A) y=(-0.49)x²+23.38x+996.03
B) 1267.63
Use technology for part A.
Using the equation from part A, substitute 20 in place of x:
y=(-0.49)(20²)+23.38(20)+996.03
y=1267.63
Answer:
3/8
Step-by-step explanation:
Triangle QRS has 3 congruent sides, so it is equilateral and equiangular.
The sum of the measures of the angles of a triangle is 180 deg, so each angle of triangle QRS is 60 deg.
Angle RQS measures 60 degrees and forms a linear pair with angle PQS. Angles in a linear pair a supplementary. That makes the measure of angle PQS 120 deg. leaving only 60 degrees as the sum of the measures of angles PSQ and SPQ. Triangle PQS is isosceles since sides PQ and QS are congruent. The angles opposite congruent sides of a triangle are congruent, so angle PSQ is congruent to angle SPQ. That means angles PSQ and SPQ measure 30 deg each.
m<PSR = m<PSQ + m<QSR = 30 + 60 = 90
m<PQS = 120
m<PSR : m<PQS = 90 : 120 = 3 : 4
No choice shows the correct answer.
Let's first convert that amount of money into cents, which makes 336 cents. Then, let's denote the amount of money one of the boys has with x. The other boy has got 3x-12 amount of money. We can construct an equation.
. Solving it we find that x=87 cents or $ 0.87 and the other boy holds $2.49 amount of money.
Answer: A conclusion you reach using inductive reasoning is called conjecture.
Step-by-step explanation: Examining several specific situations to arrive at a conjecture is called inductive reasoning.