Answer:
x = 32
Step-by-step explanation:
x/4 = 8
<=> x = 8 . 4
<=> x = 32
The retail price is $50 because 25% of 40 is 10 and 10+40=50.
.5 because first you add 1 on each side, that gets rid of the 1 on the left. then divide by 4
Answer:
3) (2,-9)
4) (0,-5)
5) (1,-8)
Step-by-step explanation:
3)
The vertex will occur between you x-intercepts.
You already found that happens at x=2.
To find the corresponding y-coordinate, replace x in
f(x)=(x+1)(x-5) with 2:
f(2)=(2+1)(2-5)
f(2)=(3)(-3)
f(2)=-9
So the vertex is (2,-9).
4)
The y-intercept is when x=0.
So in f(x)=(x+1)(x-5) replace x with 0:
f(0)=(0+1)(0-5)
f(0)=(1)(-5)
f(0)=-5
So the y-intercept is (0,-5).
5)
To find another point just plug in anything besides any x already used.
We preferably want to use a value of x that will keep us on their grid however far up,down,left, or right their grid goes out. So I'm going to choose something close to the vertex which is at x=2. Let's go with x=1.
So replace x in f(x)=(x+1)(x-5) with x=1:
f(1)=(1+1)(1-5)
f(1)=(2)(-4)
f(1)=-8
So another point to graph is (1,-8).
For this case we can make the following rule of three:
9 1/2 m --------------> 28 1/2 rupees
26 1/3 m -------------> x
From here, we clear the value of x.
We have then:
Rewriting we have:
Answer:
samruth should pay 79 rupees to the shopkeeper