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Bogdan [553]
3 years ago
14

Can anyone help with number 54?

Mathematics
1 answer:
horrorfan [7]3 years ago
5 0

forgive me if I'm wrong ... but I attempted and got 2,471 like I said I am tired sooooooo

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before tomorrow can I have a quick answer and maybe an explanation on how to answer these kinds of questions overall? need some
MA_775_DIABLO [31]

Answer:

  a) maximum; the parabola opens downward

  b) positive; it must lie above the x-axis

  c) x = 1.5

Step-by-step explanation:

The x-intercepts of a function are the points where the graph of the function crosses the x-axis. The y-values there are zero.

The "differences" of a function are related to the average slope between adjacent points. Second differences are related to the rate of change of the slope of the function. When <em>second differences are negative</em>, as here, the slope of the quadratic function is decreasing, becoming more negative. We say the <em>curvature</em> of the function is <em>negatve</em>, and that it <em>opens downward</em>.

__

<h3>a, b.</h3>

If the graph of the parabola opens downward, and it crosses the x-axis, it must have a <em>maximum</em> that is a <em>positive value of y</em>.

__

<h3>c.</h3>

The graph of a parabola is symmetrical about its vertex. That means points on the same horizontal line are the same distance from the line of symmetry, which must go through the vertex. The x-coordinate of the vertex will be the x-coordinate of the midpoint between the two x-intercepts:

  x = (-2 +5)/2 = 3/2

The x-coordinate of the vertex is x = 1.5.

______

<em>Additional comment</em>

The attachment shows a table with three evenly-spaced points on the curve. The calculations show first differences (d1) and second differences (d2). You can see that the sign of the second diffference is negative, in agreement with the given conditions.

3 0
2 years ago
HELP!!!
Anuta_ua [19.1K]

Answer:

\$77,000 and the graph would fall at a slower rate to the right

Step-by-step explanation:

we have

y=Ao(0.79)^{x}

Observing the graph

The initial value Ao of the truck is equal to the y-coordinate of the y-intercept of the graph

so

Ao=\$77,000

If the depreciation rate was 15% per year, the new formula would be

y=Ao(1-0.15)^{x}

y=Ao(0.85)^{x}

y=77,000(0.85)^{x} ----> the graph would fall at a slower rate to the right

using a graphing tool

compare the graphs

8 0
3 years ago
Find the value of tan 6720 with out calculator
8_murik_8 [283]
The best thing I can say is use a online scientific calculator.
5 0
3 years ago
Read 2 more answers
The ratio of cats to dogs at the animal shelter is 3:4. There
svetlana [45]

Answer: 18 cats

Step-by-step explanation: If the ratio of dogs is 4 and there are 24 dogs then you divided 24 by 4. 24/4 is 6. Then you multiply 3 (the ratio of cats) by 6 which equals 18.

6 0
3 years ago
Read 2 more answers
What is the sum of the series?<br><br> 5<br> ​ ∑ 2j<br> j=1
Nookie1986 [14]
Substituting for values of j:-

S5  =  2(1) + 2(2) + 2(3) + 2(4) + 2(5)  =  2+4+6+8+10  =  30 answer
4 0
3 years ago
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