For each value of W,determine whether it is a solution to -8+4w ≤16.

The remaining zero of polynomial is (5 + i).

And, the linear factorization of the polynomial are;

(x - 2) (x - (5-i)) (x - (5 + i)).

What is Zeros of polynomial?

Zeroes of a polynomial are the points where the polynomial becomes zero.

Given that;

Zeroes of the polynomial are 2, 5 - i

Now, If one zero of polynomial is complex then another zero of the polynomial is its conjugate.

So, One root of polynomial = 5 - i

Then, The third zero of the polynomial = 5 + i

Thus, The polynomial are find as;

(x - 2) (x - (5-i)) (x - (5 + i)) = 0

So, The remaining zero of polynomial is (5 + i).

And, the linear factorization of the polynomial are;

(x - 2) (x - (5-i)) (x - (5 + i)).

Learn more about the complex roots visit:

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Answer:

Answer:

m=2

Step-by-step explanation:

you subtract the y-values (4-2) and put it as the numerator of a fraction than subtract the x-values (3-2) and put them as the denominator of the fraction. For this equation it would be

[tex]\frac{4-2}{3-2} = \frac{2}{1} = 2[/tex]

Answer:

Infinitely Many Solutions

Step-by-step explanation:

They are the same line so they cross each other infinitely many times.

If you picked a point on the first equation it would be the same point on the second equation.

Answer:

D) Infinitely many solutions

Step-by-step explanation:

Given the follwowing systems of linear equations, y = x + 2, and -3x + 3y = 6:

Transforming -3x + 3y = 6 into its slope-intercept form, y = mx + b:

-3x + 3y = 6

Add 3x to both sides:

-3x + 3x + 3y = 3x + 6

3y = 3x + 6

Divide both sides by 3:

[tex]\frac{3y}{3} = \frac{3x + 6}{3}[/tex]

y =  x + 2     ⇒ This is the slope-intercept form of -3x + 3y = 6.  Since they are equivalent equations, then it means that their graphed lines coincide. Since any point on either lines coincide (or also exists) on the other line, then it means that the solutions to one of the equations will satisfy the other. Therefore, the given systems of linear equations have an infinitely many solutions.  

Answer:

(i) David: Daniel: Dennis= 2: 3: 7

(ii) David, Daniel and Dennis will get £1000, £1500 and £3500 respectively.

Step-by-step explanation:

(i) Let the amount of money obtained by David, Daniel and Dennis be x, y and z pounds respectively.

x +y +z= 6000 -----(1)

y= 1.5x -----(2)

z= 3.5x -----(3)

Let's write the amount of money each gets in terms of x.

David --- x

Daniel --- 1.5x

Dennis --- 3.5x

In ratio, David: Daniel: Dennis

= 1: 1.5: 3.5

= 2: 3: 7

This is obtained by multiplying 2 throughout the ratio as ratio is its simplest form is in whole numbers and does not have decimals.

_______

(ii) Now that we know how the money is shared in terms of ratio, we can easily determine how much each of them receives.

Total amount of money= £6000

Total number of units

= 2u +3u +7u

= 12u

Thus, 12 units represents £6000.

12u ----- £6000

1u ----- £6000 ÷12= £500

Amount of money David will receive

= 2u

= 2(£500)

= £1000

Amount of money Daniel will receive

= 3u

= 3(£500)

= £1500

Amount of money Dennis will receive

= 7u

= 7(£500)

= £3500

Extra notes:

• Units are represented by the letter 'u' in the working. They can also be called parts and their value is in relation to the total amount. Thus if David gets 2 units of the total money, and the total amount is 12 units, he receives 2/12 or ⅙ of the total sum of money.

what upAnswer:

Step-by-step explanation:

Answer:

I can't read that...........

Answer:

Step-by-step explanation:

( 8x - 23 )° = ( 6x + 11 )°

2x = 34

x = 17

m ∠ J = ( 8(17) - 23 )° = 113°

m ∠ M = 180° - 113° = 67°

Explanation:

There are 4 shots that land on the green in this sample size. The height of the  bar tells us this directly.

Add up the heights of each bar to get 4+5+7+3+5 = 24 which is the total number of shots. The probability of landing on the green is 4/24 = 1/6 = 0.1667 = 16.67% approximately. This rounds to 17%

kabanayan ako to si nstog

Answer:

Step-by-step explanation:

Let the numbers are:

Since the sequence is arithmetic, the difference of two consecutive terms is same:

Therefore:

The sum of the first two equations:

Substitute (6 + 3d) with 2 (the third equation) to get:

Answer:

Step by step solution:

Step-by-step explanation:

Use the equation

[tex] \frac{x - x1}{y - y1} = m[/tex]

So plug in the numbers

[tex] \frac{ 2 + 2}{3 - 4} = \frac{4}{ - 1} = - 4[/tex]

So if y=mx+b and there is no intercept the equation would be

[tex]y = - 4x[/tex]

Answer:

(-4,-3)

Step-by-step explanation:

The point at which the two lines intersect each other will be the solution of the given system of equations . From the graph it cuts at ( -4,-3)

Answer:

( - 4, - 3 )

Step-by-step explanation:

The point is located in the III quadrant.

The nature of points in III quadrant is ( - x, - y )

So,

( - 4, - 3 ) is the correct answer.

Answer:

The answer is: (-3,3)

Answer: 15 7/8

Step-by-step explanation:

Add the whole numbers first 6+9 to getting 15

Now find the lowest common denominator for both the fractions. In this case it is 8.

3/8 would stay the same however 1/2 would become 4/8. 4/8 + 3/8 is 7/8.

15 add 7/8 is 15 7/8

Answer:

60 bags can be filled. ( 150 pounds / 2.5 pounds per bag = 60 bags)

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

150 pounds divid to 2.5pound

Answer:

I don't know I'm a dog arf arf

Answer:

and?

Step-by-step explanation:

Answer:$156

Step-by-step explanation: One year has 72 weeks in it. That means there's 26 weeks in half a year. If he gets a Gatorade three time each week that's 78 Gatorades.if each Gatorade costs two dollars then the dad would spend 156 dollars every half year.

Answer:

47.5 Meters

Step-by-step explanation:

Find where the derivative changes from positive to negative (local maximum)

h(t)=[tex]-6t^2+30t+10[/tex]

h'(t)=[tex]-12t+30[/tex]

Find where the derivative equals zero

Theres no spot where the derivative wont exist because its a polynomial.

-12t=-30

t=[tex]\frac{5}{2}[/tex]

Ill stop here because this is a parabola opening down and this is the only spot where there will be a horizontal tangent line so this is the x-coordinate of the vertex. AKA you don't need to test positive and negative on both sides.

Now plug into original equation

h(2.5)=[tex]-6(2.5)^2+30(2.5)+10[/tex]

=-37.5+75+10

=47.5

Answer:

Step-by-step explanation:

7/8 divided by 1/4

7/8 x 4/1 =7/2 = 3/1/2

Three and a half bags

Answer:

k =1

Step-by-step explanation:

3x + y = -7

      y = -3x - 7

m = -3

Parallel lines have same slope

[tex]Slope = -3\\\\\dfrac{8-[-1]}{-2-k}=-3\\\\\\\dfrac{8+1}{-2-k}=-3\\\\\dfrac{9}{-2-k} = -3[/tex]

Cross multiply,

9 = -3(-2-k)

9 = 6 + 3k

9-6 = 3k

3 = 3k

3/3 = k

k = 1

Answer:

2000

Step-by-step explanation:

Answer: 9,19

Range: The difference between the largest and smallest data in a data set.

nineteen (19) - nine (9) = 10 (which is equivelent to the given range 10)

Median: The value in a set that is most close to the middle of a range.

nine (9) and nineteen (19) the median would be 14

also, I needed more wording so it doesn't get taken down :(

Answer:

The answer is B) 432

Step-by-step explanation:

The 4 in 432 becomes a 3, because we can't subtract 6 from 3. The 3 becomes 13 and if we subtract 13 with 6... We get 7.

I got 0 with option B... With A I got 2 which is a remainder. With C I got 6.5 (repeating). And with D I got 7.77777777778.

Hence, B) 432 is the correct option.

Check screenshot of my work below.

(I forgot to include 48 on top of the division I just did. Don't mind that too much..)

A) 326

[tex] \frac{326}{9} [/tex]

[tex] = 36.2222222222 [/tex]

B) 432

[tex] \frac{432}{9} [/tex]

[tex] = 48[/tex]

C) 531

[tex] \frac{531}{9} [/tex]

[tex] = 59[/tex]

D) 630

[tex] \frac{630}{9} [/tex]

[tex] = 70[/tex]

so, the correct answer is option A.