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3 years ago

Find the slope of the graph of the following: 9x - 3y =15 a. -3 b. 3 c. -1/3 d. 1/3 ***

2 answers:

7 0

To solve this you just need to convert this equation to slope intercept form to do this you just need to isolate y. To isolate -3y subtract 9x from both sides and your problem should look something like this 3y = -9x + 15 the -9 is the slope but you need to simplify that in order to do that divide both sides of the problem by 3 now your problem should look like this y = 3x + 5. The answer is B or positive 3

Vinil7 [7]3 years ago

4 0

the answer to your question is positive 3 (B)

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Which expression is equivalent to 1/4(2−5x+6) ? Please answer fast!

Alecsey [184]

If x=3 then 5x3=15-2=13+6=19x1/4=4 3/4 so that means that 2 1/4+2 1/2 could be equivalent

P.S.I just chose 3 because it was the first number to pop into my head
~Mathlete12321~

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3 years ago

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Use front-end estimation to estimate the sum. 13.3+2.8+5.6 a.about 20 b. about 23 c. about 22 d.about 25

poizon [28]

Answer:

C. About 22

Step-by-step explanation:

13.3 + 2.8 + 5.6

= 21.7

Since 21.7 is close to about 22, we can conclude that C is the final answer.

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4 years ago

The combined age of three relatives is 120 years. James is three times the age of Dan, and Paul is two time the sum of the ages

BaLLatris [955]

Answer:

Step-by-step explanation:

Let x represent Dan's age

3x be James'age

Paul 2(3x+x)=6x+2x

Suming all ages

x+3x+6x+2x=120

Solving for x

12x=120

x=10 (Dan's age)

3×=30 (James'age)

6×+2×=80(Paul's age)

8 0

4 years ago

Determine whether the following statements are True or False.

Stella [2.4K]

Answer:

1) False

2) False

3) True

4) False

Step-by-step explanation:

1) Flase, {v1,v2,v3, ..., vp} is a base for H when they span H and also they are linearly independent.

2) False. A single nonzero vector is linearly independent , not dependent. There is not null linear combination that gives 0 as a result involving that vector.

3) True, if the columns werent linearly independent, we could triangulate the matrix and obtain 0, so the matrix wouldnt be invertible. This means that the columns should be linearly independent for the matrix to be invertible and as a consecuence, they will spam a subspace of R^n of dimension n, which means that they will spam all R^n and therefore, they form a basis of R^n.

4) False. A basis is a spanning set that is as small as possible. Larger spanning sets will have extra elements apart from those who can form a base toguether. Those elements will make the set linearly dependent.

6 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

3 years ago

Read 2 more answers