This shows a linear function.
x y
0 15
1 25
2 35
3 45
4 55
Which equation represents the table?
A.
y = 10x + 15
B.
y = 15x + 10
C.
y = 10x
D.
y = 15x
Answers
Answer:
Option A: y = 10x + 15Step-by-step explanation:
Let's find the equation in the form of y=mx+b that fits the data. m is the slope and b is the y-intercept (the value of y when x=0). Slope, m, the the Rise/Run of the line. It can be found by taking any two points from the table. Let's choose (0,15) and (2,35), although any two will work.
x y
0 15
1 25
2 35
3 45
4 55
(0,15) (2,35)
The Rise is the change in y: (35 - 15) = 20.
The Run is the change in x for the same points: (2 - 0) = 2
The slope is the Rise/Run = (20/2) or 10.
The equation has the form y = 10x + b.
Let's find b. Just enter any of the points in the above equation and solve for b. I'll choose (3,45).
y = 10x + b
45 = 10*(3) + b
b = 45 - 30
b = 15
[Note: since b is the value of y when x equals zero, we really didn't need to calculate b as we just did. There is a data point already that tells us the value of y when x = 0: (0,15)]
The equation is y = 10x + 15Option A: y = 10x + 15Related Questions
Richard buys a car for £13 500
He sells the car for £9 500
Work out Richard's percentage loss.
Give your answer correct to three significant figures.
Answers
Answer: Richard had a percentage loss of 29.6%
Step-by-step explanation:
These are the steps to find out percentage loss=
1.) Find the difference between the two numbers being compared.
2.) Divide the difference by the original number then, multiply the answer by 100 to get percentage.
3.) Basically: percentage decrease (loss) = difference ÷ original number x 100
Step 1 =
We subtract £9500 from £13500
£13 500 - £9 500 = £4000
Step 2:
We divide the difference (answer from step 1) by the original amount.
£4000 ÷ £13 500 = 0.296296.....
Now we multiply it by 100
0.296296 x 100 = 29.629629.....%
Step 3:
We round it to 3 significant figures.
29.629629... to 3 significant figures is 29.6
So the answer is 29.6%
Consider making my answer the brainliest!Post this question on jiskha
yeah post this question on jiskha (type done when you actually did it)
at first james had an equal number of red and blue stickers. he gave away 2/3 of his red stickers and some blue stickers. in the end, he was left with 1/4 of his stickers. what fraction of his blue stickers did james give away?
how many red stickers did james have if he had given 125 blue stickers away?
Answers
James gave away 3/4 of his blue stickers if he was left with 1/4 of his stickers in the end.
Let's assume James initially had x red stickers and x blue stickers. Since he had an equal number of red and blue stickers, we can say that the total number of stickers James had was 2x.
James gave away 2/3 of his red stickers, which means he kept 1/3 of his red stickers. Therefore, the number of red stickers he had left after giving away 2/3 of them is (1/3) * x.
We are told that in the end, James was left with 1/4 of his stickers. This means that (1/4) * 2x stickers remained. Since James gave away some blue stickers, let's say he gave away y blue stickers.
So, the equation becomes:
(1/4) * 2x = (1/3) * x + y
We are also given that James gave away 125 blue stickers, which means y = 125. Substituting this value into the equation, we can solve for x:
(1/4) * 2x = (1/3) * x + 125
Simplifying the equation:
x/2 = x/3 + 125
Multiplying both sides of the equation by 6 to eliminate the denominators:
3x = 2x + 750
Subtracting 2x from both sides:
x = 750
Therefore, James initially had 750 red stickers, and since he had an equal number of red and blue stickers, he also had 750 blue stickers.
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Emma spent $17.98 on 2 dozen bagels. which equation models the situation with d, the price in dollars, of one dozen bagels? a. 17.98d = 2 b. 17.98 + d = 2 c. 2d = 17.98 d. 2 + d = 17.98
Answers
The equation that models the situation with d, the price in dollars, of one dozen bagels is given by option C. `2d = 17.98`.
Emma spent $17.98 on 2 dozen bagels. The equation that models the situation with d, the price in dollars, of one dozen bagels is given by option C. `2d = 17.98`.What are dozen bagels?A dozen bagels are 12 bagels. If Emma bought 2 dozen bagels, it means she bought 24 bagels. If you want to know the cost of one bagel, you can divide the total cost by the number of bagels she bought. So the cost of one bagel can be given by the equation;`Total cost of bagels / number of bagels bought = cost per bagel`Let us now use the given options to see which one of them represents the above equation.A. 17.98d = 2Here, we have the total cost multiplied by the cost per bagel which doesn't make sense.B. 17.98 + d = 2We can see that this equation does not have any terms to represent the number of bagels bought, it only has the total cost and the cost per dozen bagels.D. 2 + d = 17.98We can see that this equation does not have any terms to represent the total cost or the number of bagels bought. Hence it cannot represent the given situation.C. 2d = 17.98Here, we have the number of bagels multiplied by the cost per bagel to give us the total cost, which is what we need. Therefore the equation that models the situation with d, the price in dollars, of one dozen bagels is given by option C. `2d = 17.98`.
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a car travels a distance of of 540 km in 6 hours what's his speed
Answers
Answer:
90 km per hour
Step-by-step explanation:
divide total distance by number of hours traveled :)
Hi I need to know with equation is a one solution , no solution anf a infinite solution
Answers
The equation of a line in Slope-Intercept form is:
\(y=mx+b\)Where "m" is the slope and "b" is the y-intercept.
Let's write each equation given in the exercise as a System of equations and then let's write each equation in Slope-Intercept form. Then:
Equation 1 as a System of equations
\(\begin{cases}y=2(x-1)+6\Rightarrow y=2x-2+6\Rightarrow y=2x+4 \\ y=4x-22\end{cases}\)You can identify that the slope and the y-intercept of the first equation are:
\(\begin{gathered} m_1=2_{} \\ b_1=4 \end{gathered}\)And the slope and the y-intercept of the second equation are:
\(\begin{gathered} m_2=4 \\ b_2=-22 \end{gathered}\)Since:
\(\begin{gathered} m_1\ne m_2 \\ b_1\ne b_2 \end{gathered}\)The lines intersect each other and the System of equations has one solution.
Equation 2 as a System of equations
\(\begin{cases}y=6(2x+1)-2\Rightarrow y=12x+6-2\Rightarrow y=12x+4 \\ y=12x+4\end{cases}\)You can see that:
\(\begin{gathered} m_1=m_2 \\ b_1=b_2 \end{gathered}\)Therefore, since they are the same line, the system has infinite solutions.
Equation 3 as a System of equations
\(\begin{cases}y=2(4-x)\Rightarrow y=-2x+8 \\ y=-2(1+x)-2\Rightarrow y=-2-2x-2\Rightarrow y=-2x-4\end{cases}\)Since:
\(\begin{gathered} m_1=m_2 \\ b_1\ne b_2 \end{gathered}\)You can determine that the lines are parallel. Therefore, the System of equations has no solution.
The anwer is:
- The first equation has one solution.
- The second equation has infinite solutions.
- The third equation has no solution.
How many different 9-letter strings can be made by rearranging the characters in the word "WISCONSIN"? 96 O9!/8 O C(9,6) 9!
Answers
9!
---------------
2! x 2! x 2!
How do I calculate the capacity of a cylinder if it can be filled at a rate of 1500L per hour, when I have already found out it’s volume?
Answers
If JKLM is a trapezoid, which statement must be true?
Answers
Answer:just answered
Step-by-step explanation:
The statements that are true about the given trapezoid are:
A. KL is parallel to JM
B. ∠J is supplementary to ∠K.
What is a Trapezoid?A trapezoid is a four-side polygon whose bases are parallel to each other. So also, the adjacent angles of a trapezoid have a sum of 180 degrees.
Based on these properties of a trapezium, the statement that must be true for the given trapezoid are:
A. KL is parallel to JM (bases of a trapezoid)
B. ∠J is supplementary to ∠K. (adjacent angles in a trapezoid)
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Y=1/5x+14 when b=7? how do i solve this?
Answers
Answer:
Step-by-step explanation:
Y = 1/5 x + 14 where b = 7
Result:
x + 70 = 5 Y
Geometric figure:
line
Alternate forms:
x = 5 Y - 70
x - 5 Y + 70 = 0
Real solution:
Y = x/5 + 14
Solution:
Y = x/5 + 14
Integer solution:
x = 5 n, Y = n + 14, n element Z
Solution for the variable x:
What is the quotient of 3.55 x 106 and 7.1 x 102 expressed in scientific notation?
PLEASE HELP THIS IS FOR A TEST
Answers
Answer:
\(5\times10^3\)
Step-by-step explanation:
\(3.55\times10^6 \div 7.1 \times 10^2\)
Exponents are positive:
\(3.5.5.0.0.0.0. = 3550000\)
\(7.1.0.=710\)
\(3550000 \div 710 = 5000\)
Convert back into scientific notation:
\(5000 = 5 \times 10^3\)
\(= 5 \times10^3\)
Hope this helps.
Answer: 5 x 10^3
Step-by-step explanation:
Identify the variable in the following situation. Mr. Gopal goes to the store and has 25 dollars. He has to buy some candy bars for 10 dollars total. How water bottles can he buy with his remaining money if each water bottle costs 5 dollars
Answers
Answer:
3 water bottles
Step-by-step explanation:
25-10=15
15/5=3
WHat is the answer to number 2
Answers
Answer:
My best guess C im pretty sure.
Write the equation of the line in standard form that passes through (-1, 3) and (2, 9). }
Answers
Answer:
y = 2x + 5
Step-by-step explanation:
(-1 , 3) & (2 , 9)
x₁ = -1 ; y₁ = 3 & x₂ = 2 ; y₂ = 9
\(slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{9-3}{2-[-1]}\\\\=\dfrac{6}{2+1}\\\\=\dfrac{6}{3}\\\\= 2\)
m = 2 & (-1 , 3)
Equation of line:
y - y₁ = m(x - x₁)
y - 3 = 2(x - [-1])
y -3 = 2(x + 1)
y - 3 =2x +2
y = 2x + 2 + 3
y = 2x + 5
PLEASE HELP AS SOON AS POSSIBLE
Determine which set of side measurements could be used to form a right triangle.
17, 6, 20
10, 15, 13
5, 12, 13
9, 3, 11
Answers
The set of side measurements that could be used to form a right triangle is 5, 12, 13
How to determine which set of side measurements could be used to form a right triangle?A right triangle is a triangle in which one angle is 90° (right angle). That is two sides are perpendicular.
For a triangle to be a right triangle, Pythagoras' theorem must be applicable to sides i.e square hypotenuse = square of adjacent + square of opposite
For 17, 6, 20:
√(6² + 17²) = 18.03
This is not a right triangle
For 10, 15, 13:
√(10² + 15²) = 18.03
This is not a right triangle
For 5, 12, 13:
√(5² + 12²) = 13
This is a right triangle
For 9, 3, 11:
√(9² + 3²) = 9.49
This is not a right triangle
Therefore, the set of side measurements 5, 12, 13 could be used to form a right triangle.
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What is the constant of proportionality in the table below?
x 5 10 6 9 2
y 15 30 18 27 6
1/3
5
3
15
Answers
Answer:
1/3
Step-by-step explanation:
constant proportionality = x/y
x1/y1 , x2/y2 , x3/y3 , ....
5/15 , 10/30 , 6/18 , 9/27 , 2/6
= 1/3 , 1/3 , 1/3 , 1/3 , 1/3
since in all the cases x/y = 1/3 ,
Therefore, the contant proportionality in the given table is 1/3
Hope it's helpful..
2. Karina would like to go with Rhia to Michigan, but by the time she purchased her ticket, she
realized she will need to earn $1,593 to pay for the trip herself. Karina babysits and earns $15
per hour. How many hours will Karina need to babysit in order to earn all of the money she
needs for the trip to Michigan?
Answers
The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -2/3x + 6. What is the poin
slope form of the equation for this line?
Answers
Answer:
Step-by-step explanation:
y - 8 = -2/3(x + 3)
the solution is the 4th option
FILL IN THE BLANK. to determine the proportion of each color of Peanut Butter M&Ms, you buy 10 1.69 ounce packages and count how many there are of each color. This is an example of ______
Answers
This is an example of a sample survey or a sampling method.
What is sampling method?Sampling techniques in a statistical study refer to how participants are chosen from the population to participate in the study. If a sample isn't chosen at random, it will likely be skewed in some way, and the results might not be generalizable.
In the given scenario, you are conducting a sample survey to determine the proportion of each color of Peanut Butter M&Ms. A sample survey is a method used to collect data from a subset of a larger population in order to make inferences about the entire population.
Instead of counting every single Peanut Butter M&M in existence, which would be impractical and time-consuming, you decide to take a smaller representative sample. You purchase 10 packages of Peanut Butter M&Ms, each weighing 1.69 ounces, and count the number of M&Ms of each color in those packages.
By analyzing the data collected from this sample, you can estimate the proportion of each color of Peanut Butter M&Ms in the larger population. This approach is more feasible and provides a reasonable approximation of the overall distribution of colors without having to examine every individual item.
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which property is demonstrated in the equation 7*(8*9)=(7*8)*9
Answers
Explanation:
Associative properties for multiplication is stated as follows:
(a * b) * c =
On april 8th, a flower at blooming acres florist was 15. 0 centimeters tall. On april 16th, the flower was 17. 4 centimeters tall. If the flower grew at a constant rate, on what day was the flower 16. 5 centimeters tall?.
Answers
We need to know about rate of change to solve the problem. The flower was 16.5 cm tall on 13th April.
Rate of change is the rate at which a quantity changes over time, the rate of change might be increasing or decreasing. We know that the flower was 15 cm tall on 8th April and it grew to become 17.4 cm tall on 16th April, we can find the rate of growth of flower from this information. We need to use the rate of change to find out in how many days the flower will be 16.5 cm tall.
rate of growth= 17.4-15/16-8=0.3 cm
number of days to grow by 1.5 cm =1.5/0.3=5
Therefore the flower becomes 16.5 cm tall on 13th April.
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#
f(x) = x
f(x) = 3
5
6
f(x)=3-x
f(x) = 1
Domain
3
0
x=2
2
f(x) = 2
Function Equation
f(x) = 5-x
Answers
f(x) = x is a simple linear function with a slope of 1, f(x) = 3 5 6 is a constant function, f(x) = 3-x is a linear function with a negative slope of -1, f(x) = 1 is a constant function, f(x) = 2 is a constant function
What is a constant function?A constant function is a mathematical function whose output value is the same for every input value
From the given parameters, f(x) = x is a simple linear function with a slope of 1, this implies that for every unit increase in x, the value of y increases by 1.
Also, f(x) = 3 5 6 is a constant function, where the value of y is always 3 5 6, regardless of the value of x.
In the same way, f(x) = 3-x is a linear function with a negative slope of -1, which means that for every unit increase in x, the value of y decreases by 1. The fourth function f(x) = 1 is a constant function, where the value of y is always 1, regardless of the value of x.
The domain of the fifth function is 3 0, which means that x can take any value between 3 and 0.
The sixth function f(x) = 2 is a constant function, where the value of y is always 2, regardless of the value of x.
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Peter has a 25 acre field. He 20.5 acres with sweet corn. What fraction of his field does Peter
plant with sweet comm
Answers
Answer:
62 percent of the feild
Step-by-step explanation: to lazy to explain figure it out its simple
Use the function below to find F(-4).
F(x) = 2x
A. -16
B. 1/8
C. -8
D. 1/16
(ITS NOT -8)
Answers
What is
(0,4)
reflected
over the line
y=x?
Answers
The reflected over the line is = (4,0)
What is equations?There are many different ways to define an equation.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.A linear equation may have more than one variable. A linear equation is an equation in which the highest power of the variable is always 1.This is a second-order equation. In quadratic equations, at least one of the variables should be raised to exponent 2.hence, as y=x by taking the symmetry= (4,0)
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STOP GIVING ME RANDOM ANSWERS IF U DONT KNOW IT THEN DONT ANSWER IT I'LL REPORT YALL IF U DO
Answers
I'm so sorry that I can't give you the answer because I'm not in your grade! But if u need me for other stuff.. I'm here! so ya!
Evaluate the series 1 + 2 + 4 + 8 to S10.
Answers
The series to 10 term is
1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512
What is recurrent relation?An equation that represents a sequence based on a rule is called a recurrence relation.
Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.
The term is predicted by multiplying the preceding term by 2
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PLEASE HELP ME !
(2,7); 3x-y =5
show all steps !
Answers
Answer:
i dont think you've got the right (x,y) pair....
Step-by-step explanation:
3x - y = 5
3(2) - 7 = 5
6 - 7 = 5
those are not the correct coordinates for the equation
Maria wants to huy some coffe mugs and plastic plates. The total cost of five coffe mugs and four plastic olayed is $28 and tge total cost of two coffe mugs and two plastic olates is $12 Write a system of equations and ise it to determine the cost of one coffe mug
Answers
Answer:
$4
Step-by-step explanation:
5c + 4p=28 equation 1
2c + 2p=12 equation 2
-2(2c +2p)=-2(12) multiply equation 2 by -2 so you can solve by elimination.
-4c-4p=-24 equation 2 multiplied by -2
5c+4p=28. Equation 1
c=4 added above 2 equations
solve for plates:
2c + 2p=12
2(4)+ 2p=12
8+2p=12
2p=4
p=2
check answer:
5c+4p=28. Equation 1
5(4)+4(2)=28
20+8=28
28=28
2.
Find the slope of the line.
A. 0
B. -2
C. Undefined
D. 2
Answers
Answer:
A. 0
Step-by-step explanation:
2-2/4-(-5)=0/9
Answer:
Answer: Undefined
Step-by-step explanation:
Its undefined because the line is vertical. This is also why the answer isnt zero.
Hope this helps (:
how can i find the X-coordinate of the suluction to the system or equation ?
Answers
Solution:
The solution to the system of an equation using the graphical method is the point on the graph where the two lines intersect
From the image below, the point of intersection of the two lines is at
\((x,y)\Rightarrow(-2,2)\)Hence,
The x-coordinate of the solution to the system of equation is
\(\Rightarrow-2\)