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Tomtit [17]
3 years ago
11

Need help !!!Divide 5a^2 + 6a - 9 into 25a^4 + 19a^2 - a - 78.

Mathematics
1 answer:
lana [24]3 years ago
6 0
Hello,

Maybe i have not understood "into".

\dfrac{25a^4+19a^2-a-78}{5a^2+6a-9} =5a^2-6a+20+ \dfrac{-175a+102}{5a^2+6a-9}
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Convert the measurement as indicated.
grigory [225]

Answer:

7 gal 3 qt is 31 quarts.

Step-by-step explanation:

Given:

7 gal 3 qt to quarts.

Now, convert the measurement as indicated.

So, the value of 1 gallon = 4 quarts.

Thus , the 7 gal(gallons) = 7 × 4 = 28 quarts.

And 3 qt (quarts) = 3 × 1 = 3 quarts.

So,

7\ gal\ 3\ qt

=28 quarts+3 quarts

=31 quarts.

Therefore, 7 gal 3 qt is 31 quarts.

6 0
3 years ago
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A : 1/6 is the answer hope it helps
8 0
3 years ago
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What is the equation of a parabola with a focus (-2,4) and directrix y = 0?
Ronch [10]
The general form of a parabola  when using the focus and directrix is:
(x - h)² = 4p(y - k) where (h, k) is the vertex of the parabola and 'p' is distance between vertex and the focus.  We use this form due to the fact we can see the parabola will open up based on the directrix being below the focus.  Remember that the parabola will hug the focus and run away from the directrix.  The formula would be slightly different if the parabola was opening either left or right.

Given a focus of (-2,4) and a directrix of y = 0, we can assume the vertex of the parabola is exactly half way in between the focus and the directrix.  The focus and vertex with be stacked one above the other, therefore the vertex will be (-2, 2) and the value of 'p' will be 2.  We can now write the equation of the parabola:
(x + 2)² = 4(2)(y - 2)
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5 0
3 years ago
The U.S. Department of Housing and Urban Development publishes data on the fair market monthly rent for existing one-bedroom hou
Aleksandr [31]

Answer:

n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247

So the answer for this case would be n=247 rounded up to the nearest integer

Step-by-step explanation:

We know that the standard deviation is :

\sigma = 80 represent the deviation

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution and the critical value would be z_{\alpha/2}=1.960, replacing into formula (b) we got:

n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247

So the answer for this case would be n=247 rounded up to the nearest integer

8 0
3 years ago
Suppose that the relation H is defined as follows.
Norma-Jean [14]

Answer:

  • Domain = {-8, 2}
  • Range = {-2, -1, 7}

Step-by-step explanation:

The domain is the set of x values, and the range is the set of y values.

6 0
1 year ago
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