How is table helpful when constructing equations?
Answers
Answer:
The numbers in a table are often the x and y values that are true for the line, which means the x and y values correspond to the coordinates of points on the line.
Given that a line equation is y=m x+b, the x and y values are numbers that can be used to arrive at the unknowns, such as the slope(m) and the y-intercept(b).
with the help of two points/coordinates we could find the slope of a line and the 3rd coordinate could be used to find the y-intercept.
Related Questions
Divide £10.00 into the ratio of 2:3
Is 2x + y = 10 linear ?
Use the figure below to complete the following problem.Given:H = 2x + 60T = x + 30HALT is a ∠A =304560
How many 2-inch segments are there in 12 ft.? a. 6 b. 24 c. 72 d. 10
Answers
Explanation:
The equation is 6x+8y=48. An x-intercept is the point where the data crosses the x-axis. All points on this line will have a y-coordinate of 0, so we replace y with 0 and solve:
6x+8(0)=48
6x=48.
Divide both sides by 6:
6x/6=48/6
x=8.
We go to 8 on the x-axis and plot the point.
A y-intercept is the point where the data crosses the y-axis. All points on this line will have an x-coordinate of 9, so we replace x with 0 and solve: 6(0)+8y=48
0+8y=48
8y=48.
Divide both sides by 8:
8y/8 = 48/8
y=6.
We go up to 6 on the y-axis and plot the point. We then draw a line through these two points.
Answer:
Refer the figure.
Step-by-step explanation:
Let x be the number of times Emma mows the lawn
and y be the number of hours Emma babysits
Emma earns $6 each time she mows the lawn and $8 per hour for babysitting i.e.
She is saving up to buy a new pair of jeans that cost $48.
i.e.
The y-intercept of the line is the point when x=0,
y-intercept is at (0,6)
The x-intercept of the line is the point when y=0,
x-intercept is at (8,0).
The shaded area is determined by putting x and y zero.
False so the region is away from origin.
The solution is the shade area above the solid line.
Refer the attached figure.
Answers
Answer:
To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.
Step-by-step explanation:
Proportions
The hybrid car can travel 40 miles per gallon.
Since one mile is equivalent to 1.6 Km, the distance traveled per gallon is 40*1.6 = 64 Km.
Now the distance is expressed in Km, we can find the gallons needed to travel 20 Km, by calculating 20/64 = 0.3125.
To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.
Answers
we put number 5 on right side of equation:
abx=5
then we divide both sides by ab to obtain x on left side:
Result:
x=
Answers
If 300 reduced by twice your age is equal to 192, your age (represented by x) would be 54 years old.
To solve the given equation "300 reduced by twice my age is 192," we can represent the equation using algebraic notation.
Let's assume "x" represents your age. The equation can be written as:
300 - 2x = 192
Now, let's solve for x:
300 - 192 = 2x
108 = 2x
54 = x
Therefore, if 300 reduced by twice your age is equal to 192, your age (represented by x) would be 54 years old.
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(4x3+2x+1)÷(x+1)
4x2−4x+6+5x+1
4x2+4x−6−5x+1
4x2−4x+6−5x+1
4x2+4x+6−5x+1
Answers
4x2+4x−6−5x+1 is the solution for (4x3+2x+1)÷(x+1)
What is Division?
A division is a process of splitting a specific amount into equal parts.
We need to solve,
(4x3+2x+1)÷(x+1)
We use Synthetic division, Synthetic division is a shorthand method for dividing a polynomial by a linear factor such as x + 3, and it's much simpler and faster.
Step 1: Set up the synthetic division.
Step 2: Bring down the leading coefficient to the bottom row.
Step 3: Multiply by the value just written on the bottom row.
Step 4: Add the column created in step 3.
We get 4x2+4x−6−5x+1.
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Answer:
Step-by-step explanation:
(4x^3+2x+1)÷(x+1)
Using synthetic division is
4x^2-4x+6- 5/x+1