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Harman [31]
2 years ago
10

Which piece wise function is graphed below

Mathematics
1 answer:
AlekseyPX2 years ago
3 0

Answer:

Option A

Step-by-step explanation:

Here is how to approach the problem:

We see that all our restrictions for all four answer choices are relatively the same with a couple of changes here and there.
One way to eliminate choices would be to look at which restrictions don't match the graph.

At x<-5, there is a linear function that does have a -2 slope and will intersect the x axis at -7. The line ends with an open circle, so any answer choice with a linear restriction of x less than or equal to -5 is wrong. This cancels out choices C and D.

Now we have two choices left.

For the quadratic in the middle, the vertex is at (-2,6) and the vertex is a maximum, meaning our graph needs to have a negative sign in front of the highest degree term. In our case, none of our quadratics left are in standard form, and instead are in vertex form.

Vertext form is f(x) = a(x-h)^2 + k.

h being the x-coordinate of the vertex and k being the y-coordinate.

We know that the opposite of h will be the actual x-coordinate of the vertex, so if our vertex is -2, we will see x+2 inside the parenthesis. This leaves option A as the only correct choice.

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Ilya [14]

given that

c = 15h + 245

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= 453.75 + 245 = 698.75

so cost if painter works = 698.75 unit of currency.

4 0
3 years ago
Punctele A,B si C sunt coliniare in aceasta ordine.Aflati lungimea segmentului:a)AB,daca AC=20cm,BC=0,12dm
Strike441 [17]

Answer:

The length of the segment AB is 18.8 cm or 1.88 dm

Step-by-step explanation:

<u><em>The question in English is</em></u>

Points A, B and C are collinear in this order. Find the length of the segment: a) AB, if AC = 20 cm, BC = 0.12 dm

we have that

AC=AB+BC ----> by Addition segment postulate

substitute the given values in centimeters

Remember that

1\ dm=10\ cm

so

0.12\ dm=0.12(10)=1.2\ cm

20=AB+1.2

solve for AB

AB=20-1.2\\AB=18.8\ cm

Convert to dm

18.8\ cm=18.8/10=1.88\ dm

therefore

The length of the segment AB is 18.8 cm or 1.88 dm

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Step-by-step explanation:

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