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3 years ago

Write 6600 as a product of its prime factors. (show your working out)

Mathematics

1 answer:

dem82 [27]3 years ago

8 0

Answer: 2 × 3 × 5 × 11 = 330.

Step-by-step explanation: Since, the prime factors of 6600 are 2, 3, 5, 11. Therefore, the product of prime factors = 2 × 3 × 5 × 11 = 330.

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Given the functions k(x) = 2x2 − 7 and p(x) = x − 4, find (k ∘ p)(x). (k ∘ p)(x) = 2x2 − 8x 16 (k ∘ p)(x) = 2x2 − 16x 32 (k ∘ p)

never [62]

Function represents a relationship between variables. The product of the two given functions (k·p)(x) is 2x³-8x²-7x+28.

<h3>What is Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given to us

k(x) = 2x² − 7

p(x) = x − 4

As the two equations are given to us, k(x) and p(x), and we need to find (k ∘ p)(x), And we know the product of two functions can be written as,

$(k \cdot p)(x) = k(x) \cdot p(x)$

therefore,

$k(x) \cdot p(x)\\\\= (2x^2-7)(x -4)\\\\= 2x^3 - 8x^2 - 7x +28$

Hence, the product of the two given functions (k·p)(x) is 2x³-8x²-7x+28.

Learn more about Function:

brainly.com/question/5245372?referrer=searchResults

7 0

2 years ago

Using the point-slope formula, what is the equation of the line that passes through the points (1,5) and (0, 0)?

DerKrebs [107]

Answer:

y =5x

Step-by-step explanation:

$y_{1}-y_{2} = m(x_{1} - x_{2} )$

(5 - 0) = m(1 - 0)

5 = m(1)

5 = m

$y_{1}-y_{2} = m(x_{1} - x_{2} )$

y - 5 = 5(x - 1)

y - 5 = 5x - 5

y = 5x -5 + 5

y = 5x

7 0

3 years ago

At a display booth at an amusement park, every visitor gets a gift bag. Some

kotegsom [21]

The bag will often contain all three items every 70 bags ⇒ answer C

Step-by-step explanation:

At a display booth at an amusement park, every visitor gets a gift bag

according to these information:

1. Hat Every 2nd visitor

2. T-shirt Every 7th visitor

3. Backpack Every 10th visitor

We need to know how often a bag will contain all three items

To solve this problem you must find a number divisible by 2, 7, and 10

To find that number start with the multiples of the largest one and

check them with the other two numbers

∵ The largest number is 10

∵ The multiples of 10 are 10 , 20 , 30 , 40 , 50 , 60 , 70 , 80 , .......

- Look for the first multiple of 10 is divisible by 7

∵ 70 is the first multiple of 10 divisible by 7

∵ 70 is divisible by 2 because its even number

∴ 70 is the smallest number divisible by 2, 7 and 10

The bag will often contain all three items every 70 bags

Learn more:

You can learn more about numbers in brainly.com/question/537998

#LearnwithBrainly

4 0

3 years ago

What is the quotient 8 x 4 − 12 x 2 − 16 x 4 x , where x ≠ 0 ?

Nat2105 [25]

Answer:

that = 8 and if you want to see more you can go on

5 0

3 years ago

4x square+ 8 x - 5=0<br><img src="https://tex.z-dn.net/?f=4%20%7Bx%7D%5E%7B2%7D%20%20%2B%208x%20-%205%20%3D%200" id="TexFormula1

Damm [24]

Answer:

$x = \frac{1}{2}$

$x = -\frac{5}{2}$

Step-by-step explanation:

Solve Using the Quadratic Formula

4x^2 + 8x − 5 = 0

Use the quadratic formula to find the solutions.

−b ± √b^2 − 4 (ac)

-------------------------

Substitute the values a = 4, b = 8, and c = −5 into the quadratic formula and solve for x.

−8 ± √82 − 4 ⋅ (4 ⋅ −5)

-------------------------

2 ⋅ 4

Simplify the numerator.

Raise 8 to the p ower of 2.

−8 ± √64 − 4 ⋅ 4 ⋅ −5

x= ---------------------------

2 ⋅ 4

Multiply −4 by 4.

−8 ± √64 − 16 ⋅ −5

x = -------------------------

2 ⋅ 4

Multiply −16 by −5.

−8 ± √64 + 80

x = -------------------

2 ⋅ 4

Add 64 and 80.

−8 ± √144

x = --------------

2 ⋅ 4

Rewrite 144 as 12^2.

−8 ± √122

x = ------------

2 ⋅ 4

Pull terms out from under the radical, assuming positive real numbers.

multiply 2 by 4

−8 ± 12

x= ------------

simplify

−2 ± 3

x= ---------

The final answer is the combination of both solutions.

x= 1/2, -5/2

Hope this helped!

6 0

3 years ago

Read 2 more answers