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gayaneshka [121]
2 years ago
10

Let f(x)=3x-7 and g(x)=2x². Perform the function operation and then find the domain of the result.

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
6 0

Answer: A

Step-by-step explanation:

f(x)=3x-7\\g(x)=2x^2

(f-g)(x)=3x-7-(2x^2)\\(f-g)(x)=3x-7-2x^2\\(f-g)(x)=-2x^2+3x-7

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Serena is building a bookcase she cuts two pieces of wood from one board one piece is 1 7/8 feey long and another is 3.5 ft long
Vladimir79 [104]

Answer:

\frac{43}{8}  feet

Step-by-step explanation:

The total change is the sum of the length of two boards she cut.

First board length is 1  7/8th feet. Let's change to improper fraction:

1 7/8 = 15/8 feet

Second board lengrh is 3.5 feet, or 3  1/2 feet. Let's change to improper fraction:

3  1/2 = 7/2 feet

Let's add the two:

\frac{15}{8}+\frac{7}{2}\\=\frac{15+28}{8}\\=\frac{43}{8}

The change in original board is 43/8 feet

3 0
3 years ago
If it takes two people six hours to paint a room, how long will it take four people
nika2105 [10]

12 hours

Step-by-step explanation:

just multiply bro

4 0
2 years ago
Find point P that divides segments AB into a 2:3 ratio.
nasty-shy [4]
\bf ~~~~~~~~~~~~\textit{internal division of a line segment}
\\\\\\
A(-3,1)\qquad B(3,5)\qquad
\qquad \stackrel{\textit{ratio from A to B}}{2:3}
\\\\\\
\cfrac{A\underline{P}}{\underline{P} B} = \cfrac{2}{3}\implies \cfrac{A}{B} = \cfrac{2}{3}\implies 3A=2B\implies 3(-3,1)=2(3,5)\\\\
-------------------------------\\\\
P=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)

\bf -------------------------------\\\\
P=\left(\cfrac{(3\cdot -3)+(2\cdot 3)}{2+3}\quad ,\quad \cfrac{(3\cdot 1)+(2\cdot 5)}{2+3}\right)
\\\\\\
P=\left(\cfrac{-9+6}{5}~~,~~\cfrac{3+10}{5}  \right)\implies P=\left(-\frac{3}{5}~~,~~\frac{13}{5}  \right)
6 0
3 years ago
April shoots an arrow upward at a speed of 80 feet per second from a platform 25 feet high. The pathway of the
zaharov [31]

Answer:

The maximum height of the arrow is 125 feet.

Step-by-step explanation:

The pathway of the arrow can be represented by the equation,

h = -16t^2 +80t + 25 .....(1)

Where h is height in in feet and t is time in seconds.

It is required to find the maximum height of the arrow. For maximum height, \dfrac{dh}{dt}=0.

So,

\dfrac{d(-16t^2 +80t + 25)}{dt}=0\\\\-32t+80=0\\\\t=\dfrac{80}{32}\\\\t=2.5\ s

Put t = 2.5 s in equation (1). So,

h = -16(2.5)^2 +80(2.5) + 25\\\\h=125\ \text{feet}

So, the maximum height of the arrow is 125 feet.

6 0
3 years ago
Pls help this is important
Svet_ta [14]

Answer:

<h2>C is the answer </h2>

Step-by-step explanation:

<h2>5/4 is the answer</h2>

8 0
2 years ago
Read 2 more answers
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