Answer:
(-
, -
)
Step-by-step explanation:
We have the sysytem of linear equation:
- -5x+y= 26 (1)
- 2x- y= 167 <=> y = 2x -176 (2)
Let substitute (2) into (1) we have"
-5x + (2x-176)= 26
<=> -3x = 26+176
<=> x = -
Substitute x = -
into (2) we have:
y = 2(-
) -176 = -
The ordered pair is the solution to the system of linear equations is (-
, -
)
Hope it will find you well
Answer:
10
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
With the given information,
35 = 1/2 * 7 * H
35 = 3.5 * H simplify
10 = H divide both sides by 3.5
Hello.
Firstly, we need to simplify the function:
![\mathsf{f(x) = (3x - 5) \times (x + 9)} \\ \\ \mathsf{f(x) = 3x^{2} - 5x + 27x - 45} \\ \\ \mathsf{f(x) = 3x^{2} + 22x - 45}](https://tex.z-dn.net/?f=%5Cmathsf%7Bf%28x%29%20%3D%20%283x%20-%205%29%20%5Ctimes%20%28x%20%2B%209%29%7D%20%5C%5C%20%5C%5C%20%5Cmathsf%7Bf%28x%29%20%3D%203x%5E%7B2%7D%20-%205x%20%2B%2027x%20-%2045%7D%20%5C%5C%20%5C%5C%20%5Cmathsf%7Bf%28x%29%20%3D%203x%5E%7B2%7D%20%2B%2022x%20-%2045%7D)
The graph crosses the 'x' axis when y = 0. Ergo:
![\mathsf{3x^{2} + 22x - 45 = 0} \\ \\ \\ \mathsf{\triangle = b^{2} - 4ac} \\ \\ \mathsf{\triangle = 484 - 4 \times 3 \times (-45)} \\ \\ \mathsf{\triangle = 484 + 540} \\ \\ \mathsf{\triangle = 1024} \\ \\ \\ \mathsf{x = \dfrac{-b \pm \sqrt{\triangle}}{2a}} \\ \\ \\ \mathsf{x_{1} = \dfrac{-22 + 32}{6} = \dfrac{10}{6} = \dfrac{5}{3}} \\ \\ \\ \mathsf{x_{2} = \dfrac{-22 - 32}{6} = \dfrac{-54}{6} = -9}](https://tex.z-dn.net/?f=%5Cmathsf%7B3x%5E%7B2%7D%20%2B%2022x%20-%2045%20%3D%200%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Cmathsf%7B%5Ctriangle%20%3D%20b%5E%7B2%7D%20-%204ac%7D%20%5C%5C%20%5C%5C%20%5Cmathsf%7B%5Ctriangle%20%3D%20484%20-%204%20%5Ctimes%203%20%5Ctimes%20%28-45%29%7D%20%5C%5C%20%5C%5C%20%5Cmathsf%7B%5Ctriangle%20%3D%20484%20%2B%20540%7D%20%5C%5C%20%5C%5C%20%5Cmathsf%7B%5Ctriangle%20%3D%201024%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Cmathsf%7Bx%20%3D%20%5Cdfrac%7B-b%20%5Cpm%20%5Csqrt%7B%5Ctriangle%7D%7D%7B2a%7D%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Cmathsf%7Bx_%7B1%7D%20%3D%20%5Cdfrac%7B-22%20%2B%2032%7D%7B6%7D%20%3D%20%5Cdfrac%7B10%7D%7B6%7D%20%3D%20%5Cdfrac%7B5%7D%7B3%7D%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Cmathsf%7Bx_%7B2%7D%20%3D%20%5Cdfrac%7B-22%20-%2032%7D%7B6%7D%20%3D%20%5Cdfrac%7B-54%7D%7B6%7D%20%3D%20-9%7D)
Therefore, the graph crosses the x axis when x = -9 and 5/3.
Hope I helped.
The standard deviation is 1, I believe...
Jane did not show factors of 8, she showed multiples of 8. Factors of 8 would be 1, 2, 4, and 8