All categories

2 years ago

Which expression is equivalent to (-1.3x-4.5) - (-2.1x+3.6)?

Mathematics

1 answer:

timurjin [86]2 years ago

6 0

Equivalent expressions are expressions with the same value.

The equivalent expression of $(-1.3x - 4.5)- (-2.1x + 3.6)$ is $0.8x -8.1$

Given that:

$(-1.3x - 4.5)- (-2.1x + 3.6)$

Open brackets

$(-1.3x - 4.5)- (-2.1x + 3.6) = -1.3x - 4.5+ 2.1x - 3.6$

Collect like terms

$(-1.3x - 4.5)- (-2.1x + 3.6) = -1.3x + 2.1x - 4.5 - 3.6$

$(-1.3x - 4.5)- (-2.1x + 3.6) = 0.8x -8.1$

Hence, the equivalent of $(-1.3x - 4.5)- (-2.1x + 3.6)$ is $0.8x -8.1$

Read more about equivalent expressions at:

brainly.com/question/18257981

You might be interested in

it takes Sarah 50 minutes to walk to her friends house 1 3/4 miles away. What is her walking pace in miles per hour?

RideAnS [48]

50 minutes= 5/6 hr

(1 3/4 miles)/ (5/6 hr)= 2.1 miles/hr

Hope this would help~

3 0

2 years ago

Read 2 more answers

write a function g whose graph represents a translation 2 units to the right followed by a horizontal stretch by a factor or 2 o

Alenkinab [10]

$\bf f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}\\\\
f(x)=&{{ A}} \left|{{ B }}x+{{ C}} \right|+{{ D}}
\\\\
--------------------\\\\$

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

$\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{ D}}\\
\left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\
\left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

with that template in mind, let's see,

$\bf f(x)=|x| \implies \begin{array}{lllccll}
f(x)=&1|&1x&+0|&+0\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}$

so, to shift it to the right by 2 units, simply set C = 2.
to stretch it by 2, set A = 1/2.

the smaller A is, the wider it opens, the larger it is, the more it shrinks.

5 0

2 years ago

The width of a rectangular painting is 5 inches shorter than it's length. Creat a table of values to include possible widths,len

Misha Larkins [42]

A = L * W
W = L - 5

these are in inches...
length width area
10 5 50 in^2
9 4 36 "
8 3 24 "
7 2 14 "
6 1 6 "

6 0

3 years ago

Do you know how to bake a muffan

soldier1979 [14.2K]

Answer:

yea by using a resipe

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Part A

olasank [31]

<h3>Answer:</h3>

B. f(x) = 3,000(0.85)^x
$1566.02

<h3>Step-by-step explanation:</h3>

Part A

At the end of the year, the value of the computer system is ...

... (beginning value) - 15% · (beginning value) = (beginning value) · (1 - 0.15)

... = 0.85 · (beginning value)

Since the same is true for the next year and the next, the multiplier after x years will be 0.85^x. Then the value after x years is ...

... f(x) = (beginning value) · 0.85^x

The beginning value is given as $3000, so this is ...

... f(x) = 3000·0.85^x

____

Part B

For x=4, this is ...

... f(4) = 3000·0.85^4 = 3000·0.52200625 ≈ 1566.02

The value after 4 years is $1566.02.

8 0

3 years ago