<h3>
Answer: 7(x+3)(x-2)</h3>
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Explanation:
First factor out the GCF 7
7x^2 + 7x - 42
7*x^2 + 7*x + 7*(-6)
7(x^2 + x - 6)
Now focus on factoring x^2+x-6
We need to find two numbers that multiply to -6 and add to 1. Those values are 3 and -2. That means x^2+x-6 factors to (x+3)(x-2).
The 7(x^2 + x - 6) then turns into 7(x+3)(x-2)
The factor out front, the "7", is the integer factor. The other factors (x+3) and (x-2) are binomial factors.
Answer:=Answer1 has the regression analysis with all 4 independent variables. Using the stepwise method, we toss the one with the largest non-significant p-value which is Senior Present. Then do another regression analysis with only 3 independent variables. Answer2 has this. From this analysis we can toss education (has the largest non-significant p-value) and do another analysis which is in Answer3. In this analysis we see that Income is not quite significant (p=.0586) at the 0.05 level so we can toss it and do an analysis with Family Size as the only independent variable. This result is given in Answer4. The final regression equation has Family Size as the only independent variable and it can stay in the regression equation because it is statistically significant (p=.0003). The prediction equation is given at the bottom of Answer4. This should answer your question. If not let me know.
Step-by-step explanation:
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Answer:
1 : 3
Step-by-step explanation:
Given the following :
First day :
Patient received = 24
Patient discharged = 6
Second day :
Patient received = 8
Patient discharged = 21
First day :
Patient received = 9
Patient discharged = 6
Number of patient in the hospital at the end of the third day:
Patients received = (24 + 8 + 9) = 41
Patients discharged = (6 + 21 + 6) = 33
Patient received - patient discharged
= (41 - 33) = 8
Number of patients in hospital at the start of the three day period :
Patient received on first day = 24
Patient at the end : patient at the start
8 : 24 = 1 : 3
ESP, answer: at least 5002
The diagram shows statements to prove that both triangles are congruent.
Hence;



Step 1 showed two sides that are congruent for both triangles
Step 2 showed two angles that are congruent
Step 3 showed two sides that are congruent
Therefore, the triangles are congruent by the side-angle-side theorem