Answer:
q=5c
Step-by-step explanation:
q is the total number of questions, so the other numbers/variables must be multiplied together to equal q.
c is the number of chapters read, so that must be multiplied by 5 (questions per chapter) in order to equal q.
Answer:2.28571429 dollars. 4/1.75= 2.28571429, therefore showing how much one will cost.
Step-by-step explanation:
Answer:
7. 37
8. 74
9. 402
10. 74
Step-by-step explanation:
You can simplify the expressions and then do the substitution of the variable value, or you can simply plug in the numbers and do the arithmetic. Either way takes about the same effort.
7. 3(5·4 -1) -4(3·4 -7) = 3·19 -4·5 = 57 -20 = 37
8. 3(5·4 -6) +4(20 -3·4) = 3·14 +4·8 = 74
9. 5(10r +3) -7r = 50r +15 -7r = 43r +15 = 43·9 +15 = 402
10. 4(5r -3) -2(6r -7) = 20r -12 -12r +14 = 8r +2 = 8·9 +2 = 74
Answer:
The lines will have one positive y-intercept and one negative y-intercept is NOT true.
Step-by-step explanation:
If a graphed system has infinitely many solutions, that means that the two equations are the exact same. This means that they'll have the same slope, y-intercept, and will share all of the same points. Answer b is the only choice left.
Answer:
(5sqrt(2), 45 deg)
(-5sqrt(2), 225 deg)
Step-by-step explanation:
(x,y)=(5,5)
So theta=arctan(5/5)=arctan(1)=45 degrees
Now r! r=sqrt(x^2+y^2)=sqrt(5^2+5^2)=sqrt(50)=sqrt(25)sqrt(2)=5sqrt(2)
So one polar point is (5sqrt(2) , 45 degrees)
Now if we do 180+45=225 degrees... this puts us in the 3rd quadrant... to get back to quadrant 1 we just take the opposite of our r
so another point is (-5sqrt(2) , 225 degrees)
