Step-by-step explanation:
log(x+2)-log(x-1)=log2
log(x+2)/(x-1)=log2
=> (x+2)=2(x-1)
=>x+2 =2x-2
=> x=4
You need to set up a linear graph. One side with gallons and the other with dollars. Point 1 will be at (1500, 2.10). Point 2 (1300, 2.95). Draw a straight line through these points in your graph and your graph will then give you the answers to your other questions.
Answer:
12m -15
Step-by-step explanation:
Distribute
3(4m-5)
3*4m -3*5
12m -15
Answer:
A, C, and E good luck
Step-by-step explanation:
Answer:
<h3> x = -9, y = -13 </h3><h3> or x = 13, y = 9</h3><h3> or x = -13, y = -9</h3><h3> or x = 9, y = 13</h3>
Step-by-step explanation:
![x^2+y^2=250\\\\x^2-2xy+y^2+2xy=250\\\\(x-y)^2=250-2xy\\\\(x-y)^2=250-2\cdot117\\\\ (x-y)^2=16\\\\x-y=4\qquad\qquad\vee\qquad \qquad x-y=-4\\\\x=4+y \qquad\qquad \vee\qquad\qquad x=-4+y\\\\(y+4)y=117\qquad\vee\qquad\quad (y-4)y=117\\\\y^2+4y-117=0\qquad\vee\qquad y^2-4y-117=0\\\\y=\dfrac{-4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\qquad\vee\qquad y=\dfrac{4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\\\\y=\dfrac{-4\pm\sqrt{16+468}}{2}\qquad\ \ \vee\qquad y=\dfrac{4\pm\sqrt{16+468}}{2}](https://tex.z-dn.net/?f=x%5E2%2By%5E2%3D250%5C%5C%5C%5Cx%5E2-2xy%2By%5E2%2B2xy%3D250%5C%5C%5C%5C%28x-y%29%5E2%3D250-2xy%5C%5C%5C%5C%28x-y%29%5E2%3D250-2%5Ccdot117%5C%5C%5C%5C%20%28x-y%29%5E2%3D16%5C%5C%5C%5Cx-y%3D4%5Cqquad%5Cqquad%5Cvee%5Cqquad%20%5Cqquad%20%20x-y%3D-4%5C%5C%5C%5Cx%3D4%2By%20%5Cqquad%5Cqquad%20%5Cvee%5Cqquad%5Cqquad%20x%3D-4%2By%5C%5C%5C%5C%28y%2B4%29y%3D117%5Cqquad%5Cvee%5Cqquad%5Cquad%20%28y-4%29y%3D117%5C%5C%5C%5Cy%5E2%2B4y-117%3D0%5Cqquad%5Cvee%5Cqquad%20y%5E2-4y-117%3D0%5C%5C%5C%5Cy%3D%5Cdfrac%7B-4%5Cpm%5Csqrt%7B4%5E2-4%28-117%29%7D%7D%7B2%5Ccdot1%7D%5Cqquad%5Cvee%5Cqquad%20y%3D%5Cdfrac%7B4%5Cpm%5Csqrt%7B4%5E2-4%28-117%29%7D%7D%7B2%5Ccdot1%7D%5C%5C%5C%5Cy%3D%5Cdfrac%7B-4%5Cpm%5Csqrt%7B16%2B468%7D%7D%7B2%7D%5Cqquad%5C%20%5C%20%5Cvee%5Cqquad%20y%3D%5Cdfrac%7B4%5Cpm%5Csqrt%7B16%2B468%7D%7D%7B2%7D)
![y_1=\dfrac{-4-22}{2}\ ,\quad y_2=\dfrac{-4+22}{2}\ ,\quad y_3=\dfrac{4-22}{2}\ ,\quad y_4=\dfrac{4+22}{2}\\\\y_1=-13\ ,\qquad y_2=9\ ,\qquad\quad\qquad\ y_3=-9\ ,\qquad y_4=13\\\\x_{1,2}=4+y_{1,2}\qquad\qquad\qquad\qquad\qquad x_{3,4}=-4+y_{3,4}\\\\x_1=-9\ ,\qquad x_2=13\ ,\qquad\quad\qquad x_3=-13\ ,\qquad x_4=9](https://tex.z-dn.net/?f=y_1%3D%5Cdfrac%7B-4-22%7D%7B2%7D%5C%20%2C%5Cquad%20y_2%3D%5Cdfrac%7B-4%2B22%7D%7B2%7D%5C%20%2C%5Cquad%20y_3%3D%5Cdfrac%7B4-22%7D%7B2%7D%5C%20%2C%5Cquad%20y_4%3D%5Cdfrac%7B4%2B22%7D%7B2%7D%5C%5C%5C%5Cy_1%3D-13%5C%20%2C%5Cqquad%20y_2%3D9%5C%20%2C%5Cqquad%5Cquad%5Cqquad%5C%20y_3%3D-9%5C%20%2C%5Cqquad%20y_4%3D13%5C%5C%5C%5Cx_%7B1%2C2%7D%3D4%2By_%7B1%2C2%7D%5Cqquad%5Cqquad%5Cqquad%5Cqquad%5Cqquad%20x_%7B3%2C4%7D%3D-4%2By_%7B3%2C4%7D%5C%5C%5C%5Cx_1%3D-9%5C%20%2C%5Cqquad%20x_2%3D13%5C%20%2C%5Cqquad%5Cquad%5Cqquad%20x_3%3D-13%5C%20%2C%5Cqquad%20x_4%3D9)