Your teacher is giving a test worth 250 points. There are 68 questions. Some questions are worth 5 points and the rest are worth
1 answer:
There are 38 five point questions and 30 two points questions.
Step-by-step explanation:
Given,
Worth of points in test = 250
Number of questions = 68
Let,
x represent the number of 5 points questions
y represent the number of 2 points question
According to given statement;
x+y=68 Eqn 1
5x+2y=250 Eqn 2
Multiplying Eqn 1 by 2
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 3
Putting x=38 in Eqn 1
There are 38 five point questions and 30 two points questions.
Keywords: linear equation, elimination method
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Answer:
the equation fits the situation, but the table doesn’t.
Step-by-step explanation:
For both functions, the lead roller coaster car starts at an initial height of 32 feet. This is the point (0,32), directly above Landon.
The car races past Landon’s field of vision (y = 0) after it moves a horizontal distance of 4 feet and then 8 feet with respect to the starting point. So, the correct function will have x-intercepts of 4 and 8.
Begin by checking the equation. Rewrite the equation in factored form:
f(x) = − 11
+ 20x + 32
= (x + 1)( − 12x + 32)
= (x + 1)(x − 4)(x − 8)
The equation has x-intercepts of 4 and 8.
But the table only has one x-intercept, located at (4,0). The point (8,160) is well out of Landon’s line of sight.
So, the equation fits the situation, but the table doesn’t.