Answer:
x=2 and y=5
Step-by-step explanation:
Steps:
I will solve your system by substitution.
x=y−3;2x+y=9
Step: Solve x = y − 3 for x:
Step: Substitute y − 3 for x in 2x + y = 9:
2x+y=9
2(y−3)+y=9
3y−6=9(Simplify both sides of the equation)
3y−6+6=9+6(Add 6 to both sides)
3y=15
3y/3=15/3 (Divide both sides by 3)
y=5
Step: Substitute 5 for y in x = y − 3 :
x=y−3
x=5−3
x=2(Simplify both sides of the equation)
Answer:
x=2 and y=5
Answer: In 2008 the population was 21,525,144
Step-by-step explanation:
You need to use the following formula for Exponential decay:

Where
is the initial population in the year 0,
is the rate of decay and
is the time.
In this case, you can identify that:

Therefore, substituting these values into the formula for Exponential decay, you get:

Then, in 2008 the population was 21,525,144
Answer:
y= (3/4) x - (3/2)
Step-by-step explanation:
3x - 4y = 6 (using algebra add the 4y to the other side & subtract the 6 to the other side >> 3x - 6 = 4y (then divide everything by 4 to get y by itself) >> 3/4x - 6/4 = y (then simplify) >> 3/4x - 3/2 = y
Answer:
The answer is a. 21.
Step-by-step explanation:
We solve this question by using Pythagoras theorem to relate the sides of a right angled triangle.
Here,
Hypotenuse of the given triangle(c)=75
Two sides of right angled triangle are:
a=72
b=?
Then,
for a given right angled triangle abc,
Using Pythagoras theorem,

Squaring on both sides,

or,
or, 
or,
or,
∴
So, the value of b is obtained to 21 by the use of Pythagoras theorem.
Answer:
The answer is -3.4. If you have to round it, round it down to 3.
Step-by-step explanation: