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2 years ago

HelppppI need help this benchmark

Mathematics

2 answers:

Anestetic [448]2 years ago

7 0

I think it’s B but I’m not for sure tho sorry if you get it wrong

serious [3.7K]2 years ago

3 0

Answer:

A: -6.5

Step-by-step explanation:

Take two points that we already know are on the line and find the slope

I used:

(4, -10) and (7, -30)

X1 (first x coordinate): 4

Y1 (first y coordinate): -10

X2 (second x coordinate): 7

Y2 (second y coordinate): 30

These appear to be exactly on the graph at a certain point along the line. We can't choose a coordinate pair that isn't on the line at an exact point.

Use (Y2-Y1)/(X2-X1)

(-30-(-10))/(7-4) = (-30 + 10)/3 = -20/3 = approximately -6.67.

The closest answer to that is A.

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An investor has purchased 1,000 shares of stock at a price of $10 per share. The stock pays no dividends, and historically has a

Pani-rosa [81]

Answer:

Step-by-step explanation:

Here, we want to select which of the options explains the scenario in the question.

Firstly, 1,000 shares were purchased at $10 per share.

Mathematically the total amount of shares bought will be 10 * 1000 = $10,000

Also, we have the growth rate as 12.5% = 12.5/100 = 0.125

Thus, representing the scenario with a function, we have;

A(t) = 10,000 e0.125t

5 0

3 years ago

Implicit differentiation Please help

Anvisha [2.4K]

Answer:

$y''(-1) =8$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Factoring

Calculus

Implicit Differentiation

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Product Rule: $\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Quotient Rule: $\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}$

Step-by-step explanation:

Step 1: Define

-xy - 2y = -4

Rate of change of the tangent line at point (-1, 4)

Step 2: Differentiate Pt. 1

Find 1st Derivative

Implicit Differentiation [Product Rule/Basic Power Rule]: $-y - xy' - 2y' = 0$
[Algebra] Isolate y' terms: $-xy' - 2y' = y$
[Algebra] Factor y': $y'(-x - 2) = y$
[Algebra] Isolate y': $y' = \frac{y}{-x-2}$
[Algebra] Rewrite: $y' = \frac{-y}{x+2}$

Step 3: Find y

Define equation: $-xy - 2y = -4$
Factor y: $y(-x - 2) = -4$
Isolate y: $y = \frac{-4}{-x-2}$
Simplify: $y = \frac{4}{x+2}$

Step 4: Rewrite 1st Derivative

[Algebra] Substitute in y: $y' = \frac{-\frac{4}{x+2} }{x+2}$
[Algebra] Simplify: $y' = \frac{-4}{(x+2)^2}$

Step 5: Differentiate Pt. 2

Find 2nd Derivative

Differentiate [Quotient Rule/Basic Power Rule]: $y'' = \frac{0(x+2)^2 - 8 \cdot 2(x + 2) \cdot 1}{[(x + 2)^2]^2}$
[Derivative] Simplify: $y'' = \frac{8}{(x+2)^3}$

Step 6: Find Slope at Given Point

[Algebra] Substitute in x: $y''(-1) = \frac{8}{(-1+2)^3}$
[Algebra] Evaluate: $y''(-1) =8$

6 0

2 years ago

Read 2 more answers

What is the equation of a line with a slope of -2 that passes through the point (6, 8)?

iren [92.7K]

Answer:

2x + y = 20

Step-by-step explanation:

gradient = -2

x = 6, y = 8

y - 8 = -2(x - 6)

y - 8 = -2x + 12

2x + y = 12 + 8

2x + y = 20

6 0

2 years ago

Read 2 more answers

Aida owns a brick house in the country worth $95,000, and the contents of

Lostsunrise [7]

Answer: A. 673.50

Step-by-step explanation:

6 0

2 years ago

Write the percent as a decimal and as a fraction.

Xelga [282]

To write 215% as a decimal you can approach the problem two ways. You can divide 215 by 100. 215/100 = 2.15 You can also move the decimal two places to the left 215.0 = 2.15 To write 2.15 as a fraction you will place 215 over 100. {215/100}. You will then want to write this fraction in it’s simplest form. The greatest common denominator is 5 so you will then divide the numerator and denominator by 5. 215/5 = 43 100/5 = 20 215/100 = 43/20 To write this fraction as a mixed fraction you would divide 43 by 20. 43 ÷ 20 = 2 with a remainder of 3 This is written as: 2 3/20

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2 years ago