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3 years ago

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Which graph represents the solution set for the inequality StartFraction one-half EndFraction x is less than or equal to 18.x ≤

18? A number line from 0 to 10 in increments of 1. A point is at 9 and a bold line starts at 9 and is pointing to the right. A number line from 0 to 60 in increments of 6. A point is at 36 and a bold line starts at 36 and is pointing to the right. A number line from 0 to 10 in increments of 1. A point is at 9 and a bold line starts at 9 and is pointing to the left. A number line from 0 to 60 in increments of 6. A point is at 36 and a bold line starts at 36 and is pointing to the left.

2 answers:

Mrrafil [7]3 years ago

3 0

Answer:

A number line from 0 to 60 in increments of 6. A point is at 36 and a bold line starts at 36 and is pointing to the left. ⇒ last answer

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- <u><em>When solving an inequality, there are some important points:</em></u>

# If the inequality is x > a, then it represented on the number line by

a ray with empty small circle as end starts at a and pointed to

the right (⇒ ∞)

# If the inequality is x ≥ a, then it represented on the number line by

a ray with bold small circle as end starts at a and pointed to the

right (⇒ ∞)

# If the inequality is x < a, then it represented on the number line

by a ray with empty small circle as end starts at a and pointed to

the left (⇒ -∞)

# If the inequality is x ≤ a, then it represented on the number line by

a ray with bold small circle as end starts at a and pointed to the

left (⇒ -∞)

* <em>Lets solve the problem</em>

∵ 1/2 x ≤ 18

- Multiply both sides by 2

∴ x ≤ 36

- To represent it draw a number line from 0 to 60 and the counted

by 6 as 0, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

- Draw a ray with bold end starts at 36 and pointed to the left

∴ A number line from 0 to 60 in increments of 6. A point is at 36 and

a bold line starts at 36 and is pointing to the left.

snow_tiger [21]3 years ago

3 0

Answer:

its d my dudes

Step-by-step explanation:

2 years ago

thank you for keeping it simple.

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Given f(x) = 3x^2 + 2x – 1 and g(x) = 4x-5 find ( g of f) (-2)

pishuonlain [190]

Answer:

23

Step-by-step explanation:

Evaluate f(- 2) then substitute the value obtained into g(x)

f(- 2) = 3(- 2)² + 2(- 2) - 1 = 3(4) - 4 - 1 = 12 - 5 = 7 , then

g(7) = 4(7) - 5 = 28 - 5 = 23

7 0

2 years ago

Read 2 more answers

Help with 30 please. thanks.

Svet_ta [14]

Answer:

See Below.

Step-by-step explanation:

We have the equation:

$\displaystyle y = \left(3e^{2x}-4x+1\right)^{{}^1\! / \! {}_2}$

And we want to show that:

$\displaystyle y \frac{d^2y }{dx^2} + \left(\frac{dy}{dx}\right) ^2 = 6e^{2x}$

Instead of differentiating directly, we can first square both sides:

$\displaystyle y^2 = 3e^{2x} -4x + 1$

We can find the first derivative through implicit differentiation:

$\displaystyle 2y \frac{dy}{dx} = 6e^{2x} -4$

Hence:

$\displaystyle \frac{dy}{dx} = \frac{3e^{2x} -2}{y}$

And we can find the second derivative by using the quotient rule:

$\displaystyle \begin{aligned}\frac{d^2y}{dx^2} & = \frac{(3e^{2x}-2)'(y)-(3e^{2x}-2)(y)'}{(y)^2}\\ \\ &= \frac{6ye^{2x}-\left(3e^{2x}-2\right)\left(\dfrac{dy}{dx}\right)}{y^2} \\ \\ &=\frac{6ye^{2x} -\left(3e^{2x} -2\right)\left(\dfrac{3e^{2x}-2}{y}\right)}{y^2}\\ \\ &=\frac{6y^2e^{2x}-\left(3e^{2x}-2\right)^2}{y^3}\end{aligned}$

Substitute:

$\displaystyle y\left(\frac{6y^2e^{2x}-\left(3e^{2x}-2\right)^2}{y^3}\right) + \left(\frac{3e^{2x}-2}{y}\right)^2 =6e^{2x}$

Simplify:

$\displaystyle \frac{6y^2e^{2x}- \left(3e^{2x} -2\right)^2}{y^2} + \frac{\left(3e^{2x}-2\right)^2}{y^2}= 6e^{2x}$

Combine fractions:

$\displaystyle \frac{\left(6y^2e^{2x}-\left(3e^{2x} - 2\right)^2\right) +\left(\left(3e^{2x}-2\right)^2\right)}{y^2} = 6e^{2x}$

Simplify:

$\displaystyle \frac{6y^2e^{2x}}{y^2} = 6e^{2x}$

Simplify:

$6e^{2x} \stackrel{\checkmark}{=} 6e^{2x}$

Q.E.D.

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2 years ago

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erica [24]

Answer: if you’re talking about simplifying then it would be 2\5.

Step-by-step explanation: all you do is divide two on 4 and 10 and your simplified fraction would be 2/5

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3 years ago

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yKpoI14uk [10]

Answer:

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Step-by-step explanation:

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