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Alexus [3.1K]
3 years ago
12

Which of the following graph represents the solution set for y < -2x-4

Mathematics
2 answers:
Agata [3.3K]3 years ago
7 0

Answer:

The graph is attached below

Step-by-step explanation:

y < -2x-4

To graph the given inequality, replace < symbol by = sign

y = -2x-4

Now make a table

Assume some random number for x  and find out y

x                y= -2x-4

-1                -2

0                 -4

1                  -6

now we graph the points . Use dotted line to connect the points

Now we do shading

Use test point(0,0)

y < -2x-4

0

False

So we shade the part that does not contain (0,0)

Natasha2012 [34]3 years ago
6 0
That's the answer to your question.

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Write the equation of the parabola in vertex form.
givi [52]

Answer: -9 = a(1 - 3)² + 3

Step-by-step explanation:

Vertex Form Equation:

y = a(x - h)² + k

vertex: (h, k) which means

h = 3

k = 3

because your vertex is (3, 3).

Your point is (1, -9) which is (x, y).

This means

x = 1

y = -9

Now, plug everything into your Vertex Form Equation:

-9 = a(1 - 3)² + 3

That’s your equation and final answer, but of course, if you need to, you can solve for a if you need to.

If a is positive, the parabola opens up. If a is negative, the parabola opens down.

Hope this helps!

3 0
3 years ago
(Note: a research study on coniferous trees of the American West
eimsori [14]

Answer:

p = 0.07

p-hat = 0.035

p0 = 0.07

p-value = 0.003

Step-by-step explanation:

p = population parameter, in this case, the rate of infestations across all trees in the forest

p-hat = test statistic, in this case, the rate of infestations found in the sample of trees, i.e. those in Doug's backyard

p0 = the null hypothesis, in this case, the rate of infestations within the forest is correctly evaluated at 0.07 or 7%

p-value = the likelihood any difference between p and p-hat is down to chance

In this case 0.003 as the p-value means there is only 0.3% probability of our statistic value of 0.035 being down to variability and chance meaning it is 99.7% likely that there is some reason behind this difference;

We would accept the alternative hypothesis which says the current parameter value, 0.07, is in fact incorrect (either too high or too low, in this case, likely too high).

3 0
2 years ago
Provide an example of a trig function that includes multiple transformations. Describe how it is different from the standard tri
klio [65]

An example of a trig function that includes multiple transformations and how it is different from the standard trig function is; As detailed below

<h3>How to interpret trigonometric functions in transformations?</h3>

An example of a trigonometric function that includes multiple transformations is; f(x) = 3tan(x - 4) + 3

This is different from the standard function, f(x) = tan x because it has a vertical stretch of 3 units and a horizontal translation to the right by 4 units, and a vertical translation upwards by 3.  

Another way to look at it is by;

Let us use the function f(x) = sin x.

Thus, the new function would be written as;

g(x) = sin (x - π/2), and this gives us;

g(x) = sin x cos π/2 - (cos x sin π/2)  = -cos x

This will make a graph by shifting the graph of sin x π/2 units to the right side.

Now, shifting the graph of sin xπ/2 units to the left gives;

h(x) = sin (x + π/2/2)

Read more about Trigonometric Functions at; brainly.com/question/4437914

#SPJ1

5 0
1 year ago
Which functions are symmetric with respect to the y-axis? Check all that apply.
xenn [34]

Answer:

f(x) = |x|, f(x) = [x] + 6

Step-by-step explanation:

Almost all of these are absolute values equations, which means the y doesn't change if x is positive or negative. The first one is the parent form, which is the simplest equation of the absolute equation, so it's symmetric with respect to the y-axis. The second equation is translated 3 units to the left, and the third is translated 31 to the left. The forth is translated 6 up, so it's still symmetric with respect to the y-axis. The fifth is translated 61 units left, and the last one is simply a line, which isn't symmetric.

4 0
3 years ago
What is the multiplicative rate of change of the function???
laiz [17]
Answer:
i think its 2/3
8 0
2 years ago
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