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2 years ago

Srry I just don’t understand 12 points

Mathematics

2 answers:

marshall27 [118]2 years ago

6 0

Answer:

y = -2x - 3

Step-by-step explanation:

Please look carefully at this graph. There are two red dots on the graph. The x- and y-coordinates of one are (-5,7) and those of the other are (0,-3).

Now as we move to the right, from (-5,7) to (0,-3), x increases by 5 and y decreases by 10 (note that 7-10 is -3). Thus, the slope of this line is

m = rise / run = -10/5, or m = -2.

Then the equation of this line, in point-slope form, is

y-7 = -2(x-[-5])x, or y-7 = -2(x+5). This is in point-slope form.

If you'd like to have it in slope-intercept form, manipulate y-7 = -2(x+5) as follows: (a) add 7 to both sides, obtaining y = -2(x+5) + 7, and (b) perform the indicated multiplication: y = -2x - 10 + 7, or y = -2x - 3.

AVprozaik [17]2 years ago

5 0

Answer:

y=2x-3

Step-by-step explanation:

1) Evaluate

Make an equation based on the graph. This equation would consist of the y-intercept and slope.

2) Solve

To find the y-intercept find the point on the graph that touches the y axis. That would be -3. It would be stated in the equation as -3.
Now find the slope. To find the slope you must figure out the $\frac{rise}{run}$ . The rise is the amount the number goes up or down to a solid point. The rise for this graph is 2. The run is the amount the number goes left or right to a solid point. The run in this graph is 1. To state the slope simply write it as 2x.

3) Conclusion

Now that you have figured out the slope is 2 and the y-intercept is -3 write it in an equation.

The equation would look like:

y=2x-3

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3 years ago

Long division with 489

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Step-by-step explanation:

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3 years ago

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It is given that one number is 6 more than another. If three times the sum of the two numbers is equal to 22 more than the large

Irina-Kira [14]

Answer:

First number=22

Second number=28

Step-by-step explanation:

Since you don't know either of the numbers we can call the first number x. The second number is the first number plus 6 or x+6. The sum is 22 more than the larger number so x+6+22 or x+28. Using this we can create the equation x+x+6=x+28. In order to isolate x we would subract x from both sides ending up with x+6=28. Then subract 6 from both sides to get x=22. This means the first number equals 22. Then to solve for the second number you plug 22 in for x to get the equation 22+6= the second number, so the second number is equal to 28. Look below for just the equation.

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3 years ago

Find the value of the test statistic z using . The claim is that the proportion of adults who smoked a cigarette in the past wee

kolezko [41]

Correct question is;

The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.35, and the sample statistics include n = 1168 subjects with 385 saying that they smoked a cigarette in the past week. Find the value of the test statistic

Answer:

Test statistic is z = -1.46

Step-by-step explanation:

Let's first of all define the hypotheses:

Null hypothesis:

H0: p = 0.35, i.e 35% in the sample of 1,168 adults have smoked cigarettes in the previous week.

Alternative hypothesis:

Ha: p < 0.35, i.e less than 35% in the sample of 1,168 adults have smoked cigarette in the previous week.

The sample size is, n = 1,168 while the number of adults who smoked in the previous week would be; x = 385

Therefore, the sample proportion of adults who smoked in the previous week would be calculated as;

p^ = x/n = 385/1168 ≈ 0.3296

Now, from Central Limit Theorem for large samples, The sampling distribution of the sample proportion p^, will have a mean of μ = p = 0.35

Formula for standard deviation is;

σ = √[p (1 – p)/n]

σ = √(0.35 × (1 – 0.35)/1168)

σ = √0.0001947774

σ = 0.014

Formula for test statistic is;

z = (p^ - p)/σ

z = (0.3296 - 0.35)/0.014

z = - 1.46

3 0

3 years ago

Simplify the expression where possible.(-4 x^2 )^2

Oduvanchick [21]

Answer:

$16x^{4}$

Step-by-step explanation:

$(a^{m})^{n}=a^{m*n} \\\\\\$ and $(a*b)^{m}= a^{m}*b^{m}$

$(-4x^{2})^{2} = (-4)^{2} *(x^{2})^{2}\\\\\\=16 * x^{2*2}\\\\=16x^{4}$

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