Solve the system of equations:
v=2x-4
y=x2 - 4

Answer:

x³-7x-6

Step-by-step explanation:

Find the products of the factors

(x+1)(x+2)(x-3)

x²+3x+2(x-3)

x³+3x²+2x-3x²-9x-6

x³-7x-6

3/7×4/7= (3×4)/(7×7)= 12/49

Answer:

12/49

Step-by-step explanation:

Hi! To start off, I'm going to multiply our numerators, and then our denominators.

3 × 4 = 12

7 × 7 = 49

Usually, if this fraction was not simplified (but it is) we would simplify it (ex. 2/4 to 1/2).

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

Step-by-step explanation:

As,

- 0.0084

When estimated,

= - 0.008

[tex] = \frac{ - 8}{1000} [/tex]

Then,

[tex] - 8 \times \frac{1}{1000} [/tex]

[tex] = - 8 \times {10}^{ - 3} [/tex]

Here,

Power of ten as observed is -3

Answer:

see below

Step-by-step explanation:

           x+5

y = ----------------------

        x^2 - 2x+1

Since the degree of numerator < degree of denominator ( 1 < 2) there is a horizontal  asymptote: y = 0

Answer:

Step-by-step explanation:

If the mean is 98 and standard deviation is 6, then 92 is one standard deviation to the left of the mean; that means that 34% + 34% + 13.5% + 2.35% + .15% of the data is included in this area. Add those up and you get, as a percentage, 84%.

Answer:

0.84

Step-by-step explanation:

yee its right

I assume you're supposed to establish the identity,

cos(A) cos(2A) cos(4A) = 1/8 sin(8A) / sin(A)

Recall the double angle identity for sine:

sin(2x) = 2 sin(x) cos(x)

Then you have

sin(8A) = 2 sin(4A) cos(4A)

sin(8A) = 4 sin(2A) cos(2A) cos(4A)

sin(8A) = 8 sin(A) cos(A) cos(2A) cos(4A)

==>   sin(8A)/(8 sin(A)) = cos(A) cos(2A) cos(4A)

as required.

Answer:

you guess any value of x and then you substitute any three values for example for the first equation you can guess the value of x to be 1 or 2 or 3

Answer:

x = 2y

Step-by-step explanation:

we don't need to do complicated trigonometric conversions. just try to express x by a term of y (or vice versa) and look.

so, starting with x = 2y.

if that is the case, then what is our equation looking like ? is it true ?

sin(2y - y)/sin(y) + cos(y - 2y)/cos(y) = 2

sin(y)/sin(y) + cos(-y)/cos(y) = 2

1 + cos(-y)/cos(y) = 2

cos(-y)/cos(y) = 1

cos(-y) = cos(y)

and yes, this is indeed true for all y. cos decreases from 1 to -1 with the increase of the absolute value of the angle from 0 to 180 degrees (meaning we could go up or down the same angle from 0, and cos would be the same), and then increases again to +1 for the increase of the absolute value of the angle from 180 to 360 degrees. and then it all starts again. and again, and again, ...

so, since the original equation is true under the assumption x=2y, this must be the correct option.

Answer:

Step-by-step explanation:

Reference angle in quadrant I,

θ' = θ

Reference angle in quadrant II,

θ' = 180° - θ

Reference angle in quadrant III,

θ' = θ - 180°

Reference angle in quadrant IV,

θ' = 360° - θ

13). θ = 315°

Since, the given angle is in the 4th quadrant,

Reference angle θ' = 360° - 315°

                                 = 45°

14). θ' = (620° - 540°)

         = 80°

Reference angle = 80°

15). θ' = 630° - θ

          = 630° - 580°

          = 50°

Reference angle = 50°

Answer:

The distance from the plane to the airport is around 245.57 feet.

Step-by-step explanation:

Angle of depression = 7 degrees

Height  (Vertical portion of a right-angle triangle) = 2,000 feet

We are looking for the base of the right-angle triangle, which represents the distance from the plane to the airport. Therefore, we must use SOH or CAH or TOA to help us determine the length of the base. In this case, it is most convenient to use TOA:

tanΘ=[tex]\frac{Opposite}{Adjacent}[/tex]

Rearrange the equation to solve for 'Opposite':

Opposite=(tanΘ)(Adjacent)

Opposite=(tan[7])(2,000)

Opposite=0.12278456*2,000

Opposite=245.5691218 feet

Thus, the distance from the plane to the airport is around 245.57 feet.

Answer:

B = 64°

AB = 33.378

BC = 14.632

Step-by-step explanation:

Given the right angled triangle ;

Angle B = 180 - (90 + 26) (sum of angles in a triangle)

Angle B = 180 - 116

Angle B = 64°

Side AB = c

Using trigonometry :

Sin B = opposite / hypotenus

Sin 64 = 30/AB

AB = 30 / Sin64

AB = 33.378

Side BC ;

Sin A = BC / AB

Sin 26 = BC / 33.378

BC = 33.378 * Sin 26

BC = 14.632

you have to plug in the x value to discover the y

y= 4.3 x 1

y = 4.3

so, the ordered pair is (1, 4.3)

hope it helps :)

Answer:

2nd and 3rd ordered pair are on the graph

Step-by-step explanation:

Substitute the x- coordinate into the equation and if the value obtained is equal to the y- coordinate then it lies on the graph.

(1, 625 )

f(1) = - [tex]25^{1+1}[/tex] = - [tex]25^{2}[/tex] = - 625 ≠ 625 ← No

(0, - 25 )

f(0) = - [tex]25^{0+1}[/tex] = - [tex]25^{1}[/tex] = - 25 ← Yes

(- 1, - 1 )

f(- 1) = - [tex]25^{-1+1}[/tex] = - [tex]25^{0}[/tex] = - 1 ← Yes [ using [tex]a^{0}[/tex] = 1 ]

Answer:

9/49

Step-by-step explanation:

4 purple beads and 3 green beads= 7 beads

P( green) = green = total = 3/7

Replace the bead

4 purple beads and 3 green beads= 7 beads

P( green) = green = total = 3/7

P( green , replace, green) = 3/7 * 3/7 = 9/49

Answer:

Step-by-step explanation:

The standard form for a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex] and what's important here is that the x- and the y- remain that way in the equation. Filling in our values,

[tex](x-(6))^2+(y-(-3))^2=25[/tex] which tells us that our center is

        6      and     -3 -------------------> (6, -3)

The radius is the square root of 25 which is 5.

Answer:  D. Reflect across the x-axis, and then reflect again over the x-axis.

Explanation:

If we reflect over the x axis, and then reflect over that same axis again, then we arrive at the original image. Nothing has changed. This is because the two reflections effectively cancel each other out.

It's like taking one step forward, then taking one step back. You haven't moved at all.

Answer:

(x+12, y-24)

Step-by-step explanation:

The rule is (x, y) -> (x+12, y-24)

Answer:

The Second One

Step-by-step explanation:

It Shows Side Lengths, and the angles for LOM and PON connect at O.

That means they share a similar angle, and between the angle are Sides.

SAS. (Side-Angle-Side)

(I'm not really good at math so i'm sorry if its wrong!)

Answer:

jejejjejejr

Step-by-step explanation:

uejejjejejjsjs

Step-by-step explanation:

hello you then good mujhe samajh mein nahin a rahi hai sorry

Answer:

(-2, -9)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinates (x, y)

Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x³ - 1

x = -2

Step 2: Evaluate

Answer:

D

Step-by-step explanation:

I really think the answer is D

Answer:

1.432

2. 8978

Step-by-step explanation:

First we need to assume that the sum of the angles is also 180°. if one is less than 90°, the other will be more. we can do this because in a plane 4-sided polygon the sum of the inner angles will always be 360°, and we already know the two angles on the right side

so we can say that:

3x + 20 + x = 180

Since we got only one variable in this equation, we can already solve for x.

4x + 20 = 180

4x = 160

x = 40

the lower left angle is just 40°

the upper left is three times that plus 20, so it's 160°

hope this helps you to get the method

Answer:

y + 1 = 2/3 (x - 8)

Step-by-step explanation:

y2 - y1 / x2 - x1          -5 - (-1) / 2 - 8      -4/-6      2/3

y + 1 = 2/3 (x - 8)

Answer:

Step-by-step explanation:

6 + 2 = 4,  given

6 + 5 = 11, correct

Step-by-step explanation:

we see, for x=-1 we get 3³

x=0 we get 3²

x=1 we get 3¹

so the function is definitely a 3 to the power of x version.

but we need to adapt the exponent a bit and correct x, so that at least for these 3 values of x the result is "running backwards".

the easiest way : 2-x as exponent.

it fits.

for x=-1 we get 2 - -1 = 3 as exponent.

for x=0 we get 2-0 = 2 as exponent.

for x=1 we get 2-1 = 1 as exponent.

so, the exponential function passing through these 3 points is

[tex]f(x) = {3}^{2 - x} [/tex]

Answer:

Amount she would have in 2 years at a simple interest of is

$5000 + ($5000 x 0.048 x 2) = $5480

Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :

$5000 x ( 1 +0.041/2)^4 = $5422.78

the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose

Step-by-step explanation:

Future value with simple interest = principal + interest

Interest = principal x interest rate x time

0.048 x 5000 x 2 = 480

future value = $480 + 5000 = $5480

The formula for calculating future value with compounding:

FV = P (1 + r)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years

5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78

Answer:

5

Step-by-step explanation:

(x+5)(x-3)=20

x=5