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Len [333]
4 years ago
9

use the rational zeros theorem to write a list of all potential rational zeros of the function f(x)=3x^2 +39x^2+39x +27

Mathematics
1 answer:
ira [324]4 years ago
4 0

p=27\\ q=3\\\\ \dfrac{p}{q}=\dfrac{27}{3}=9

So, potential rational zeros are: \pm 1,\pm 3,\pm 9

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Aaron bought a new television that has a 92 in. 76 in. screen. It has a feature that splits the screen to allow him to watch 4 c
castortr0y [4]

Answer:

The scale factor is equal to 1/2

The dimensions of each channel when splits the screen is 46 in x 38 in

Step-by-step explanation:

we know that

The dimensions of the new television is 92 in x 76 in

Remember that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

A1 -----> the area of the new television

A2 ----> the area of each channel when splits the screen

z-----> the scale factor

z^{2} =\frac{A2}{A1}

we have that

The area of the new television is 4 times the area of each channel

A1=4A2

(A2/A1)=1/4

z^{2} =\frac{1}{4}

z=\frac{1}{2} -----> the scale factor

so

When splits the screen, the dimension of each channel is equal to

92/2 in x 76/2 in

so

46 in x 38 in

Remember, if two figures are similar then the scale factor is equal to the ratio of their corresponding sides

<em>Verify the value of the scale factor</em>

92/46=1/2

or

76/38=1/2

8 0
4 years ago
Problem PageQuestion Calcium levels in people are normally distributed with a mean of mg/dL and a standard deviation of mg/dL. I
SIZIF [17.4K]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The  calcium level that is the borderline between low calcium levels and those not considered low is  c = 8.68

Step-by-step explanation:

From the question we are told that

    The mean is  \mu =  9.5\  mg/dL

     The standard deviation \sigma =  0.5 \ mg/dL

    The proportion of the population with low calcium level is  p =5% = 0.05

Let X be a X random calcium level

  Now the  P(X < c) = 0.05

Here P denotes probability

        c is population with calcium level at the borderline

  Since the calcium level is normally distributed the z-value is  evaluated as

    P(Z < \frac{c - \mu}{\sigma } ) = 0.05

The critical value for 0.05 from the standard normal distribution table is

       t_{0.05} = -1.645

=>    \frac{c - \mu}{\sigma }  =  -1.645

substituting values

       \frac{c - 9.5}{0.5 }  =  -1.645

=>    c - 9.5 =  -0.8225

=>     c = 8.68

 

6 0
4 years ago
You said no 3.2 meters equal to 320 millimeters explain why isn't it eual
zimovet [89]
Because 1 meter is 1000 millimeters.
32 meters would be 32,000
But there is a decimal point in 3.2, so you would erase one 0.
So 3.2 meters=3,200 millimeters
4 0
3 years ago
Which of the following points is in the solution set of y &lt; x 2 - x - 6?
Georgia [21]
Y< X^-X-6

1. Solve the x first by factor.
2. X equals to (x-3)(x+2). X=3 or -2.
3. Looking at the problem, we see two similar answers with 3 and -2.
4. The correct answer is D, y=0. Because 0 is less than 3, choice A fails because y is greater than x.
4 0
3 years ago
Read 2 more answers
Ill give brainliest please help with this algebra!!
creativ13 [48]

Answer:

Each of these equations solves as 1, because each one of them is an instance of the same expression being divided by itself.

This will <em>always</em> give you a value of 1, as long as the denominator does not end up with a zero value.

Take for instance the third question:

\frac{p^4}{p^4}\\= p^4 \times p^{-4}\\= p^{(4 - 4)}\\= p^0\\= 1

This stands true with all three questions.

HOWEVER

I say this assuming that the 5 following the first brackets in the first question is meant to be an exponent, and not a multiple.  Given that the norm is to make any numeric multiples precede the brackets, I assume it is an exponent. and we're good.

It's not using superscript though, which could mean that they want it multiplied by five instead of raised to the power of.

If that's case, we can solve it the same way we solved question 20.  If the bases are the same, then when multiplying or dividing the terms, you can simply add or subtract the exponents respectively:

\frac{(4x + 2y)\times5}{(4x + 2y)^5}\\= 5(4x + 2y) \times (4x + 2y)^{-5}\\= 5(4x + 2y)^1 \times (4x + 2y)^{-5}\\= 5(4x + 2y)^{1 - 5}\\= 5(4x + 2y)^{-4}\\= \frac{5}{(4x + 2y)^{4}}

Again, this is probably not the correct answer for question 18, as that 5 is almost guaranteed to be meant as an exponent.  If it is instead a coefficient though, then this would be the answer to it.

8 0
3 years ago
Read 2 more answers
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