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2 years ago

12

What’s the answer .? Kendall bought a book for $12.59 and a poster for $8.79 at the bookstore.She paid with $25. How much change

should Kendal receive?

1 answer:

mariarad [96]2 years ago

7 0

Answer:

$3.62

Step-by-step explanation:

12.59 + 8.79 = 21.38

25 - 21.38= 3.62

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Asher opened a savings account by making an initial deposit and setting up weekly automatic deposits as shown in the graph. How

Sergio [31]

Answer:

y = 7.5x + 20

Step-by-step explanation:

As per the graph, the y-intercept is 20 which is the initial amount.

Another marked point has coordinates (4, 50).

<u>The slope is:</u>

m = (50 - 20)/4 = 7.5

<u>The equation of the line is:</u>

y = 7.5x + 20

$20 is the initial deposit and weekly deposit is $7.5

5 0

2 years ago

Read 2 more answers

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

3(k − 99) = –60 <br><br>k = ______

MArishka [77]

Answer:

k = 79

Step-by-step explanation:

3(k-99) = -60

(k-99) = -20

k= -20+99

k=79

4 0

2 years ago

Find the area of the figure.

konstantin123 [22]

Answer:

<em>132</em>

<em />

Explanation:

All you need to do is separately find the area of the shapes that are part of the figure (in this case the trapezoid and rectangle), and then add them all up.

1.(7x4) + (1/2x8[7+19])

2. 28 + 104

3. 132

~Hope this helps you~

4 0

2 years ago

Simplify completely 12 times x to the third power minus 4 times x to the 2nd power plus 8 times x all over negative 2 times x. (

jok3333 [9.3K]

So we want to simplify
$\frac{12 {x}^{3} - 4 {x }^{2} + 8x }{ - 2x}$
We split the numerators,

$= \frac{12 {x}^{?3} }{ - 2x} - \frac{4x {}^{2} }{ - 2x} + \frac{8x}{ - 2x}$
$= - 6 {x}^{2} + 2x - 4$
The correct answer is B.

5 0

2 years ago