2}}[/tex]
Therefore, [tex]\displaystyle \large{f(x)=\frac{6}{2x-5} \longrightarrow f^{-1}(x)=\frac{3}{x}+\frac{5}{2}}[/tex]
Thus, [tex]\displaystyle \large{f^{-1}(\frac{1}{2})=\frac{3}{\frac{1}{2}}+\frac{5}{2}}\\\displaystyle \large{f^{-1}(\frac{1}{2})=6+\frac{5}{2}}\\\displaystyle \large{f^{-1}(\frac{1}{2})=\frac{17}{2}}[/tex]
____________________
Let me know if you have any questions in comment.
24. What are the x and y intercepts of the following
equation: 4x – 3y = 24
A. X-intercept (6,0) and y-intercept (0,-8)
B. x-intercept (-8,0) and y-intercept (0,6)
C. x-intercept (4,0) and y-intercept (0,-3)
D. x-intercept (-3,0) and y-intercept (0,4)
Answer:
C
A. X-intercept (6,0) and y-intercept (0,-8) wrong
B. x-intercept (-8,0) and y-intercept (0,6)wrong
C. x-intercept (4,0) and y-intercept (0,-3) correct
D. x-intercept (-3,0) and y-intercept (0,4) wrong
0.081 to simplest form
81/1000
hope this helps!
Two times 3X times Y times 4Z times X times Y times Z
Answer:
24*(X^2)*(Z^2)*(Y)
Step-by-step explanation:
2*(3X)*(4Z)*(X)*(Y)*(Z)
2*(3X^2)*(4Z)*(Y)*(Z) [Combine like terms (X)]
2*(3X^2)*(4Z^2)*(Y) [Combine like terms (Z)]
24*(X^2)*(Z^2)*(Y) [Combine like terms (2*3*4)]
The table shows the distance between Greenville and nearby towns. The distance between Astaville and
Greenville is 14 miles less than the distance between Greenville and Jonesborough,
Distance between Greenville and
Nearby Towns(miles)
Jonesborough
24
Willfower 21
Maybem 30
Part 1 out of 2
Enter two equations that state the relationship of the distances between the three towns. Use x as the
variable
Write the inequality represented by the graph below.
Answer:
y > -x + 3
Step-by-step explanation:
find the slope and y-intercept so you can create a linear equation:
y = mx + b ; m = slope and b = y-intercept
slope (m) = (3-0) / (0-3)
m = 3/-3 or -1
we can see the y-intercept by looking at the graph, it is 3
y > -x + 3
5. You purchase a bicycle with a retail (pre-tax) price of $760. The local sales tax rate is
7.6%. What is the final cost?
Answer:
Final cost is 817.76
Step-by-step explanation:
First find the amount of the tax
760 * 7.6%
760 * .076
75.76
Add this to the cost of the bike
760+57.76
817.76
Find the roots 3x^3-13x^2-26x-24
Thank you
Answer:
31781715561888155919761999
which statement is true?
Answer:
The slope of function A is less than the slope of function B
Explanation:
The slope for function B is 1/2, which is greaterthan 1/5, the slope of function A.
Answer:
the slope on Function A is less than Function B
Step-by-step explanation:
By doing rise over run we can get 1/2 on Function B and the Y intercept is 5 so the equation is y=1/2x+5
-10 , -6 , -2 , 2 , _____ this sequence in an A.P.? why?
May someone help me please!
Answer: i got you my boi answer is x > -3
Step-by-step explanation:
please help i dont understand
Answer:
[tex] \frac{ {y}^{2} }{4 {x}^{5} } [/tex]
A worker at a clothing store earns a 20% commission on a sale of $85.00. How much is the commission
Answer:
16$
Step-by-step explanation:
what equation has infinite solutions
4(x+2) = 9
4(x+2) = 4x + 8
4(x+2) = 4x + 2
4(x+2) = 12
Answer:
4(x+2) = 4x + 8
Step-by-step explanation:
because if they are multiplied out it would be 4x+8 = 4x + 8 which means it is infinite because both sides are equal
Please find the equation for this ASAP
Answer:
y=-2x-3
Step-by-step explanation:
the slope is 2/1 going down and the y intercept is -3
9 children win $20 each. Then the same 9 children win $10 each. How much combined money did each child win
Answer:
$270 in all
Just multiply 9x20 and 9x10 and add them together
pls help on my maths question
Answer:
Somewhat illegible but looks like the equation should be:
S = u t + 1/2 a t^2
100 = 20 + 1/2 * a * 4 where t = 2
a* 4 = 160
a = 40
Find the midpoint of the segment with the following endpoints. (2, -9) and (-4,-4)
Answer:
(-1,-6.5)
Step-by-step explanation:
midpoint formula: (x_m, y_m) = (x1+x2)/2),(y1+y2)/2)
(2-4)/2=-1, -9-4=-13/2=-6.5
=(-1,-6.5)
what's the answer? and how did you get it??
Answer:
97
Step-by-step explanation:
A straight horizonal line is 180 degrees, so you subtract 83 from 180 to get 97, which is the measure of angle JKL
y=−x−4
y=3/5x+4
How do i get the solution?
Answer:
by getting the solution
Step-by-step explanation:
Sketch the graph of each line
The standard equation of a line is y = mx+ b
where:
m is the slope of the lineb is the y-intercept of the lineThe y-intercept is the point where the line cuts the y-axis
For the equation y = -2x -4
For the equation, the line will cut the y-intercept at y = -4 with a negative slope of -2.For the equation y = -5/2x
For the equation, the line will cut the y-intercept at y = 0 with a negative slope of -5/2.Find the graphs attached.
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I need help plzzzzz!!!!!!!!
Answer:
100.73
Step-by-step explanation:
Area of Rectangle=140
Area of Semi-Circle=39.27
Area of Rectangle-Area of Semi-Cirlce=100.73
FACTORIZE AND Split the middle term: 72 + b - b^2
Answer:
- (b - 9)(b + 8)
Step-by-step explanation:
72 + b - b² ← factor out - 1 from each term and rearrange into standard form
= - (b² - b - 72) ← factor the quadratic
Consider the factors of the constant term (- 72) which sum to give the coefficient of the b- term (- 1)
The factors are - 9 and + 8
Use these factors to split the b- term
b² - 9b + 8b - 72 ( factor the first/second and third/fourth terms )
b(b - 9) + 8(b - 9) ← factor out (b - 9) from each term
(b - 9)(b + 8)
Then
72 + b - b² = - (b - 9)(b + 8)
HELP ME PLEASE, I need help and don’t understand at all !
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15 more than the quotient of a number x and 12.
Answer:
(x/12)+15
Step-by-step explanation:
Given the system of equations, what is the x-coordinate of the solution?
y = 3 - x 1/2
3x + 4y = 1
-11
22
-17/2
Answer:
i think x = -11
Step-by-step explanation:
x = -11
y = -17/2
Answer:
x = -11
Step-by-step explanation:
10. Find the range of possible values for the variable.
The range of possible values for the variable is x < 12
From the given figure, we can see that the side facing angle 30 degrees, is greater than the side facing angle 3x -6. Therefore the inequality expression is true based on the figure.
30 > 3x - 6
Swap sides
3x - 6 < 30
Add 6 to both sides
3x - 6 + 6 < 30 + 6
3x < 36
Divide both sides by 3
3x/3 < 36/3
x < 12
Hence the range of possible values for the variable is x < 12
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Mr. and Mrs. Ozawa are driving their family to a vacation spot 496 miles away. They want to get there in 8 hours. What is the average speed they need to drive?
The average speed Mr and Mrs Ozawa should drive is 62 miles per hour.
What is the difference between average and instantaneous speed?The average speed is calculated for a period of time while instantaneous speed is calculated at certain instant of time.
For instantaneous speed and average speed are equal for an object moving with constant speed.
The total distance travelled is given as 496 miles.
And, the total time taken is 8 hours.
Average speed can be calculated by taking the ratio of total distance and time as follows,
Total distance ÷ Total time
⇒ 496 ÷ 8
⇒ 62
Hence, the average speed is given as 496 miles per hour.
To know more about speed click on,
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