hx = 5x + 2

Write the expressions for (g - h)(x) and (g * h)(x) and evaluate (g + h)(−2).

Answer:

**Answer:**

**Step-by-step explanation:**

Given the functions g(x) = x − 3x and h(x) = 5x + 2, we are to calculatae for the expression;

a) (g - h)(x) an (g * h)(x)

(g - h)(x) = g(x) - h(x)

(g - h)(x) = x − 3x -(5x+2)

(g-h)(x) = x-3x-5x-2

**(g-h)(x) =-7x-2**

b) (g * h)(x) = g(x) * h(x)

(g * h)(x) = (x − 3x)(5x+2)

(g * h)(x) = 5x²+2x-15x²-6x

(g * h)(x) = 5x²-15x²+2x-6x

**(g * h)(x) = -10x²-4x**

c) To get (g + h)(−2), we need to first calculate (g + h)(x) as shown;

(g + h)(x) an (g * h)(x)

(g + h)(x) = g(x) +h(x)

(g + h)(x) = x − 3x + (5x+2)

(g+h)(x) = x-3x+5x+2

(g+h)(x) =3x+2

Substituting x = -2 into the resulting function;

(g+h)(-2) = 3(-2)+2

(g+h)(-2) = -6+2

**(g+h)(-2) = -4**

WHAT IS THE SLOPE OF THE LINE 6X + 3Y = 18?

How many seats are in theatre

What is 37/40 in simplest form￼

Triangle DEF is reflected over the y-axis, and then translated down 4 units and right 3 units. Which congruency statement describes the figures?ΔDEF ≅ ΔSURΔDEF ≅ ΔSRUΔDEF ≅ ΔRSUΔDEF ≅ ΔRUS

How do I solve a mathematics problem that is too complex for me to solve?

How many seats are in theatre

What is 37/40 in simplest form￼

Triangle DEF is reflected over the y-axis, and then translated down 4 units and right 3 units. Which congruency statement describes the figures?ΔDEF ≅ ΔSURΔDEF ≅ ΔSRUΔDEF ≅ ΔRSUΔDEF ≅ ΔRUS

How do I solve a mathematics problem that is too complex for me to solve?

**Answer:**

**y = 64°**

**Step-by-step explanation:**

From the picture attached,

m(∠E) = 90°

m(∠E) = m(∠D)

m(∠B) + 67° = 180° [pair of linear angles]

m(∠B) = 113°

m(∠C) + 75° = 180°

m(∠C) = 180° - 75°

= 105°

Since, sum of interior angles of a polygon = (n - 2) × 180°

Here, n = number of sides

For n = 5,

Sum of interior angles = (5 - 2) × 180°

= 540°

m(∠A) + m(∠B) + m(∠C) + m(∠D) + m(∠E) = 540°

m(∠A) + 113° + 105° + m(∠D) + 90° = 540°

(m∠D) + m(∠D) = 540 - 308 [Since, m(∠A) = m(∠D)]

2(m∠D) = 232

**m(∠D) = 116°**

m(∠D) + y° = 180° [Linear pair of angles]

116 + y = 180

**y = 64°**

**Answer:**

**13. B**

**14. A**

**both declining slopes **

The volume of the space between the sphere and cube is equal to the volume of the sphere subtracted from the volume of the cube:

The volume of a cube is:

s is the length of each edge in the cube

The volume of a sphere is:

The diameter of the sphere is equal to the edge of the cube, then, its radiusr is:

Then, the volume of the space between the sphere and cube is:

s is 34 in

Then, the approximate volume of the space between the sphere and cube is 18724,47 cubic inches

**Answer:**

C = 2.75g

**Step-by-step explanation:**

The total cost of the gas purchased is the product of the price per gallon and the number of gallons.

Hope this helps. :)

The equation that relates the total cost (C) to the number of gallons of gas (g) is C = 2.75g. This equation indicates that to find the total cost, you multiply the number of gallons by $2.75.

The **question** is asking for an equation that relates the total cost (C) to the number of gallons of gas purchased (g). Since the cost of gas is $2.75 per gallon, you multiply the number of gallons by $2.75 to find the total **cost.** Therefore, the equation that represents this relationship is **C = 2.75g**.

This equation states that the total cost (C) is equal to the cost per gallon ($2.75) multiplied by the number of gallons of gas (g). For instance, if you buy 10 **gallons** of gas, you would plug in 10 for g in the equation like this: **C = 2.75 * 10**, which will give you $27.50.

#SPJ3

**Answer:**

BRO I HAVE THE SAME QUESTION I NEEEED HELP

**Step-by-step explanation:**

**Answer:**

D

**Step-by-step explanation:**

Have a nice day