The function f(x) takes on the value 2 when x = -7 and x = -3, and thus the corresponding points are (-7,2) and (-3,2).
The points where g(x) = 0 are called "roots" or "solutions," and is (3,0).
f(x) > g(x) on the approx. interval (-9, -3/4).
85/100
17/20 when simplified
Answer:
(1,-7)
Step-by-step explanation:
y= -9x + 2.............equn(1)
y= -3x - 4..........................(2)
subtract equation (1) from equn. (2)
0= -6x + 6
subtract 6 from both sides
0-6= -6x + 6-6
-6 = -6x
divide via by -6
-6/-6 = -6x/-6
x=1
to solve for y, put x in any equation
equation (1)
y=-9x+2
y=-9(1)+2
y=-9+2
y= -7
The expected value of business profit is the sum of probability times profit:
... 0.2×(-10,000) + 0.4×0 + 0.3×5,000 + 0.1×8,000
... = -2000 + 1500 + 800
... = 300 . . . dollars
The expected value of the business return is slightly positve, so Claire should invest in the business.
Answer:
1st blank: substitution property of equality
2nd blank: linear pair theorem
3rd blank: substitution property of equality
Step-by-step explanation:
<u>1st blank</u>
∠EIJ ≅ ∠GJI (eq. 1)
∠EIJ ≅ ∠IKL (eq. 2)
∠GJI ≅ ∠JLK (eq. 3)
Substituting eq. 3 into eq. 1:
∠EIJ ≅ ∠JLK
and then, substituting eq. 2:
∠IKL ≅ ∠JLK
which means that m∠IKL = m∠JLK
<u>2nd blank</u>
The Linear Pair Theorem states that two angles that form a linear pair are supplementary
<u>3rd blank</u>
m∠JLK + m∠JLD = 180°
Substituting with the previous result:
m∠IKL + m∠JLD = 180°
