Using a linear function, it is found that the estimated French score is of 38.1875.
A <em>linear function</em> has the following format:
In which:
Searching the problem on the internet, it is found that two points of the line of best-fit are: (10,65) and (90,26).
The slope is given by <u>change in the output divided by the change in the input</u>, hence:
Then:
Point (10,65) means that when 
, and this is used to find b.
Hence:
For a student who got 65 in math, x = 65, and hence:
The estimated French score is of 38.1875.
For more on linear functions, you can check brainly.com/question/16302622
If there is only one solution, at x=-3, then the factor of (x+3) must be repeated. The equation must be equivalent to
... (x +3)² = 0
This multiplies out to give
... x² +6x +9 = 0
The value of m is 6.
_____
For finding the square of a binomial, you can either use the special form you have memorized:
... (x +a)² + x² +2ax + a²
or you can use the distributive property.
... (x +a)² = x(x +a) +a(x +a)
... = x² +ax +ax +a² = x² +2ax +a²
Answer:
C. -7 < x < 7
Step-by-step explanation:
|2x| is the absolute value of 2x. You can think of it as the positive of a number, or as the distance between a number and 0 on a number line.
So |2x| < 14 means 2x is less than 14 units away from 0.
We can split this into two inequalities.
2x < 14 and 2x > -14
Solving both, we get:
x < 7 and x > -7
-7 < x < 7
Answer:
The responses to these question can be defined as follows:
Step-by-step explanation:
For point a:
For point b:
The complete question describes the use of word problems to represent inequalities. The $21 means that there is a limit to the number of stops she can take using the train.
The inequality that represents this scenario is:
From the complete question, we have the following parameters:
Initial Fee = $5
Rate per stop = $2.75
Amount = $21
The inequality that represents the scenario is as follows:
Initial Fee + Rate * Number of stops <= Amount
We use <= because the total charges must not exceed the amount.
Let the number of stops be x.
The above formula becomes
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