Answer:
x = 5.5
Step-by-step explanation:
Since the shape is a parallelogram, the opposite angles are congruent. Angle A is opposite Angle Y so we can set their values equal to each other to solve for x:
3x + 10 = 2x + 15.5
Bring the variables to one side and the constants to the other:
<u>x = 5.5</u>
The equation of a line that passes throug the point (x1,y1) and has a sloppe of m is
y-y1=m(x-x1)
the slope of paralell lines ar the same
y=3x+2
y=mx+b
m=slope
m=3
a point is (-2,0)
slope is 3
y-0=3(x-(-2))
y=3(x+2)
y=3x+6
the equation is y=3x+6
Answer:
f(x) = (3x -2)(2x +1)
Step-by-step explanation:
The procedure for factoring expression of the form ...
ax² +bx +c
is to look for factors of a·c that have a sum of b.
The product a·c is 6·(-2) = -12. You are looking for factors that have a sum of b = -1. From your familiarity with multiplication tables, you know ...
-12 = 1(-12) = 2(-6) = 3(-4)
The sums of the factor pairs in this list are -11, -4, -1. So, the last pair of factors, {3, -4} is the one we're looking for.
__
At this point, there are several ways to proceed. Perhaps the simplest is to rewrite the linear term as the sum of terms involving these factors:
-x = 3x -4x
f(x) = 6x² +3x -4x -2
Now, the expression can be factored 2 terms at a time:
f(x) = (6x² +3x) -(4x +2) . . . . . pay attention to signs
f(x) = 3x(2x +1) -2(2x +1) . . . . factor each pair
f(x) = (3x -2)(2x +1) . . . . . . . . factor out the common factor of (2x+1)
39942 there's your answer kiddo.
TR ( total revenue ) = P ( price ) x Q ( quantity ) = ( 50 - 5 x² ) · x
TR = 50 x - 5 x³
Profit = TR - TC ( total cost ) = 50 x - 5 x³ - 30 x = - 5 x³ + 20 x
If x = 1 ( 1 million hoops ):
15 = - 5 · 1³ + 20 · 1 = - 5 + 20
If we want to find another production that makes the same profit:
15 = - 5 x³ + 20 x
5 x³ - 20 x + 15 = 0 / : 5
x³ - 4 x + 3 = 0
( x - 1 ) ( x² + x - 3 ) = 0
x ≈
1.3Answer:
A ) 1.3 million hoops