Answer:
(fg)(x) = x^3-4x^2-16x+64, D: All Real Numbers
Step-by-step explanation:
(fg)(x) = f(x) x g(x)
= 16-x^2(4-x)
=64-16x-4x+x^3
(fg)(x) = x^3-4x^2-16x+64
Domain is all real numbers because you can substitute any real number for x and the function would still work.
Answer:
y=0.2x-20
Step-by-step explanation:
1) the common view of the line in the slope-intercept form is:
y=s*x+i, where s - the value of the slope (it is 0.2 according the condition), i - the value of intercept (to be calculated);
y=0.2*x+i.
2) if to substitute the given coordinates (1.25;-17.5) into the common view, then:
-17.5=1.25*0.2+i;
it is possible to calculate the value of 'i': i= -20.
3) if the slope=0.2, the intercept= -20, then the required equation of the line is:
y=0.2x-20.
Answer:
3214325435435345353534
Step-by-step explanation:
32143255345353534321432543543534535353432143254354353453535345345353534321432543543534535353432143254354353453535343214325534535353432143254354353453535343214325435435345353534534535353432143254354353453535343214325435435345353534
If the markers are 4.5 inches away on the map, and 2.5 inches represents 10 miles, then we need to make ratios we can work with.
Inches / Miles:
4.5 / x
2.5 / 10
Now, we can cross multiply to end up with:
2.5 * x = 4.5 * 10
Simplify:
2.5x = 45
Divide 2.5 on each side:
2.5x / 2.5 = 45 / 2.5
Simplify:
x = 45 / 2.5
x = 18
Awesome! Now we have a real ratio on the real distance of the markers.
<span>2.5 : 10 & 4.5 : </span><span>18.
</span>
18 miles is the actual distance between the two markers.
Hope I could help! If my math is wrong, or it isn't the answer you are looking for, please let me know!
<span>Have a good one!</span>
The answer is 73.33333333 (repeated). You can also write it as 73 or 73.3 with a line over the 3 (after the decimal point) to indicate it being repeated.
