The sum of two numbers is 10. Their difference is 6. What are the two numbers? ​

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: 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:

-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 ;)

i would but i need the picture

Answer:

$17.54

Step-by-step explanation:

15% percent of $15.25 is $2.29 so, add them together

$17.54 is the answer I think

Answer:1212321312Step-by-step explanation:

2131313

Answer:

x = 10, y = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The opposite sides of a parallelogram are congruent.

For LMNO to be a parallelogram then

ON = LM and OL = NM, that is

ON = LM

7x - 6 = 6x + 4 ( subtract 6x from both sides )

x - 6 = 4 ( add 6 to both sides )

x = 10 , then

NM = x - 9 = 10 - 9 = 1 and

OL = NM , that is

3y - 3 = 1 ( add 3 to both sides )

3y = 4 ( divide both sides by 3 )

y = [tex]\frac{4}{3}[/tex]

Answer:

the answer is c

Step-by-step explanation:

First to Answer:

The triangle would be a cute Scalene Triangle!

Here's all that you really can do with solving that

√28 =5.29150262213

√8 = 2.82842712475

Side a = 2.8

Side b = 5

Side c = 5.2

Angle ∠A = 31.788° = 31°47'18" = 0.55481 rad

Angle ∠B = 70.167° = 70°10'0" = 1.22464 rad

Angle ∠C = 78.045° = 78°2'42" = 1.36214 rad

Area = 6.84817

Perimeter p = 13

Semiperimeter s = 6.5

Height ha = 4.89155

Height hb = 2.73927

Height hc = 2.63391

Median ma = 4.9051

Median mb = 3.34515

Median mc = 3.10805

Inradius r = 1.05357

Circumradius R = 2.65764

Vertex coordinates: A[0, 0] B[5.2, 0] C[4.25, 2.63391]

Centroid: [3.15, 0.87797]

Inscribed Circle Center: [3.7, 1.05357]

Circumscribed Circle Center: [2.6, 0.55051]

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:

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:

120

Step-by-step explanation:

Add angle ABC and angle CBD together.

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.

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:

It's first one Thank me later ! HAHAHAHA

Step-by-step explanation:

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:

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:

Their race was 1/4 the length of Alex's 20km = 20 x 1/4 = 5 km

Alex than Deja and Jamie walked together : 20 - 5 = 15 km = 15000 m

Step-by-step explanation:

Answer:

Step-by-step explanation:

Equation for customer A:

Equation for customer B:

Subtract the first equation from the second and solve for y:

Find x by substituting the value of y:

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:

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:

(2x + 5b) • (2x - 5b)

Step-by-step explanation:

or at least that's what I got

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:

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