Answer:
A pound of a JELLY BEANS cost $2.5
A pound of TRAIL MIX cost $1.5
Step-by-step explanation:
From the question, we can draw out two equations and solve them simultaneously.
We should make some mild assumptions to make it easier:
Let Jelly beans be j
Let Trail mix be t
Therefore, we can extract these equations.
5j + 3t =$ 17 ...........i
2j + 12t = $ 23...…..ii
Let's Multiply equation (I) by 4 so that we can easily eliminate.
20j + 12t = $ 68..... iii
Let equation (iii) minus equation (ii)
18j + 0t = $45
18j = $45
j = $45/18
j = $2.5
A pound of a JELLY BEANS cost $2.5
Let's substitute j= $2.5 in EQUATION (I) so as to solve for TRAIL MIX.
5j + 3t =$ 17
5(2.5) + 3t = 17
12.5 + 3t = 17
3t = 17 - 12.5
3t = 4.5
t = $1.5
A pound of TRAIL MIX cost $1.5
Answer:
c. f(x)=x(x+2)(x-1)(x-4)
Step-by-step explanation:
Where it says "as x goes to negative infinity" then "y goes to infinity" (that's the part with the infinity symbols) that means the graph is going up at it's left end. This curve is a quartic (4th degree) which means its left and right ends are kind of parabola-ish, but the middle is not the neat u-ish, v-ish shape of a parabola; it's more like a wonky, noodle-ish wavy affair. Anyway, LIKE a parabola when the beginning of the equation is positive, the two ends point up. That's what's happening here and so we can eliminate b. and d. as potential answers.
Since -2, 0, 1, 4 are zeros (which are solutions...and also x-intercepts) we can find the factors of the function.
If x = -2
ADD 2 to both sides.
x + 2 = 0
This means (x+2) is a factor.
This is enough info to select answer c. but let's verify the other factors.
If x = 1
SUBTRACT 1 from both sides.
x - 1 = 0
Thus means (x - 1) is a factor.
If x = 4
SUBTRACT 4 from both sides.
x - 4 = 0
(x - 4) is a factor.
You can see c. has all these factors as well as x, because x=0 already, so x is a factor too.
I think of this as a working backwards problem, bc usually you have to factor and solve. This one, you have solutions (which are zeros and x-intercepts) and work backwards to find factors and multiply them together to find the function.
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<h3>
Answer: Max height = 455.6 feet</h3>
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Explanation:
The general equation
y = ax^2 + bx + c
has the vertex (h,k) such that
h = -b/(2a)
In this case, a = -16 and b = 147. This means,
h = -b/(2a)
h = -147/(2*(-16))
h = 4.59375
The x coordinate of the vertex is x = 4.59375
Plug this into the original equation to find the y coordinate of the vertex.
y = -16x^2+147x+118
y = -16(4.59375)^2+147(4.59375)+118
y = 455.640625
The vertex is located at (h,k) = (4.59375, 455.640625)
The max height of the rocket occurs at the vertex point. Therefore, the max height is y = 455.640625 feet which rounds to y = 455.6 feet
