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2 years ago

Solve the system of equations. y=x-1 y=-x-5

Mathematics

2 answers:

koban [17]2 years ago

8 0

There is something wrong with the question. Check it again

lyudmila [28]2 years ago

7 0

Answer:

there is some mistake in question

Step-by-step explanation:

You might be interested in

What is 1 1/8 plus 5/8

slava [35]

Answer:

1 6/8

Step-by-step explanation:

add 1/8 to 5/8 by adding just the numerators

1 + 5 = 6

now you have 6/8. add the 1 and you have 1 6/8

hope this helped, have a good day :)

6 0

3 years ago

Read 2 more answers

Find all solutions of each equation on the interval 0 ≤ x < 2π.

Korvikt [17]

Answer:

$x = 0$ or $x = \pi$ .

Step-by-step explanation:

How are tangents and secants related to sines and cosines?

$\displaystyle \tan{x} = \frac{\sin{x}}{\cos{x}}$ .

$\displaystyle \sec{x} = \frac{1}{\cos{x}}$ .

Sticking to either cosine or sine might help simplify the calculation. By the Pythagorean Theorem, $\sin^{2}{x} = 1 - \cos^{2}{x}$ . Therefore, for the square of tangents,

$\displaystyle \tan^{2}{x} = \frac{\sin^{2}{x}}{\cos^{2}{x}} = \frac{1 - \cos^{2}{x}}{\cos^{2}{x}}$ .

This equation will thus become:

$\displaystyle \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} \cdot \frac{1}{\cos^{2}{x}} + \frac{2}{\cos^{2}{x}} - \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} = 2$ .

To simplify the calculations, replace all $\cos^{2}{x}$ with another variable. For example, let $u = \cos^{2}{x}$ . Keep in mind that $0 \le \cos^{2}{x} \le 1 \implies 0 \le u \le 1$ .

$\displaystyle \frac{1 - u}{u^{2}} + \frac{2}{u} - \frac{1 - u}{u} = 2$ .

$\displaystyle \frac{(1 - u) + u - u \cdot (1- u)}{u^{2}} = 2$ .

Solve this equation for $u$ :

$\displaystyle \frac{u^{2} + 1}{u^{2}} = 2$ .

$u^{2} + 1 = 2 u^{2}$ .

$u^{2} = 1$ .

Given that $0 \le u \le 1$ , $u = 1$ is the only possible solution.

$\cos^{2}{x} = 1$ ,

$x = k \pi$ , where $k\in \mathbb{Z}$ (i.e., $k$ is an integer.)

Given that $0 \le x < 2\pi$ ,

$0 \le k$ .

$k = 0$ or $k = 1$ . Accordingly,

$x = 0$ or $x = \pi$ .

8 0

3 years ago

Read 2 more answers

What is the measure of each angle? Show your work!

nalin [4]

Answer:

pos: 99. Sor: 17. roq: 64

Step-by-step explanation:

(5x+4)+(x-2)+(3x+7)=180

we add the angles to 180 because straight lines are equal to 180

5x+4+x-2+3x+7=180

5x+x+3x+4-2+7=180

9x+9=180

9x=

9x=171

x=19

then we plug x in

5(19)+4 + (19)-2 +3(19)+7 = 180

angles (left right)

99. 17. 64.

6 0

3 years ago

The company leased two manufacturing facilities. Lease A requires 20 annual lease payments of $200,000 beginning on January 1, 2

Fed [463]

Answer:

the present value of the lease obligation for lease A will be $1,702,712.74 while the present value of lease B will be $1,764,741.73

Step-by-step explanation:

the present value of annual lease payment will be determined by discounting the total amount to be received from lease payment over years.

for lease A , Pv = A $\fracA{1 -(1+r)^{-n} }{r}$

= $200,000( 1 - (1+0.1) $^{20}$ ) / 0.1 = $1,702,712.74

for lease B , Pv = $220,000( 1 - (1+0.1) $^-{17}$ ) / 0.1 = $1,764,741.73

the amount to be dicloased in the balance sheet at 31 december, 2018

6 0

3 years ago

Pablo generates the function f(x) = 3/2(5/2)^x-1 to determine the x'th number in a sequence.

BaLLatris [955]

Answer:

f(x+1)=5/2f(x) with f(1)=3/2

Step-by-step explanation:

So we are looking for a recursive form of

$f(x)=\frac{3}{2}(\frac{5}{2})^{x-1}$ .

This is the explicit form of a geometric sequence where $r=5/2$ and $a_1=\frac{3}{2}$ .

The general form of an explicit equation for a geometric sequence is

$a_1(r)^{n-1} \text{ where } a_1 \text{ is the first term and } r \text{ is the common ratio}$ .

The recursive form of that sequence is:

$a_{n+1}=ra_n \text{ where you give the first term value for } a_1$ .

So we have r=5/2 here so the answer is A.

f(x+1)=5/2f(x) with f(1)=3/2

By the way all this says is term is equal to 5/2 times previous term.

5 0

3 years ago

Read 2 more answers