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4 years ago

10

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

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>

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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

Read 2 more answers

Write 492,053 in words form

umka21 [38]

Four Hundred Ninety two thousand Fifty Three.

6 0

4 years ago

Read 2 more answers

PLZ do this fast! I need to finish quick!!!!!!!! :/

Ber [7]

Answer:

1.) 5 5215/6957

2.) 300

3.)1 1/3

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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