Answer:
There are 8 people on the train.
Step-by-step explanation:
20 - 15 = 5
5 + 3 = 8
<span>So we want to know how much does the pencil costs if the ruler costs 1$ more than the pencil and together they cost 1.5$. So lets start with converting dollars into cents. Lets turn this into an equation. Ruler is x and the pencil is y. So together ruler and pencil cost 150cents or: x+y=150 cents. The ruler costs 100 cents more than the pencil, or: (x+100 cents ) + y = 150 cents. So we see that we need to put the values of x=25 cents and y=25 cents to get the ruler to cost 125 cents which is 100 cents or 1$ more than the pencil. So the pencil costs 25 cents. </span>
Answer:
- (x -1)(x +6)
- (x -5)(x +3)
- (x -4)(x -3)
Step-by-step explanation:
In each case, you're looking for divisors of the constant that have a sum equal to the x-coefficient. Those divisors are the constants in the binomial factors.
1) -6 = -1·6 = -2·3 . . . . . (-1)+(6) = 5, so these are the constants of interest.
x^2 +5x -6 = (x -1)(x +6)
__
2) -15 = -1·15 = -3·5 = -5·3 . . . . . (-5)+(3) = -2, so these are the constants of interest
x^2 -2x -15 = (x -5)(x +3)
__
3) 12 = -1·-12 = -2·-6 = -3·-4 . . . . . (-3) +(-4) = -7, so these are the constants of interest
x^2 -7x +12 = (x -3)(x -4)
Find the image of the point (−2,−7) under ,so it’s (12,-1)
Answer:
Slope: 2
Step-by-step explanation:
The slope of a line is when x increases by an amount, y increases by an amount. We can find the slope of a linear graph by taking 2 points. I will use (0,3) and (-1,1)
We see that the y-values are 4 from each other, and that the x-values are 2 from each other.
Now, we can use a method called rise over run, which is y-value/x-value.
Therefore, the slope is 2.
