Answer:
The number is 4.
Step-by-step explanation:
We can answer the above question as follow:
The square of a number, x is written as: x²
Eight times the number is written as: 8x
From the question, we were told that the square of the number, x is 16 less than eight times the number. This can be written as:
x² = 8x – 16
Rearrange
x² – 8x + 16 = 0
Solving by factorisation method:
Multiply the 1st term (i.e x²) and the last term (i.e 16) together. The result is 16x² as shown below:
x² × 16 = 16x².
Next, find two factors of 16x² such that when we add them together, it will result to the 2nd term ( i.e – 8x).
The factors are –4x and –4x.
Next, replace – 8x in the equation with –4x and –4x. This is illustrated below:
x² – 8x + 16 = 0
x² – 4x – 4x + 16 = 0
Factorise
x(x – 4) – 4(x – 4) = 0
(x – 4)(x – 4) = 0
x – 4 = 0 or x – 4 = 0
x = 4 or x = 4
Thus, the number is 4.
***** Check *****
x² = 8x – 16
x = 4
4² = 8(4) – 16
16 = 32 – 16
16 = 16
Answer:
y-intercept- (0,-5)
x-intercept (
1
,
0
)
,
(
−
,0)
Step-by-step explanation:
y-intercept- (0,-5)
x-intercept (
1
,
0
)
,
(
−
,0)
You can do many operations, but the best operation to dk for a quick and easy answer is addition, but of course a common denominator would be needed.
Answer:
During 15 hour period, 1409.7 mg of dextrose will be delivered.
The flow rate of dextrose per hour will be 93.98 mg/hour.
Step-by-step explanation:
If a total of 3.81 liters of the solution is given over a 15 hour period.
Now, 1 liter is equivalent to 1000 ml
So, a total of 3810 ml of the solution is given over a 15 hour period.
If 100 ml of solution contains 37 mg of dextrose, then 3810 ml of the solution will contain 
mg of dextrose.
So, during the 15 hour period, 1409.7 mg of dextrose will be delivered.
The flow rate of dextrose per hour will be 
mg/hour. (Answer)
