Answer:
see explanation
Step-by-step explanation:
a
f(0) means find the value of y when x = 0
That is f(0) = 1 ← the point (0, 1) on the graph
b
When f(x) = - 3 means what are the values of x corresponding to y = - 3
From the graph when y = - 3 there are 2 corresponding values of x, that is
x = - 2 or x = + 2
The solution to f(x) = - 3 is x = ± 2
Answer:
x ≥ 250
Step-by-step explanation:
Note that "greater than or equal to" looks like ≥
50 + x ≥ 300
Isolate the variable. What you do to one side, you do to the other. Subtract 50 from both sides.
x + 50 (-50) ≥ 300 (-50)
x ≥ 300 - 50
x ≥ 250
x ≥ 250 is your answer.
~
Answer:
1. 9 < s < 17
2. 5 < MN < 19
3. AD > BD
Step-by-step explanation:
1. The triangle inequality tells you the sum of any two sides of a triangle must exceed the length of the other side. (Some versions say, "must be not less than ..." rather than "must exceed.") In practice, this means two things:
- the sum of the shortest two sides is greater than the length of the longest side
- the length of any side lies between the sum and the difference of the other two sides
Here, we can use the latter fact to write the desired inequality. The difference of the given sides is 13 -4 = 9; their sum is 13 +4 = 17. The third side must lie between 9 and 17. If that side length is designated "s", then ...
9 < s < 17
(If you don't mind a "triangle" that looks like a line segment, you can use ≤ instead of <.)
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2. Same as (1) using different numbers.
12 -7 < MN < 12 +7
5 < MN < 19
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3. Side CD is congruent to itself, and side CA is shown congruent to side CB. This means the requirements of the Hinge Theorem are met. That theorem tells you the longer side is opposite the greater angle:
AD > BD
Answer:

Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
And we need to find the potential solutions of it. The given equation is the logarithm of x² - 25 to the base e . e is Euler's Number here. So it can be written as ,
<u>Equation</u><u> </u><u>:</u><u>-</u><u> </u>
<u>In </u><u>general</u><u> </u><u>:</u><u>-</u><u> </u>
- If we have a logarithmic equation as ,
Then this can be written as ,
In a similar way we can write the given equation as ,
- Now also we know that
Therefore , the equation becomes ,
<u>Hence</u><u> the</u><u> </u><u>Solution</u><u> </u><u>of </u><u>the</u><u> given</u><u> equation</u><u> is</u><u> </u><u>±</u><u>√</u><u>2</u><u>6</u><u>.</u>
I cannot do turning points.
Also, if this is from a test, it can be removed.
But here is a graph of the function.