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2 years ago

Graph the solution to this inequality on the number line.

Mathematics

1 answer:

Svetach [21]2 years ago

3 0

Given the inequality expression:

w−0.8>−2.4

Inequalities are expressions separated by an unequal sign.

According to the given question, we need to find the solution for "w"

w−0.8>−2.4

Add 0.8 to both sides

w−0.8+0.8>−2.4 + 0.8

w > -2.4 + 0.8

Simplify the result by adding to have:

w > -1.6

Find the number line representing the solution attached;

Learn more on number line here: brainly.com/question/24644930

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Multiply (3x + 2) (4x-5)

Rama09 [41]

Answer:

12x^2-7x-10

Step-by-step explanation:

I did binomial into binomial method

3x(4x-5)+2(4x-5)

12x^2-15x+8x-10

12x^2+(-15+8)x-10

12x^2-7x-10

6 0

2 years ago

Read 2 more answers

NEED HELP ASAP Find f(-2) for f(x) = 2(4)^x

viktelen [127]

Answer:

A.) $\frac{1}{8}$

Step-by-step explanation:

f(-2) means plug in -2 in for x for the equation f(x), therefore,

f(-2) = $2(4)^x = 2(4)^{-2} = \frac{1}{8}$

4 0

2 years ago

Place the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of

victus00 [196]

Answer:

g(x), f(x) and h(x)

Step-by-step explanation:

Given

Interval: (0,3)

See attachment for functions f(x), g(x) and h(x)

Required

Order from fastest to slowest decreasing average rate of change

The average rate of change is calculated as:

$Rate = \frac{f(b) - f(a)}{b - a}$

In this case:

$(a,b) = (0,3)$

i.e.

$a = 0\\b=3$

For f(x)

$f(x) = 16(\frac{1}{2})^x$

$Rate = \frac{f(b) - f(a)}{b - a}$

$Rate = \frac{f(3) - f(0)}{3 - 0}$

$Rate = \frac{f(3) - f(0)}{3}$

Calculate f(3) and f(0)

$f(x) = 16(\frac{1}{2})^x$

$f(3) = 16(\frac{1}{2})^3 = 16 * \frac{1}{8} = 2$

$f(0) = 16(\frac{1}{2})^0 = 16 * 1 = 16$

So:

$Rate = \frac{f(3) - f(0)}{3}$

$Rate = \frac{2 - 16}{3}$

$Rate = -\frac{14}{3}$

For g(x)

$Rate = \frac{g(b) - g(a)}{b - a}$

$Rate = \frac{g(3) - g(0)}{3 - 0}$

$Rate = \frac{g(3) - g(0)}{3}$

From the table of g(x)

$g(3) = 1$

$g(1) = 27$

So:

$Rate = \frac{1 - 27}{3}$

$Rate = -\frac{26}{3}$

For h(x)

$Rate = \frac{h(b) - h(a)}{b - a}$

$Rate = \frac{h(3) - h(0)}{3 - 0}$

$Rate = \frac{h(3) - h(0)}{3}$

From the graph of h(x)

$h(3) = -3$

$h(0) = 4$

So:

$Rate = \frac{-3 - 4}{3}$

$Rate = -\frac{7}{3}$

So, the calculated rates of change are:

$f(x) = -\frac{14}{3}$ $= -4.67$

$g(x) = -\frac{26}{3}$ $=-8.67$

$h(x) = -\frac{7}{3}$ $=-2.33$

By comparison:

From the fastest decreasing to slowest, the order is: g(x), f(x) and h(x)

4 0

3 years ago

PLEASE HELP W/ THIS ASAP!!

Leni [432]

Answer:

- 1.375

Step-by-step explanation:

Each dot is worth -1/8 of a unit when moving left.

So the coordinates of the dark dot are - 1 and - 3/8

or - 1.375 . The word coordinates (plural) bothers me. It all depends on how you have been asked to represent these points. Another possibility is (-1.375,0). You have to choose from the examples you have been given. I wouldn't do that because you have not been given and xy graph.

3 0

2 years ago

A right triangle has a hypotenuse with a length of 130 cm. One leg has a length of 100 cm. What is the length of the other leg o

saveliy_v [14]

Answer:

B. √6900

Step-by-step explanation:

The square length of hypotenuse is equal to sum of square length of two legs let x represent the other leg

130^2 = 100^2 + x^2

16900 = 10000 + x^2 subtract 10000 from both sides

6900 = x^2 find the root for both sides

x = √6900

3 0

2 years ago