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Arlecino [84]
4 years ago
10

Which graph shows the solutions set of x2+9x+20

Mathematics
1 answer:
frutty [35]4 years ago
8 0

Answer:

See attached picture.

Step-by-step explanation:

The solution set on a graph is the graph or drawing of the function. For this quadratic function, it is the U-shaped graph called a parabola. Graph the equation by finding the x-intercepts and vertex.

The function factors into (x+4)(x+5). So the x-intercepts are -4 and -5.

The vertex of the function is found using -b/2a. Here that is -9/2 = -4.5. This is the x value of the vertex. The y-value is found by substituting x = -4.5 into the function.

(-4.5)^2 + 9(-4.5) + 20

20.25 - 40.5 + 20

Graph three points at (-4,0), (-5,0) and (-4.5, -0.25).

See attached picture for the graph.

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The temperature is 2 degrees and drops to -15 degrees overnight. Write and then evaluate a subtraction expression to determine t
KiRa [710]

Answer:

-17 degrees

Step-by-step explanation:

Given that:

Initial temperature = 2 degrees

Final temperature = -15 degrees

To Determine:

The change in temperature.

Solution:

First of all, let us have a look at the method for calculating the change in any quantity.

Let the initial quantity = a

Let the final quantity = b

Change in quantity = Final quantity - Initial quantity = b - a

Here, we are given the quantity as temperature.

where a = 2 degrees and

b = -15 degrees

Therefore, the change in temperature = -15 - 2 = \bold{-17} <em>degrees</em>

8 0
3 years ago
Wendy's bill for breakfast at a restaurant was $94.She left an18% tip. What was the amount of the tip?
shtirl [24]

Answer:

16.92

Step-by-step explanation:

94*.18=16.92

3 0
3 years ago
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Write 492,053 in words form
umka21 [38]
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6 0
4 years ago
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PLZ do this fast! I need to finish quick!!!!!!!! :/
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Answer:

1.)   5   5215/6957

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8 0
3 years ago
A.Find a formula for
Vlada [557]

a. Notice that

1/(1*2) = 1/2 = 1 - 1/2

1/(2*3) = 1/6 = 1/2 - 1/3

1/(3*4) = 1/12 = 1/3 - 1/4

and so on, which suggests the n-th term of the sum can be written as

\dfrac1{n(n+1)}=\dfrac1n-\dfrac1{n+1}

Then the sum itself is telescoping:

\dfrac1{1\cdot2}+\dfrac1{2\cdot3}+\dfrac1{3\cdot4}+\cdots+\dfrac1{n(n+1)}

=\left(1-\dfrac12\right)+\left(\dfrac12-\dfrac13\right)+\left(\dfrac13-\dfrac14\right)+\cdots+\left(\dfrac1n-\dfrac1{n+1}\right)

=1-\dfrac1{n+1}

b. The proof is trivial:

\dfrac1n-\dfrac1{n+1}=\dfrac{n+1}{n(n+1)}-\dfrac n{n(n+1)}=\dfrac{n+1-n}{n(n+1)}=\dfrac n{n+1}

so the formula found in (a) is correct.

5 0
3 years ago
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