Answer:
<h2>
</h2>
Step-by-step explanation:
f(x) = x - 5
g(x) = 3x² - 1
To find (fºg)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with g (x)
That's
<h3>
</h3>
We have the final answer as
<h3>
</h3>
Hope this helps you
Answer:
199
Step-by-step explanation:
2004 is 24 years after 1980. The polynomial remainder theorem tells you the remainder from division by x-24 will be the function value c(24). We can find the remainder/function value by evaluating the function rewritten to Horner form:
c(x) = ((0.006x -0.48)x +12.8)x +85
c(24) = ((0.006(24) -0.48)(24) +12.8)(24) +85 = (-.336(24) +12.8)(24) +85
= 4.736(24) +85 = 198.664
c(24) ≈ 199
The approximate number of countries attending the 2004 Olympics was 199.
Answer:
Focus of a Parabola. A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix. The focus lies on the axis of symmetry of the parabola.
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>The numbers from 1 to 9999 can be shown in the form of:</u>
Each of x, y, z represent the digits from 0 to 9, so 10 ways each.
<u>For each of the forms we have:</u>
<u>Total of:</u>
By the way this is applicable to any digit.
Answer:
C
Step-by-step explanation:
The first equation has to be the ratio of raisins to sunflower seeds. If r is raisins and p is sunflower seeds and there are 3 times as many raisins as sunflower seeds then the first equation must be 3r=p
The second equation should model the prices properly. Raisins are 1.5 per pound and sunflower seeds are 4 per pound, because of this we should have 1.5r (r being each pound of raisins) and 4p (p being each pound of sunflower seeds). From this we know the second equation must be 4p+1.5r=34
