Answer:
22:6, 33:9
Step-by-step explanation:
Basically, ratios are like fractions so 11:3 can be multiplied by 2 and 3:
11:3 x 2= 22:6
11:3 x 3 = 33:9
First, let's put the second equation, <span>x-2.23y+10.34=0, in terms of y:
x - 2.23y +10.34 = 0
2.23y = x + 10.34
y = .45x + 4.64
Now we can substitute the right side of this equation for y in the first equation
</span><span>y=2x^2+8x
.45x + 4.64 = 2x^2 + 8x
Turn it into a quadratic by getting 0 on one side:
2x^2 + 8x - .45x - 4.64 = 0
2x^2 + 7.55x - 4.64 = 0 Divide both sides by 2
x^2 + 3.76x - 2.32 = 0
x =( -b +/- </span>√(b² - 4ac) ) / 2a
x =( -3.76 +/- √(14.14 + 9.28)) ÷ 2
x = .54 or -4.31
Plug the x values into y = .45x + 4.64
y = .45 (.54) + 4.64
y = 4.88 when x= .54
y = .45 (-4.31) + 4.64
y = 2.70 when x= -4.31
Solution set:
{ (0.54, 4.88) , (-4.31, 2.70) }
Answer:
A = $1034
Step-by-step explanation:
The relevant Amount function is A = P(1 + r/n)^(n*t), where r is the annual interest rate as a decimal fraction, n is the number of compounding periods per year, and t is the number of years.
There are 52 weeks in a year. Hence, n = 52, and 25 weeks = 25/52 year, or 0.481 year.
The accumulation (value of the savings) would be
A = ($1000)(1 + 0.07/52)^(52*[25/52]), or approximately
A = ($1000)(1.0013)^25, or approximately A = $1034
Basically the first thing you're going to have to do is move the y's to one side of the equal sign. To do this you can either add 0.3y to both sides of the equation OR subtract 0.7y from both sides of the equation.
Answer:
11
Step-by-step explanation:
Put 3 where x is and do the arithmetic.
g(x) = 3x +2
g(3) = 3·3 +2 = 9 +2
g(3) = 11