Solve this system using the substitution method.
2x + 2y = 14
y = 3x - 5
x=
y=
​

Answer:

a)  f g(x) =  x³ - 5 x² + x -5

b) g(f(x) =  x³ - 5 x² + x -5

Step-by-step explanation:

Step(i):-

Given that f(x) = x² + 1 and g(x) = x-5

a)

      f(g(x)) = f(x-5) = (x-5)²+1 = x² - 10x +25 +1 = x² - 10 x +26

Step(ii):-

a) f g(x)  = f(x) g(x) = (x² + 1 )(x-5) = x³ - 5 x² + x -5

b)   g(f(x)  = g(x) f(x) = (x-5) (x²+1) =  x³ - 5 x² + x -5

Answer:

the answer is c

Step-by-step explanation:

Answer:

It's first one Thank me later ! HAHAHAHA

Step-by-step explanation:

Answer:

150°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° ( n - 2) ← n is the number of sides

Here n = 12, then

sum = 180° × 10 = 1800°

Since there are 12 interior angles, then

size of each interior angle = 1800° ÷ 12 = 150°

Answer:

I am not very sure, but I think the answer is

D.

Answer:

answer is d becuase i took the test and got it right

Step-by-step explanation:

the link is visable tho

Answer:

Step-by-step explanation:

Answer:

-14, -12, 0, 6, 8

Step-by-step explanation:

Answer: -14, -12, 0, 6, 8

Step-by-step explanation:

This is correct because -14 is the number with the smallest value so it belongs last. Then comes -12, 0, 6, 8.

Hope this helps ;)

Answer:

m = -1

Step-by-step explanation:

The slope of a line is calculated as ;

Given : (-2,3) and (2,-1)

m = Δy/Δx

m= -1-3 /2--2

m = -4 /4 = -1

The slope is -1

Answer:

w^3(4 + u^2)(2 + u)(2 - u)

Step-by-step explanation:

6w^3 – u^4w^3

w^3(16 – u^4)

w^3(42 - ((u^2)^2)

w^3(4 + u^2)(4 - u^2)

w^3(4 + u^2)(22 - u^2)

w^3(4 + u^2)(2 + u)(2 - u)

Answer:

120

Step-by-step explanation:

Add angle ABC and angle CBD together.

Answer:

I think it's (A) 27 ft2

Step-by-step explanation

at 1.5 with 1.5 and then add to 4.5 and 4.5 then mutiply the two answers together

Answer:1212321312Step-by-step explanation:

2131313

Answer:

30

Step-by-step explanation:

That means that there are 6 pie pieces in each pie so just multiply by 5

another thing we can do is get rid of 1/6 by multiplying by 6 which means we also have to multiply 5 by 6

Answer:

C = 95 degrees.

Step-by-step explanation:

The line is being intersected by parallel lines, so that means that those angles will add up to 180. 180-85=95.

Given:

Increase 386.3 by  4%.

To find:

The value for given statement.

Solution:

We have,

Initial value = 386.3

Increasing rate = 4%

The increased value is

[tex]\text{New value}=\text{Initial value + Increasing rate }\times \text{Initial value}[/tex]

[tex]\text{New value}=386.3+\dfrac{4}{100}\times 386.3[/tex]

[tex]\text{New value}=386.3+15.452 [/tex]

[tex]\text{New value}=401.752[/tex]

Therefore, the required value is 401.752.

Answer: Polynomials are algebraic expressions that consist of variables and coefficients.

Step-by-step explanation:

Answer:

an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

Answer:

1^-2

Step-by-step explanation:

1/2*1/2=1/4=1/2^2=1^-2

Answer:

2 ^-2

Step-by-step explanation:

Edmentum

Answer: p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t

Step-by-step explanation:

We can suppose that the only force acting on the object is the gravitational force, then the acceleration of the object will be equal to the gravitational acceleration.

Then we can write:

a(t) = -32 ft/s^2

Where the negative sign is because this acceleration is downwards.

Now, to get the vertical velocity of the object, we need to integrate over time to get:

v(t) = (-32 ft/s^2)*t + v0

where t represents time in seconds and v0 is the constant of integration, and in this case, is the initial vertical velocity.

In this case, the initial velocity is 57.4 ft/s upwards, then the velocity equation is:

v(t) = (-32 ft/s^2)*t + 57.4 ft/s

To get the position equation we need to integrate over time again, to get:

p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t + p0

Where p0 is the initial height of the object, as it was launched from the ground, then the initial position is p0 = 0ft.

then the position equation (that is the function that represents the height of the object as a function over time) is:

p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t

p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t

Answer:

10

Step-by-step explanation:

2pi(5) is 31.42.

31.42/pi gets you exactly 10pi meters.

Answer:

y=4/5x

Step-by-step explanation:

If you multiply the x value of 10, substitute it into the equation. Using the equation y=4/5x, you will get the y value of 8.

When you substitute the x value of 5 into the equation. You will get 4.

You do this for the rest of the x values and will get the correct y values.

Answer:

5 hours 8 mins?

Step-by-step explanation:

Answer:

None of them. The proper expression(s) to split the debt are:

5400 / 8

or

8x=5400

Answer:

60 degrees

Step-by-step explanation:

add all together

make an equation of the sum= 180

this would mean 9r-9=180

solve

9r-9=180

9r=189

r=21

plug 21 in for r on the angle Y

solve

3(21)-3

63-3

60

Answer:

2=C

3=A

4=D

5=B

Step-by-step explanation:

Answer:

2=C

3=A

4=D

5=B

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

When u cross multiply

[tex]5 \div x = 3 \div6[/tex]

= 3x=30(5*6)

= x=30/3

=x=10