Answer:
<u>The ordered pair of the solution is (0.022, -0.55). None of the alternatives given we can consider as the best estimate because there isn't at least one positive value for x, when it's actually positive. Picking (0, -2) as the best estimate is also far from the best estimate.</u>
Step-by-step explanation:
Let's solve the system of equations:
y = −25x
−2y = 5x+1
***********************
Substituting y in the 2nd equation:
-2 (-25x) = 5x + 1
50x = 5x + 1
45x = 1
x = 1/45
x = 0.022
**********************
Solving for y in the 1st equation:
y = -25 (0.022)
y = - 0.55
<u>The ordered pair of the solution is (0.022, -0.55). None of the alternatives given we can consider as the best estimate because there isn't at least one positive value for x, when it's actually positive. Picking (0, -2) as the best estimate is also far from the best estimate.</u>
Answer:
Explanation:
Here, we want to find the time the rocket will hit the ground
What we have to do is to substitute 0 for the height of the rocket y and solve the quadratic equation that results
That simply means we are solving for:
We can use the quadratic formula to solve this
![x\text{ = }\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%5Ctext%7B%20%3D%20%7D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
where a is the coefficient of x^2 which is -16
b is the coefficient of x which is 149
c is the last number which is 108
Substituting the values, we have it that:
![\begin{gathered} x\text{ = }\frac{-149\pm\sqrt[]{149^2-4(-16)(108)}}{2(-16)} \\ \\ x\text{ = }\frac{-149\pm\sqrt[]{29113}}{-32}\text{ } \\ \\ x\text{ = }\frac{-149-170.625\text{ }}{-32} \\ or\text{ } \\ x\text{ = }\frac{-149_{}+170.625}{-32} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5Ctext%7B%20%3D%20%7D%5Cfrac%7B-149%5Cpm%5Csqrt%5B%5D%7B149%5E2-4%28-16%29%28108%29%7D%7D%7B2%28-16%29%7D%20%5C%5C%20%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Cfrac%7B-149%5Cpm%5Csqrt%5B%5D%7B29113%7D%7D%7B-32%7D%5Ctext%7B%20%7D%20%5C%5C%20%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Cfrac%7B-149-170.625%5Ctext%7B%20%20%20%7D%7D%7B-32%7D%20%5C%5C%20or%5Ctext%7B%20%7D%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Cfrac%7B-149_%7B%7D%2B170.625%7D%7B-32%7D%20%5Cend%7Bgathered%7D)
Now, we proceed to get the individual x-values:
Since time cannot be negative, we use the first value only
Answer:
2ax − 6ay + bx − 3
Step-by-step explanation:
The expression is not factorable with rational numbers
Supplementary angles sum to 180 degrees.
So if one angle is 20 degree more than the other...
x+(x+20)=180
2x+20=180
2x=160
x=80
x+20=100
answer: 80° and 100°
Answer:
oof
Step-by-step explanation:
