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3 years ago

Graph y=x^2+y^2-4x+8y+16

Mathematics

1 answer:

S_A_V [24]3 years ago

5 0

Here is the function graphed. This is what you asked for.

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A collection of dimes and nickels is worth $5.60. The ratio of dimes to nickels is 3:2. How many dimes and how many nickels are

PolarNik [594]

Now, the nickels and dimes are at ratio of 3:2. However, the total amount is in dollars. So let's convert all amounts to pennies then.

$5.60 is just 560 pennies

3 dimes is just 30 pennies

2 nickels is just 10 pennies

so, the ratio from dimes to nickels is a ratio of 30:10 pennies, or 3:1 then, for a total amount of 560 pennies.

$\bf \cfrac{dimes}{nickels}\qquad 3:2\qquad\cfrac{\stackrel{pennies}{30}}{\stackrel{pennies}{10}}\implies \cfrac{30}{10}\implies \cfrac{3}{1}\implies 3:1~ratio
\\\\\\
\cfrac{\stackrel{dimes}{pennies}}{\stackrel{nickels}{pennies}}\qquad 3:1\qquad \cfrac{3}{1}\implies \cfrac{3\cdot \frac{560}{3+1}}{1\cdot \frac{560}{3+1}}\implies \cfrac{3\cdot 140}{1\cdot 140}\implies \cfrac{420}{140}\\\\
-------------------------------$

$\bf \textit{now, how many dimes in 420 pennies?}\quad \cfrac{420}{10}\implies 42~dimes
\\\\\\
\textit{and how many nickels in 140 pennies?}\quad \cfrac{140}{5}\implies 28~nickels\\\\
-------------------------------\\\\
42~dimes + 28~nickels\implies \$5.60$

3 0

3 years ago

Read 2 more answers

PLEASE HELP!!! CALCULUS ASSIGNMENT

Serga [27]

Answer:

(d) $\displaystyle 12x^3 - 15x^2 + 2$

General Formulas and Concepts:

Algebra I

Functions
Function Notation

Calculus

Derivatives

Derivative Notation

Derivative Property [Addition/Subtraction]: $\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle y = 3x^4 - 5x^3 + 2x - 1$

Step 2: Differentiate

Basic Power Rule: $\displaystyle y' = 4(3x^{4 - 1}) - 3(5x^{3 - 1}) + 2x^{1 - 1} - 0$
Simplify: $\displaystyle y' = 4(3x^3) - 3(5x^2) + 2$
Multiply: $\displaystyle y' = 12x^3 - 15x^2 + 2$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

3 0

3 years ago

Read 2 more answers

PLEASE HURRY

tangare [24]

B can make a triangle

4 0

3 years ago

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Tom works 14 hours a week for 10 weeks and earns a total of $1,351.00. How much money does he make per hour?

vagabundo [1.1K]

14 hours a week
works 10 weeks

totally $14 \frac{hours}{week} \ *\ 10 weeks\ =\ 140\ hours$

earns $1,351

so $\frac{1,351}{140} \frac{\$}{h} =9,65$

He makes $9,65 per hour.

M

6 0

3 years ago

Point M is located at (7,1).

Charra [1.4K]

I think it is possibly point b

8 0

3 years ago