ANSWER
The function that the given graph corresponds to is
EXPLANATION
The given graph in the attachment has x-intercepts at
These are the solutions of the polynomial function represented by the given graph.
We can write all these solutions as factors to obtain,
The product of all these factors gives us the function whose graph was drawn.
This implies that,
Therefore the correct answer is option C.
Answer:
x = 110°
Step-by-step explanation:
Given that AB = AD then Δ ABD is isosceles and the base angles are congruent, that is
∠ ABD = ∠ ADB = 35°
The sum of the 3 angles in the triangle = 180°, that is
x + 35° + 35° = 180°
x + 70° = 180° ( subtract 70° from both sides )
x = 110°
14x30=520. So, 520 divided by 24 = 21.6 . So, that means that you will need 22 packages of balloons and you will have 8 left over
Answer:
Step-by-step explanation:
The parent function is 
.
We want to transform this function so that its vertex will move from the origin to (3,-6).
In other words, we translate the parent function 3 units to the right and 6 units down,
Let g(x) be the new function then:
9514 1404 393
Answer:
the cubic does not exceed the quadratic until x > 8
Step-by-step explanation:
The attached graph plots the two expressions. The two are equal at x=8. Below that value the expression 7x^2 is greater. Above that value, the expression 7x^3 -x^2 is greater.
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<em>Comment on the question</em>
The directive to "compare the volumes" does not tell anything about the sort of comparison you are expecting. We note that the expression x^3-x^2 is zero or less up to the point where x=1, so we wonder exactly what it is supposed to be modeling. Any real volume will not be negative.
For small values of x, the quadratic is quite a bit larger. However, we know the cubic will grow larger than any quadratic for large values of x. So, the comparison you get will depend on the domain of interest—which is not specified.
