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2 years ago

Question 19 of 25

Mathematics

1 answer:

klemol [59]2 years ago

4 0

Quadratic equations are equation that has degree of 3. The value of x from the quadratic equation is 3

<h3>Factorizing the quadratic equation</h3>

Quadratic equations are equation that has degree of 3. Given the following equation;

5x²-11x = 1

Equate to zero

5x²-11x - 1 = 0

Find the solution using quadratic solution

$x=\frac{11\pm\sqrt{121-4(5)(-1)}}{2(5)}\\x=\frac{11\pm\sqrt{141} }{10} \\x=\frac{11\pm11.87 }{10} \\x=\frac{22.87}{18}\\ x\approx 3$

Hence the value of x from the quadratic equation is 3

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Determine, to the nearest tenth of a year, how long it would taken an investment to double at a 3 3/4% interest rate, compounded

Stella [2.4K]

Based on the interest rate and continuous compounding, the investment would double in value after 18.5 years.

We have given that,

investment to double at a 3 3/4% interest rate,

<h3>When will the investment double in value?</h3>

The future value using continuous compounding is:

= Amount x e ^ (rate x time)

Interest is

= 3.75%

<h3>What is the formula of an exponential function?</h3>

2 = e ^ (0.0375 x time)

In2 = 0.0375 x time

t = In2 / 0.0375

t= 18.5 years

To learn more about the compounded continuously visit:

brainly.com/question/16731646.

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7 0

1 year ago

What’s the answer ?

Misha Larkins [42]

Answer:

3 one ofx+2 And 4th one x4

6 0

2 years ago

which of the following expresses the coordinates of the foci of the conic section shown below? (x-2)^2/4+(y+5)^2/9

elena55 [62]

Step-by-step explanation:

$\frac{(x - 2) {}^{2} }{4} + \frac{(y + 5) {}^{2} }{9} = 1$

This is the equation of the ellipse. Since the denominator is greater for the y values, we have a vertical ellipse. Remember a>b, so a

The formula for the foci of the vertical ellipse is

(h,k+c) and (h,k-c).

where c is

Our center (h,k) is (2, -5)

${c}^{2} = {a}^{2} - {b}^{2}$

Here a^2 is 9, b^2 is 4.

${c}^{2} = 9 - 4$

${c}^{2} = 5$

$c = \sqrt{5}$

So our foci is

$(2, - 5 + \sqrt{5} )$

and

$(2, - 5 - \sqrt{5} )$

6 0

1 year ago

Answer the question circled and if you want to, the questions below

igomit [66]

4^3 is 64 and 3^4 is 81. Therefore the answer to the circled question is -17.

5 0

2 years ago

Read 2 more answers

Use a matrix equation to solve the system of linear equations. left brace Start 2 By 1 Matrix 1st Row 1st Column 2nd Row 1st Col

natali 33 [55]

Answer:

$\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]$

Step-by-step explanation:

The matrix system for the linear equations: x + 2y = 8, 2x + 6y = 9

$\left[\begin{array}{ccc}1&2&\\2&6\\\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}8\\9\end{array}\right]$

To get the coefficient of x and y, the inverse of the first matrix (let the first matrix be A) must be known.

$A^{-1}$ = (1 / determinant of A) x Adjoint of A

the determinant of A = (1 x 6) - (2 x 2) = 6 - 4 = 2

Adjoint of A = $\left[\begin{array}{ccc}6&-2&\\-2&1\\\end{array}\right]$

$A^{-1}$ = $\frac{1}{2} \left[\begin{array}{ccc}6&-2\\-2&1\end{array}\right]$ = $\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]$

4 0

2 years ago