1.What is (f-g)(x) ?
f(x)=x^4-3x^2+5x-7
g(x)= x^3-3x^2+3x-1

Answer:

Is this the full question?

The sum of vector is (-2.4148, -4.0499), magnitude is 4.7 and  [tex]\theta[/tex] = 239 degree.

A quantity or phenomena with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.

Given:

Vector u = 3( cos 255, sin 255)

v = 2 (sin 215, cos 215)

So, u+ v

= (3 cos 255 + 2 cos 215, 3 sin 255 + 2 sin 215)

= (-2.4148, -4.0499)

and, Magnitude

| u +v | = √(-2.4148)² + (-4.0499)²

           = 4.7

Then, tan [tex]\theta[/tex] = 4.0499/ 2.4148

So,  [tex]\theta[/tex] = 239 degree

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9514 1404 393

Answer:

  3x = ln(y+4)

Step-by-step explanation:

Taking the natural log of both sides, you have ...

  3x = ln(y +4)

__

The applicable rule of logarithms is ...

  ln(e^a) = a

The "work" is applying this rule. Here, a=3x. The log of a sum cannot be simplified.

Answer:

Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12) or Choice 2

Step-by-step explanation:

The last two answers get eliminated because their leading coefficients aren't 2. The first option is wrong because if you plug in -5 and +12 into x the function won't equal 0. So the correct answer is the Second answer: Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12)

Answer:

The polynomial function that has a leading coefficient of 2, a root of 5 with a multiplicity of 3, and a root of 12 with a multiplicity of 1 is choice 2.

Step-by-step explanation:

A leading coefficient of 2 means that the number multiplying all the binomial would be 2, so you know it is not choices 3 and 4. A root of -5 with a multiplicity of 3 means that when you replace x with -5, three binomials will result in 0, which helps eliminate the first choice. A root of 12 with a multiplicity of 1 means that when you replace x with 12, you will have a binomial that results in 0. Using all of this information, you'll get that the polynomial that has a leading coefficient of 2, a root of -5 with a multiplicity of 3, and a root of 12 with a multiplicity of 1 is [tex]f(x)=2(x+5)(x+5)(x+5)(x-12)[/tex].

Answer:

plz if you knew if you new it plz tell me

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

school c so B would be correct

Answer:

120

Step-by-step explanation:

volume of triangular prism = area of base times length

the base is a triangle and the area of a triangle can be calculated by using this formula

[tex]a=\frac{bh}{2}[/tex]

where b = base length and h = height

Dimensions of base

base length = 8cm and height = 3cm

Thus,

[tex]A=\frac{3*8}{2} \\3*8=24\\\frac{24}{2} =12\\[/tex]

The length of the triangular prism is 10cm

Thus volume = 10 * 12 = 120

Answer:

m

Step-by-step explanation:

b

Answer:

Area = 77ft²

Perimeter = 44 9/20 feets

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

Base = 19 1/4 feets = 77/4 feets

Height = 8 feets

Area = 1/2 * 77/4 * 8

Area = (77 * 8) / 8

Area = 77 feet²

Perimeter of a triangle :

Sum of the sides

Perimeter = a + b + c

Perimeter = 19 1/4 + 10 + 15 1/5

Perimeter = 44 + (1/4 + 1/5)

Perimeter = 44 9/20

Answer:

tan

Step-by-step explanation:

take 19 degree as reference angle

using tan rule

tan 19=opposite/adjacent

0.34=14/x

x=14/0.34

x=41.17

x=41.2

Answer:

21 times each person can be chossen for each postion once

Step-by-step explanation:

Answer:

they would sell 496 bottles

Step-by-step explanation:

if %1 of 800 is 8, then pultiply that by 62, since 62% said they liked tide

Answer:

See below.

Step-by-step explanation:

The train leaves station A at 13:44 and arrives at station B at 15:12.

Which means the train took 1 hour and 28 minutes to arrive at station B.

The train travels at 300 km/h. It took at least one hour, so the answer > 300 km.

Now, the remaining 28 minutes. We divide them by 60, as there’s 60 minutes in one hour and multiply by 300, as that’s how fast the train travels per hour.

28/60*300 = 140.

300 + 140 = 440.

The distance between the stations is 440 km.

Answer:

C and F

Step-by-step explanation:

Answer:

A, F

Step-by-step explanation:

ratio of sides in a 30-60-90 triangle is  1 : [tex]\sqrt{3}[/tex] : 2

Answer:

66 2/3 cubic inches

Step-by-step explanation:

V=1/3Bh    where 'B' is the area of the base and 'h' is height

V = 1/3(20)(10)

V = 200/3 or 66 2/3 cubic inches

Answer:

Step-by-step explanation:

ask cymath it will help you with any mathmatical problem

Answer:

b

Step-by-step explanation:

< less than

> greater than

= equal to

1,372 is less than 3,496 true

1,372 is greater than 3,496 false

2,583 is less than 4,194 true

3,496 is greater than 1,372 true

Answer:

3x-1

Step-by-step explanation:

3x^2+2x-5=3x-1 x1-25

Answer:

600

Step-by-step explanation:

If the "entire team means just bricklayers" then....

(5)500/5=500

500+100=600

Answer:

600

Step-by-step explanation:

Answer:

x=28

Step-by-step explanation:

1/2x - 3 = 11

Add 3 on both sides

1/2x = 14

Multiply 2 on both sides x=28

Answer:

For example, if f (x) and g (x) are inverses of each other, then we can ... Consider another case where a function f is given by f = {(7, 3), (8, –5), (–2, 11), (–6, 4)}. This function is one-to-one because none of its y - values appear more than once.

Step-by-step explanation:

Answer:

Half of 12 is 6(new radius)

6^2 = 36

36 x 3.14 = 113.04

113.04 x 8 = 904.32

904.32 divided by 3 ( x 1/3) = 301.44  m is your answer.

If he drives the car 218.4 miles in 2.4 hours. Then the speed of the car will be 91 miles per hour.

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units of time, then that object's speed will be given as

Speed = Distance traveled/Time taken

        S = D/T

Phillip is competing in a race car competition.

He drives 218.4 miles in 2.4 hours.

Then the speed of the car will be

S = 218.4/2.4

S = 91 miles per hour

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Answer:

No.

Step-by-step explanation:

In similar triangles, all the angles are congruent.

b = 180 - 90 - 43 = 47

c = 180 - 90 - 48 = 42

1 set of angles is 90, 43, and 47

And the other is 90, 48, and 42.

Meaning the triangles are not similar.

Answer:

m<QDC = 77

Step-by-step explanation:

First we need to generate an equation in order to find the value of x.

Thus:

m<QDC = ½(Arc QBC) => Inscribed Angles Theorem)

5x + 17 = ½(4x - 6 + 9x + 4)

5x + 17 = ½(13x - 2)

Multiply both sides by 2

2(5x + 17) = 13x - 2

10x + 34 = 13x - 2

Collect like terms

10x - 13x = -34 - 2

-3x = -36

Divide both sides by -3

-3x/-3 = -36/-3

x = 12

Find m<QDC:

m<QDC = 5x + 17

Plug in the value of x

m<QDC = 5(12) + 17 = 70 + 17

m<QDC = 77

Answer:

[tex]y = 8,50x[/tex]

Step-by-step explanation:

Given

Let

[tex]y\to[/tex]earnings

[tex]x \to[/tex] hours

Solving (a): The proportion

x and y can be expressed as:

[tex]y\ \alpha\ x[/tex] --- direct variation

Write as an equation

[tex]y = kx[/tex]

Where

[tex]k = 8.50[/tex] --- the hourly rate

So, we have:

[tex]y = 8,50x[/tex]

Answer:

(1,5) (2,6) (3,7) (4,8)

Answer:

Step-by-step explanation:

So in the example you gave, a ratio of 7:12 means that for every 7 of the first item, there are 12 of the second. The order becomes very important, as changing the ratio to 12:7 would mean that for every 12 of the first item, there are 7 of the second, which is not the same thing at all

7:12

14:24

21:36

28:48

keep smiling always

Answer:

x>-4    

:)

Step-by-step explanation:

Answer:

C. x > -4

Step-by-step explanation:

2x - 8 < 5x + 4

=> -3x < 12

=> x > -4 (have to change the inequality sign because it's divided by a negative number, -3)