All categories

3 years ago

Graph the inequality in the coordinate plane. x > -3

Mathematics

1 answer:

Ivahew [28]3 years ago

8 0

9514 1404 393

Answer:

see attached

Step-by-step explanation:

Usually, a one-variable solution set is graphed on a number line. However, since you asked for it, the attachment shows it graphed on the coordinate plane.

You might be interested in

Write the equation of the line in slope-intercept form that has: slope: -1 and point: (1, 1)

lara31 [8.8K]

Answer:

f(x) = -1x + 1

Step-by-step explanation:

f(x) = mx + b

the equation above is slope intercept form. in order to make it you need a slope and a y intercept. you were given the slope, so now you need a y intercept. but where would you find that??? look no farther than the point you were given, (1,1). the y intercept is the second number in the parentheses. next you take your slope and your y-intercept and place them in.

f(x) = -1x + 1

hope i could help

3 0

3 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if

Mumz [18]

Answer:

$\frac{3}{16}$

Step-by-step explanation:

The common ratio is $\frac{1}{2}$

24, 12, 6, 3, $\frac{3}{2}$ , $\frac{3}{4}$ , $\frac{3}{8}$ , $\frac{3}{16}$

so divide each term by 2

<em>plz mark m brainliest. :)</em>

6 0

3 years ago

Paul,Linda,and Aaron make homemade cards. Paul can make 1 card for every 3 cards Linda makes. Linda can make 3 cards for every 2

dimaraw [331]

Answer:

Linda makes 72 more cards than Paul

during the week

Step-by-step explanation:

Here, we want to know how many cards Linda makes than Paul during the week.

We proceed as follows;

From the question;

If Paul makes 1 card, then Linda has made three

Now let’s get their relationship with Aaron;

If Aaron makes 2 cards , Linda has made three

Now since Aaron made 72 cards, Let’s say Linda has made x cards

Let’s get the value of x now

To get the value of x, we simply cross multiply;

2 - 3

72 - x

2 * x = 3 * 72

x = (3 * 72)/2 = 108 cards

Now recall , for every 3 cards of Linda, Paul made only 1;

So the number of cards Paul will make if Linda makes 108 will be 108/3 = 36

So the number of more cards that Linda makes than Paul during the week will be ; 108 -36 = 72 cards

3 0

4 years ago

Use the rules of exponents to simplify the expressions. Match the expression with its equivalent value.

Lelechka [254]

Answer:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}} = 32$

Step-by-step explanation:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}$

Solving using exponent rule: $a^{-m}=\frac{1}{a^m}$

$\frac{(-2)^{-5}}{(-2)^{-10}}\\=(-2)^{-5+10}\\=(-2)^{5}\\=-32$

So, $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4}$

Using the exponent rule: $a^m.a^n=a^{m+n}$

We have:

$2^{-1}.2^{-4}\\=2^{-1-4}\\=2^{-5}$

We also know that: $a^{-m}=\frac{1}{a^m}$

Using this rule:

$2^{-5}\\=\frac{1}{2^5}\\=\frac{1}{32}$

So, $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2$

Solving:

$(-\frac{1}{2} )^3.(-\frac{1}{2} )^2\\=(-\frac{1}{8} ).(\frac{1}{4} )\\=-\frac{1}{32}$

So, $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}}$

We know that: $a^{-m}=\frac{1}{a^m}$

$\frac{2}{2^{-4}}\\=2\times 2^4\\=2(16)\\=32$

So, $\frac{2}{2^{-4}} = 32$

3 0

3 years ago

20 points!!! first answer gets brainliast. Don't need too much explanation thank you!

KengaRu [80]

Answer:

The answer to your question is below

Step-by-step explanation:

2. $\sqrt{-128}$ Just find the prime factors of 128 and simplify

$\sqrt{-2^{7}} = \sqrt{-2^{6} 2} = 2^{3}i \sqrt{2}$

$8i\sqrt{2}$

3.- $\sqrt{-9} + \sqrt{-16}$ Get the square roots and simplify

3i + 4i

4.- None of the choices is equal to one, because the exponents are pair.

5.- 1/3x² + 10 = 7

1/3x² = 7 - 10

1/3x² = -3

x² = -3(3)

x² = -9

x = ±3i

8 0

3 years ago