A polynomial function is something that is in the form ax^n+bx^(n-1)...+c. For (a), we see that 4x^3 is the highest power of x, so everything after it must be to the power of an integer less than 3 and more than -1. Since -3x^2 is to the power of 2, that works. Since 2 is 2x^0, that works too (since anything to the power of 0 is 1)
For (b), we get that .4x^3 is, again, to the highest power in this expression. However, sqrt(x) is x to the power of 1/2, which is not an integer and therefore making it not a polynomial function.
I challenge you to do c and d on your own using what I said!
For 2, we have f(3)=2 and f(4)=7. That means that we have the coordinates (3,2) and (4,7). Since the equation is y=mx+b, m(the slope) is found by
(x1-x2)/(y1-y2), x is the first number is the point, so 3 and 4 are both x values. Y values are the second number. (3-4)/(2-7)=-1/-5=1/5, which is the slope, making our equation y=(1/5)x+b. Since y and x must always stay that way (in the final equation) we just need to find b. To find it, we can plug in 3 and 2 for x and y respectively, getting 2=(1/5)*3+b=0.6+b. Subtracting 0.6 from both sides, we get b=1.4, making the equation y=(1/5)*x+1.4.
I challenge you to do B and C on your own using what I said!
Answer:
3261.16
Step-by-step explanation:
r=8.6\%=0.086
r=8.6%=0.086
Move decimal over two places
P=1380
P=1380
Given as the pricipal
t=10
t=10
Given as the time
V=Pe^{rt}
V=Pe
rt
V=1380e^{0.086( 10)}
V=1380e
0.086(10)
Plug in
V=1380e^{0.86}
V=1380e
0.86
Multiply
V=3261.1618\approx 3261.16
V=3261.1618≈3261.16
If a quadratic equation has solutions, the standard procedure will always work: given an equation like
The solutions (if any) are given by
In your case, you have
So the formula becomes
Anyway, this is quite a special case, because you're missing the linear term (since 
)
This means that you can solve equations like these more easily: rearrange the equation to make it look like 
. In your case, it becomes
Divide both sides by 9:
Now, you know that the square of a number equals 1/9. By definition, it means that this number is the square root of 1/9. Nevertheless, both the square root and its opposite are solutions of the equation, because the minus sign will cancel out when squaring.
So, in general, you have
which of course makes sense, if you're using real numbers, only if c/a>0.
In your case, this becomes
Answer:
48
Step-by-step explanation:
8 girls x 3books = 24.....
6boys x 4books = 24...( 48 i think would be the answer
