Step-by-step explanation:
If the zeros are 5 and 9, then the equation will have the form:
y = a (x–5) (x–9)
We know the point (0, 90) is on the curve, so we can use this to find the coefficient a:
90 = a (0–5) (0–9)
90 = 45a
a = 2
y = 2 (x – 5) (x – 9)
Answer:
Step-by-step explanation:
Total money = $600
Bicycle cost = $253.98
3 bicycle reflector = 3×$7.5 =$22.5
Bicycle helmet = $42.36
Total money spent will be equal to the = $(253.98+22.5+42.36)
= $318.84
Amount remaining = $(600-318.84)
= $281.16
The number of outfit he can get at $78.12 = $281.16/78.12 = 3.60
He can get 3 outfit and have $0.60
Left
<u>Solution-
</u>
A researcher placed a petri dish with 32,000 bacterial cells. One hour after being placed in the vacuum chamber, the number of cells in the petri dish had halved. Another hour later, the number of cells had again halved.
This can be represented as exponential decreasing function,

Where,
-
a = starting amount = 32000
- r = rate = 50% = 0.5 as the sample becomes halved in each hour
- x = hours
Putting the values,


y-intercept means, where x=0, so

The coordinate of this poin will be (0, 32000)
This means when x=0 or at the starting of the research, the number of bacteria cells was 32000.
After 3 hours, number of bacteria cells will be,



The coordinate of this point will be (3, 4000)
Brianna's thinking is wrong because obviously all of the expressions are going to equal -4 when x is 0 because -4 would be the only value. Also, if x was a different number, the expressions wouldn't be equivalent. The equivalent expressions are A. 9x - 3x - 4, and C. 5x + x - 4. This is because when both are simplified, they equal 6x - 4.
Answer: Rs. 1,52,550
Step-by-step explanation:
CP of motorcycle = 125000
Selling Price fixed = 125000 + 20% = 150000
10% discount = 150000*10% = 15000
SP after 10% discount
= 150000-15000= 135000
VAT at 13% = 135000 * .13 = 17550
Mr Gurung paid total
135000 + 17550 = 152550