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2 years ago

A sequence begins with-3. Each term is calculated by multiplying the previous term by -4, then subtracting 1.

Mathematics

1 answer:

Otrada [13]2 years ago

4 0

Answer:

Step-by-step explanation:

We know that to find the next term we have to do

-3(-4)-1, which is equal to 11.

There are only to solutions with the '11' as the second term, A and C.

It can't be C as curly brackets state a set of numbers.

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What are the zeros of the function f(x) = x2 + 8x + 4, expressed in simplest radical form?

Vlada [557]

Answer:

-4 ± 2*sqrt(3)

Step-by-step explanation:

Well I'm not quite sure as to what the x= equations are, but for the solution to this quadratic I just used the quadratic formula. This gave me -8 ± sqrt(48)/2, which can be simplified to -4 ± 2 * sqrt(3). Hope this helps :)

7 0

3 years ago

Use the quadratic formula to solve x^2 -3x - 5 = 0. Round to two decimal places.

Evgen [1.6K]

Answer:

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}$

Step-by-step explanation:

Given the equation

$x^2\:-3x\:-\:5\:=\:0$

solving with the quadratic formula

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}$

$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=1,\:b=-3,\:c=-5$

$x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:1\cdot \left(-5\right)}}{2\cdot \:1}$

$x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{29}}{2\cdot \:1}$

separating the solutions

$x_1=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:1},\:x_2=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:1}$

solving

$x=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:\:1}$

$=\frac{3+\sqrt{29}}{2\cdot \:1}$

$=\frac{3+\sqrt{29}}{2}$

also solving

$\:x=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:\:1}$

$=\frac{3-\sqrt{29}}{2\cdot \:1}$

$=\frac{3-\sqrt{29}}{2}$

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}$

7 0

3 years ago

If Colorado Springs, Colorado, has 1.2 times as many days of sunshine as Boston, Massachusetts, how many days of sunshine does e

Paul [167]

Colorado and Boston have 263 and 219 days of sunshine respectively.

<h3>What is the solution to the Equation?</h3>

Let the number of days of sunshine in Colorado is x and the number of days of sunshine in Boston is y.

Total number of days of sunshine=482

Also, the number of days of sunshine in Colorado is 1.2 times the number of days of sunshine in Boston.

So, the equation is formed as follows:

x+y=482 -(1)

The other equation is formed as:

x=1.2y -(2)

Substitute the value x from equation (2) in (1),

1.2y+y=482

2.2y=482

y=482/2.2

y=219

Substitute the value of y in equation (1),

x+219=482

x=482-219

x=263

Learn more about Equations here:

brainly.com/question/2972832

#SPJ4

3 0

2 years ago

Find at least 4 equivalent fraction of<br>14 / 16

r-ruslan [8.4K]

Answer:

hope i helped:) :)

Step-by-step explanation:

7/8

28/32

42/48

56/64

5 0

3 years ago

Read 2 more answers

If the length of the 45° region of this circle is 10 inches, what is the radius of the circle? Use and round to the nearest tent

USPshnik [31]

Answer:

12.71in

step explanation:

The Length of an arc given is expressed as;

A = theta/360 * 2πr

10 = 45/360 * 2 * 3.14r

10 = 1/8 * 6.28r

Cross multiply

10 * 8 = 6.28r

80 = 6.28r

r = 80/6.28

r = 12.74in

Hence the radius is 12.71in

8 0

3 years ago