All categories

2 years ago

8x-31 ≥-7

Mathematics

2 answers:

andreyandreev [35.5K]2 years ago

7 0

Answer:

8x-31 ≥-7=== X≥4.75

15+ x/2 >8=== X>14

x/-6+14≤9=== X≤30

-3≥4x+17===X≥5

-21<34-5x===X>11

Step-by-step explanation:

Vinvika [58]2 years ago

3 0

X>3 for the first one

You might be interested in

F(x) = e^-x . Find the equation of the tangent to f(x) at x=-1

natima [27]

Answer:

The <em>equation</em> of the tangent line is given by the following equation:

$\displaystyle y - \frac{1}{e} = \frac{-1}{e} \bigg( x - 1 \bigg)$

General Formulas and Concepts:

<u>Algebra I</u>

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate
y₁ - y coordinate
m - slope

<u>Calculus</u>

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]:
$\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)$

Derivative Rule [Basic Power Rule]:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

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

Step-by-step explanation:

*Note:

Recall that the definition of the derivative is the <em>slope of the tangent line</em>.

<u>Step 1: Define</u>

<em>Identify given.</em>

<em /> $\displaystylef(x) = e^{-x} \\x = -1$

<u>Step 2: Differentiate</u>

[Function] Apply Exponential Differentiation [Derivative Rule - Chain Rule]:
$\displaystyle f'(x) = e^{-x}(-x)'$
[Derivative] Rewrite [Derivative Rule - Multiplied Constant]:
$\displaystyle f'(x) = -e^{-x}(x)'$
[Derivative] Apply Derivative Rule [Derivative Rule - Basic Power Rule]:
$\displaystyle f'(x) = -e^{-x}$

<u>Step 3: Find Tangent Slope</u>

[Derivative] Substitute in <em>x</em> = 1:
$\displaystyle f'(1) = -e^{-1}$
Rewrite:
$\displaystyle f'(1) = \frac{-1}{e}$

∴ the slope of the tangent line is equal to $\displaystyle \frac{-1}{e}$ .

<u>Step 4: Find Equation</u>

[Function] Substitute in <em>x</em> = 1:
$\displaystyle f(1) = e^{-1}$
Rewrite:
$\displaystyle f(1) = \frac{1}{e}$

∴ our point is equal to $\displaystyle \bigg( 1, \frac{1}{e} \bigg)$ .

Substituting in our variables we found into the point-slope form general equation, we get our final answer of:

$\displaystyle \boxed{ y - \frac{1}{e} = \frac{-1}{e} \bigg( x - 1 \bigg) }$

∴ we have our final answer.

---

Learn more about derivatives: brainly.com/question/27163229

Learn more about calculus: brainly.com/question/23558817

---

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

Unit: Differentiation

3 0

1 year ago

What do you measurement of capacity?

balandron [24]

To measure the capacity of a container, you could use : cup, quarts, tablespoons, ounces, gallons and tablespoons.

7 0

2 years ago

Read 2 more answers

John and will ran for 6th grade class president. There were

Luden [163]

Answer:

John had 12 more votes than Will.

Step-by-step explanation:

36 students = 36 votes

John = 2*Will

Will = 1 vote

36/3 = 12

1 vote = Will
2 vote = Johm
2 vote = Will
4 vote = John
3 vote = Will
6 vote = John
6 vote = Will
12 vote = John
18 vote = Will
36 vote = John
12 vote = Will
24 vote = John

7 0

2 years ago

Read 2 more answers

Given MTWBGK, find the values of x and y.

Katarina [22]

Answer:

Step-by-step explanation:

<h2> soln</h2><h2> ( 4x-3)+41=180</h2><h2> 4x+38=180</h2><h2>4x=180-38</h2><h2> 4x=142 </h2><h2>divide 4 both side with make value of x</h2><h2>x=33</h2>

<h2> and value of y is</h2><h2> soln </h2><h2>11y+6+45=180</h2><h2>11y+51=180</h2><h2>11y=180-51</h2><h2>11y=129</h2><h2>divide 11 both side with make value of y</h2><h2> y=12 7/11 this is my answer</h2>

4 0

2 years ago

andriy [413]

Answer:

Its C

Step-by-step explanation:

The y starts at negative 3 and it is going up by 1 and over 2

Hope this Helped

3 0

2 years ago

Read 2 more answers