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The sum of two functions, f and g: (f + g)(x) = f (x) + g(x) and The difference of two functions f and g: (f - g)(x) = f (x) - g(x).

What is operation function ?

The operations function refers to all the activities that focus on producing goods and services for the customers. It includes the production process of converting raw material into final products. It helps to reduce costs and make process improvements.

Have given ,

Two function f and g then ,

There is one more way that functions can be combined. The fifth operation is called the composition of two functions. The composition of the functions f (x) and g(x) is symbolized this way: (fog)(x). It is equivalent to f (g(x)). It is read "f of g of x." The concept is simple. First, the value of g at x is taken, and then the value of f at that value is taken. Let's try an example to clear things up.

So , The sum of two functions, f and g: (f + g)(x) = f (x) + g(x) and The difference of two functions f and g: (f - g)(x) = f (x) - g(x).

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Answer:    It is not possible for me to determine which line LR is not a transversal to without more context. A transversal is a line that intersects two or more other lines at different points. In order to determine which line LR is not a transversal to, I would need to know the other lines that are involved and the points at which they intersect.

Step-by-step explanation:

Answer:

Audrey paid $5.88

Step-by-step explanation:

$4.59+$1.79=$6.38. That is her total order.

The coupon gives her 50 cents off, so $6.38-$0.50=$5.88

Audrey paid $5.88.

Answer:

answer $5.88 dollars hope this helps. :D

Answer:

-8/15

Step-by-step explanation:

So remember what sin, cos, and tan are.

sin = opposite/hypotenuse

cos = adjacent/hypotenuse

tan = opposite/adjacent

Now, using what we know of sin and cos, lets find opposite and adjacent to solve for tan.

Sin=-8/17

So this must mean that opposite is -8, and the hypotenuse is 17.

Next, lets find adjacent. Cos = 15/17

So this must mean that adjacent is 15, and again, hypotenuse is 17.

Now lets take the -8 of the opposite, and 15 of the adjacent, and get tan.

Tan: -8/15.

17 is not included in this whatsoever, since hypotenuse is not included in tan. And remember that it cannot be -15/8, since its opposite/adjacent, not adjacent/opposite.

Hope this helps!

Step-by-step explanation:

18 and 5 are both missing if that's what you mean

Answer:

D. 360

Step-by-step explanation: It's being multiplied by plus one more every time you move on to a new term.

So 2*3=6, 6*3=18, 18*4=72, 72*5=360

Answer:

Step-by-step explanation:

 h

------ - 1 = -3

  6

To solve for h, first add 1 to both sides to isolate h/6:

h

---- = -2

 6

Now isolate h by multiplying both sides by 6:

h = -12

Answer:

h is -12

..... .. . . . . .. . . .

Answer:

8

Step-by-step explanation:

[tex]\bar{x}=np=10(0.8)=8[/tex]

Answer:

x^4+x^3-3x^2-12x

Step-by-step explanation:

0,-4,√3 are the zeros of polynomial. P.

If x=√3 is a zero and P has integer coefficients, then x=-√3 is also a zero. Both of these results come from solving the equation x^2=3 or x^2-3=0 so x^2-3 is a factor of P.

x=0 is a zero, means x-0 or x is a factor.

x=-4 is a zero, means x-(-4) or x+4 is a factor.

So the polynomial, P, in factored form is

x(x^2-3)(x+4)

Let's write in standard form.

I will begin by multiplying the last two factors.

x(x^3+x^2-3x-12)

Distribute x

x^4+x^3-3x^2-12x

Answer:

Approximately 2254 people.

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle it is known was SSS congruence

The solution for given question of algebra are 10, -42, -38 for question 1st, 2nd and 3rd.

There are several sub-branches of algebra, including commutative algebra, abstract algebra, linear algebra, and elementary algebra.

x + 6/x + 3 = 4/7

7x + 42 = 4x + 12

7x - 4x = 42-12

3x = 30

x = 10

2/x+8 = 3/x+9

2x - 18 = 3x + 24

x = -42

x+2/6 = x-4/7

7x+14 = 6x-24

x = -38

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Answer:

B, C, A

Step-by-step explanation:

[tex]f(x)=-2x-(-3)=-2x+3\\\\f(0)=0+3=3[/tex] That's enough information to pick table B for this function.

____________

[tex]f(x)=-2x+(-1/3)=-2x-1/3[/tex]

[tex]f(1)=-2(1)-\frac{1}{3} = -2\,\frac{1}{3}[/tex]   That picks table C

The third must be table A (it's the only one left!)

Answer:

It will decrease 4 times. Therefore, the volume of the smaller cylinder will decrease 4 times.

Answer:

Mistake => [tex] \frac{8x}{4} = \frac{4}{4} [/tex]

How it can be fixed => [tex] \frac{8x}{8} = \frac{4}{8} [/tex]

[tex] x = \frac{1}{2} [/tex] (correct answer)

Step-by-step explanation:

The student solved the problem correctly up to the second step where 6 was added to both sides of the equation.

The mistake he made was in his division.

Thus, instead of dividing both sides by 8, he divided both sides by 4, which is incorrect.

Mistake => [tex] \frac{8x}{4} = \frac{4}{4} [/tex]

How it can be fixed => [tex] \frac{8x}{8} = \frac{4}{8} [/tex]

[tex] x = \frac{1}{2} [/tex] (correct answer)

Answer:

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Answer:

Step-by-step explanation:

1) the triangle is right, so we can use the Pythagorean theorem

x^2 + 24^2 = (16+x)^2

x^2 + 576 = x^2 + 256 + 32x

32x = 320

x = 10

2) the two segment are congruent, so

7x - 13 = 9x - 23

2x = 10

x = 5

Answer:

C

Step-by-step explanation:

1) rewrite the first function

f(x)=3(x^2+25-10x)

f(x) = 3x^2 - 30x + 75

2) find the y intercept of the two functions

f(x) = 75 ; g(x) = 3

3) find the distance between the two values

75 - 3 = 72

Answer:

[tex]\frac{5}{9}[/tex] in

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length )

Given A = [tex]\frac{25}{81}[/tex] , then

s² = [tex]\frac{25}{81}[/tex] ( take the square root of both sides )

s = [tex]\sqrt{\frac{25}{81} }[/tex] = [tex]\frac{\sqrt{25} }{\sqrt{81} }[/tex] = [tex]\frac{5}{9}[/tex]

Answer:

This is an example of a combined 45 45 90 triangle and a 60 30 90 triangle. I have put the pictures showing the side lengths.

Step-by-step explanation:

On the 30 60 90, the hypotenuse is 6.

6 = 2x

x = 3

therefore, the two legs of the triangle are measured as 3 and 3[tex]\sqrt3}[/tex]

Now that we have  3[tex]\sqrt3}[/tex] as one of the legs for the other triangle, using the picture of the 45 45 90 triangle, the hypotenuse must be x[tex]\sqrt{2}[/tex].

Since x =  3[tex]\sqrt3x}[/tex],    x[tex]\sqrt{2}[/tex] is 3[tex]\sqrt3}[/tex] x

Therefore x=3[tex]\sqrt{6}[/tex]

If this helps you mark me brainliest pls

Answer:

-2,2

Step-by-step explanation:

Answer:

There are 47 dimes and 2 pennies.

Step-by-step explanation:

10¢ = 1 dime

$4.70 = 470 ¢

470 dimes = 47 dimes

and 2 pennies

Latitude 36°30′ was designated by the Missouri Compromise of 1820 as the northern limit for the legalization of slavery in the western territories.

By Stephen A. Douglas's Kansas-Nebraska Act of 1854, the Missouri Compromise's prohibition on slavery in the former Louisiana Territory north of the parallel 36°30′ north had been essentially removed. Latitude 36°30′ was designated by the Missouri Compromise of 1820 as the northern limit for the legalization of slavery in the western territories.

The expansion of slavery into the western lands was addressed by the Missouri Compromise, the Compromise of 1850, and "Bleeding Kansas." The balance between "free" and "slave" states in the Union was a factor in each of them.

Slavery was proposed to be outlawed in the remaining Louisiana Territory above the 36° 30' latitude line in the Missouri Compromise. The Kansas-Nebraska Act of 1854 abolished this clause after it had been in effect for 34 years.

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The Missouri Compromise of 1820 established latitude 36°30′ as the northern boundary for the legalisation of slavery in the western territories.

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Answer:

134

Step-by-step explanation:

If this is right can I get brainliest?

Answer:

140x − 6

Step-by-step explanation:

add the numbers

7x(12+8)-6

7x(20)-6

multiply the numbers

7x times 20-6

=140x-6

Answer:

-2

Step-by-step explanation:

Answer:

the answer is -2

Answer:

Acute Angle

Step-by-step explanation:

Answer:

obtuse angle because it is more than 90 degrees

the value of 2 by 7 and 3 by 7 is: 5/7. This can be solved using the concept of fraction of addition.

A fraction is a piece of the entire. The number is stated in arithmetic as a quotient, which signifies the numerator divided by the denominator. Both are integers in a straightforward fraction. The numerator or denominator of a complex fraction is a fraction. A suitable fraction has a numerator that is smaller than its denominator.

Three main fractional kinds exist. They come in three varieties: appropriate fractions, incorrect fractions, and mixed fractions. The numerator and denominator words are known as fractions. We define its kinds in light of these two words.

the value of 2 by 7 and 3 by 7 is:

= (2/7) + (3/7)

= 5/7

When adding the fractions 2/7 and 3/7 we get 5/7, as the denominator is same.

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The general integral is provided by y = C1e-t + C2te-t + (1/2)(t2)e-t.

(m + 1)2 =0 is the characteristic polynomial for the differential equation y" +2y' + y = e-t.

Roots -1, -1. yh = C1e-t + C2te-t is the answer to the homogeneous equation at that point.

Use the method of variation of parameters, taking into account the independent integrals y1 = e-t, y2 = te-t, and Wronskian

W(t) = e-2t, to derive the specific integral related to f(t) = e-t.

Then, use the conventional formula yp = - y1(t)(Integral of Y2(t)f(t)dt/W(t)) +y

Obtain yp = (1/2)(t2)e-t for the given situation.

As a result, the general integral is provided by

y = C1e-t + C2te-t + (1/2)(t2)e-t.

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Step-by-step explanation:

f(x)+q(x)

➜3x+5+0

➜3x+5

➜f(x)