Simple.....
always remember the y-intercept is where your line hits the y-axis... or where it hits the vertical axis...
As we can see this line hits the y-axis at (0,3)-->> y-intercept=3
Thus, your answer.
Use the slope formula and slope-intercept form Y=Mx+b to find the equation.
Y=2x + 14
Answer:
The car uses less gas
They use the same amount of gas after
miles
Step-by-step explanation:
Given
The table represents the car mileage
--- The van
First, calculate the car's slope (m)

From the table, we have:

So, we have:



Calculate the equation using:



implies that for every mile traveled, the car uses 1/40 gallon of gas
Also:
--- The van
By comparison to: 

This implies that for every mile traveled, the van uses 1/5 gallon of gas.
By comparison:

This means that the car uses less gas
Solving (b): Distance traveled for them to use the same amount of gas.
We have:
--- The van
--- The car
Equate both

Collect like terms


Take LCM


Solve for -7x

Solve for x

Answer:
and ![[6,9,8,7]](https://tex.z-dn.net/?f=%5B6%2C9%2C8%2C7%5D)
Step-by-step explanation:
GIVEN: an array of ten integers
.
TO FIND: If we partition this array using Quick sort's partition function and using
for the pivot. List the elements of the resulting array after the partition finishes.
SOLUTION:
quick sort is a divide and conquer algorithm in which an array is partitioned into sub-arrays about an pivot element by checking whether elements are greater than pivot or and then sub arrays are sorted recursively.
Here
is the pivot element.
two arrays will be created, in first array element less than or equal to pivot element are stored in other elements greater than pivot element are stored.
Starting from first element of array
elements in first array will be ![=[4,0,3,1,2,5]](https://tex.z-dn.net/?f=%3D%5B4%2C0%2C3%2C1%2C2%2C5%5D)
elements in second array will be ![=[6,9,8,7]](https://tex.z-dn.net/?f=%3D%5B6%2C9%2C8%2C7%5D)
Hence the resulting array after the partition finishes are
and ![[6,9,8,7]](https://tex.z-dn.net/?f=%5B6%2C9%2C8%2C7%5D)
Answer:
A) -84x^3 - 8x
B) -91x^4 + 143x^2 - 65x
C) 12b^2 - 7b - 10.
D) 16x^2 - 72x + 81
Step-by-step explanation:
A) -4x(21x^2-3x+2)
B) -13x(7x^3-11x+5)
C) (3b+2)(4b-5)
D) (4x-9)^2
In A) -4x(21x^2-3x+2) we are multiplying the binomial (21x^2-3x+2) by the monomial -4x; there are two multiplications involved:
-4x(21x^2) = -84x^3
and
-4x(-3x+2) = +12x^2 - 8x.
Hence A) -4x(21x^2-3x+2) = -84x^3 - 8x
B) The work done to find the product in B) is similar: Multiply each term in 7x^3-11x+5 by -13x:
The end result is -91x^4 + 143x^2 - 65x
C) Here we are multiplying together two binomials; we use the FOIL method: Multiply together the First terms, then the Outer terms, then the Inner terms, and finally the Last terms. This results in:
(3b+2)(4b-5) = 12b^2 -15b + 8b -10, or, after simplification, 12b^2 - 7b - 10.
In D) we are squaring a binomial. The formula for this is:
(a - b)^2 = a^2 - 2ab + b^2. Here,
(4x - 9)^2 = 16x^2 - 2(36x) + 81, or 16x^2 - 72x + 81