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Nikolay [14]
2 years ago
12

A rectangle has a length of 2x 5 units and a width of , 3 units. What is the area, in square

Mathematics
1 answer:
sergey [27]2 years ago
5 0

Answer:

2 {x}^{2}  - 11x + 15

Step-by-step explanation:

We we're given the length of the rectangle as

l = 2 {x}  - 5

and the width of the rectangle as :

w = x  - 3

Recall that, the area of a rectangle is

Area=l×w

We substitute the given dimensions of the rectangle into the formula to get:

area =( 2 {x}  - {5} ) \times(x  -   3)

We expand

2 {x}^{2}  - 6x - 5x + 15

This simplifies to:

2 {x}^{2}  - 11x + 15

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the domain of the relation is C

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Find the least common denominator of the fractions 2/8 and 3/5
Ierofanga [76]

Answer:

40

Step-by-step explanation:

2/8 = 10/40

3/5 = 24/40

3 0
3 years ago
Describe the graph of y={1/(2x-10)}-3 compared to the graph of y=1/x
tester [92]
\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% templates
f(x)=  A(  Bx+  C)+  D
\\\\
~~~~y=  A(  Bx+  C)+  D
\\\\
f(x)=  A\sqrt{  Bx+  C}+  D
\\\\
f(x)=  A(\mathbb{R})^{  Bx+  C}+  D
\\\\
f(x)=  A sin\left( B x+  C  \right)+  D
\\\\
--------------------

\bf \bullet \textit{ stretches or shrinks horizontally by  }   A\cdot   B\\\\
\bullet \textit{ flips it upside-down if }  A\textit{ is negative}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }  B\textit{ is negative}

\bf ~~~~~~\textit{reflection over the y-axis}
\\\\
\bullet \textit{ horizontal shift by }\frac{  C}{  B}\\
~~~~~~if\ \frac{  C}{  B}\textit{ is negative, to the right}\\\\
~~~~~~if\ \frac{  C}{  B}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }  D\\
~~~~~~if\   D\textit{ is negative, downwards}\\\\
~~~~~~if\   D\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{  B}

with that template in mind, let's check these two

\bf \stackrel{parent}{y=\cfrac{1}{x}}\qquad \qquad\qquad \qquad  \stackrel{transformed}{y=\cfrac{1}{\stackrel{B}{2}x\stackrel{C}{-10}}\stackrel{D}{-3}}\\\\
-------------------------------\\\\
B=2\qquad \textit{shrinks horizontally by }\frac{1}{2}
\\\\\\
C=-10\qquad \cfrac{C}{B}=\cfrac{-10}{2}\implies -5\qquad \textit{horizontally right-shifted by }5
\\\\\\
D=-3\qquad \textit{vertically down-shifted by }3
7 0
2 years ago
W = 13, x = 9, y = 1.9, z = 0.5<br><br><br> x2 + 4
prisoha [69]

Answer:

17 is the answer

Step-by-step explanation:

6 0
2 years ago
A<br> If Lin sells 6 boxes of popcorn, will she make her goal? State yes or no.
Pavel [41]

Answer:

No.

First, multiply 6 x 4 ($4 is the amount of money he makes from each sale).

6 x 4 = $24

If Lin's goal is $32, and he sells 6 boxes of popcorn for only $24, then he will not reach his goal in that specified range.

8 0
2 years ago
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