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skelet666 [1.2K]

2 years ago

8

X is less than or equal to -8 graphed on a number line

1 answer:

gulaghasi [49]2 years ago

4 0

What you must do for this case is to take all the numbers that satisfy the following inequality
x <= - 8
Notice that the inequality solution is
(-inf, -8]
In the graph the parenthesis implies that the value of minus infinity is not included. The bracket implies that the value x = -8 is included in the solution of the inequality.
See attached graph.

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Tim must read 2 books from a list of 7 recommended books for his summer reading program. In how many different ways can Tim choo

Marianna [84]

There are 21 ways Tim choose 2 books from the 7 recommended book

<em><u>Solution:</u></em>

Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program

To find: different ways can Tim choose 2 books from the 7 recommended books

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

<em><u>The formula for combinations is:</u></em>

$n C_{r}=\frac{n !}{r !(n-r) !}$

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 books from 7 books

Therefore, n = 7 and r = 2

<em><u>Substituting values in above formula, we get</u></em>

$\begin{aligned}&7 C_{2}=\frac{7 !}{2 !(7-2) !}\\\\&7 C_{2}=\frac{7 !}{2 ! \times 5 !}\end{aligned}$

For a number n, the factorial of n can be written as,

$n !=n \times(n-1) \times(n-2) \dots \dots \times 2 \times 1$

Therefore, we get

$7 C_{2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 5 \times 4 \times 3 \times 2 \times 1}\\\\7C_2 = 7 \times 3 = 21$

Thus there are 21 ways Tim choose 2 books from the 7 recommended book

7 0

3 years ago

A programmer wants to display how the shape of a rectangle with a fixed perimeter of 375 inches can be changed by varying the re

Nina [5.8K]

Answer:

A = 187.5L - L^2

So,

g(l) = 187.5l - l^2

Step-by-step explanation:

The perimeter of a rectangle is given by:

P = 2(L + B)

Where P = perimeter

L = Length

B = Width

Making B the subject of formula, we have;

B = P/2 - L ......1

The area of a rectangle is:

A = L × B ........2

Substituting equation 1 to 2.

A = L × (P/2 - L)

A = LP/2 - L^2 .......3

Given that the perimeter P = 375 inches

A = L(375)/2 - L^2

A = 187.5L - L^2

So,

g(l) = 187.5l - l^2

7 0

2 years ago

What is the approximate solution to this equation?

Citrus2011 [14]

The answer is B because 5^3 is 125 so the approximate answer is 124.75

6 0

2 years ago

Read 2 more answers

In a continuous series, mean(x) = 80, assumed mean(A) = 60 and<br>EF=40 then find the value of EFd.

Aneli [31]

Using the given information, the value of Σfd is 800

<h3>Calculating mean using Assumed mean </h3>

From the question, we are to determine the value of Σfd

The formula for mean, using the assumed mean method is given by

$\bar x = A + \frac{\sum fd}{\sum f}$

Where $\bar x$ is the mean

A is the assumed mean

From the given information,

$\bar x = 80$

$A = 60$

$\sum f = 40$

Putting the parameters into the equation, we get

$80 = 60 + \frac{\sum fd}{40}$

$80-60 = \frac{\sum fd}{40}$

$20 = \frac{\sum fd}{40}$

$\sum fd = 20 \times 40$

$\sum fd = 800$

Hence, the value of Σfd is 800

Learn more on Mean here: brainly.com/question/20118982

#SPJ1

8 0

2 years ago

In triangle ABC, m∠A=(6x+9)∘, m∠B=(x−8)∘, and the exterior angle at C is 141∘.

Sphinxa [80]

Answer:

12°

Step-by-step explanation:

Let's start with the easy first.

We know that m∠C is 39° because together ∠C and the exterior angle equal 180°. And 180 - 141 = 39.

Now, we can use this to find the remaining two angles.

180° - 39° = 141°

So, this means that we can set up m∠A + m∠B = 141°.

6x + 9 + x - 8 = 141

7x + 1 = 141

7x = 140

x = 20

Finally, we can plug in for our x value and find m∠B.

m∠B = x - 8

m∠B = 20 - 8

m∠B = 12°

3 0

2 years ago