(-3, -7).
Step-by-step explanation:1. Write the expressions.[tex](1)y= 2x-1\\ \\ (2)y= 3x+2[/tex]
2. Write equation 1 and substitute its y value by the argument of expression 2.[tex](3x+2)= 2x-1\\ \\3x+2= 2x-1[/tex]3. Subtract 2 in both sides of the equation.[tex]3x+2-2= 2x-1-2\\ \\3x=2x-3[/tex]
4. Subtract 2x from both sides of the equation.[tex]3x-2x=2x-3-2x\\ \\x=-3[/tex]
5. Verify the answer.To see of the answer is correct, both of the equation should give the same y value for the x value of -3.
[tex](1)y= 2(-3)-1\\ \\ y=-6-1\\ \\y=-7[/tex]
[tex](2)y= 3(-3)+2\\ \\y=-9+2\\ \\y=-7[/tex]
6. Express the final result.(x, y)
(-3, -7).
cos \theta =-(5)/(13) ∅and sin θ > 0. Identify the quadrant of θ and find sin θ.
Answer: D. Qufdrant: II
sinΘ=12/13
Step-by-step explanation:
[tex]\displaystyle\\cos\theta=-\frac{5}{13} \ \ \ \ sin\theta > 0\\\\sin^2\theta+cos^2\theta=1\\\\sin^2\theta=1-cos^2\theta\\\\sin\theta=б\sqrt{1-cos^2\theta} \\\\sin\theta > 0, \ \ hence\\\\sin\theta=\sqrt{1-cos^2\theta} \\\\sin\theta=\sqrt{1-(-\frac{5}{13})^2 } \\\\sin\theta=\sqrt{1-\frac{25}{169} } \\\\sin\theta=\sqrt{\frac{169-25}{169} } \\\\sin\theta=\sqrt{\frac{144}{169} } \\\\sin\theta=\frac{12}{13}[/tex]
[tex]\displaystyle\\\left \{ {{cos\theta < 0} \atop {sin\theta > 0}} \right. \ \ \ \ \Rightarrow\ \ \ \ quadrant\ II[/tex]
Write a linear function for the graph, and state and interpret the slope and y-intercept for the given scenario:
Water pressure can be measured in atmospheres (atm). Use the infomation in the graph to write an equation that models the pressure (y) at depth (x).
The linear function for the given graph is y = x + 0.1
What is a linear function?
The graph of a linear function is a straight line. The following is the form of a linear function. y = mx + b. One independent variable and one dependent variable make up a linear function. x and y are the independent and dependent variables, respectively.
The coordinates of the given graph are (0,1) and (10,2)
Then, slope (m) = (2-1)/(10-0) = 1/10 = 0.1
y-intercept (b) = 1
Then, y = 1x + 0.1
Hence, the linear function for the given graph is y = x + 0.1
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EIGHT TIMES THE RESULT OF SUBTRACTING 3 FROM A NUMBER IS EQUAL TO THE NUMBER INCREASED BY 25 WHAT IS THE NUUMBER
Find the total surface area of this cuboid.
Answer:
148cm
Step-by-step explanation:
HELPPPP!!!!! 30 POINTSSS!!!!!1
Which of the following scatter plots shows a negative correlation?
The scatterplot that shows a negative correlation is graph (b)
How to determine the scatter plots that shows a negative correlation?In this question, the graphs represent the given parameter
From the graphs, we have the following observations
The x values is on the horizontal axisThe y values is on the vertical axisTo determine the graph with a negative correlation, we make use of the following statements
When the change (increase) in the x values causes a change (increment) in the y values, then the correlation is positiveWhen the change (decrease) in the x values causes a change (decrement) in the y values, then the correlation is positiveFrom the list of options, we have
Graph (b) that shows increase - decrease relationship
Hence, the scatter plot is (b)
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Can you PLEASE Help!!!!!!
The given function in slope-intercept should be used to complete the table of values as follows;
x y
9 4
6 2
0 -2
-3 -4
A function that relates the distance (d) traveled to the time (t) is d = 120t.
A graph of the function is shown in the image attached below and it is a linear function.
How to complete the table of values?Mathematically, the slope-intercept form of a line can be calculated by using this equation:
y = mx + c
Where:
m represents the slope.x and y are the points.c represents the y-intercept.Next, we would use the given function in slope-intercept to complete the table of values as follows;
When y = 9, the value of x is given by:
y = 3x/2 + 3
9 = 3x/2 + 3
3x/2 = 9 - 3
3x/2 = 6
3x = 12
x = 12/3
x = 4.
When y = 6, the value of x is given by:
y = 3x/2 + 3
6 = 3x/2 + 3
3x/2 = 6 - 3
3x/2 = 3
3x = 6
x = 6/3
x = 2.
When y = 0, the value of x is given by:
y = 3x/2 + 3
0 = 3x/2 + 3
3x/2 = -3
3x = -6
x = -6/3
x = -2.
When y = -3, the value of x is given by:
y = 3x/2 + 3
-3 = 3x/2 + 3
3x/2 = -3 - 3
3x/2 = -6
3x = -12
x = -12/3
x = -4.
How to write a function for the distance and time?Mathematically, a constant of proportionality (speed) for this train's journey (distance) can be represented with the following mathematical expression:
d = kt
Where:
d represents the distance.t represents the time.k represents the constant of proportionality (speed).Next, we would determine the constant of proportionality (k) as follows:
Constant of proportionality (k) = d/t
Constant of proportionality (k) = 360/3
Constant of proportionality (k) = 120
Therefore, the required function that relates the distance (d) and time (t) is given by;
d = kt
d = 120t
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$12,800 a year, about 15% is taken out for taxes. How much is taken out for taxes?
Answer: 1920
Step-by-step explanation:
The function of X equals 2X is transformed to G X equals 2X -3 what type of transformation has occurred
The transformation that has occurred is a vertical shift by 3 units down when the function of X = 2X is transformed to X = 2X -3
What is meant by linear equations?Function that have the form ax + b = 0—where a and b are constants and x is a variable—are known as linear equations. Because they plot as a single direction, these equations are referred to as "linear which is equals to The slope of this line is dictated by the value of a, and the y-intercept (where the line crosses the y-axis) is determined by the value of b. Solving a linear equation entails determining the value of x that makes the equation true. Algebraic strategies like graphing, substitution, or elimination can be used for this. In a number of disciplines, such as engineering, physics, and finance, linear equations are often utilized.
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If an arrow is shot straight upward on the surface of the moon with initial velocity 60m/s, its height after t seconds is given by h(t) = 60t - 0.8t². (a) What is the velocity of the arrow after 1 second? (b) At what time t > 0 will the arrow hit the moon? (c) What is the velocity of the arrow when it hits the moon? (d) At what time does the arrow reach its maximal height? Show your working out!
The motion of the arrow, described by the kinematic equation for the height, h(t) = 60·t - 0.8·t² are as follows;
(a) The velocity after 1 second is 58.4 m/s
(b) The arrow hits the moon after 75 seconds
(c) The velocity of the arrow when it hits the moon is 60 m/s
(d) The arrow reaches the maximum height in37.5 seconds.
What is a kinematic equation?A kinematic equation is an equation that describes the motion of an object moving under constant acceleration.
The kinematic (equation) function for the height of the arrow is; h(t) = 60·t - 0.8·t²
The initial velocity of the arrow = 60 m/s
(a) The velocity of the arrow = The rate of change of the height, therefore;
v = h'(t) = 60 - 2 × 0.8·t = 60 - 1.6·t
The velocity after 1 second = h'(1) = 60 - 1.6 × 1 = 58.4
The velocity of the arrow after 1 second is 58.4 m/s
(b) When the arrow hits the moon, we get;
h(t) = 0, therefore;
h(t) = 60·t - 0.8·t² = 0
( 60 - 0.8·t)·t = 0
t = 0 or 60 - 0.8·t = 0
t = 60/0.8 = 75
The time the arrow hit the moon is 75 seconds after being shot
(c) The velocity of the arrow when it hits the moon is found using the equation;
h'(37.5) = 1.6 × 37.5 = 60
The velocity when it hits the moon, the velocity is 60 m/s
(d) The motion of the arrow is symmetrical, therefore, the time it takes the arrow to reach the the maximal height is the time it takes the arrow to reach back to the moon surface, which indicates;
The time it takes the arrow to reach maximum height is half the time it takes the arrow to hit the moon after being shot = 75/2 seconds = 37.5 seconds
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Given f(x)=-x-5, find f(0)
PLEASE HELP ME!!!!!!
replace x with 0
f(x) = -x - 5
find f(0)
f(0) = 0-5
f(0) = -5
Give the linear homogeneous DE with constant coefficients that has solution y =
(c1)e^(−2x) + (c2)e^(x).
y''+y-2=0 is the linear homogeneous DE with constant coefficients that has solution y=c₁e⁻²ˣ+ c₂eˣ
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
Given the general solution y=c₁e⁻²ˣ+ c₂eˣ
the set of fundamental solutions becomes eˣ and e⁻²ˣ
This set is corresponding to the distinct roots m= 1, -2of the corresponding auxiliary equation. Hence, the auxiliary equation so formed is
(m-1)(m-(-2))
(m-1)(m+2)
m²+2m-m-2
m²+m-2
The corresponding linear homogeneous DE with constant coefficients is
y''+y-2=0
Hence, y''+y-2=0 is the linear homogeneous DE with constant coefficients that has solution y=c₁e⁻²ˣ+ c₂eˣ
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I need the equation to solve this problem
What equation to solve what problem?
Sorry for the reupload I just need some help on this question please thank you
(Comparing Two Linear Functions)
The equation that represent each situation, in terms of x, is
A = 19 + 0.50xB = 13 + 1.50xThe number of monthly movies watched, x, that would make the two plans have an equal monthly cost is 6 movies.
How to write and solve equation?Let
Monthly cost of plan A = AMonthly cost of plan B = BNumber of monthly movies watched = xPlan A:
A = 19 + 0.50x
Plan B:
B = 13 + 1.50x
Equate A and B
19 + 0.50x = 13 + 1.50x
collect like terms
19 - 13 = 1.50x - 0.50x
6 = x
Hence,
x = 6 movies
In conclusion, the number of monthly movies watched to have an equal amount is 6 movies.
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8 times the difference of 10 and b
Answer:
8(10-b)
Step-by-step explanation:
8(10-b)
open the bracket
80-8b
hope it helps.. please mark brainliest
emma ray and norman shared 4/5 of a pizza. Do you think thet had 1/3 each? yes or no?
No, because 4/5 divided by 2 is 2/5 which does not equal 1/3 :)
HELP ME OUT PLEASEEEEE TANKS
Answer: N = 5
Step-by-step explanation:
help please quick question
[tex]f=\frac{x}{x-1}[/tex]
the domain is 1
composite f of f is: f(f(x))
finding the domain of the composite through [tex]\frac{x}{x-1} =1\\x=x-1\\0=-1\\[/tex]
using a graphing calculator, I know that a hole is at (1,1), but can I figure that out without using a graphing calculator and through the domain, say 1=0. Can somebody please just quickly explain this to me.
Step-by-step explanation:
What you are trying to do, it solve for the zeros of the rational function. To find the domain of composite function,
[tex] \frac{x}{x - 1} [/tex]
Substitute x/(x-1) for every x you see.
[tex] \frac{ \frac{x}{x - 1} }{ \frac{x}{x - 1} - 1} = \frac{x(x \\ - 1)}{1} = x(x - 1)[/tex]
We know that the function domain can not be 1, this functions works for all reals, so our domain is
All reals except 1.
Aisha's softball coach can buy equipment for 8 players for $3080 or for 6 players for $2430. Which option is the better deal? Explain.
Answer:
Equipamiento para 8 jugadores
Explanation:
Porque la diferencia de dinero no es muy grande ni muy pequeña, por lo que obtienes equipamiento para más jugadores a un buen precio.
Square MNOP with vertices M(-7,-4),
N(-4,-3), O(-3, -6), and P(-6, -7): k = 2
The image of the scaled copy of the square is M'(-14,-8), N'(-8,-6), O'(-6, -12), and P'(-12, -14)
What is dilation?Dilation involves enlarging or reducing the side length of a shape to create another shape by a constant scale factor, where the scale factor does not equal one.
How to determine the image of the scaled copy of the square?From the question, we have the following parameters that can be used in our computation:
Square MNOP with vertices M(-7,-4), N(-4,-3), O(-3, -6), and P(-6, -7): Scale factor of dilation, k = 2This means that
Scaled copy = Scale factor * Vertices of MNOP
So, we have
M'N'O'P' =M(-7,-4), N(-4,-3), O(-3, -6), and P(-6, -7)* 2
Evaluate
M'N'O'P' =M'(-14,-8), N'(-8,-6), O'(-6, -12), and P'(-12, -14)
Hence, the image of the dilation is M'(-14,-8), N'(-8,-6), O'(-6, -12), and P'(-12, -14)
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Complete question
Given that Square MNOP with vertices M(-7,-4), N(-4,-3), O(-3, -6), and P(-6, -7): k = 2
Calculate the image of the scaled copy
Help please asap!!
A- z=15
B- z= 20
C- z=23
D- z=41
Answer:
z = 15
Step-by-step explanation:
The sum S of the interior angles of a regular polygon is given by the formula
S = (n-2) x 180 where n is the number sides
Here n = 9
So S = (9-2) x 180 = 7 x 180 = 1,260
There are 9 interior angles and each angle is (5z + 65)
So the sum of all 9 interior angles = 9 (5z + 65)
= 45z + 585
Set these equal to each other and solve for z
45z + 585 = 1260
45z = 675
z = 675/45 = 15
Find the circumference of this circle.
Use 3.14 to approximate ™.
C = 2πr
14 ft
C = [?] ft
Entered
Answer:
43.9823
Step-by-step explanation:
14 / 2 = 7
7 = r
2π(7)
= 43.9823
why did the chicken cross the rode
Answer: y did the chicken cross the road
Step-by-step explanation: ??????
What is the range of the function shown ???
Answer:
option number 2
Step-by-step explanation:
you can see inital and final co ordinate
Answer:
y > -2
Step-by-step explanation:
The range of a function is the set of all possible output values (y-values).
From inspection of the given graph:
The y-value of the lowest point of the curve is just above y = -2.The y-value of the highest point of the curve is more than y = 3.Therefore, the most appropriate range from the given answer options is:
y > -2Note: The graph appears to be the exponential function [tex]y=2^x-2[/tex] with a horizontal asymptote at y = -2. This means that the curve will get closer and closer to y = -2 as x approaches negative infinity, but it will never touch it. The function approaches infinity as x approaches infinity. Therefore, the range for this function is y > -2
An orchard has 468 pear trees. The number of rows exceeds the number of trees per row by 8. How many trees are there in each row
If an orchard has 468 pear trees and The number of rows exceeds the number of trees per row by 8. the number of trees that are in each row would be 18
How to solve for the number of treesWe have to define T as the number of trees that are in a row.
Then we have to define t + 8 as the number of rows that we have
This would give us the equation that is written as
t(t + 8) = 468
then we would have
t² + 8t -468 = 0
We would have to find the factors of 468 which when inputted in the equation would give us the value 468
t(t + 8) = 468
This factor would be 18
such that
18 ( 18 + 8) = 468
18 * 26 = 468
468 = 468
Hence the number of trees that are in each row would be 18
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100 points for correct answer
Answer:
[tex]\dfrac{x}{3}+\dfrac{3}{y}[/tex]
Step-by-step explanation:
Given fraction:
[tex]\dfrac{xy+9}{3y}[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a+b}{c}=\dfrac{a}{c}+\dfrac{b}{c}:[/tex]
[tex]\implies \dfrac{xy}{3y}+\dfrac{9}{3y}[/tex]
Rewrite 9 as 3 · 3:
[tex]\implies \dfrac{xy}{3y}+\dfrac{3 \cdot 3}{3y}[/tex]
Cancel the common factor y in the first fraction and the common factor 3 in the second fraction:
[tex]\implies \dfrac{x\diagup\!\!\!\!y}{3\diagup\!\!\!\!y}+\dfrac{\diagup\!\!\!\!3 \cdot 3}{\diagup\!\!\!\!3y}[/tex]
[tex]\implies \dfrac{x}{3}+\dfrac{3}{y}[/tex]
Please help, I will give brainliest to the fisrt person to answer CORRECTLY.
Answer: there will be 4/7 of 7/4 groups in 1. and for 3÷7/4=1.71428571429.
Step-by-step explanation: I hope this helps.
Find the slope of the line that passes through all of the points
on the table.
x
3
4
5
6
7
8
y
1
10
19
28
37
46
Answer:
this is what I got and hope this helps sorry if it's wrong
If using the method of completing the square to solve the quadratic equation x^2-16x+37=0 which number would have to be added to "complete the square"?
Answer:
-27
(negative number)
Step-by-step explanation:
-b/2a = -(-16)/2(1) = 16/2 = 8
x + 8
x x^2 8x
+
8 8x 64
So we got 64, but 64 is not 37 so we need to change that by subtracting 27 from it.
64 - 27 = 37
So the final answer (in vertex form) is:
(x+8)^2 - 27
(-27) is the number being added
Manita installs a program on her computer. After 3 minutes, the window shows that the installation is 15% complete. Humi installs the same program on a different computer. After her computer showed that the installation was 15% complete, it took Humi’s computer 68 minutes to complete the installation. Which computer installs the program faster and how many minutes faster did it install this program?
Manita's computer installed the software 48 minutes before than Humi's computer.
What is unit rate?A unit rate means a rate for one of something.
Given that, Manita's computer takes 3 minutes to download a program 15% and Humi's computer install it in 68 minutes 100%.
Manita's computer;-
15% in 3 min
1% in 1/5 minutes
100% in 1/5x100 = 20 minutes.
Whereas, Humi's computer took 68 minutes to install the same program.
This mean, Manita's computer was faster than Humi's.
68-20 = 48
Hence, Manita's computer installed the software 48 minutes before than Humi's computer.
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EXTRA POINTS!! Just Find the length of the missing side for the triangle below:
Round to the nearest tenth of a foot.
o 20.1 feet
o 26.5 feet
0 34.1 feet
© 23.6 feet
Answer:i is 20.1
Step-by-step explanation: