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3 years ago

HELP please hurry!!

Mathematics

2 answers:

Dmitriy789 [7]3 years ago

7 0

Answer: D

Step-by-step explanation:

-3x + 1 < 7

subtract 1 from both sides

-3x < 6

divide each side by -3

x > -2 (flip the greater than/less than sign because you divided by a negative)

-2 is not included so it is an open dot, and answers include all numbers greater than -2 so the answer will be D. Hope this helps!

True [87]3 years ago

7 0

Answer:

Option D

Step-by-step explanation:

–3x + 1 < 7

Isolate x by subtracting 1 from both sides of the inequality:

–3x + 1 – 1 < 7 – 1

–3x + 0 < 6

Simplify –3x < 6 by dividing both sides of the inequality by –3:

$\frac{-3x}{-3} < \frac{6}{-3}$

Use Division property of inequality, which reverses the inequality symbol when dividing both sides of the inequality by a negative number. Therefore:

$\frac{-3x}{-3} > \frac{6}{-3}$

x > – 2

Solution: x > –2

Interval notation: [(–2, ∞)]

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What function is shown by the graph below?

Airida [17]

Answer:

The function $f(x)=\sqrt{x+2}$ is shown by the graph below ⇒ 2nd answer

Step-by-step explanation:

To find the right function chose two points from the graph and substitute the x-coordinate of each point in the function to find the y-coordinate, if they are the same with the corresponding y-coordinates of the points, then the function is shown by the graph

From the figure:

The curve passes through points (-2 , 0) and (2 , 2)

∵ $f(x)=\sqrt{x-2}$

∵ x = -2

- Substitute x by -2

∴ $f(-2)=\sqrt{-2-2}$

∴ $f(-2)=\sqrt{-4}$ ⇒ it is impossible no square root for (-) number

∴ $f(x)=\sqrt{x-2}$ is not the function shown by the graph

∵ $f(x)=\sqrt{x+2}$

∵ x = -2

- Substitute x by -2

∴ $f(-2)=\sqrt{-2+2}$

∴ $f(-2)=\sqrt{0}$

∴ f(-2) = 0 ⇒ same as the y-coordinate of x = -2

∵ x = 2

- Substitute x by 2

∴ $f(2)=\sqrt{2+2}$

∴ $f(2)=\sqrt{4}$

∴ f(2) = 2 ⇒ same as the y-coordinate of x = 2

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3 years ago

What is the median for this data set?

Sever21 [200]

The meridian for this set is 3.005 (option C)

Note ➡The word Median is lime the "average" for all of the values of the particular problem

8 0

3 years ago

A random sample of 18 adults, chosen from the 1500 adults in the town, took a survey asking their opinion on a recent property t

Tamiku [17]

Answer:

C) I & III

Step-by-step explanation:

Given:

Sample size, n = 18

Sample proportion = 25% = 0.25

Here, a random sample of 18 adults were chosen from the 1500 adults in town. This shows that the random condition was satisfied because the sample was drawn randomly from the general population of adults in the town.

For the normal condition to be satisfied, np should be greater than 10, ie np > 10.

In this case, np = 18 * 0.25 = 4.5

Since np is less than 10, the normal condition was not satisfied.

For the 10% condition to be satisfied, sample size should not be more than 10% of the general population.

Here, the sample size is 18 and the population is 1500. Therefore,

$\frac{18}{1500} * 100 = 1.2$

Since the sample size is 1.2% of the population which is less than 10%, the 10% condition was satisfied.

The correct option is C, because only I & III were satisfied.

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3 years ago

Solve 4x + 1 = 3 – 2x

romanna [79]

Answer:

x = 1/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

4x + 1 = 3 - 2x

Step 2: Solve for x

Add 2x on both sides: 6x + 1 = 3
Subtract 1 on both sides: 6x = 2
Divide 6 on both sides: x = 1/3

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 4(1/3) + 1 = 3 - 2(1/3)
Multiply: 4/3 + 1 = 3 - 2/3
Add/Subtract: 7/3 = 7/3

Here we see that 7/3 does indeed equal 7/3.

∴ x = 1/3 is a solution of the equation.

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aleksandr82 [10.1K]

Answer:

approximately 12 payments.

Step-by-step explanation:

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4 years ago

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