We have two points:
(-3,5) and (2,-3)
I
An equation in oint-slope form has this shape:
y-y₀=m(x-x₀)
m=slope
1) we compute the slope (m) between two points:
Given two points (x₁,y₁) and (x₂,y₂) the slope between these pointw will be.
m=(y₂-y₁)/(x₂-x₁)
In this case, our slope would be:
m=(-3-5)/(2+3)=-8/5
2) we choose one of these points and replace it in the equation, the result will be the same:
(-3,5)
<span>y-y₀=m(x-x₀)
</span>y-5=-8/5(x+3)
Answer: y-5=-8/5(x+3)
ANSWER:
50% increase
The percent of change of 30 increased to 45 is a 50% increase.
STEP-BY-STEP EXPLANATION:
% of change = [ ( New amount - original amount ) / original amount ] × 100%
Let % of change = x
x = [ ( 45 - 30 ) / 30 ] × 100%
x = ( 15 / 30 ) × 100%
x = ( 1 / 2 ) × 100%
x = 0.5 × 100%
x = 50%
Answer:
a) YES. Repeating decimal
b) YES. Repeating decimal
c) NO. Decimal neither terminates nor repeats
d) YES. Terminating decimal
Step-by-step explanation:
Any rational number can be written as a fraction, that is, a division of integers.
a) The number
has a repetitive period of 54. It can be expressed as a fraction because its decimal are repeating forever
b) The number 0.16666... (expressed as a repeating 6) can also be converted to a fraction because it's a repeating decimal
c) The number 0.5473... cannot be expressed as a fraction because the ellipsis (...) means the decimals continue with no limit and no pattern can be found (no repetitive decimal)
d) The number 0.378 can be easily expressed as a fraction because it has a finite number of decimals (no ellipsis) or a terminating decimal
X + 7/6 = 2x - 7/6
x + 7/6 (-7/6) = 2x - 7/6 - (7/6)
x = 2x - 14/6
x (-2x) = 2x (-2x) - 14/6
-x = -14/6
x = 14/6 or 2.33
x = 2.33
hope this helps
Answer:
3x+24 more widgets
Step-by-step explanation:
A company owns two manufacturing plants:
- 1st plant: 8x+17 widgets;
- 2nd plant: 5x-7 widgets.
To find how many more items the first plant produces daily than the second plant, we have to subtract from the number of widgets the first plant produces the second plant produces. So,
![(8x+17)-(5x-7)\\ \\=8x+17-5x+7\ [\text{Eliminate brackets}]\\ \\=(8x-5x)+(17+7)\ [\text{Combine the like terms}]\\ \\=3x+24](https://tex.z-dn.net/?f=%288x%2B17%29-%285x-7%29%5C%5C%20%5C%5C%3D8x%2B17-5x%2B7%5C%20%5B%5Ctext%7BEliminate%20brackets%7D%5D%5C%5C%20%5C%5C%3D%288x-5x%29%2B%2817%2B7%29%5C%20%5B%5Ctext%7BCombine%20the%20like%20terms%7D%5D%5C%5C%20%5C%5C%3D3x%2B24)