7, 17,27,37,47,57,67,70,71,72,73,74,75,76,77(27’s in this one),78,79,87,97
20 7’s in 1-100
Answer:
a = -2
b = 1
c = 5
Step-by-step explanation:
Given:
2a + 4b + c = 5 ............(1)
a - 4b = - 6
or
a = 4b - 6 .............(2)
2b + c = 7
or
c = 7 - 2b ...........(3)
substituting 2 and 3 in 1, we get
2(4b - 6 ) + 4b + (7 - 2b) = 5
or
8b - 12 + 4b + 7 - 2b = 5
or
10b - 5 = 5
or
b = 1
substituting b in 2, we get
a = 4(1) - 6
or
a = -2
substituting b in 3, we get
c = 7 - 2(1)
or
c = 5
thus,
a = -2
b = 1
c = 5
Answer:
18
Step-by-step explanation:
Since f '(x) ≥ 3, that means for every x, it can increase by 3 or greater. If we want to find the smallest f(5), we have to use the smallest rate of change possible, which is just 3.
Then, we have to find how many times x changes. Since we are going from 3 to 5, that means x changes 2 times. (5 - 3 = 2)
Now we multiply the rate of change (3) by the number of x changes.
3 x 2 = 6
We then add that to 12 since that is the number we started with
12 + 6 = 18
Answer:
see the explanation
Step-by-step explanation:
Let
x ----> the price of the shirt
y ---> he price of the pants
we have that
The price of three shirts plus the price of two paints must be equal to $300
so
This is the equation of the line in standard form
Convert to slope intercept form
Isolate the variable y
subtract 3x both sides
Divide by 2 both sides
----> equation of the line in slope intercept form
Find out the x-intercept
Remember that the <u><em>x-intercept </em></u>is the value of x when the value of y is equal to zero
In this problem, the x-intercept is the price of the shirt when the price of the paints is equal to zero
Using the Standard Form, identify the x-intercept of the graph
The standard form is
The x-intercept is C/A
we have
so
The x-intercept is the point (100,0)
That means---> The price of the shirt is $100 when the price of the paints is equal to $0
Alternative method to find out the x-intercept (equation in slope intercept form)
For y=0
solve for x
The x-intercept is the point (100,0)
Answer:
5x-20
Step-by-step explanation:
since it says "product of 5 and x" we know that 5 and x is being multiplied
5x
since it says 20 less than we know that we need to subtract 20 from 5x
5x-20