Part A:
6 2/3 *3 1/2 = 4 1/4 * x
Part B:
20/3 * 7/2 = 17/4 *x
x=20/3 * 7/2 * 4/17
x=(20*7*4) / (3*2*17)
x=560 / 102
<span>x= 5 25/51</span>
There are no 2 consecutive integers which give a product 360360
Well there are 12 players and 9 are in 8th grade so the rest is leaving 3 so 3/12 so converted to percentage is 25% hoped this helped
Remark
It's a right triangle so the Pythagorean Theorem applies. All you have to do is put the right things in the right places of the formula.
Givens
a = x
b = x + 4
c = 20
Formula and Substitution.
a^2 + b^2 = c^2
x^2 + (x + 4)^2 = 20^2
Solution
x^2 + x^2 + 8x + 16 = 20 Collect the like terms on the left.
2x^2 + 8x + 16 = 20 Subtract 20 from both sides.
2x^2 + 8x + 16 - 20 = 0
2x^2 + 8x - 4 = 0 Divide through by 2
x^2 + 4x - 2 = 0
Use the quadratic formula
a = 1
b = 4
c = - 2

From which x = (-4 +/- sqrt(24) ) / 2
x1 = (- 4 +/- sqrt(4*6) ) / 2
x1 = (- 4 +/- 2 sqrt(6) ) / 2
x1 = -2 + sqrt(6)
x2 = -2 - sqrt(6) This is an extraneous root. No line can be minus.
x1 = + 0.4495
x2 = x + 4 = 4.4495
Answer:
f(x) = 3x^2 -21x +36
Step-by-step explanation:
The table gives the x- and y-intercepts, which are sufficient to write the equation in factored form. The x-intercepts of 3 and 4 tell you that factors are (x -3)(x -4). When x=0, this product is (-3)(-4) = 12, but the y-intercept value is 3 times that: 36. So, the factored equation is ...
f(x) = 3(x -3)(x -4)
Multiplying this out, we get ...
f(x) = 3(x^2 -7x +12)
f(x) = 3x^2 -21x +36