Answer:

Step-by-step explanation:
Given: graph
To find:the inequality
Solution:
Equation of a line passing through points
is given by 
Take 
So,equation of line is evaluated as follows:

As per the graph,inequality is 
Here, use sign < and not
as line in the graph is dotted that is points on the line are excluded.
The height, in feet, of the grasshopper above the ground after t seconds is modeled by the function , which is

When the grasshopper land on the ground,

that is,

Multiplying whole equation by 12 to get rid of denominators 3 and 4


And time cant be negative, so the correct option is

Correct option is C .
Answer:
1. Absolute value
: d. | - 7| = 7
2. All real numbers
: b. 3x = 3x
3. x = -5 : c. 5x = -25
4. No solution
: a. |2x| = -10
5. Adding the opposite to both sides of the equation.
: e. Canceling
Step-by-step explanation:
1. Absolute value
: d. | - 7| = 7
The absolute value is considered the distance to 0... so if there's a negative sign in the value, the negative sign disappears.
2. All real numbers
: b. 3x = 3x
If we divide both sides by 3, we have x = x, which will always be true.
3. x = -5 : c. 5x = -25
If we multiply each side by 5, we have 5(x) = 5(-5) thus 5x = -25
4. No solution
: a. |2x| = -10
The result of an absolute value cannot be a negative number. So, that has no solution since there's no value of x that would make this true.
5. Adding the opposite to both sides of the equation.
: e. Canceling
If you have for example (x = -5) and you add 5 on both sides, you cancel the value on the right side... (becomes x + 5 = 0).
To estimate the value for g(10), that means that you have to substitute 10 in every x of g(x), then
exists g(10) = 90.
The value of g(10), we have to substitute in every x of f(x), the
exists f(90) = 181
Therefore, the value of f[g(10)] exists 181.
<h3>
How to estimate the value of f[g(10)]?</h3>
To estimate the value for g(10), that means that you have to substitute 10 in every x of g(x), then

substitute the value of x = 10

simplifying the equation, we get
g(10) = 100 - 10
g(10) = 90
We have the value of g(10), we have to substitute in every x of f(x), then
f(x) = 2x + 1
substitute the value of x = 90
f(90) = 2(90) + 1
simplifying the equation, we get
f(90) = 180 + 1
f(90) = 181
The value of f[g(10)] exists 181.
Therefore, the correct answer is option b) 181.
To learn more about functions refer to:
brainly.com/question/27063206
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