Answer:
The graph option where the y-axis is intercepted at y = -2.5 by the line of the graph.
Step-by-step explanation:
The answer choices for the possible graphs that have the same y-intercept as the graph of 10x - 16y = 40 is missing here.
However, the answer can still be explained here.
We can figure out how the graph would look like.
First, understand that the y-intercept of a graph is the value of y, of the point where the line intercepts the y-axis.
Let's figure out what the y-intercept is given a graph represented by the equation, 10x - 16y = 40.
Rewrite the equation in slope-intercept form.
10x - 16y = 40
-16y = -10x + 40
y = -10x/-16 + 40/-16
y = ⅝x - ⁵/2
Therefore, the y-intercept of the graph of 10x - 16y = 40 is -⁵/2 or -2.5.
✅The graph shows a line with the same y-intercept as the graph of 10x - 16y = 40, would have it's y-axis intercepted at y = -2.5.
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>
Answer:
64-5 divided by 64-3 is 59 divided by 61. 59
8 squared is equal to 64. -----
61
Step-by-step explanation:
The answer is 25 since 4•4 is 16 and 16 plus 12 is 28. 28 - (2•3=6) + 3= 25
Height without rounding - 5.89
5.89
Rounded - 5.9 feet tall
