As an estimation we are told 5 miles is 8 km covert 12 km to miles

Cristina has completed .4 of his test. The test has 40 questions total. if he completes 12 more how many more will he have left?

katrin [286]

4 + 12 = 16

40 - 16

24

6 0

3 years ago

Given the polynomial 2x3 18x2 − 18x − 162, what is the value of the constant 'k' in the factored form? 2x3 18x2 − 18x − 162 = 2(

oee [108]

The value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

<h3>What is polynomial equation?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation in the problem is,

$2x^3 +18x^2 - 18x - 162$

The factor of the polynomial equation are given as,

$2(x+ k)(x - k)(x +9)$

First find out the factors to compare and find the value of k.The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 2, which can divide each term of the above equation (2, 18, -18, -162). Thus,

$2(x+ k)(x - k)(x +9)=2(x^3 +9x^2 - 9x - 81)$

Take out the highest common factor to make the groups as,

$2(x+ k)(x - k)(x +9)=2(x^2( x+9) - 9(x + 9))\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 9)\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 3^2)$

Use the property of difference of the square for the (x²-3²) term as,

$2(x+ k)(x - k)(x +9)=2( x+9) (x+3)(x-3)\\2(x+ k)(x - k)(x +9)=2 (x+3)(x-3)( x+9)$

On comparing the two equation, we get the value of k as 3. Thus, the value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

Learn more about factor of polynomial here;

brainly.com/question/24380382

7 0

1 year ago

What is the best way to simplify 7x + 3(x - 2) - 4x + 8

Romashka-Z-Leto [24]

7x+3(x-2)4x+8=
<span>
Distributive property
7x + 3x - 6 -4x + 8
Combining like terms
10x - 6 -4x + 8
6x - 6 + 8
Combine numbers
6x + 2 </span>

Hope i helped:D

5 0

3 years ago

Read 2 more answers

A two digit number when read from left to right to right consiststs of consecutive integers. the nmber is six more than for time

Solnce55 [7]

I suppose you want to know such number. Since we have a two digit number consisting of two consecutive integers, the only possible numbers are:

$12,23,34,45,56,67,78,89$

Since we sorted all the cases out, we simply have to check which one satisfies the requirement. For each number, we'll write four times the the sum of its digits, and add 6, hoping to get the original number.

$\text{Number: } 12,\ \ 4\times \text{sum of digits: } 12\ \ \text{plus six: } 18\neq 12$

$\text{Number: } 23,\ \ 4\times \text{sum of digits: } 24\ \ \text{plus six: } 30\neq 23$

$\text{Number: } 34,\ \ 4\times \text{sum of digits: } 28\ \ \text{plus six: } 34$

So, the answer is 34.

3 0

3 years ago

Find domain and range -√x-5+10

inysia [295]

When finding the domain of a square root, you have to know that it is impossible to get the square root of 0 or any negative number. since domain is possible x values this means that x cannot be 0 or any number less than 0. However, you can find the square root of the smallest most infinitely small number greater than 0. since an infinitely small number close to zero can not be written out, we must must say that the domain starts at 0 exclusive. exclusive is represented by an open or close parenthesis so in this case the domain starts with:
(0,
we can get the square root of any number larger than 0 up to infinity but infinity can never be reached so it is also exclusive. So so the ending of our domain would be:
,infinity)
So the answer if the square root is only over the x the answer is
(0, infinity)

But if the square root is over the x- 5 then this would brIng a smaller amount of possible x values. since anything under the square root sign has to be greater than 0, you can say that:
(x - 5) > 0
x > 5
Therefore the domain would start at 5 and the answer would be:
(5, infinity)

8 0

3 years ago