Take any 2 points through which the line on graph passes,
(0,-1) =(x₁,y₁)
& (2,-4)=(x₂,y₂)
slope=(y₂-y₁)/(x₂-x₁)
=[-4-(-1)]/(2-0)
=-3/2
Answer:
(5a - [2b - 7c]) and (5a + [2b + 7c])
Step-by-step explanation:
Factor 25a^2 - 4b^2 + 28bc - 49c^2.
Note that - 4b^2 + 28bc - 49c^2 involves the variables b and c, whereas 25a^2 has only one variable. Thus, try to rewrite - 4b^2 + 28bc - 49c^2 as the square of a binomial:
- 4b^2 + 28bc - 49c^2 = -(4b^2 - 28bc + 49c^2), or
-(2b - 7c)^2.
Thus, the original 25a^2 - 4b^2 + 28bc - 49c^2 looks like:
[5a]^2 - [2b - 7c]^2
Recall that a^2 - b^2 is a special product, the product of (a + b) and (a - b). Applying this pattern to the problem at hand, we conclude:
Thus, [5a]^2 - [2b - 7c]^2 has the factors (5a - [2b - 7c]) and (5a + [2b + 7c])
Answer:
$4000 was invested at 4%, 2500 was invested at 3%
Step-by-step explanation:
First and foremost the question has to be define.
Total amount raised is $6500
Savings account percentage simple interest =3%
Government Bond: 4% simple interest
Equation for amount invested at each rate:
(6500-x)0.03 + 0.04x = 235
195 - 0.03x + 0.04x = 235
0.01x = 40
x = 4000
$4000 was invested at 4%, 2500 was invested at 3%
Find X:
38=(3x+4)+(5x-6)
combine like terms
38=8x-2
add 2 to both sides
40=8x
divide both sides by 8
5=x
Find AB:
16=3x+4
subtract 4 from both sides
12=3x
divide by 3
4=x
Find BC:
16=5x-6
add 6 to both sides
22=5x
divide both sides by 5
Answer:
110 / 3.6 = 30.555
Chance for yellow is about 31%
Orange is 70/3.6= 19.4444444
Orange is about 19%
Red is 40/3.6=11.11
Red is about 11
We divide by 3.6 because 360 degrees /100 percent = 3.6
The decimals are repeating so it is infinite decimal places
Yellow is about 31% (30.555555 for exact)
Orange is 19%(19.4444444 for exact)
Red is 11%(11.11111 for exact)
Step-by-step explanation:
