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2 years ago

7

tiffany and justin have baseball card collections. justin has 36 more cards than tiffany if they have a total of 92 cards, how m

any does each have ?

1 answer:

saw5 [17]2 years ago

7 0

Answer:Tiffany has 28 Justin has 64

Step-by-step explanation:

64+28=92

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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:

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

7 0

2 years ago

I can’t seem to find the shaded area

mel-nik [20]

Answer:

8/21

Step-by-step explanation:

1- 2/7 - 1/3 = 21/21 - 6/21 - 7/21 = 8/21

5 0

2 years ago

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This figure represents a step in a compass-and-straightedge construction. Identify the construction.

aleksley [76]

a congruent line segment

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3 years ago

Read 2 more answers

Solve for x and y.<br>x=<br>y=

lianna [129]

Answer:

x=1

y=7

I mean it's just a guess

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3 years ago

Audrey gave a 0.90 tip to a waitress for serving a meal costing $6.00. what percent of the bill was her tip?

maw [93]

Answer:

<u>15%</u> percent of the bill was her tip.

Step-by-step explanation:

Given:

Audrey gave a $0.90 tip to a waitress for serving a meal costing $6.00.

Now, to find the percent of the bill was her tip.

The bill was = $6.00.

The tip she gave = $0.90.

Now, to get the percent of the bill was her tip:

$\frac{The\ tip}{The\ bill}\times 100$

$=\frac{0.90}{6.00} \times 100$

$=0.15\times 100$

$=15\%.$

Therefore, 15% percent of the bill was her tip.

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3 years ago