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3 years ago

6

Betty has 741 coins in her piggy bank, worth a total of 10,725 cents. The piggy bank contains ONLY quarters and dimes. How many

dimes has betty saved?

1 answer:

rjkz [21]3 years ago

6 0

This is the 2nd time I've posted this answer... not sure why it didn't go through the first time. Let me know if you have questions. :)

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For the table below, determine the function rule, and find each of the missing y-values.

anygoal [31]

The answer is 8 and 13

<span>
y = ax + b
y = 4, x = 1 </span>⇒ 4 = a + b
y = 6, x = 3 ⇒ 6 = 3a + b

Solve the system of equation:
a + b = 4
3a + b = 6
______
b = 4 - a
3a + b = 6
______
3a + 4 - a = 6
2a + 4 = 6
2a = 6 - 4
2a = 2
a = 2/2 = 1
b = 4 - a = 4 - 1 = 3

So, the function rule is: y = x + 3

Thus, if x = 7, then y = 7 + 3 = 10
If x = 10, then y = 10 + 3 = 13

x y
1 4
3 6
4 7
5 8
7 10
10 13

6 0

2 years ago

Fundamental theorem of calculus<br> <img src="https://tex.z-dn.net/?f=g%28s%29%3D%5Cint%5Climits%5Es_6%20%7B%28t-t%5E4%29%5E6%7D

mr_godi [17]

Answer:

$\displaystyle g'(s) = (s-s^4)^6$

Step-by-step explanation:

The Fundamental Theorem of Calculus states that:
$\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt \right] = f(x)$

Where <em>a</em> is some constant.

We can let:
$\displaystyle g(t) = (t-t^4)^6$

By substitution:

$\displaystyle g(s) = \int_6^s g(t)\, dt$

Taking the derivative of both sides results in:
$\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right]$

Hence, by the Fundamental Theorem:

$\displaystyle \begin{aligned} g'(s) & = g(s) \\ \\ & = (s-s^4)^6\end{aligned}$

3 0

2 years ago

ANSWER QIUCK PLEASE THANKS YOU

LUCKY_DIMON [66]

Answer:

3 3/11

Step-by-step explanation:

8 0

3 years ago

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Best decimal equivalent to 5/8

Igoryamba

The best decimal equivalent is 10/16

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3 years ago

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What is 3 1/5 times 1/6?

const2013 [10]

Answer:

0.53333...

Step-by-step explanation:

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2 years ago

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