Part A:
Consider from x = -5 to x = -4, they are 1 unit apart and the difference of their outputs is given by:
-3 - (-11) = -3 + 11 = 8.
Thus, the value of the output increases by 8 units for each one unit increase in the input.
Part B:
Consider from x = -3 to x = -1, they are 2 units apart and the difference of their outputs is given by:
21 - 5 = 16.
Thus, the value of the output increases by 16 units for each two units increase in the input.
Part C:
Consider from x = 0 to x = 3, they are 3 units apart and the difference of their outputs is given by:
53 - 29 = 24.
Thus, the value of the output increases by 24 units for each three units increase in the input.
Part D:
It can be noticed that the ratio difference in the outputs to the input intervals are equal for all the given input intervals.
i.e 8 / 1 = 16 / 2 = 24 / 3.
<h3>
Answer: 280</h3>
Work Shown:
x = number of students in the 6th grade class
30% = 30/100 = 0.30
30% of x = 0.30x this is equal to 84 since "30% of the 6th graders are boys (and there are 84 boys in sixth grade)", so we say 0.30x = 84
Divide both sides by 0.30 to isolate x
0.30x = 84
0.30x/0.30 = 84/0.30
x = 280
So there are 280 students overall in the 6th grade class.
Answer:
250
Step-by-step explanation:
you have to use the fact that the big triangle and the small triangle are similar and write the proportions
we took half of the side because of ΔABD and ΔBD..
AB= (125*10)/10=125
is AB =125 then AC is duble AC= 2*125=250
Answer:
-23
Step-by-step explanation:
you calculate 49-|6-14|x 9
you then calculate the absolute value
49-|-8|x 9
then multiply the numbers
49-8 x 9
calculate those numbers
49 - 72
your solution will be -23
Answer:
y=2x^2+1
Step-by-step explanation:
a quadratic equation has a x^2 term
