Simplify the expression

Answers

Answer 1

Answer:

Answer:

f(x) = 5x² + 2x

g(x) = 6x - 6

Step-by-step explanation:

$(5x^3-8x^2-4x)/(6x^2-18x+12)\n\n6(x^2-3x+2)\ne0\ \iff\ x=(3\pm√(9-8))/(2)\ne0\ \iff\ x\ne2\ \wedge\ x\ne1\n\n\n(5x^3-8x^2-4x)/(6x^2-18x+12)=(x(5x^2-8x-4))/(6(x^2-3x+2))=(x(5x^2-10x+2x-4))/(6(x^2-2x-x+2))=\n\n\n=(x[5x(x-2)+2(x-2)])/(6[x(x-2)-(x-2)]) =(x(x-2)(5x+2))/(6(x-2)(x-1))=(x(5x+2))/(6(x-1))=(5x^2+2x)/(6x-6)\n\n\nf(x)=5x^2+2x\n\ng(x)=6x-6$

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Find the range and domain of the following function

Answers

Since we don’t see an end on the X value we know that every number could be X. This mean X is an element of reels, so the domain answer is XER, the y however is over -2, so y>-2 but it can be any number above that so it is also an element of reels. So y>-2,YER would be the range

Show that (4-√3)(4+√3)/√13 simplifies to root 13

Answers

13 is a prime number, there is no simpler form for its square root .

Amelia has a triangular kite with an area of 30 square inches and a height of 6 inches. How long is the base of the kite?

Answers

Area of triangle = 0.5 * base * height
30 = 0.5 * 6 * base
30 = 3 * base
so , base = 10 inch

Answer:

Draw a vertical line to break the kite into two equal triangles with a base of 36 and a height of 15. Use the formula A = 1

bh to find the area of each. The sum of the areas is the area of the kite.

Step-by-step explanation:

boom

10+6x = 15+9x-3xis this one solution, no solution, or multiple solution if one of 2 please tell me what is x

Answers

Simplifying
10 + 6x = 15 + 9x + -3x

Combine like terms: 9x + -3x = 6x
10 + 6x = 15 + 6x

Add '-6x' to each side of the equation.
10 + 6x + -6x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + 0 = 15 + 6x + -6x
10 = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 = 15 + 0
10 = 15

Solving
10 = 15

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

Answer:

No solution

Step-by-step explanation:

Let's solve this equation to see if there are any solutions.

First we need to simplify it;

10 + 6x = 15 + 9x - 3x

Combine like terms:

6x - 9x + 3x = 15 - 10

0x = 5

0 = 5

Zero cannot be equal to 5, so there is no solution

45 – 15 – 15 =
A. 15.
B. 0.
C. 1.
D. 30

Answers

The result of the expression 45 - 15 - 15 is 15.

(Option A).

What is the solution of the expression?

The solution of the linear expression is calculated as follows;

The given expression;

45 – 15 – 15 = ?

To solve the expression 45 - 15 - 15, we follow the order of operations, which dictates that we perform the subtraction operations from left to right.

First, we subtract 15 from 45:

45 - 15 = 30

Then, we subtract another 15 from the result of the previous operation:

30 - 15 = 15

Therefore, the result of the expression 45 - 15 - 15 is 15.

Therefore, the correct option is A. 15.

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45 - 15 - 15 = 45 - 30

45 - 30 = (15)

A company finds it can produce 5 heaters for $2000, while producing 15 heaters costs $4600. Express the cost, y, as a linear function of the number of heaters, X. Determine the cost to produce 20 heaters. Express the cost, y, as a linear function of the number of heaters, X. ou y = (Simplify your answer.) The cost to produce 20 heaters is $

Answers

Answer:

y = 260x + 700
$5900

Step-by-step explanation:

We can describe it as a linear function with points of:

(5, 2000) and (15, 4600)

Slope intercept formula:

y = mx +b

Finding the slope using the two given points:

m = (4600-2000)/(15-5) = 2600/10 = 260

Finding b:

2000 = 5*260 + b

b = 2000 - 1300 = 700

Formula obtained:

y = 260x + 700

For x = 20, value of y is:

y = 260*20 + 700 = 5200+700 = $5900

Final answer:

To express the cost, y, as a linear function of the number of heaters, X, we can use the two-point formula to find the equation of the line. The equation is y = 260x + 700, and the cost to produce 20 heaters is $5900.

Explanation:

To express the cost, y, as a linear function of the number of heaters, x, we need to find the slope and y-intercept of the equation. We can do this by finding the equation of the line that passes through the points (5, 2000) and (15, 4600). Using the two-point formula, we have:

slope = (4600 - 2000) / (15 - 5) = 2600 / 10 = 260

y-intercept = 2000 - 260 * 5 = 2000 - 1300 = 700

Therefore, the equation of the line is y = 260x + 700.

To find the cost to produce 20 heaters, we substitute x = 20 into the equation:

y = 260 * 20 + 700 = 5200 + 700 = 5900

So, the cost to produce 20 heaters is $5900.

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