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vfiekz [6]
3 years ago
6

If f(x)= x2 + 2x - 6 and g(x)= 3x2 - 5x - 7, find f(x)-g(x).

Mathematics
1 answer:
dezoksy [38]3 years ago
8 0

Answer:

- 2x² + 7x + 1

Step-by-step explanation:

f(x) - g(x)

= x² + 2x - 6 - (3x² - 5x - 7) ← distribute parenthesis by - 1

= x² + 2x - 6 - 3x² + 5x + 7 ← collect like terms

= - 2x² + 7x + 1

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Ne4ueva [31]

The formula to calculate the lateral area of a cone is given by

LA=pi*r*l

where

LA=10.5pi in2

r=2.1 in

l=? slant height

substitute given values

\begin{gathered} 10.5pi=pi*2.1*l \\ solve\text{ for l} \\ l=\frac{10.5pi}{pi*2.1} \\  \\ l=5\text{ in} \end{gathered}<h2>The answer is 5 inches</h2>
3 0
1 year ago
Two events, X and Y, are independent of each other. P(Y) = 5/6 and P(X and Y) = 1/3. What is P(X) written as a decimal? Round to
Ksenya-84 [330]
For independent events,
P(X &cap; Y) = P(X)* P(Y)
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5 0
2 years ago
Read 2 more answers
A regular hexagonal prism has an edge length 12 cm, and height 10 cm. Identify the volume of the prism to the nearest tenth.
Alexeev081 [22]

Check the picture below.

so the volume will simply be the area of the hexagonal face times the height.

\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\stackrel{\qquad degrees}{\cot\left( \frac{180}{n} \right)}~~ \begin{cases} n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{side}\\[-0.5em] \hrulefill\\ n=6\\ s=12 \end{cases}\implies A=\cfrac{1}{4}(6)(12)^2\cot\left( \frac{180}{6} \right) \\\\\\ A=216\cot(30^o)\implies A=216\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the hexagon}}{(216\sqrt{3})}~~\stackrel{height}{(10)}\implies 2160\sqrt{3}~~\approx ~~3741.2~cm^3

6 0
1 year ago
PLEASE HELP ASAP!!!!!!!
natita [175]

Answer:

142

Step-by-step explanation:

8 0
3 years ago
N/1.6 = 5 what does n equal
FinnZ [79.3K]
N= 8
b/c if u do it backwards 5*1.6=8- you get 8
and to check 8/1.6=5

so n= 5
hope this helps
6 0
2 years ago
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