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Elis [28]
3 years ago
10

Given f(x)=3x-1, solve for x when f(x)=-7.

Mathematics
1 answer:
ddd [48]3 years ago
8 0

Answer:

x = -2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x - 1

f(x) = -7

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute:                    -7 = 3x - 1
  2. Isolate <em>x</em> term:              -6 = 3x
  3. Isolate <em>x</em>:                       -2 = x
  4. Rewrite:                        x = -2
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djverab [1.8K]

The maximum height of the projectile is the maximum point that can be gotten from the projectile equation

The projectile reaches the maximum height after 5 seconds

The function is given as:

\mathbf{h(t) = -16t^2 + 160t}

Differentiate the function with respect to t

\mathbf{h'(t) = -32t + 160}

Set to 0

\mathbf{h'(t) = -32t + 160 = 0}

So, we have:

\mathbf{-32t + 160 = 0}

Collect like terms

\mathbf{-32t =- 160 + 0}

\mathbf{-32t =- 160}

Solve for t

\mathbf{t = \frac{- 160}{-32}}

\mathbf{t = 5}

Hence, the projectile reaches the maximum after 5 seconds

Read more about maximum values at:

brainly.com/question/6636648

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2 years ago
PLEASE HELP ME ASAP!!!!!
melisa1 [442]

Answer:

4.5

Step-by-step explanation:

7 0
3 years ago
The length of a rectangle is 4 units less than the width. The area of the rectangle is 21 units. What is the length, in units, o
bazaltina [42]

The formula of an area of a rectangle:

A = wl

We have l = w - 4 and A = 21.

Substitute:

w(w - 4) = 21       <em>use distributive property</em>

(w)(w) + (w)(-4) = 21

w² - 4w = 21     <em>subtract 21 from both sides</em>

w² - 4w - 21 = 0

w² - 7w + 3w - 21 = 0

w(w - 7) + 3(w - 7) = 0

(w - 7)(w + 3) = 0 ↔ w - 7 = 0 ∨ w + 3 = 0

w = 7 ∨ w = -3 < 0

l = w - 4 → l = 7 - 4 = 3

<h3>Answer: the length = 3 u.</h3>
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Use the point slope equation: y - y1 = m(x - x1)

(-1, -3); m = 4
Plug these numbers in.

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2 years ago
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3x + 6y = 12.
In standard form.

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2 years ago
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