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Tomtit [17]
2 years ago
11

Graph the solution set for this -6x-3y<-18

Mathematics
1 answer:
brilliants [131]2 years ago
3 0

Answer: See the graph attached.

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Where:

m: slope.

b: y-intercept.

Solve for y:

-6x-3y

When you multiply by -1, the direction of the symbol changes. Then:

(-1)-y-2x+6

Then:

-You must graph the line:

y=-2x+6

Which has the slope -2 and intersects the y-axis at y=6

(The line is dashed for symbols < and > )

- Shade the region above the line (Because the symbol is >)

Therefore, you obtain the graph shown attached.

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^^^!!! 25 pOinTs (seriously help)
bonufazy [111]

Answer:

A)   Θ = 2A/r²

Step-by-step explanation:

A = Θr²/2

(Multiple both sides by 2)

2A = Θr²

(Divide both sides by r²)

2A/r² = Θ

7 0
3 years ago
Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. Th
denpristay [2]

Answer:

(1) Correct option is B.

(2) Correct option is C.

Step-by-step explanation:

The information provided is:

n_{1}=200,\ \bar x_{1}=22.7,\ s_{1} = 4.5\\n_{2}=200,\ \bar x_{2}=19.7,\ s_{2} = 4.3

The (1 - <em>α</em>)% confidence interval for the difference between two mean is:

CI=\bar x_{1}-\bar x_{2}\pm t_{\alpha/2, (n_{1}+n_[2}-2}\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}} }

The critical value of <em>t</em> is:

\alpha /2=0.05/2=0.025

degrees of freedom =n_{1}+n_{2}-2=200+200-2=398

t_{\alpha/2, n_{1}+n_{2}-2}=t_{0.025, 398}=1.96

Compute the 95% confidence interval for the difference between two mean as follows:

CI=22.7-19.7\pm 1.96\sqrt{\frac{4.5^{2}}{200}+\frac{4.3^{2}}{200} }\\=3\pm0.8624\\=(2.1376, 3.8624)\\\approx(2.14, 3.86)

Thus, the 95% confidence interval, (2.14, 3.86) implies that the true mean difference value is contained in this interval with probability 0.95.

Correct option is B.

The null value of the difference between means is 0.

As the value 0 is not in the interval this implies that there is a difference between the two means, concluding that priming does have an effect on scores.

Correct option is C.

4 0
3 years ago
I need help on how I would find the roots to these problems.( show steps please)
katen-ka-za [31]
You need to state the original function(s) to find the additional roots.
3 0
3 years ago
7.34 in scientific notation
Allushta [10]

Answer:

7.34×10⁰

Unless you're missing something in your question then that'd be it I guess... There isn't really a reason to put 7.34 in scientific notation though, so I'm assuming something isn't loading for me (or the question was changed).

6 0
2 years ago
Which of the following is not a tool that can be used in a true Geometric construction? a)Protractor b)Compass c)Straightedge
AleksAgata [21]

Answer:

A) Protractor

Step-by-step explanation:

In Mathematics, geometric constructions refers to the drawing of geometric shapes, lines and angles with the exclusive aid of a pencil, straightedge/ruler and a pair of compass.

The pencil is the major drawing tool during the construction while the pair of compass and straightedge are used to construct arcs/circles and straight lines respectively. Note that, a PROTRACTOR is not needed in a geometric construction because length or angle measurements are prohibited.

4 0
2 years ago
Read 2 more answers
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