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2 years ago

Factor completely 2x2 − 18. Prime 2(x2 − 9) 2(x 3)(x − 3) 2(x 3)(x 3).

Mathematics

1 answer:

Law Incorporation [45]2 years ago

6 0

By using identity we got the factorization form of $2x^2-18$ as

$2(x-3)(x+3)$

<h3>What is factorization?</h3>

factorization is a way of writing any expression in form of product of some expressions

Given polynomial

$2x^2-18$

We can factorize it as

$2x^2-18\\\\2(x^2-9)\\\\2(x^2-3^2)\\\\2(x-3)(x+3)$

By using identity we got the factorization form of $2x^2-18$ as

$2(x-3)(x+3)$

To learn more about factorization visit :brainly.com/question/25829061

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1. The sum of x and -45 is at most 35

Lorico [155]

Answer:

The given set of equation are: x+ (-45) ≤ 35 , x - (-45) ≥ 35

For the given equality to be true, x ≤ 35

Step-by-step explanation:

Here, given the first number = x

Second number = -45

Now, Sum of x and - 45 is at most 35.

⇒ x+ (-45) ≤ 35

Also, The difference of x and -45 is at least 35.

⇒ x - (-45) ≥ 35

Now, simplifying the given set of equations:

x - 45 ≤ 35 ⇒ -x - (-45) > - 35 ( as 3 < 4 ⇒ -3 > -4)

or, -x + 45 > - 35

and second equation is x + 45 ≥ 35

Now, solving both the equations by not taking sign of inequality in to the consideration, we get

x - 45 = 35

x + 45 = 35

Adding both equations,we get: ⇒ 2x = 70

or x = 35

Hence for the given equality to be true, x ≤ 35

5 0

3 years ago

Jon has to pay $7.50 admission for the skating ring and $1.50 per hour to rent rollerblades.write an equation for the cost (y) b

e-lub [12.9K]

Here is one equations.

y = 1.50x + 7.50

7 0

3 years ago

The function Q(x)=2x^2-kx+18. For what value of k does Q(x) have one distinct real solution? (NEEDS TO BE DONE WITHIN 2 HOURS!)

Aliun [14]

Answer:

k = 12

Step-by-step explanation:

Given:

The equation $Q(x)=2x^2-kx+18$

To find:

Value of $k = ?$ for which the given equation has one distinct real solution.

Solution:

The given equation is a quadratic equation.

There are always two solutions of a quadratic equation.

For the equation: $ax^{2} +bx+c=0$ to have one distinct solution:

$b^2 - 4ac = 0$

Here,

a = 2,

b = -k and

c = 18

Putting the values, we get:

$(-k)^2 - 4\times 2\times 18 = 0\\\Rightarrow k^2 = 18\times 8\\\Rightarrow k^2 =144\\\Rightarrow k = 12$

The equation becomes:

$Q(x)=2x^2-12x+18$

And the one root is:

$2(x^2-6x+9 ) = 0\\\Rightarrow 2(x-3)^2=0\\\Rightarrow x = 3$

4 0

3 years ago

Correct answer gets brainlest, The answer is not 14-16 i already tried it

Leokris [45]

Answer:

its 11

Step-by-step explanation:

the mode is the difference between the highest and lowest date input

19-8=11

6 0

3 years ago

Read 2 more answers

You work as a quality control inspector of shirts for a clothing manufacturing company. Today you examine one batch and 15% fail

Otrada [13]

Answer:

23%

Step-by-step explanation:

To find how many failed inspection, add together all the percentages:

15 + 5 + 3

= 23

So, 23% of the products failed inspection

5 0

2 years ago