There are 27 red or blue marbles in the bag. The number of red marbles is 5 less than 3 times of the blue marbles. How many red marbles are in the bag? How many blue marbles are in the bag?
Answers
Let
x--------> The number of red marbles
y--------> The number of blue marbles
we know that
equation
equation
equate equation and equation
therefore
the answer is
The number of red marbles is
The number of blue marbles is
27+5=4x-5+5
4x=32
4x/4=32/4
x=8
There are 8 blue marbles and 19 red marbles.
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On a coordinate plane, a parabola opens down. It goes through (negative 4, 0), has a vertex at (negative 1. 75, 6.2), and goes through (1, 0).
On a coordinate plane, a parabola opens up. It goes through (negative 1, 0), has a vertex at (1. 75, negative 6.2), and goes through (4, 0).
On a coordinate plane, a parabola opens up. It goes through (negative 4, 0), has a vertex at (negative 1. 75, negative 6.2), and goes through (1, 0).
Answers
Answer:
None of the above
Step-by-step explanation:
See the attachment for x-intercepts and vertex coordinates. These coordinates do not match any of the answer choices.
___
The closest choice is the last one. It has the direction of opening and the intercepts correct, but the vertex coordinates wrong.
We can write the graph of f(x) = (x - 1)(x + 4) as, "On a coordinate plane, a parabola opens up. It goes through (-4, 0), has a vertex at (-1.5, -6.25), and goes through (1, 0)."
What is a parabola?
A parabola is a plane curve created by a moving point whose distance from a stationary point equals its distance from a fixed-line.
How do we solve the given question?
In the question, we are given an equation of f(x) = (x - 1)(x + 4), and are asked to identify its graph.
The given equation is of a parabola in the intercept form f(x) = a(x - p)(x - q), which opens up if a > 0 and opens down if a < 0, and which has a vertex at the point , and passes through the point (p, 0) and (q, 0).
Comparing the equation f(x) = (x - 1)(x + 4) to f(x) = a(x - p)(x - q), we get
a = 1, p = 1, q = -4.
Since, a > 0 (a = 1), we can say that it opens up.
Now, we calculate (p + q)/2 = (1 - 4)/2 = -1.5
f((p + q)/2) = f(1.5) = (-1.5 - 1)(-1.5 + 4) = (-2.5)(2.5) = -6.25.
Thus, the vertex is at point (-1.5, -6.25).
Also, the equation passes through the points (-4, 0) and (1, 0).
∴ We can write the graph of f(x) = (x - 1)(x + 4) as, "On a coordinate plane, a parabola opens up. It goes through (-4, 0), has a vertex at (-1.5, -6.25), and goes through (1, 0)."
Learn more about a Parabola at
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Answers
To find how ounces Sandy's pitcher holds, we must do:
(64×2)+(48×4)=Total amount of lemonade
128+192=320 ounces
So, Sandy has 320 ounces of lemonade.
Final answer:
Sandy's pitchers can hold a total of 320 ounces of lemonade. This is calculated by multiplying the number of pitchers by the ounces each can hold, and then adding the totals for each group of pitchers.
Explanation:
To find the total amount of lemonade Sandy's pitchers can hold, you first need to calculate how much each group of pitchers can hold. Two pitchers can hold 64 ounces each, so for these two pitchers, the calculation is 2 pitchers * 64 ounces/pitcher = 128 ounces.
Similarly, four pitchers can hold 48 ounces each. So, for these four pitchers, the calculation is 4 pitchers * 48 ounces/pitcher = 192 ounces.
Finally, to find the total amount of ounces all pitchers can hold, you add the totals from each group of pitchers. The calculation is 128 ounces + 192 ounces = 320 ounces. Therefore, Sandy's pitchers can hold a total of 320 ounces of lemonade.
Learn more about Mathematical Calculation here:
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Answers
decimal places.
Answers
Answer:
3:8, 4:16 5:32
Step-by-step explanation:
Answer:
Step-by-step explanation:
pls mark me the brainkiest pls pls pls
18.45_3+h
Answers
Answer: C
Step-by-step explanation:
Answers
Generically, you're asking how many years make 1 billion minutes.
(1 x 10⁹ minutes) x (1hr/60min) x (1 da/24hr) x (1yr/365.25da) =
(1 x 10⁹) / (60 x 24 x 365.25) years = 1,901.3 years (rounded)
24 hours =1440 minutes
1 year = 365 days
365 x 1,440 = 525, 600 minutes per year.
it means, 525600 hamburger per year