Answer:
The equation for the axis of symmetry is x=1.5.
Step-by-step explanation:
It is given that a quadratic function passes through the points ( − 5 , − 8 ) and ( 8 , − 8 ) .
In the given points y-coordinates are same, i.e., -8. It means both the points lie on the horizontal line y=-8.
If a quadratic function passes through two points (a,c) and (b,c), then the equation for the axis of symmetry is
According to the given points a=-5, b=8 and c=-8. Put these value in the above formula.
Therefore the equation for the axis of symmetry is x=1.5.
Theoretical probablity=desiredoutcomes/totalpossibleoutcomes
desired=number of white marbles=20
total possible=red+blue+white=30+50+20=100
so theoretical probablity=20/100=2/10=0.2=20%
Answer:
The answer is 19
Step-by-step explanation: 13 scored from 91-100, and 6 scored from 81-90, all you have to do is add them together.
Answer:
30
Step-by-step explanation:
Since there are 5 possible outcomes for the cards, and 6 possible outcomes for the die, there are a total of 5*6=30 outcomes possible. Hope this helps!
Answer:
Ivy is 6 years old and Rose is 12 years old.
Step-by-step explanation:
To solve this problem, two variables are necessary since we have two unknown variables: Ivy's age and Rose's age.
Ivy's age will be 
and Rose's age will be 
"Ivy is half as old as her sister":
this will be our <u>fist equation.</u>
"In six years, Ivy will be two-thirds as old as Rose"
in six years Ivy will have 
years, and Rose will have 
years, so for this sentence we have the equation:
this will be our <u>second equation.</u>
Substituting the value of x from the first equation into the second, and solving for y(Rose):
Rose is 12 years old.
and Ivy (using the fist equation):
Ivy is 6 years old.
