The answer is C because complimentary is equal to 90 so 24+66 equals 90 and 34+56 equal 90
Answer:
D = 141
Step-by-step explanation:
The given quadratic equation is
.
It is required to find the value of the discriminant. The value of discriminant of any quadratic equation is given by :
![D=b^2-4ac](https://tex.z-dn.net/?f=D%3Db%5E2-4ac)
Here, a = 5, b = 9 and c = -3
On plugging all the values, we get :
![D=(9)^2-4\times 5\times (-3)\\\\D=141](https://tex.z-dn.net/?f=D%3D%289%29%5E2-4%5Ctimes%205%5Ctimes%20%28-3%29%5C%5C%5C%5CD%3D141)
So, the value of discriminant for y is 141.
Answer: The average of the first two test scores is 97.
Step-by-step explanation: Given that Kristie has taken five tests in science class. The average of all five of Kristie's test scores is 94 and the average of her last three test scores is 92.
We are to find the average score of her first two tests.
Let a1, a2, a3, a4 and a5 be teh scores of Kristle in first , second, third, fourth and fifth tests respectively.
Then, according to the given information, we have
![\dfrac{a1+a2+a3+a4+a5}{5}=94\\\\\Rightarrow a1+a2+a3+a4+a5=94\times5\\\\\Rightarrow a1+a2+a3+a4+a5=470~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)](https://tex.z-dn.net/?f=%5Cdfrac%7Ba1%2Ba2%2Ba3%2Ba4%2Ba5%7D%7B5%7D%3D94%5C%5C%5C%5C%5CRightarrow%20a1%2Ba2%2Ba3%2Ba4%2Ba5%3D94%5Ctimes5%5C%5C%5C%5C%5CRightarrow%20a1%2Ba2%2Ba3%2Ba4%2Ba5%3D470~~~~~~~~~~~~~~~~~~~~~~~~~~~%28i%29)
and
![\dfrac{a3+a4+a5}{3}=92\\\\\Rightarrow a3+a4+a5=92\times3\\\\\Rightarrow a3+a4+a5=276~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)](https://tex.z-dn.net/?f=%5Cdfrac%7Ba3%2Ba4%2Ba5%7D%7B3%7D%3D92%5C%5C%5C%5C%5CRightarrow%20a3%2Ba4%2Ba5%3D92%5Ctimes3%5C%5C%5C%5C%5CRightarrow%20a3%2Ba4%2Ba5%3D276~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%28ii%29)
Subtracting equation (ii) from equation (i), we get
![(a1+a2+a3+a4+a5)-(a3+a4+a5)=470-276\\\\\Rightarrow a1+a2=194\\\\\Rightarrow \dfrac{a1+a2}{2}=\dfrac{194}{2}\\\\\Rightarrow \dfrac{a1+a2}{2}=97.](https://tex.z-dn.net/?f=%28a1%2Ba2%2Ba3%2Ba4%2Ba5%29-%28a3%2Ba4%2Ba5%29%3D470-276%5C%5C%5C%5C%5CRightarrow%20a1%2Ba2%3D194%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7Ba1%2Ba2%7D%7B2%7D%3D%5Cdfrac%7B194%7D%7B2%7D%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7Ba1%2Ba2%7D%7B2%7D%3D97.)
Thus, the average of the first two test scores is 97.
Answer: you multiply the 2 numbers and divide it by half then your answer is the easy way to do it.
Step-by-step explanation: