Answer:
B. $1430
Step-by-step explanation:
Put 6 in the equation for n and do the arithmetic.
A(6) = 1300 +(6 -1)(0.02·1300)
= 1300(1 +5(.02)) = 1300(1.1)
A(6) = 1430 . . . . matches choice B
Solution: The needed answer for first blank is 1 and the needed a for second blank is 1.
Explanation:
The given equation is 
.
The form of perfect square is 
.
The given equation can be written as 
.
To make the perfect square we can add or subtract 
in the given equation. Where, a is coefficient of 
and b is coefficient of x. In the parenthesis the coefficient of is 1 and coefficient of x is 2.
So, the given equation is written as 
Therefore, the needed answer for first blank is 1 and the needed a for second blank is 1.
I wonder what the best way of explaining this is? You could graph the results for each choice. Or you could reason it out.
The first thing you have to do it deal with y = 3. Draw a really crude graph like a set of axis. Make the y values go from -5 to + 5. x for the moment does not matter.
Draw a horizontal line through y = 3 or going through the point (0,3). Now here's the catch and you're going to have to read it very carefully.
Condition One
If a>0 then the graph opens upward and b is going to have to be less than 3. That sentence is an absolute nightmare. Think carefully about what a>0 means. Make it 2 and draw a rough graph opening upward on the crude axis you have drawn. b is the y value of the minimum, so that minimum has to be less than 3. Are there any point like that? The two points where a>0 are C and D.
C
The lowest point that C will hit is 4. That's not good enough. b = 4 is the lowest y value. C is not the answer
D
The lowest point is 3. The graph will just touch y = 3. That's not good enough either. Touching y = 3 does not produce 2 roots. It produces just one.
Condition Two
a < 0 Here the graph opens downward. It means the a<0 and b>3. You need to look at A or B. Which point does that? A has a maximum below 3. It's no good. A is wrong.
So the answer must be B. a<0 and b>3. Right on 2 solutions.
Y - y₁ = m(x -x₁)
slope m = -1/4, from point (8, -3) , x₁ = 8, y₁ = -3
y - y₁ = m(x -x<span>₁)
</span>y - -3 = -(1/4)(x - 8<span>)
</span>
<span>Option A
y + 3 = -(1/4)(x - 8) </span>
Answer:
x+y=4
Step-by-step explanation:
No solution means that the lines will never intersect. We know that the slope of line A is -1, and it's y intercept is 2. If you look at the last option for the answer choices, it's slope is also -1, but it's y intercept is at 4. These lines have the same slope, also known as parallel, so they will never intersect, thus giving no solution
