Answer:
Step-by-step explanation:
m=-2/3
b=-7
First, find the slope-intercept form.
y=mx+b
You know what the m and b values are, so simply plug them into the equation.
Slope-Intercept Form
y=-2/3x-7
From there, let's find the point-slope equation.
An easy way to find a coordinate point that the line crosses is to set one of the x or y variables equal to 0.
So let's set the x to 0.
y=-2/3x-7
y=-2/3(0)-7
y=-7
Therefore, when x is 0, y is equal to -7. We can now write our point. (0,-7)
Use the point-slope formula to write the point-slope equation.
y-y1=m(x-x1)
Point-Slope Equation
y-(-7)=-2/3(x-0)
Now, to find the standard form equation, let's find it using our slope-intercept equation. The formula to find standard form is
ax+by=c
y=-2/3x-7
Standard Form Equation
2/3x+y=-7
what is i to the power of 5
Answer: What does I stand for? If you meant 1, 1 to the power of 5 is 1.
Answer:
i
Step-by-step explanation:
i^5=(i)(i)(i)(i)(i)
Since i^2=(i)(j)=-1,
it follows that i^4=(i^2)(i^2)=(-1)(-1)=1.
Thus i^4*i=i^5=1*i=i.
Therefore, i^5=i.
which is a better deal? 5 pens for $1.85 OR 8 pens for $3.12 ? find the unit rate
Answer:
5 pens
Step-by-step explanation:
1.85 divided by 5 is .37
3.12 divided by 8 is .39
so 1.85 is a better deal
Use the linear combination method to solve the system of equations. â€""3x 8y = 16 3x 4y = 8 What is the value of x? â€""1 0 1 2.
The value of x from the system of equation is 0
Given the systems of equation
–3x + 8y = 16
3x + 4y = 8
Using the elimination method.
Add both equations
-3x + 3x + 8y + 4y = 16 + 8
12y = 24
y = 24/12
y = 2
Substitute y = 2 into equation 2:
3x + 4y = 8
3x + 4(2) = 8
3x = 8 - 8
3x = 0
x = 0
Hence the value of x from the system of equation is 0.
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there are five bells which ring at interval of 4,5,12 and 15 minutes respectively at what minute those bells ring at the same time?
=====================================================
Explanation:
Let's find the LCM of 4 and 5, which are the first two items of the list.
multiples of 4 are: 4,8,12,16,20,24,...multiples of 5 are: 5,10,15,20,25,...The smallest item in each list is 20, so the LCM of 4 and 5 is 20.
We can replace the "4,5" in the list "4,5,12,15" with "20". So our new list would be "20,12,15".
We then repeat the process of finding the LCM of the first two items
multiples of 20 are: 20,40,60,80,...multiples of 12 are: 12,24,36,48,60,72,...LCM of 20 and 12 is 60.
The list "20,12,15" condenses to "60,15".
Repeat this process of finding the LCM once more and you'll find the overall LCM is 60.
Therefore, the LCM of the entire set {4,5,12,15} is 60. This is the smallest multiple shared by all four values. Interestingly enough, the outer values pair up to multiply to 60, and so do the inner values.
4*15 = 60
5*12 = 60
The bells ring together every 60 minutes
In other words, all of the bells ring together at the same time every hour (perhaps at the top of every hour; eg at 7:00 pm and at 8:00 pm, etc).
I have a system of equations I don’t remember how to do :|
I forgot how to solve this, and I forgot how to find the slope…
Answer:
x + y = 3 (infinite solutions)
Step-by-step explanation:
You observe that all of the numbers in the second equation are multiples of 3. When you divide the second equation by 3, it becomes identical to the first equation. The equations are said to be "dependent."
That means both equations graph as the same line, so will intersect at every point on the line. The system of equations has an infinite number of solutions.
_____
Additional comments
There are a number of ways to solve a system of equations. Two methods commonly taught are "substitution" and "elimination". Either one works here.
We can solve the first equation for y by subtracting x from both sides:
x +y -x = 3 -x
y = -x +3 . . . . . . simplify
In this form, the slope is the coefficient of x. Here, it is -1.
This expression for y can be substituted into the other equation:
3x +3(-x +3) = 9
3x -3x +9 = 9 . . . . . eliminate parentheses
9 = 9 . . . . . . . . . . . simplify
This is true for all values of x or y. There are an infinite number of solutions.
Answer:
There are infinite numbers of solution.
Step-by-step explanation:
Question :[tex]\begin{gathered}\begin{gathered}\begin{gathered}\small\begin{cases}\sf{x + y= \bf{3}} \\ \\ \sf{3x + 3y= \bf{9}}\end{cases} \end{gathered}\end{gathered}\end{gathered}[/tex]
Solution :Solving the question and finding the final answer.
Here,
x + y = 3 . . . (i)3x + 3y = 9 . . . (ii)━━━━━━━━━Now, from equation (i),
[tex]\twoheadrightarrow{\sf{x + y = 3}} [/tex]
[tex]\twoheadrightarrow{\sf{x = 3 - y}} [/tex]
━━━━━━━━━Now, putting the value of x in equation (ii)
[tex]\begin{gathered} \qquad{\longrightarrow{\sf{3x + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{3(3 - y) + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 3y + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{\underline{\underline{\red{9 = 9}}}}}}\end{gathered}[/tex]
This statement is true for all values of x and y.
So, there are infinite numbers of solution.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
-4x+ lly = 15
pls help me
x=2y
Answer:
y = 5
Step-by-step explanation:
-4(2y) +11y = 15
-8y + 11y = 15
3y = 15
y = 5
which expression is equal to 4 to the power of 5 times 4 to the power of -7 divided by 4 to the power of -2
Step-by-step explanation:
4⁵ × 4^-7 / 4^-2
it is important to understand that a negative exponent means 1/...
a^-n = 1/(a^n)
in that sense we have therefore
4⁵ × 1/4⁷ × 4² (as (1/ 1/a^n) = a^n)
4⁵ × 4² × 1/4⁷ = 4⁷ × 1/4⁷ = 1
so, "1" is the fully simplified expression equal to the original expression.
Select all values equal to the fraction below:
Lilly buys fresh fruit from a fruit stand. Apples cost $5 per pound and oranges cost $4 per pound. She has $40 to spend. The table shows the function relating the number of pounds of apples, x, and the number of pounds of oranges, y, Lilly could purchase.
Apples (lb) Peaches (lb)
x y
0 10
1 8.75
2 7.5
4 5
6 2.5
8 0
Answer:
Different ways to answer this question
Step-by-step explanation:
You can do a ratio of 1:4 apples and 1:5 oranges
What is the value of k?
Answer:
k = 10
Step-by-step explanation:
the sum of any two interior angles is equal to the exterior angle of the unknown interior angle
4k+5 + 6k+10 = 115
10k + 15 = 115
10k = 100
k = 10
what is 65% more of 140
65% more than 140 is 231
Please help me with this problem!
Answer:
57 degrees
Step-by-step explanation:
It is an isosceles triangle because QP has the same length as OP. So the base angles will be the same.
what is the solution
3x-1/4 = -5/11
(3x-1)11 = -5(4)
33x-11 = -20
+11 = +11
33x = - 9
33x/33 = -9/33
x = -3/11
Answer:
3x-1/4=-5/1111 (3x-1)=4 (5)33x-11=2033x=20+1133x=31x=31/33x=?Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27 weeks. After 8 weeks Chuy saved $440. Which of the following conclusions can you make about Chuy's plan? a. Chuy has a good plan and will have exactly $1,350 saved at the end of 27 weeks. b. Chuy must increase the amount he saves each week in order to meet his goal at the end of 27 weeks. c. Chuy will save more than he needs and will meet his goal in less than 27 weeks. d. There is not enough information given to make a conclusion about Chuy's plan. Please select the best answer from the choices provided A B C D
Answer: C: Chuy will save more than he needs and will meet his goal at the end of 27 weeks.
Step-by-step explanation: Divide the amount of money saved, $440, by the number of weeks, 8.
440/8 = $55.
This means $55 is the amount of money Chuy saves every week.
Multiply $55 by the number of weeks Chuy plans to save money, 27.
55 x 27 = 1,485.
Since the television costs $1,350 dollars, Chuy will save more than he needs and will meet his goal in less than 27 weeks.
Which of these is a correct statement regarding payday loans
Step-by-step explanation:
I think your question is not complete
resend it if you don't mind
They're easier to get than both mortgages and car loans
Which line plot (s) represents 2/4?
Answer:
Number 1= 5th vertical line
number 2= 2nd vertical line
number 3= halfway between 2nd and 3rd vertical line
Step-by-step explanation:
Plz help with this question.If can't do it don't answer.
Answer:
the total surface area of this triangular prism is 976cm2
Answer:
i think TSA = 976 cm²
Step-by-step explanation:
TSA = 2(1/2×14×24) + (14+25+25)×10
TSA = 2(7×24)+(64×10)
TSA = 336+640
TSA = 976 cm²
What is the equation for the line perpendicular to y=3/2x + 2 that contains (3, -5)?
Answer:
B?
COREEC IF WRONG
Answer:
y=-2/3x-3
Step-by-step explanation:
let the slope of the given line =m1
let the slope of the perpendicular line,=m2
m2=-1/m1
m2=-1/3/2
m2=-2/3
Now the equation of the perpendicular line
y--5=-2/3(x-3)
y+5=-2/3(x-3)
3y+15=-2x+6
3y=-2x+6-15
3y=-2x-9
y=-2/3x-3
The water level in a tank measures 15 inches and is decreasing 0.5 inches every
minute.
How many minutes, x, will it take for the water level to measure 9 inches deep?
Answer:
The answer is 12 minutes
Step-by-step explanation:
This is because if you're seeing how long it takes to get from 15 inches to 9 inches, that is a difference of 6 inches.
6 / 0.5 inches per minute = 12 minutes
The tank would take time of 12 minutes for the water level to measure 9 inches deep.
What is the two-step problem?A two-step problem is a word problem that must be addressed in two steps. While many of these questions have only one step, a two-step word problem requires the solution of two separate equations.
Two separate operations (like multiplication and addition) or two of the same operation may be utilized in the two-step word problem (like subtraction and subtraction).
Given a tank measurement of 15 inches, it shrinks by 0.5 inches per minute.
We must calculate the minute when the water level reaches 9 inches deep.
The difference in inches is 6 inches.
15 inches - 6 inches = 9 inches
Calculating for minutes,
⇒ 6 / 0.5
⇒ 12 minute
Therefore, the tank would take time of 12 minutes for the water level to measure 9 inches deep.
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#SPJ5
What is the value of x?
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
option d is correct[tex]\large\huge\green{\sf{Explanation:-}}[/tex]
The sum of all three angle of triangle is180°[tex](8x + 5) + (5x - 1) + (4x + 6) = 180 {}^{o} \\8x + 5 + 5x - 1 + 4x + 6 = 180 {}^{o} \\ 8x + 5x + 4x + 5 - 1 + 6 = 180 {}^{o} \\ 17x + 10 = 180 {}^{ {}^{o} } \\ 17x = 180 - 10 \\ 17x = 170 \\ x = \frac{170}{10} = 17 \\ x = 17[/tex]
Find the area of each figure
The graph of a line passes through the points (0, 8) and (4, 0). What is the equation of the line?
Answer: y = -2x + 8
Step-by-step explanation:
gradient = change in y/ change in x = 8/-4 = -2
y = -2x + c
substitute values in
8 = 0 + c
c = 8
y = -2x + 8
The graph of a line passes through the points (0, 8) and (4, 0), the equation of the line is y = -2x + 8
How to find the equation of a lineThe line is the distance between two points. The equation of a line in slope-intercept form is y = mx + b
m is the slopeb is the y-interceptFind the slopeSlope = -8/4
Slope = -2
Determine the y-intercept
Since the y-intercept is the point where the line cross the y-axis, hence b = 8.
FInd the required equation
y = -2x + 8
Hence if the graph of a line passes through the points (0, 8) and (4, 0), the equation of the line is y = -2x + 8
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read what on the image and it is so easy
F - 1.47
The largest box represents 100 small cubes or 1. The four pillars represent 10 and there is four of them so it is 40. Then, the individual cubes are 7. So, 1.47.
Graph the linear equation 3x - 4y = 12
Find the circumference of a circle with a radius of 11.15 cm
Answer:
390.377
Step-by-step explanation:
pi*r^2
In order to make a specific shade of green paint, a painter mixes 1/2
of a gallon of blue paint with 4/5
of a gallon of yellow paint.
How many gallons of each color are needed to make 26 total gallons of this color?
10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.
Let x represent the total amount of paint.
(1/2)x + (4/5)x = 26
1.3x = 26
x = 20
Therefore:
Amount of blue paint = (1/2)x = (1/2)*20 = 10 gallons
Amount of yellow paint = (4/5)x = (4/5)*20 = 16 gallons
10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.
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Question 3 of 5
764 =
O A. 16
OB. 4
O c. 2
O D. 8
Answer:
b. 4
Step-by-step explanation:
I hope this helps!!
2/7x9 in simplest form
Answer:
2/63
Step-by-step explanation:
I'm going to assume that the x is a multiplication symbol.
7 x 9 = 63
Therefore, the simplest form would be 2/63
PLS HELP ME I WILL GIVE BRAINLESS] Solve the problems. AA + 5 JoJo Seaweed walks at a constant rate d. able shows the relationship of feet to seconds. What is the constant of proportioiyality for the relationship of feet to minutes? Record your answer on the grd. Then fill in the bubbles. Feet 8 80 160 Seconds 2. 20 40 |
Answer:
I think that if u times it i will be 80 s and 320 f
Step-by-step explanation:
Determine the intercepts of the line.
Answer:
y-intercept: (0,5)
x-intercept: (5/2,0)
Step-by-step explanation:
[tex]-4x+7=2y-3[/tex]
[tex]-4(0)+7=2y-3[/tex]
[tex]0+7=2y-3[/tex]
[tex]7=2y-3[/tex]
[tex]10=2y[/tex]
[tex]5=y[/tex] <-- y-intercept: (0,5)
[tex]-4x+7=2y-3[/tex]
[tex]-4x+7=2(0)-3[/tex]
[tex]-4x+7=-3[/tex]
[tex]-4x=-10[/tex]
[tex]x=\frac{5}{2}[/tex] <-- x-intercept: (5/2,0)