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3 years ago

Which binomials below is a factor of this trinomial 5x^2-5x-100

1 answer:

34kurt3 years ago

3 0

We are asked to determine the correct factorization of the given trinomial which is 5x² - 5x -100. The solution to this problem is shown below:
5x² - 5x - 100 let the problem equal to zero such as:
5x² - 5x - 100 = 0 , factor out 5 from the given trinomial
5(x²-x-20) = 0
5 (x-5)(x+4) = 0

The correct factor is 5(x-5)(x+4).

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(9/89)x490+324<br> Please help

Likurg_2 [28]

Answer:

(9/89)×490+324=
9/89×490=
4410/89+324=?

6 0

3 years ago

Read 2 more answers

Find the dimensions of the rectangle with area 289 square inches that has minimum perimeter, and then find the minimum perimeter

nalin [4]

<span>To minimize the perimeter you should always have a square.
sqrt(289) = 17
The dimensions should be 17 X 17

To see , try starting at length 1, and gradually increase the length.
The height decreases at a faster rate than the length increases, up until you reach a square.

Or if you want to use algebra, Say the width is 17-x
Then the length is 289/(17-x)

Now, this is bigger than 17+x, as shown here:
289/(17-x) > 17+x
289 > 289 - x^2
which is true.
so the perimeter would be bigger than 2 * (17- x + 17 + x) = 2 * (2 * 17) = 4 * 17

Again, the dimensions should be a square. 17 X 17.</span>

4 0

3 years ago

Use the equation

Cerrena [4.2K]

Answer:- The pressure 'p' will be infinity at volume 'V'=0.

Explanation:-

The given equation :- $p=\frac{8.31}{V}$ where p is a rational function dependent on V.

A rational function is undefined for denominator = 0.

In the given function V is the denominator , if V=0 then the function will be undefined.

⇒ p will approach to zero at V=0.

For assistance see the attachment , the graph of the given function represented by vertical assymptote which approaches to 0 but never touches it..

7 0

2 years ago

Read 2 more answers

Which graphs have rotational symmetry? Check all of the boxes that apply.

ivanzaharov [21]

Answer:

The correct option are;

On a coordinate plane, a cubic function has an x-intercept of (0, 0)

On a coordinate plane, an oval is in quadrant 1

Step-by-step explanation:

Rotational symmetry of a shape is a shape that when it is rotated on its axis to a given angle less than one complete revolution, the shape looks exactly like the pre-image or original appearance of the shape

For a cubic function that has x-intercept = (0, 0) we have;

y = f(x) = a·x³ + b·x² + c·x

Has the shape f a fan blade and therefore, looks the sane when rotated when rotated through 180°

The shape of an oval looks the same when rotated through 180°

8 0

3 years ago

Read 2 more answers

Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. A vending m

Anuta_ua [19.1K]

Answer:

A) 1.96%

Step-by-step explanation:

You need to know the band between 5.48 g and 5.82 g, the mean is 5.67 g and the standard deviation is .0.070 g, with that information you can calculate the percentage to the left of the mean and the percentage to the right of the mean and add them.

To know its percentage you have to calculate the z score for both values.

$z = \frac{x-\mu}{\sigma}$

x is the value being evaluated

μ is the mean

σ is the standard deviation

For 5.48 g:

$z = \frac{5.48-5.67}{0.070} =-2.714$

and is equivalent to 0.0034

For 5.82 g:

$z = \frac{5.82-5.67}{0.070} = 2.143$

and is equivalent to 0.9838

Those numbers mean that the percentage below 5.48 is equivalent to the 0.34% of the values and the percentage below 5.82 is equivalent to 98.38% of the values. Then the percentage rejected is the percentage above 5.82, 100 - 98.38 = 1.62% plus the percentage below 5.48, 0.34%.

Percentage rejected = 1.62% + 0.34% = 1.96%

7 0

3 years ago