Quick Answers Please

Factor the expression completely over the complex numbers.<br><br> y^4+12y^2+36

Brums [2.3K]

Y⁴ + 12y² + 36
Now factorize the expression
y⁴ + 6y² + 6y² + 36
= y²(y² + 6) + 6(y² + 6)
= (y² + 6) (y² + 6)
<span>Now 6 is not the perfect square and according to rule, binomial can not be factored as the difference of two perfect squares.
</span>so multiply both.
(y² + 6)² is the answer.

7 0

3 years ago

Read 2 more answers

if you go out to eat with 3 friends and your meal was $72.50, there is 6.75% sales tax. how much should each person pay

pickupchik [31]

Answer:

$25.80

Step-by-step explanation:

First find the price of the meal with sales tax. Multiply 6.75% by $72.50.

72.50 * 0.0675 = 4.89

Add this value onto 72.50.

72.50 + 4.89 = 77.39

Divide this amount by 3.

77.39 / 3 = 25.7966...

Round this to the nearest hundredth because we're dealing with money.

$25.80 is how much each person should pay.

5 0

3 years ago

What are 5 numbers that have 3 ,5 and 7 as prime factors

Leya [2.2K]

The 5 number that have 3 ,5 and 7 as prime number are 23, 31, 37, 43, 53. and if you want there 57,47, 103.

4 0

3 years ago

Draw a diagram of the archway modeled by the equation y = -x2 + 5x + 24. Find and label the y-intercept and the

Delvig [45]

Answer:

Width of the archway at its base: 11 units, height of the archway at its highest point: 30.25 units.

Step-by-step explanation:

The graph that represents the equation $y = -x^{2} + 5\cdot x + 24$ is now sketched with the help of a graphing tool and whose representation is included in a file attached below. The point associated with x-intercepts are (-3, 0) and (8, 0) and the point associated with the highest point is (2.5, 30.25). The width of the archway at its base ( $\Delta x$ ) and the height of the archway at its highest point ( $\Delta y$ ) are, respectively:

$\Delta x = 8 - (-3)$

$\Delta x = 11$

$\Delta y = 30.25$

Width of the archway at its base: 11 units, height of the archway at its highest point: 30.25 units.

7 0

3 years ago

Which of the following describes the polynomial function ??? HELP

JulsSmile [24]

Answer:

B. The function has an even degree.

Step-by-step explanation:

We have been given an image of a polynomial function. We are asked to choose the correct options about our given polynomial.

A. The function has a negative leading coefficient.

Upon looking at our given graph, we can see that it is an upward opening parabola, so leading coefficient can't be negative, therefore, option A is not true.

B. The function has an even degree.

Upon at our given graph, we can see that it is symmetric to y-axis, therefore it has an even degree polynomial and option B is the correct choice..

C. The function has zero turning points.

Upon looking at our given graph, we can see that as function approaches towards 0 from negative infinity it is decreasing. As function increases positive infinity from 0, it is increasing, therefore, our function has a turning point at $x=0$ , therefore, option C is incorrect.

D. The function has one x-intercept.

Since our function never intersects x-axis, therefore, function has no x-intercept and option D is incorrect as well.

6 0

3 years ago