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4 years ago

Determine if the equation has no solution, one solution, or infinitely many solutions.

Mathematics

1 answer:

frutty [35]4 years ago

5 0

Answer:

OPTION B: ONE SOLUTION

Step-by-step explanation:

The given equation is: 7(12 - 2x) = 4(3 - 3x)

Using distributive property, we get:

7.12 - 7.2x = 4.3 - 4.3x

⇒ 84 - 14x = 12 - 12x

⇒ 72 = 2x

⇒ x = 36, the only value of x.

So, we say that the given equation has a unique solution.

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Positive angles located in the fourth quadrant may be described as___.

gladu [14]

Answer:

Positive angles located in the fourth quadrant may be described as<u> 270≤Ф≤360 .</u>

The option is

4. 270≤Ф≤360

Step-by-step explanation:

When the terminal arm of an angle starts from the x-axis in the anticlockwise direction then the angles are always positive angles.

For Example.

Quadrant I - 0 to 90°

Quadrant II - 90° to 180°

Quadrant III - 180° to 270°

Quadrant IV - 270° to 360° ( 4. 270≤Ф≤360 )

Hence,Positive angles located in the fourth quadrant may be described as<u> 270≤Ф≤360 .</u>

When the terminal arm of an angle starts from the x-axis in the clockwise direction than the angles are negative angles.

Quadrant IV - 0° to -90°

Quadrant III - - 90° to -180°

Quadrant II - -180° to -270°

Quadrant I - -270° to -360°

5 0

3 years ago

I NEED HELP ASAP!!!!!! I WILL GIVE PRAILIEST TO THE CORRECT ANSWER

Norma-Jean [14]

-13 (q + 4) = 7q + 16

I think to solve it you do this first:

-13q + -52 = 7q + 16

And then I think you do:

-6q + -36

And thats all I can remember sorry ):

That -6q + -36 might be the answer I think (:

Hope I could help (:

3 0

3 years ago

Construct the confidence interval for the population standard deviation for the given values. Round your answers to one decimal

Alex777 [14]

Answer:

The correct answer is " $2.633< \sigma < 4.480$ ".

Step-by-step explanation:

Given:

n = 21

s = 3.3

c = 0.9

now,

$df = n-1$

$=20$

⇒ $x^2_{\frac{\alpha}{2}, n-1 }$ = $x^2_{\frac{0.9}{2}, 21-1 }$

= $31.410$

⇒ $x^2_{1-\frac{\alpha}{2}, n-1 }$ = $10.851$

hence,

The 90% Confidence interval will be:

= $\sqrt{\frac{(n-1)s^2}{x^2_{\frac{\alpha}{2}, n-1 }} } < \sigma < \sqrt{\frac{(n-1)s^2}{x^2_{1-\frac{\alpha}{2}, n-1 }}$

= $\sqrt{\frac{(21-1)3.3^2}{31.410} } < \sigma < \sqrt{\frac{(21.1)3.3^2}{10.851} }$

= $\sqrt{\frac{20\times 3.3^2}{31.410} } < \sigma < \sqrt{\frac{20\times 3.3^2}{10.851} }$

= $2.633< \sigma < 4.480$

4 0

3 years ago

Which statement about the equation y = 4x + 6 is true?

Ede4ka [16]

Answer:

x= $\frac{y}{4}$ - $\frac{3}{2}$

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A group of 22 students participated in a race. Their scores are below: Score (points) 4–5 6–7 8–9 10–11 12–13 Number of Students

Anna71 [15]

A histogram would best represent the data.
Dot plot is a good way to show a certain trend. However, when it comes to the number of a item, in this case the number of students in a certain score range, a histogram will be the most intuitive and concise. Thus, a histogram best represent the data presented here.

6 0

3 years ago