Using the degree of freedom rule, we can solve three unknown variables if and only if the number of independent equations is equal to 3. Thus the number of equations should be equal to the number of variables. We can use substitution to find x.
<span>g(x) = 2k(x) (1)
</span><span>g(x)=2x^+3x+10 (2)
k(x)=2x+16 (3)
we substitute 2 to 1 and also 3 to 1. The resulting function hence becomes:
</span>2x^+3x+10 = 2 * (2x +16)
Simplifying the equation on the right.
2x^+3x+10 = 4x +32
we group then the like terms on one side. That is,
2x^+3x - 4x+10 -32 = 0
2x^2 - x - 22 = 0
The factors using the quadratic equation are
x1 ==1/4+1/4√<span>177
</span>x2 ==1/4-1/4√177
Multiply 190 by 0.27 and you should get your answer
Answer:
25 cm.
Step-by-step explanation:
If the hypotenuse is x cm long the 2 legs are x-5 and x-10 cm long.
So by the Pythagoras theorem:
x^2 = (x - 5)^2 + (x - 10)^2
x^2 = x^2 - 10x + 25 + x^2 - 20x + 100
x^2 - 30x + 125 = 0
(x - 5)(x - 25) = 0
x = 5, 25
We can discard x = 5 because that would make the lengths of the legs negative so the hypotenuse = 25 cm long.
Subract what she rode already from total:
48-18 = 30
Divide by number of days:
30/4 = 7.5
she will need to ride 7.5 miles per day
Question 1. Raquel sold 18 tickets since if you do 54-22-14 you would get 18
(c)