Answer:
<em>Choice: B.</em>
Step-by-step explanation:
<u>Operations With Functions</u>
Given the functions:
![f(x)=\sqrt[3]{12x+1}+4](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7B12x%2B1%7D%2B4)
The function (g-f)(x) can be obtained by replacing both functions and subtracting them as follows:
![(g-f)(x)= \log(x-3)+6 - (\sqrt[3]{12x+1}+4)](https://tex.z-dn.net/?f=%28g-f%29%28x%29%3D%20%5Clog%28x-3%29%2B6%20-%20%28%5Csqrt%5B3%5D%7B12x%2B1%7D%2B4%29)
Operating:
![(g-f)(x)= \log(x-3)+6 - \sqrt[3]{12x+1}-4](https://tex.z-dn.net/?f=%28g-f%29%28x%29%3D%20%5Clog%28x-3%29%2B6%20-%20%5Csqrt%5B3%5D%7B12x%2B1%7D-4)
Joining like terms:
![\boxed{(g-f)(x)= \log(x-3) - \sqrt[3]{12x+1}+2}](https://tex.z-dn.net/?f=%5Cboxed%7B%28g-f%29%28x%29%3D%20%5Clog%28x-3%29%20-%20%5Csqrt%5B3%5D%7B12x%2B1%7D%2B2%7D)
Choice: B.
Answer:
1/4
Step-by-step explanation:
because you basically divided by two on
Answer:
35
Step-by-step explanation:
Maneesha: 75 % × 37 sunflower seeds equals to 27.75
27.75 is a decimal so rounded off they become 28
her friend: 1/3 × 21 = 7 pumpkin seeds
the total of the seeds will be 28 + 7 = 35 seeds
<em> </em><em> </em><em> </em><em> </em>
<em> </em><em> </em><em> </em><em> </em><em>N:</em><em>B </em><em>if</em><em> </em><em>you're </em><em>using</em><em> </em><em>decimal</em><em> </em><em>calculations</em><em>.</em><em> </em><em>T</em><em>he</em><em> </em><em>total</em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>a</em><em>mount</em><em> </em><em>of</em><em> </em><em>seeds</em><em> </em><em>will </em><em>be</em><em> </em><em>34</em><em>.</em><em>7</em><em>5</em>
Answer:
Step-by-step explanation:
Because the distance from the center of the circle to each of those chords is 6, then there's a theorem that says that the chords are also the same length. Because on portion of one of those chords is marked with a single slash mark and measures 9, then the other part of that same segment, also marked with a single slash mark is 9. That makes the whole segment measure 18. Assuming that x is indicative of the whole segment and not just a portion of it, then x = 18
I'm assuming that you meant:
1
f(x) = -------- and that you want to find the value of x at which f(x) = h(x).
x+1
Of course you could create a table for each f(x) and h(x), but setting f(x)=h(x) and solving for x algebraically would be faster and more efficient:
1
f(x) = -------- = 2x + 3 = h(x). Then 1 = (x+1)(2x+3) = 2x^2 + 3x + 2x + 3
x+1
or 1 = 2x^2 + 5x + 3, or 2x^2 + 5x + 2 = 0.
This is a quadratic equation with a=2, b=5 and c=2. The discriminant is b^2-4ac, or 5^2-4(2)(2), OR 25-16= 9.
Thus, the roots are
-5 plus or minus sqrt(9)
x = ------------------------------------
2(2)
-5 plus or minus 3
= ----------------------------------
4
= {-1/2, -2}
Thus, f(x) = h(x) at both x=-1/2 and x= -2.
