Hello : let A(3,0) B(0,-5)<span>
the slope is : (YB - YA)/(XB -XA)
(-5-0)/(0-3) = 5/3
</span>
<span> an equation, in the slope intercept form is : y - (-5) = (5/3)(x-0)
y = (5/3)x - 5</span>
A. This is the original equation: 2x + 3 - 1 = x + 5
b. 2x + 2 = x + 5 ← combined like terms on left side
2x + 2 - 2 = x + 5 - 2 ← used inverse operation to collect constants on right side
2x = x + 3 ←simplified each side
2x - x = x - x + 3 ←used inverse operation to collect variable terms on left side
x = 3 ← simplified each side
answer x = 3
c. 2(3) + 3 - 1 = 3 + 5
6 + 3 - 1 = 8
9 - 1 = 8
8 = 8
Answer:
p = 3.6666(repeating)
Step-by-step explanation:
3/5(p-3)=-4
We simplify the equation to the form, which is simple to understand
3/5(p-3)=-4
Simplifying:
+ 0.6*(p-3)=-4
Reorder the terms in parentheses
+( + 0.6p-1.8)=-4
Remove unnecessary parentheses
+ 0.6p-1.8=-4
We move all terms containing p to the left and all other terms to the right.
+ 0.6p=-4+1.8
We simplify left and right side of the equation.
+ 0.6p=-2.2
We divide both sides of the equation by 0.6 to get p.
p=-3.66666666667
Answer:
The expression
does not represent a percent increase greater than 12%.
Step-by-step explanation:
We are asked to find whether the expression
represent a percent increase greater than 12% if the original amount is x.
First of all, we will find 12% increase. The total amount after x% increase would be original amount plus 12% of original amount.


Since 1.12 is greater than 1.016, therefore, the expression
does not represent a percent increase greater than 12%.
We can rewrite
as:

Let us convert
to percent by multiplying by 100.

Since 1.6% is less than 12%, therefore, the expression
does not represent a percent increase greater than 12%.