Answer:
f(8)=-31
Step-by-step explanation:
since 8 replaces x in f(x), x should be substituted as 8 in the expression. From there, after you substitute, it becomes 6(1-8)+11. Simplifying that expression is now 6(-7)+11. Multiply 6 and -7, you get -42. -42+11=-31. I hope this helps :)
Answer:
a and b.
Step-by-step explanation:
I’ll explain by giving an example.
Let’s say that: a=3;b=4;c=5; => they all are consecutive -> their sum is 12.
=> if we use a) n=3 => 3*n+3=3*3+3=12 => correct.
b) n+(n+1)+(n+2)= 3+4+5=12=> correct.
c)n+2n+3n=3+6+9=18=>incorrect.
d)3n=3*3=9=>incorrect.
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.
It cost $5 for his brother's ticket.
Step-by-step explanation:
Let,
Micheal's ticket price= x
His brother ticket price = y
According to given statement;
x+y=12 Eqn 1
y = x-2 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
Dividing both sides by 2;
Putting x=7 in Eqn 2
It cost $5 for his brother's ticket.
Keywords: linear equation, substitution method
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