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3 years ago

Write the solution in interval notation {x| 3 less than or equal to x}

Mathematics

2 answers:

Travka [436]3 years ago

8 0

Answer:[3,~)

Step-by-step explanation:

klemol [59]3 years ago

4 0

Answer:

Set in Interval Notation is: [ 3, ∞)

Step-by-step explanation:

Here, the given expression is:

R = {x| 3 less than or equal to x}

Here, the given set is given in the ROSTER FORM of set.

Now, converting the statement in mathematical form, we get:

R = { x : 3 ≤ x}

So, here: R is the SET OF AL ELEMENTS SUCH THAT each element is either EQUAL TO 3, or GREATER THAN 3.

Writing the st in SET BUILDER FORM, we get:

R = { 3, 4, 5, 6, ....... }

So, R in Interval Notation is: [ 3, ∞)

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Sammi bought 2dozen valentines. How many valentines did sammi have left after giving 7/8 of them to her classmates

Ierofanga [76]

Dozen = 12

2 dozen

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7/8 of 24

24 / 8 = 3
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24- 21= 3

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3 years ago

The maximum value of 12 sin 0-9 sin²0 is: -

jeka57 [31]

Answer:

Step-by-step explanation:

The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)

If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0

However, I will assume you meant the angle to be $\theta$ rather than 0 which makes sense and proceed accordingly

We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0

The original function is

$f(\theta) = 12sin(\theta) - 9 sin^2(\theta)$

Taking the first derivative of this with respect to $\theta$ and setting it equal to 0 lets us solve for the maximum (or minimum) value

The first derivative of $f(\theta)$ w.r.t $\theta$ is

$12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right)$

And setting this = 0 gives

$12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right) = 0$

Eliminating $cos(\theta)$ on both sides and solving for $sin(\theta)$ gives us

$sin(\theta) = \frac{12}{18} = \frac{2}{3}$

Plugging this value of $sin(\theta)$ into the original equation gives us

$12(\frac{2}{3}) - 9(\frac{4}{9} ) = 8 - 4 = 4$

This is the maximum value that the function can acquire. The attached graph shows this as correct

3 0

2 years ago

Ve, Carpet sells for $36 per square yard. How much will 8 square yards cost?

grandymaker [24]

Answer:

$288

Step-by-step explanation:

If each square yard of carpet is $36, you just have to multiply 8 by that to get the total.

4 0

3 years ago

Read 2 more answers

What is another expression that is equivalent to 12-16x

sergij07 [2.7K]

4(3-4x) . This is solved by factoring a 4 out of the equation. Distributing the 4 in the answer will provide the same equation as the one questioned.

5 0

3 years ago

5 3/2 x 3 6/7 you have 10 point to do the answer

pogonyaev

Step-by-step explanation:

Conversion a mixed number 5 3/2

to an improper fraction: 5 3/2 = 5 3/2

= 5 · 2 + 3/2

= 10 + 3/2

= 13/2

To find a new numerator:

a) Multiply the whole number 5 by the denominator 2. Whole number 5 equally 5 * 2/2

= 10/2

b) Add the answer from previous step 10 to the numerator 3. New numerator is 10 + 3 = 13

c) Write a previous answer (new numerator 13) over the denominator 2.

Five and three halfs is thirteen halfs

Conversion a mixed number 3 6/7

to an improper fraction: 3 6/7 = 3 6/7

improper fraction: 3 6/7 = 3 6/7

3 · 7 + 6/7 = 21 + 6/7 =27/7

To find a new numerator:

a) Multiply the whole number 3 by the denominator 7. Whole number 3 equally 3 * 7/7

= 21/7

b) Add the answer from previous step 21 to the numerator 6. New numerator is 21 + 6 = 27

c) Write a previous answer (new numerator 27) over the denominator 7.

Three and six sevenths is twenty-seven sevenths

Multiple:

13/2 * 27/7 = 13/2 · 27/7 = 351/14

3 0

2 years ago