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2 years ago

10

Given that f(x)=x^2-3x-54 and g(x)=x+6, find (f•g)(x) and express the result in standard form

1 answer:

love history [14]2 years ago

7 0

Answer:

×³+3×²-72×-324

Step-by-step explanation:

I hope it help

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A simplified model of the human blood-type system has four blood types: A, B, AB, and O. There are two antigens, anti-A and anti

dexar [7]

Answer: Blood type will be A when event "A" happened and event "B" did not happen. Blood type will be B when event "A" did not happened and event "B" happened. Blood type will be AB when both events happened and blood type will be O when both events did not happen.

Step-by-step explanation:

S={AntiA reacts; AntiA does not react; AntiB reacts; AntiB does not react}

If AntiA reacts and AntiB reacts = AB (A∩B)

If AntiA does not react and AntiB does not react= O (A'∩B')

If AntiA reacts and AntiB does not react= A (A∩B')

If AntiA does not react and AntiB reacts= B (A'∩B)

4 0

3 years ago

Q6. The diagram shows two similar solids, A and B.

solniwko [45]

Answer:

640cm³

Step-by-step explanation:

Length SF = ×2

Volume SF = ×2³ = ×8

Volume of B = 8 × 80 = 640cm³

6 0

2 years ago

2/3 b + 5 =20 - b solve for b

Wittaler [7]

Answer:

$b = 9$

Step-by-step explanation:

$\frac{2}{3} b + 5 = 20 - b$

In order to solve for b, we must isolate the variable. We can start by subtracting 5 from both sides.

$\frac{2}{3} b + 5 - 5 = 20 - b - 5$

Simplify.

$\frac{2}{3} b = 15 - b$

Add b to both sides.

$\frac{2}{3} b + b = 15 - b + b$

Simplify.

$\frac{2}{3} b + b = 15$

Multiply everything by 3 to remove the fractions.

$3(\frac{2}{3}b+b) = 3(15)$

Simplify.

2b + 3b = 45

Simplify.

5b = 45

Divide 5 from both sides.

5b ÷ 5 = 45 ÷ 5

Simplify.

b = 9

For more information on solving variables, check out the following answers!

4 0

1 year ago

Read 2 more answers

Angle measure represented by 36.7 rotations counterclockwise

zhannawk [14.2K]

Answer:

13,212° or 73.4π radians

Step-by-step explanation:

Each rotation is 360° or 2π radians. So, 36.7 rotations is ...

36.7×360° = 13,212°

or

36.7×2π = 73.4π radians

7 0

3 years ago

assume x and y are both differentiable functions of t. find dx/dt given x=-1 and dy/dt=8 for the relation: 4x^2+3y^3=28

melomori [17]

Given:

x and y are both differentiable functions of t.

$4x^2+3y^3=28$

$x=-1\text{ and }\dfrac{dy}{dt}=8$

To find:

The value of $\dfrac{dx}{dt}$ .

Solution:

We have,

$4x^2+3y^3=28$ ...(i)

At x=-1,

$4(-1)^2+3y^3=28$

$4+3y^3=28$

$3y^3=28-4$

$3y^3=24$

Divide both sides by 3.

$y^3=8$

Taking cube root on both sides.

$y=2$

So, y=2 at x=-1.

Differentiate (i) with respect to t.

$4(2x\dfrac{dx}{dt})+3(3y^2\dfrac{dy}{dt})=0$

Putting x=-1, y=2 and $\dfrac{dy}{dt}=8$ , we get

$4(2(-1)\dfrac{dx}{dt})+3(3(2)^28)=0$

$-8\dfrac{dx}{dt}+9(4)(8)=0$

$-8(\dfrac{dx}{dt}-9(4))=0$

Divide both sides by -8.

$\dfrac{dx}{dt}-36=0$

$\dfrac{dx}{dt}=36$

Therefore, the value of $4x^2+3y^3=28$ is 36.

6 0

2 years ago