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4 years ago

A line has the equation y=3x+2. This line has a slope

Mathematics

1 answer:

777dan777 [17]4 years ago

7 0

Answer: 3

Step-by-step explanation:

The formula for finding equation of a line in slope - intercept form is given as :

$y = mx + c$

Where m is the slope and c is the y - intercept.

Equation given :

$y = 3x + 2$ , comparing with $y = mx + c$ ,

$m = 3$

Therefore , slope = 3

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miskamm [114]

Answer:

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2 years ago

Which values are in the solution set of the compound inequality? Select two options

zhannawk [14.2K]

The values are in the solution set of the compound inequality are (-6, -3), (3, 8).

<h3>What is inequality?</h3>

Inequality is the phenomenon of unequal distribution of resources and opportunities among the given function.

To find the number that are solutions to the compound inequalities, the value of x is

First inequality:

4(x +3) ≤0

4x +12 ≤0

4x ≤-12

x ≤-3

The value of x lies in the interval = (-∞ , -3]

Second inequality:

x +1 >3

x>2

The value of x lies in the interval = (2 , ∞)

So, the interval solution is (-∞ , -3] U (2 , ∞)

Thus, the values are in the solution set of the compound inequality are (-6, -3), (3, 8).

Learn more about inequality.

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7 0

2 years ago

n a Gallop poll of 1012 randomly selected adults, 9% said that cloning of humans should be allowed. We are going to use a .05 si

Vanyuwa [196]

Answer:0.1446

Step-by-step explanation:

Let p be the population proportion of adults say that cloning of humans should be allowed.

As per given , the appropriate set of hypothesis would be :-

$H_0: p\geq0.10\\\\ H_a: p$

Since $H_a$ is left-tailed and sample size is large(n=1012) , so we perform left-tailed z-test.

Given : The test statistic for this test is -1.06.

P-value for left tailed test,

P(z<-1.06)=1-P(z<1.06) [∵P(Z<-z)=1-P(Z<z]

= $1-0.8554=0.1446$ (Using z-value table.)

Hence, the p-value for this test statistic= 0.1446

4 0

3 years ago

Sandra notices a fourth racer called the Whirlwind. Its poster says it covers 1232 yards in 180 seconds. She wants to compare th

Daniel [21]

Answer:

6.8yards/seconds

Step-by-step explanation:

Speed = Distance/Time

Given the following

Distance covered = 1232 yards

Time taken = 180 seconds

Substitute to get the speed

Speed = 1232/180

Speed = 6.84

Hence whirlwind's speed in yards per seconds to the nearest tenth is 6.8yards/seconds

4 0

3 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

sergiy2304 [10]

Answer:

The measure of angle θ is 7π/6. The measure of its reference angle is <u>210°</u>

and sin θ is <u>-1/2</u>.

Step-by-step explanation:

The correct question is:

<em>The measure of angle θ is 7π/6. The measure of its reference angle is ___</em>

180° is equivalent to π radians. To transform 7π/6 radians to degrees, we have to use the following proportion:

180° / π radians = x° / (7π/6 radians)

x = (180/π) * (7π/6 radians)

x = 210°

And sin(210°) = -1/2

6 0

3 years ago