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sukhopar [10]
3 years ago
14

5x^{4}-7x^{3}-5x^{2}+5x+1-0

Mathematics
1 answer:
den301095 [7]3 years ago
7 0

Answer:

5x^4 -7x^3-5x^2+5x+1

Step-by-step explanation:

Hey!

You would just add all the numbers up, and by making sure that you combine all like terms. In this case it is just 1-0 = 1 and so the solution would be the same as your question but with a 1 and you would get rid of the -0.

Hope this helps!

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Write the equation of a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2(sqrt5)
Xelga [282]

Answer:

\frac{x^2}{16}-\frac{b^2}{4}=1

Step-by-step explanation:

A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.

The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:

\frac{x^2}{a^2}-\frac{y^2}{b^2}=1

The coordinates of the foci is at (±c, 0), where c² = a² + b²

Given that  a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:

\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\\\frac{4^2}{a^2}-\frac{0}{b^2} =1\\\frac{4^2}{a^2}=1\\ a^2=16\\a=\sqrt{16}=4\\ a=4

The foci c is at +/-2√5, using c² = a² + b²:

c^2=a^2+b^2\\(2\sqrt{5} )^2=4^2+b^2\\20 = 16 + b^2\\b^2=20-16\\b^2=4\\b=\sqrt{4}=2\\ b=2

Substituting the value of a and b to get the equation of the hyperbola:

\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\\\\\frac{x^2}{16}-\frac{b^2}{4}=1

5 0
3 years ago
Jimmy invests $500 in an account with a 3% interest rate, making no other deposits or withdrawals. What will Jimmy’s account bal
Anastaziya [24]

Answer:

Jimmy's account balance will be $673.43 after 10 years.

Step-by-step explanation:

The compound interest formula is given by:

A = P(1 + \frac{r}{n})^{nt}

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

P = 500, r = 0.03, n = 2, t = 10

What will Jimmy’s account balance be after 10 years if the interest is compounded 2 times each year?

A = P(1 + \frac{r}{n})^{nt}

A = 500(1 + \frac{0.03}{2})^{2*10} = 673.43

Jimmy's account balance will be $673.43 after 10 years.

4 0
3 years ago
In a file of 10 records with 2 errors, 5 are examined. Let the random variable be the number of errors.​
emmasim [6.3K]
Jasjjhahahahwhwjwjwjwj
8 0
3 years ago
1. A solid is 4 cm tall, 5 cm wide and 3 cm thick. It has a mass of 120 g. What is its density?
masha68 [24]
V = (4cm)(5cm)(3cm) = 60 cm³
M = 120g

<u><em>Density = M/V = (120g)/(60cm³) = 2 g/cm³</em></u>
8 0
4 years ago
EXPLANATION?????
crimeas [40]

Answer:

Hello! answer: x = 19

Step-by-step explanation:

This is a supplementary angle! So it will add up to 180 degrees 180 - 123 = 57 so we know something multiplied by 3 will equal 57 and 19 × 3 = 57 so x = 19 Hope this is a good explanation!

4 0
3 years ago
Read 2 more answers
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