Do the x first it gives u the number then plot y
Answer:
a = - 4, b = 5
Step-by-step explanation:
Expand the left side and compare the coefficients of like terms on the right side.
- 3(2x² + ax + b)
= - 6x² - 3ax - 3b
Comparing like terms with - 6x² + 12x - 15
x - term → - 3a = 12 ( divide both sides by - 3 )
a = - 4
constant term → - 3b = - 15 ( divide both sides by - 3 )
b = 5
2(4)-(2) / -3 = -2
2•4 is 8 - 2 is 6, 6 divided by -3 is -2.
Solution-
We can solve this problem by using the concept of slope.
Slope of a line joining two points A (x1,y1) and B (x2,y2) is given by-
slope of AB= (y2-y1)÷(x2-x1)
We have given the vertices of a triangle as D(-4,1), E(3,-1) and F(-1,-4).
∴ slope of line joining D and E= (-1-1)÷(3-(-4))= -2/7
slope of line joining D and F= (-4-1)÷(-1-(-4))= -5/3
and slope of line joining E and F= (-4-(-1))÷(-1-3)= 3/4
∵ Two lines are perpendicular to each other if product of their slopes= -1
Statement 1 is wrong because, (slope of DE)×(slope of EF)=(-2/7)×(3/4)=-3/14≠ -1
Statement 2 is wrong because, (slope of DE)×(slope of DF)=(-2/7)×(-5/3) =10/21≠ -1
Statement 3 is wrong because,(slope of DF)×(slope of EF)=(-5/3)×(3/4)= -5/4≠ -1
∴Statement 4 is correct.
Answer:
<u>The initial deposit that Terry made was $ 150</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Future Value of the account = $ 156
Interest rate = 4% simple interest = 0.04
Terry did not make any withdrawal or deposits
2. What was the beginnings amount of money in Terry's account?
Let's recall the simple interest formula for answer this question:
FV = P * (1 + rt)
Replacing with the values we have:
156 = P * (1 + 0.04)
156 = 1.04p
P = 156/1.04
P = 150
<u>The initial deposit that Terry made was $ 150</u>
