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3 years ago

Which ordered pair is not included in the graph of p=3m+6

Mathematics

1 answer:

Rasek [7]3 years ago

4 0

Answer:

(3,12) and (6,18)

Step-by-step explanation:

An order pair is not included if it make the equation false. Substitute each pair to determine this.

(1,9) ----> 9 = 3(1) + 6 -----> 9 = 9 TRUE

(3,12) ---> 12 = 3(3) + 6 ----> 12 = 15 FALSE

(10,36) ---> 36 = 3(10) + 6 -----> 36 = 36 TRUE

(6,18) ----> 18 = 3(6) + 6 ----> 18 = 24 FALSE

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1/7 of all students achieved great success in the written exercise in mathematics. 3/7 very good success. 2/7 good success, whil

laila [671]

Answer:

x = 28

Step-by-step explanation:

Let the total number of students = x

x/7 + 3x/7 + 2x/7 + 4 = x If that is all there is. If it isn't the problem can't be done. Combine like terms.

x(1 + 3 + 2)/7 + 4 = x

x (6/7) + 4 = x Subtract 6x/7 from both sides

4 = x - 6x/7

4 = 7x/7 - 6x/7 Combine

4 = 1/7x Multiply both sides by 7

4*7 = 7x / 7

x = 28

6 0

2 years ago

16 times 99 Thank you for helping! :D

jarptica [38.1K]

Answer:

1584 is your answer that you are looking for

5 0

3 years ago

Based on the scatterplot and the value of the correlation coefficient, it would make sense to test the significance of this obse

Aleks [24]

Answer:

d. H0: melanoma mortality rate is not linearly related to latitude

Ha: melanoma mortality rate is linearly related to latitude

Step-by-step explanation:

The linear regression equation is

y=α+βx where α=intercept and β=slope.

β=slope demonstrates the change in dependent variable due to unit change in independent variable.

If the slope is zero then we can say that Y and X are not linearly related.

Thus, the hypothesis for testing significance of linear relationship two variables can be written as

Null hypothesis: The two variables are not linearly related i.e. β=0

Alternative hypothesis : The two variables are linearly related i.e. β≠0.

Thus, in the given scenario the hypothesis are

H0: melanoma mortality rate is not linearly related to latitude

Ha: melanoma mortality rate is linearly related to latitude.

5 0

3 years ago

Which statement is true about the slope of the graphed line?

Sonbull [250]

B. the slope is positive because its in a straight line

4 0

3 years ago

Evaluate the integral. (sec2(t) i t(t2 1)8 j t7 ln(t) k) dt

polet [3.4K]

If you're just integrating a vector-valued function, you just integrate each component:

$\displaystyle\int(\sec^2t\,\hat\imath+t(t^2-1)^8\,\hat\jmath+t^7\ln t\,\hat k)\,\mathrm dt$

$=\displaystyle\left(\int\sec^2t\,\mathrm dt\right)\hat\imath+\left(\int t(t^2-1)^8\,\mathrm dt\right)\hat\jmath+\left(\int t^7\ln t\,\mathrm dt\right)\hat k$

The first integral is trivial since $(\tan t)'=\sec^2t$ .

The second can be done by substituting $u=t^2-1$ :

$u=t^2-1\implies\mathrm du=2t\,\mathrm dt\implies\displaystyle\frac12\int u^8\,\mathrm du=\frac1{18}(t^2-1)^9+C$

The third can be found by integrating by parts:

$u=\ln t\implies\mathrm du=\dfrac{\mathrm dt}t$

$\mathrm dv=t^7\,\mathrm dt\implies v=\dfrac18t^8$

$\displaystyle\int t^7\ln t\,\mathrm dt=\frac18t^8\ln t-\frac18\int t^7\,\mathrm dt=\frac18t^8\ln t-\frac1{64}t^8+C$

8 0

4 years ago