Answer:
x>70/11
Step-by-step explanation:
Answer:
Option B, Spencer did not factor the polynomial completely; 16x^2−1 can be factored over the integers.
Step-by-step explanation:
<u>Step 1: Factor</u>
256x^4y^2−y^2
y^2(256x^4 - 1)
y^2(16x^2 - 1)(16x^2 + 1)
<em>y^2(</em><em>4x + 1)(4x - 1</em><em>)(16x^2 + 1)</em>
<em />
Answer: Option B, Spencer did not factor the polynomial completely; 16x^2−1 can be factored over the integers.
Answer:
ΔABC ~ ΔEFD
Step-by-step explanation:
ΔABC ~ ΔEFDc
Let the height be h
According to the Pythagoras Theorem,
h= root 15^2-5^2
= root 225-25
= root 200= 14.14
Thus, the ladder reaches approximately 14.14 feet from the base of the house
Geometric sequence general form: a * r^n
For Greg, we are given the elimination of the medicine as a geometric nth term equation:
200 * (0.88)^t
The amount of medicine starts at 200 mg and every hour, decreases by 12%;
To compare the decrease in medicine in the body between the two, it is useful to get them in a common form;
So, using the data provided for Henry, we will also attempt to find a geometric nth term equation that will work if we can:
As a geometric sequence, the first term would be a and the second term would be ar where r = multiplier;
If we divide the second term by the first term, we will therefore get r, which is 0.94 for Henry;
We can check that the data for Henry can be represented as a geometric sequence by using the multiplier (r) to see if we can generate the third value of the data;
We do this like so:
282 * (0.94)^2 = 249.18 (correct to 2 d.p)
We can tell that the data for Henry is also a geometric sequence.
So now, we just look at the multiplier for Henry and we find that every hour, the medicine decreases by 6%, half of the rate of decrease for Greg.
The answer is therefore that <span>Henry's body eliminated the antibiotic at half of the rate at which Greg's body eliminated the antibiotic.</span>
