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3 years ago

Write the fraction 14/16 in simplest form. If the fraction is in simplest form

Mathematics

2 answers:

mart [117]3 years ago

8 0

7/8 because both the top number, and the bottom number can be divided by 2.

marishachu [46]3 years ago

6 0

14/16 divided by 2/2= 7/8

The simplest form of 14/16 is 7/8.

Hope this helps!

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Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse

Drupady [299]

Answer:

$a'(d) = \frac{d}{5} + \frac{3}{5}$

$a(a'(d)) = a'(a(d)) = d$

Step-by-step explanation:

Given

$a(d) = 5d - 3$

Solving (a): Write as inverse function

$a(d) = 5d - 3$

Represent a(d) as y

$y = 5d - 3$

Swap positions of d and y

$d = 5y - 3$

Make y the subject

$5y = d + 3$

$y = \frac{d}{5} + \frac{3}{5}$

Replace y with a'(d)

$a'(d) = \frac{d}{5} + \frac{3}{5}$

Prove that a(d) and a'(d) are inverse functions

$a'(d) = \frac{d}{5} + \frac{3}{5}$ and $a(d) = 5d - 3$

To do this, we prove that:

$a(a'(d)) = a'(a(d)) = d$

Solving for $a(a'(d))$

$a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})$

Substitute $\frac{d}{5} + \frac{3}{5}$ for d in $a(d) = 5d - 3$

$a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3$

$a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3$

$a(a'(d)) = d + 3 - 3$

$a(a'(d)) = d$

Solving for: $a'(a(d))$

$a'(a(d)) = a'(5d - 3)$

Substitute 5d - 3 for d in $a'(d) = \frac{d}{5} + \frac{3}{5}$

$a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}$

Add fractions

$a'(a(d)) = \frac{5d - 3+3}{5}$

$a'(a(d)) = \frac{5d}{5}$

$a'(a(d)) = d$

Hence:

$a(a'(d)) = a'(a(d)) = d$

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3 years ago

The probability of an event is 4:5. What is this probability expressed as a decimal?

krok68 [10]

Answer:

0.8

Step-by-step explanation:

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3 years ago

Which expression can you use to find the area of the rectangle?

Darya [45]

Answer:

length x width

L * W

Step-by-step explanation:

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3 years ago

Read 2 more answers

The price of books are $180 but he uses a 30% discount but there is a 4% tax what is the total price?

Anna [14]

well, so the book is 180 and is discounted by 30%, how much will that be?

$\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{30\% of 180}}{\left( \cfrac{30}{100} \right)180}\implies 54\qquad \qquad \underset{\textit{discounted price}}{\stackrel{180-54}{126}}$

so from that discounted price, a tax of 4%

$\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{4\% of 126}}{\left( \cfrac{4}{100} \right)126}\implies 5.04\qquad \qquad \underset{\textit{final price}}{\stackrel{126+5.04}{131.04}}$

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3 years ago

The point V (-2, 2) is translated 3 units left. what are the coordinates of the resulting point, V?

damaskus [11]

Answer:

V = (-5, 2)

Step-by-step explanation:

Translating it left or right changes the X value, while up and down changes the Y. Which means (-2, 2) translated 3 units left would be (-5, 2)

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3 years ago