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velikii [3]
2 years ago
12

Question 2 (Multiple Choice Worth 1 points)

Mathematics
1 answer:
Oliga [24]2 years ago
3 0
A vertical line can only pass through the x axsis not the y unless it was at 0 then it would pass through all the y points. A diagonal line can pass through (-5,1) but not a vertical choose x=-5 if you want it to be a vertical line going through (-5,0)
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Extra Credit: Graph the function r(x) = |x −5| + 4. Compare the graph to the graph of f(x) = |x|. Describe the domain and range.
Vlad [161]

I forgot. Ill edit this when i remember

3 0
3 years ago
Solve for all solutions x2=29
Westkost [7]

Answer:

x=14.5

PLEASE MARK BRAINLIST!!

Step-by-step explanation:

2x=29

Divide by 2 on both sides:

x=14.5

5 0
3 years ago
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In 2003 the population of Africa was about 7.7 million people which is 2million more than 3 times the population in 1950
shtirl [24]
The answer to the question is 1.9 million in 1950.
5 0
3 years ago
PLEASE HELP ASAP
Tpy6a [65]
The area of the polygon with vertices W (1, 1), X (4, 4), Y (7, 1), and S (4, −8) is 36.
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6 0
3 years ago
What are the domain and range of the function f(x)= square rootx-7+9?
FinnZ [79.3K]

Answer:

Domain: [7, ∞)

Range: [9, ∞)

Step-by-step explanation:

1) This question may be easily answered if you are aware of the shape of the graph of sq. root x, and the effect of translations to graphs.

1. x - 7 means that the original graph is translated 7 units in the positive direction of the x-axis (ie. to the right), thus the minimum value for x is also shifted from 0 to 7

2. the + 9 means that the graph is translated 9 units in the positive direction of the y-axis (ie. up), thus the minimum y-value is also shifted from 0 to 9

3. We know that the graph will continue to infinity, both in the x- and y-direction

Thus, the domain would be [7, ∞) and the range [9, ∞)

2) Another way to think about it is to ask yourself when it would make sense for the graph to exist. For this, we must consider that you cannot take the square root of a negative number.

Thus, if we have the square root of (x - 7), for what value of x would (x - 7) be negative? If x = 7:

x - 7 = 7 - 7 = 0

Therefor, any x-value less than 7 will lead to a negative answer, which wouldn't be practical. Any value equal to or greater than 7 will lead to a positive answer, thus the permissible values for x are from 7 to infinity, and so the domain is [7, ∞) (note that square brackets are used for 7 as it is included in the domain, whereas infinity is always closed with round brackets).

If we have already found the domain, then we can simply substitute the values for this into the equation to obtain the range (note that this will work for a square root function, however some functions will have turning points and in this case you must calculate the range based on the turning points as well as the minimum and maximum x-values):

if x = 7: y = sq. root (7-7) + 9

= 9

This is the minimum value for y

if we have x = ∞, then the y value will also be infinitely great, therefor the maximum y-value is also ∞. Thus, the range is [9, ∞).

These questions are much easier to solve however if you are already aware of the basic graph and the effect of dilations, translations and reflections so that you may visualise it better.

4 0
3 years ago
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