First, subtract 2/3 from both sides and you get

Then multiply both sides by 6/5 and you get
a = 3, b= - 4 and c = - 4
expand the left side using FOIL
(2x + 1)(ax + b) = 2ax² + 2bx + ax + b = 2ax² + x(2b + a) + b
compare the coefficients of expressions on left and right sides.
compare 2ax² + x(2b +a) + b with 6x² - 5x + c
coefficients of x² terms → 2a = 6 ⇒ a = 3
coefficients of x terms → 2b + a = - 5 → 2b + 3 = - 5 → 2b = - 8 ⇒ b = - 4
constant terms c = b = - 4
Answer:
lol you've asked like 10 probability questions in 20 minutes i wonder what chapter you're studying
Step-by-step explanation:
Answer:
The rate of change is
ft^(2)/min
Step-by-step explanation:
The area of a circle is given by the following equation:

To solve this question, we have to realize the implicit differentiation in function of t. We have two variables, A and r. So

We have that:
.
We want to find 
So


Since the area is in square feet, the rate of change is in ft^(2)/min.
So the rate of change is
ft^(2)/min
Answer:
- y = -5x +10
- (0, 10)
- (1, 5)
- see attached
Step-by-step explanation:
1. Subtract 5x from both sides to put the equation in slope-intercept form:
y = -5x +10
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2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...
(x, y) = (0, 10)
You may notice this is one of the points listed in part 4, and is also used in question 3.
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3. The x-value computed is 1; the y-value computed is 5. The point is ...
(x, y) = (1, 5)
You may notice this is one of the points listed in part 4.
__
4. See attached