Answer: a) $4.17
b) $6.95
Step-by-step explanation:
3 * 1.39 = 4.17
5 * 1.39 = 6.95
Answer:
A: x = 20
C: x = -9
Step-by-step explanation:
You can solve the inequality and compare that with the offered choices, or you can try the choices in the inequality to see if it is true. Either approach works, and they take about the same effort.
<u>Solving it</u>:
Unfold it ...
-17 ≤ x -7.5 ≤ 17
Add 7.5 ...
-9.5 ≤ x ≤ 24.5
The numbers 20 and -9 are in this range: answer choices A and C.
_____
<u>Trying the choices</u>:
A: |20 -7.5| = 12.5 ≤ 17 . . . . this works
B: |-10 -7.5| = 17.5 . . . doesn't work
C: |-9 -7.5| = 16.5 ≤ 17 . . . . .this works
D: |27-7.5| = 19.5 . . . doesn't work
The choices that work are answer choices A and C.
The answer would be 1/4 :)
Given:
The graph of a quadratic function passes through the points (5,31) (3,11) (0,11).
To find:
The equation of the quadratic function.
Solution:
A quadratic function is defined as:
...(i)
It is passes through the point (0,11). So, substitute
in (i).


Putting
in (i), we get
...(ii)
The quadratic function passes through the point (5,31). So, substitute
in (ii).

Divide both sides by 5.
...(iii)
The quadratic function passes through the point (3,11). So, substitute
in (ii).
Divide both sides by 3.
...(iv)
Subtracting (iv) from (iii), we get




Putting
in (iv), we get



Putting
in (ii), we get
Therefore, the required quadratic equation is
.
I'm assuming this means solve for x in which case:
y=ax+b
y-b=ax
(y-b)/a = x