Cassie has 8 red marbles and 12 yellow marbles. Her mom doubles her red and yellow marbles for her birthday. Use the distributiv
2 answers:
Answer:
Cassie will have 40 marbles.
Step-by-step explanation:
Cassie has 8 red marbles and 12 yellow marbles.
Her mom doubles her red and yellow marbles for her birthday.
So, we can denote this mathematically as:
2(8) for red marbles.
2(12) for yellow marbles.
We can write total marbles as:
or
=
Total marbles = 40
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We want to solve the equation :
first, multiply both sides by 4:
divide both sides by 3:
add -3 to both sides:
Answer: x=9
first, multiply both sides by 4:
divide both sides by 3:
add -3 to both sides:
Answer: x=9
Answer:
Step-by-step explanation:
A parabola is written in the form
(1)
where:
is the x-coordinate of the vertex of the parabola
is the y-coordinate of the vertex of the parabola
is a scale factor
For the parabola in the problem, we know that the vertex has coordinates (4,-3), so we have:
(2)
From this last equation, we get that (3)
Substituting (2) and (3) into (1) we get the new expression:
(4)
We also know that the parabola contains the point (2,-1), so we can substitute
x = 2
f(x) = -1
Into eq.(4) and find the value of k:
So we also get:
So the equation of the parabola is:
(5)
Now we want to rewrite it in the standard form, i.e. in the form
To do that, we simply rewrite (5) expliciting the various terms, we find: