Each line represents a proportional relationship. Write an equation for each line Show your work.
Answer:
4,3 and 1,4
Step-by-step explanation:
3(x+3)=7+3x+6-x Please help!
No solution, Many solutions, or One solution?
Need this answered by 3:35 September 4, 2020
Answer:x=4
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Combine like terms
Inverse operation
The function is given by the formula f(x)=3x+2.
a) Find f(7)
b) Find the value of x such that f(x)=15
Answer:
(a) f(7) = 23
(b) x = 13/3
Step-by-step explanation:
Step 1: Define
f(x) = 3x + 2
(a) f(7) is x = 7
(b) f(x) = 15
Step 2: Substitute and Evaluate
(a) f(7) = 3(7) + 2
f(7) = 21 + 2
f(7) = 23
(b) 15 = 3x + 2
13 = 3x
x = 13/3
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
To know more about functions and points:
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Yesterday, Miron finished all his tasks in 3/4 of an hour. Today, he finished them in 5/12 of an hour. How much faster was he today than yesterday?
Step-by-step explanation:
To determine how much faster Miron was today than yesterday, we need to calculate the difference between the times he took to finish his tasks on each day and express that difference as a fraction of the original time.
Yesterday, Miron finished his tasks in 3/4 of an hour, so he took:
1 - 3/4 = 1/4 of an hour to finish his tasks yesterday.
Today, he finished his tasks in 5/12 of an hour.
To calculate the difference in time, we need to subtract the time Miron took today from the time he took yesterday:
1/4 - 5/12
We need to find a common denominator to add the two fractions. The least common multiple of 4 and 12 is 12. So we will convert both fractions to have a denominator of 12.
1/4 = 3/12
5/12 = 5/12
Now we can subtract the two fractions:
3/12 - 5/12 = -2/12
The result is negative because Miron took less time today than yesterday. To express this as a positive fraction, we can take the absolute value of the difference:
|-2/12| = 2/12
This simplifies to:
2/12 = 1/6
Therefore, Miron was 1/6 faster today than yesterday.
Given that 1+5b+9c=1 , 4a+2b+3c=2, 7a+8b+6c=9
what is 741a + 825b + 639c?
Answer:
741a + 825b + 639c = 1375/9.
Step-by-step explanation:
To solve this problem, we need to first find the values of a, b, and c that satisfy the given system of equations. We can use any method of solving systems of linear equations, such as substitution or elimination. Here, we will use the elimination method:
Multiplying the first equation by -4 and adding it to the second equation, we get:
-20b - 36c = -2
Multiplying the first equation by -7 and adding it to the third equation, we get:
29b + 45c = 8
Multiplying the second equation by -29/20 and adding it to the third equation, we get:
-21b - 39c = 67/10
Now we have three equations in two variables. We can solve for b and c using any method, such as elimination or substitution. Here, we will use substitution:
From the second equation, we can solve for a in terms of b and c:
a = (2 - 2b - 3c)/4
Substituting this expression for a into the third equation, we get:
741/4 - 825/2 b + 639/6 c = 9
Simplifying and solving for b, we get:
b = (3/5) - (3/5) c
If this helps, please mark my answer as brainliest
Substituting this expression for b into the second equation, we get:
(27/5) c = (2/5)
Solving for c, we get:
c = -(2/27)
Substituting this value of c into the expression for b, we get:
b = (3/5) - (3/5) (-2/27) = (11/27)
Substituting the values of a, b, and c into the expression 741a + 825b + 639c, we get:
741a + 825b + 639c = 741[(2 - 2b - 3c)/4] + 825b + 639c
= 741[(2 - 2(11/27) - 3(-2/27))/4] + 825(11/27) + 639(-2/27)
= 741(5/27) + 275/3 - 426/9
= 1375/9
Therefore, 741a + 825b + 639c = 1375/9.
2 8/9 - 2/3 = 1 1/3. Correct any mistakes
Answer:
its 20/9
Step-by-step explanation:
2×9+8 /9=18+26/9
26/9-2/3=20/9
Answer:
2 2/9
Step-by-step explanation:
2/3= 6/9
2 8/9 = 26/9
26/9 - 6/9 = 20/9
20/9 simplified = 2 2/9
Can someone help me on this it is so confusing to me. Will give Brainliest!
Answer:
Step-by-step explanation:
Janet uses less than 4 cups of flour because 3/8 is less than one.
based on the information in the scatter plot, which statement is true?
Answer:
B
Step-by-step explanation:
Please Help ASAP! Rewrite x^4y^2 − 3x^3y^3 using a common factor.
A. 3xy(x^3y − x^2y)
B. 3xy^2(x^2 − x^2y)
C. x^2y(xy − 3xy^2)
D. x^2y^2(x^2 − 3xy)
I think it's B. But I might be wrong.
NEED HELP ASAP WILL GIVE BRAINLIEST!!! PICTURE BELOW
Which inequalities would have an open circle when graphed? Check all that apply.
t Less-than-or-equal-to 25
-2.5 Less-than-or-equal-to m
x > 5.4
One-half less-than x
x > 0
An open circle is used to graph strict inequalities, which means the inequality does not include the value at the boundary. The inequalities that would have an open circle when graphed are:
x > 5.4
One-half less-than x
x > 0
what is the simple intrest on a loan of $3,500 at 3.5% over 5 years?
Marky goes to the store and buys 5 cans of soup for $14. How many cans of soup can Marky buy with $30? EXPLAIN HOW TO SOLVE
Answer:
$30=10.7
Step-by-step explanation:
all i can say is that i used my calculator and its prob correct
The dot plots below show the runs scored in each of the first games of the season by the Hawks and the Eagles. Runs Scored (Ha Runs Scored Part A What is the mean number of runs for the Hawks? Answer _ Part B Add two points to the dot plot for the Hawks that show possible runs scored in the next two games if the mean number of runs decreases and the range increases. Part CAdd two points to the dot plot for the Eagles that show possible runs scored in the next two games if the mean number of runs stays the same.
Answer:
Part B: 8 and 2 (more answers ofc)
Part C: Two more dots on 6 (more than one answer tho)
Step-by-step explanation:
Part B:
The added number of dots is 39 at the beginning and the mean is 3.9. (39/10). Since we have to add 2 dots the equation will be (39 + ? + ?) / 12 = Less than 3.9. We also need the range to increase. This means that one of the blanks must be larger than 7 (the largest dot on the dot plot!) I just went with 8 to keep the mean as small as possible. This leaves 1 more blank to figure out. There are multiple answers to this problem but I went with 2 just because then the mean would be 3.5 a better answer than something like 3.58333333333.
Part C:
If you think about it all the dots added up should be 6x12 = 72. Currently all the dots add up to 60. 72-60 is 12. This means that 12 is equal to 2 dots. I guess you could also do 5 and 7, 8 and 4, etc.
G'day
-birb
A teacher needs to buy yarn for her students to make a craft in
class. If each student needs 1 1/4 feet of yarn, how many feet of yarn
should the teacher buy for the following 5 students?
Answer:55/4 or 13 3/4
Step-by-step explanation: 11/4 *5
Simplify the expression
1. six fifths
2. 5
3. negative six fifths
4. −5
Answer: the answer is 5 because -3x-5=15 and 15/3 = 5
Step-by-step explanation:
Answer: 5
Step-by-step explanation: -3x-5=15 and 15/3 = 5
Mary is installing carpet in a closet for a customer. A floor plan of the closet is shown. Mary charges $5.60 per square foot of carpet, plus a $150 installation fee.
Select the correct number from each drop-down menu to correctly complete a simplified expression for the following:
-6x - 9 - 3(3 - 2x)
(Choose...-12,0,12) x + (Choose...-18,0,18)
please help!!!!!!!!! THIS WILL BOOST MY GRADE
Answer: B.
Step-by-step explanation:
Hello!
If you drop a coin, it will either display one side of it or the second side of it.
This means it is a 50-50% chance to display the first or second side.
So, you have a 50% to get one side, but how about 2 coins?
Every coin will have a 50% chance, which means 1/2.
1/2 = 0.5
Multiply 0.5, by 0.5 because they are two coins. If were 4 coins, you would've got 0.5 to the power of 4 (4 coins).
0.5 * 0.5 = 0.25
0.25 = 0.25 / 1
Multiply this number by 100, to get the actual percentage.
25 / 100
Now, divide the fraction by 25, to get ireductible.
The answer is 1/4 , B.
Answer is:
B or 1/4
Good luck
Pls help me with these problems
1. Find the volume of a cone that has a radius of 6cm and a height of height cm. Leave your answer in terms of π (pi).
2. A gift box in the shape of a rectangular prism has a length of 4in, a width of 2in, and a height of 3in. How much would it cost to cover the box if the wrapping paper costs $0.85 per square inch?
3. Find the circumference and area of a circle that has a 5m radius.
4. A tractor tire is 7ft in diameter. How many revolutions will it make traveling 1 mile? (5280 ft = 1 mi)
Step-by-step explanation:
I is right answer of this question
Answer:
The volume of the cone is 108π(pi). if the height is 9
Step-by-step explanation:
V = πr2h / 3 (formula for finding the volume)
V = π62(9) / 3
V = 324π / 3
V = 108π
You can change the value of height if its different for you
Which of the following expressions belong in the area model representing 714 divided by 42?
The answer is C 420-420 or where every you see 420-420.
Answer: C
Step-by-step explanation:
30 POINTS! ANSWER THE QUESTION SHOWN IN THE IMAGE WITH CLEAR ANSWER
Describe how you would graph a figure that is translated by (x - 4, y + 2
Answer:
See the photo to see where its graphed
Step-by-step explanation:
Can someone answer please?
Answer:Add a clearer picture
Step-by-step explanation:
I can see a bit of the answer and words but I would go for the 2 answer I feel like it’s the best one.
The person that is the most kind gets a brainiest award
P.S: evaluate this function: f(x) = 3x^2+5x+6
Explanation:
This is unable to be evaluated due to the function not being stated. X has to be a number for us to be able to solve the equation and for It to be evaluated. 3x to the second power is gonna stay that since there isn't another power integer on 5x and 6 is staying like that since there is nothing for it to be added or subtracted to.
So the answer is simply:
3x^2+5x+6
if I get 30 dollars per week (7 days) how many weeks will it take to get to 600 hundred dollars
Answer:
30*20=600
Step-by-step explanation:
The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers? Which three expressions could be used to represent the numbers?
A n; n - 4; 4n
B n; 4 - n; n + 4
C n; n/4; n + 4
Answer:
38
Step-by-step explanation:
38 because
To avoid a storm, a passenger-jet pilot descended 0.38 mile in 0.4 minute. What was the plane's average change of altitude per minute?
Answer:
0.55 mile / minute
Step-by-step explanation:
The average change of altitude per minute would simply be the ratio of distance descended over time. That is:
average change of altitude = distance / time
average change of altitude = 0.44 mile / 0.8 minutes
average change of altitude = 0.55 mile / minute