Ask question

Ask question

All categories

oksano4ka [1.4K]

3 years ago

8

Your cell phone bill is $35 a month and $0.05 cents per text message. What is the linear equation, in slope-intercept form, that

represents your bill for one month?
y = 35x - 0.05

y = 35x + 0.05

y = 0.05x - 35

y = 0.05x + 35

1 answer:

Phantasy [73]3 years ago

3 0

Answer:

y=35x+0.05

Step-by-step explanation:

You might be interested in

Can these side lengths make a triangle 12,13,7 ?<br> yes<br> no<br> are in possible

notsponge [240]

Answer: I think it’s yes?

3 0

3 years ago

Slope 1/3 passing through the points (-3,-4)

saw5 [17]

Answer:

y=1/3x-3

Step-by-step explanation:

use the eqation y-y1 = m(x-x1)

plug in slop as m and points as x and y

so now you have --> y-(-4)=1/3(x-(-3))

two negatives = a positive --> y+4=1/3(x+3)

distribute the 1/3 --> y+4= 1/3x + 1

subtract 4 from both sides --> y= 1/3x - 3

6 0

3 years ago

Geometry arc measure problem

nlexa [21]

Answer:

19° I'm not completely sure but I think this is it

6 0

3 years ago

Corey is out on the roads doing a long run, and also doing some mental calculations at the same time. corey's pace is 3 strides

amm1812

A. 352 seconds or 5 minutes 52 seconds.
B. 320 seconds or 5 minutes and 20 seconds
C. 27687 steps
There are 5280 feet per mile. In A, 3 strides per second at 5 feet gives us 15 ft per second. 5280/15 = 352 seconds. In B, 3 strides per second at 5.5 feet gives us 16.5 feet per second. 5280/16.5 = 320 seconds. In C, we calculate the total feet to divide by 5 per step. multiply 26 miles by 5280 to get feet per mile and multiply 385 by 3 to get the feet per yard. Add them together. then divide by 5. 26(5280) + 385(3) =138435. 138435/5 = 27687 steps

8 0

3 years ago

Implicit differentiation Please help

Anvisha [2.4K]

Answer:

$y''(-1) =8$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

<u>Algebra I</u>

Factoring

<u>Calculus</u>

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:

<u>Step 1: Define</u>

-xy - 2y = -4

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

<u>Step 2: Differentiate Pt. 1</u>

<em>Find 1st Derivative</em>

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

<u>Step 3: Find </u><em><u>y</u></em>

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

<u>Step 4: Rewrite 1st Derivative</u>

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

<u>Step 5: Differentiate Pt. 2</u>

<em>Find 2nd Derivative</em>

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: $y'' = \frac{8}{(x+2)^3}$

<u>Step 6: Find Slope at Given Point</u>

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

6 0

3 years ago

Read 2 more answers