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soldier1979 [14.2K]
3 years ago
5

Apply the distributive property to create an equivalent expression. 1/2 (2a-6b+8)=

Mathematics
1 answer:
Rus_ich [418]3 years ago
3 0

Answer:

a-3b+4

Step-by-step explanation:

a-3b+4

just divide 2a-6b+8 with 2

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A Taxi-cab company charges a flat rate of $1.75 plus $0.75 per mile. Jack has no more than $10 to spend on his cab ride.
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Rate for 1 mile is 1.75$+0.75$=2.50$

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3 years ago
True or false <br><br> (Picture provided)
aksik [14]
<h2>Answer:</h2><h3>False</h3><h2>Step-by-step explanation:</h2>

Let's find the inverse function of f(x)=(x-3)^3+4 to know whether this function has an inverse function f^{-1}(x)=-3+\sqrt[3]{x+4}. So let's apply this steps:

a) Use the Horizontal Line Test to decide whether f has an inverse function.

Given that f(x) is a cubic function there is no any horizontal line that intersects the graph of f at more than one point. Thus, the function is one-to-one and has an inverse function.

b) Replace f(x) by y in the equation for f(x).

y=(x-3)^3+4

c) Interchange the roles of x and y and solve for y

x=(y-3)^3+4 \\ \\ \therefore x-4=(y-3)^3 \\ \\ \therefore (y-3)^3=x-4 \\ \\ \therefore y-3=\sqrt[3]{x-4} \\ \\ \therefore y=\sqrt[3]{x-4}+3

d) Replace y by f^{-1}(x) in the new equation.

f^{-1}(x)=\sqrt[3]{x-4}+3

So this is in fact the inverse function and it isn't the same given function. Therefore, the statement is false

3 0
4 years ago
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dedylja [7]

Answer:

p - 7 = 42

Step-by-step explanation:

"Less than" might make you think of the  <  sign, but that's a mistake.  The expression  7 < p = 42  makes no sense!  In fact, that would say, "7 <u>is</u> less than p and p = 42."

To find 7 less than a number, you subtract 7 from the number.  You start with the number, then subtract 7.

p - 7 = 42

7 0
3 years ago
If you borrow $900 for 4 years at an
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Answer:

$995.04

Step-by-step explanation:

You pay $20.73 every month. $20.73 x 48 = $995.04

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3 years ago
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