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**

Write the equation of each line in slope-intercept form.(If possible please show work)

Chiang is filling a 50ft container with water at a rate of 0.5 ft/ min. interpret the key features for this situation

2 mi. yd. I'm confused

two sides of an equilateral triangle measure (y+10) and (y^2(-2)). if the perimeter of the triangle is 21 units what is the value of y?

What is the ones digit in the number 2²⁰⁵³?

Chiang is filling a 50ft container with water at a rate of 0.5 ft/ min. interpret the key features for this situation

2 mi. yd. I'm confused

two sides of an equilateral triangle measure (y+10) and (y^2(-2)). if the perimeter of the triangle is 21 units what is the value of y?

What is the ones digit in the number 2²⁰⁵³?

**Answer:**

Area of rectangle =

Length of rectangle = 14 m

Width of rectangle = 14 m

**Step-by-step explanation:**

Given:

Perimeter of rectangle is 56 m

To find: the maximized area of a rectangle and the length and width

Solution:

A function has a point of maxima at if

Let x, y denotes length and width of the rectangle.

Perimeter of rectangle = 2( length + width )

Also, perimeter of rectangle is equal to 56 m.

So,

Let A denotes area of rectangle.

A = length × width

Differentiate with respect to x

Put

Also,

At x = 14,

So, x = 14 is a point of maxima

So,

Area of rectangle:

Length of rectangle = 14 m

Width of rectangle = 14 m

12.5%

15%

20%

The **percent error** matching with its scenario :

1) 15%

2)20%

3)10%

4)12.5%

Here, from the given information we get:

the percent **error** are:

Leo = (11.5-10)/10 = 0.15

Candice = (13.2-12)/ 12 =0.1

Josie = (24-20)/20 = 0.2

Lenny = (18-16)/16 = 0.125

Now, we have,

For **percentage**, multiply each number by 100;

Leo = 15%

Candice = 10%

Josie = 20%

Lenny = 12.5%

To learn more on **percentage** click:

#SPJ3

**Answer:**

1) 15%

2)20%

3)10%

4)12.5%

**Answer:uu**

-10 and -12

**Step-by-step explanation:**

**Answer:**

The 90% confidence interval is (1408.325 hours, 2115.675 hours).

**Step-by-step explanation:**

We have that to **find **our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

**Now**, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so

**Now**, find M as such

In which s is the standard deviation of the sample. So

The** lower end** of the interval is the mean subtracted by M. So it is 1762 - 353.675 = 1408.325 hours.

The **upper end** of the interval is the mean added to M. So it is 6.4 + 0.3944 = 2115.675 hours.

The 90% confidence interval is (1408.325 hours, 2115.675 hours).

**Answer:**

I do believe the answer is 5: 15/3=5 and the height should be equal to the side of the parallelogram

**Step-by-step explanation:**

pls provide the problem

**Answer:**

look below for question

**Step-by-step explanation:**

Which is true about the solution to the system of inequalities shown?

y > 3x + 1

y < 3x – 3

Only values that satisfy y > 3x + 1 are solutions.

Only values that satisfy y < 3x – 3 are solutions.

Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.

There are no solutions.