Answer:
The slope of the given two points is 
Step-by-step explanation:
Given two points are (-5,2) and (3,9)
To find the slope with these two points
Let
and
be the given points
By using Slope Formula:


( subtracting and adding the corresponding terms)

Therefore slope is 
The slope of the given two points is 
Answer:
x = -5, 1
Step-by-step explanation:
To factor an equation, break the polynomial into two binomials which multiply to make it. Find two numbers that multiply to C and add to B from
.
-1 and 5 multiply to -5 and add to 4.

The zeros are the factors set equal to 0 and solved.
(x+5) = 0
x=-5
(x-1) = 0
x=1
Okay, so I'm gonna do this in terms of x and y, because that's what I'm used to.
s= x = 4-person tables
a= y = 6-person tables
x + y = 25
~ You use 25 tables so no matter how many of each kind are there, you end up with 25 tables so it should add up to 25.
4x + 6y = 116
~ You know that there will always be a total of 116 people at the tables. And in this case 4 and 6 are the number of people that can be seated at these tables, so in terms of people, you would say 4x and 6y.
To find out the amount of six people tables, solve for y and that's your answer.
You could do this a variety of ways.
One way is the substitution, for that you would rearrange the first equation for y, then plug in that value for y in the second equation and then solve for y. That value you get is your answer.
Answer:
see explanation
Step-by-step explanation:
(1)
Given
= - 0.3
Since n is divided by 5 then use the inverse operation, multiplication.
Multiply both sides by 5 to clear the fraction
n = 5 × - 0.3 = - 1.5
(2)
Given
- 2n = 4
← change to an improper fraction
- 2n = 
Since n is multiplied by - 2 then use the inverse operation, division.
Divide both sides by - 2
n =
= - 
Let the number of collectible dolls she can buy be x.
x ≤ 45/2.5
x ≤ 18
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Answer:She can buy at most 18 dolls.
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