Expand & simplify (x - 1)(x + 5)

Mathematics

2 answers:

mihalych1998 [28]2 years ago

8 0

Answer:

x2+4x-5

Step-by-step explanation:

first distrubte

then combine like terms

andrezito [222]2 years ago

5 0

Answer:

x^2 + 4x - 5

Step-by-step explanation:

Multiply each term in x + 5 by x, obtaining x^2 + 5x.

Then multiply each term in x + 5 by -1, obtaining -x - 5

Combining like terms, we get x^2 + 4x - 5

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Write an exponential equation in the form y = ab* whose graph passes through points (2, 18) and (5, 60.75).

DochEvi [55]

Let $y=ab^x,$ as described in the problem statement. Plugging in $x=2$ and $x=5$ gives us the equations $18=ab^2$ and $60.75=ab^5.$ Since $a,b$ are nonzero, we divide the second equation by the first to get $\frac{27}{8}=b^3,$ which means that $b=\frac{3}{2},$ after taking the cube root. Plugging this value for $b$ into the first equation, we now have $18=a(3/2)^2=\frac{9a}{4}.$ Solving gives $a=8,$ and our desired exponential equation is $\boxed{y=8\left(\frac{3}{2}\right)^x}.$