Well first you should divide 10 by 4. Thats 2.5. Then you mulipltiply 2.5 by 15.
Answer:
every point will be 4 tons lower than it was
Step-by-step explanation:
26 is 4 less than 30, so the new function g(x) is ...
g(x) = f(x) -4
It is shifted down 4 units (tons) from the original function.
Answer:
<h2>BELOW </h2>
Step-by-step explanation:
7.
![\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-8,\:-11\right),\:\left(x_2,\:y_2\right)=\left(17,\:4\right)\\\\m=\frac{4-\left(-11\right)}{17-\left(-8\right)}\\\\m = \frac{4+11}{17+8}= \frac{15}{25} \\\mathrm{Refine}\\\\m=\frac{3}{5}](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%5C%5C%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%28-8%2C%5C%3A-11%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%2817%2C%5C%3A4%5Cright%29%5C%5C%5C%5Cm%3D%5Cfrac%7B4-%5Cleft%28-11%5Cright%29%7D%7B17-%5Cleft%28-8%5Cright%29%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B4%2B11%7D%7B17%2B8%7D%3D%20%5Cfrac%7B15%7D%7B25%7D%20%20%5C%5C%5Cmathrm%7BRefine%7D%5C%5C%5C%5Cm%3D%5Cfrac%7B3%7D%7B5%7D)
8.
![\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(10,\:-15\right),\:\left(x_2,\:y_2\right)=\left(13,\:-17\right)\\\\m=\frac{-17-\left(-15\right)}{13-10}\\\\m = \frac{-17+15}{13-10}\\ \\m = \frac{-2}{3}\\ \\Simplify\\m=-\frac{2}{3}](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%5C%5C%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%2810%2C%5C%3A-15%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%2813%2C%5C%3A-17%5Cright%29%5C%5C%5C%5Cm%3D%5Cfrac%7B-17-%5Cleft%28-15%5Cright%29%7D%7B13-10%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B-17%2B15%7D%7B13-10%7D%5C%5C%20%5C%5Cm%20%3D%20%20%5Cfrac%7B-2%7D%7B3%7D%5C%5C%20%5C%5CSimplify%5C%5Cm%3D-%5Cfrac%7B2%7D%7B3%7D)
9.
![\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-6,\:-7\right),\:\left(x_2,\:y_2\right)=\left(5,\:-7\right)\\\\m=\frac{-7-\left(-7\right)}{5-\left(-6\right)}\\\\m = \frac{-7+7}{5+6}\\ \\m = \frac{0}{11}\\ \\Simplify\\m=0](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%5C%5C%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%28-6%2C%5C%3A-7%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%285%2C%5C%3A-7%5Cright%29%5C%5C%5C%5Cm%3D%5Cfrac%7B-7-%5Cleft%28-7%5Cright%29%7D%7B5-%5Cleft%28-6%5Cright%29%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B-7%2B7%7D%7B5%2B6%7D%5C%5C%20%5C%5Cm%20%3D%20%5Cfrac%7B0%7D%7B11%7D%5C%5C%20%5C%5CSimplify%5C%5Cm%3D0)
10.
![\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-4,\:-3\right),\:\left(x_2,\:y_2\right)=\left(2,\:-9\right)\\\\m=\frac{-9-\left(-3\right)}{2-\left(-4\right)}\\\\m = \frac{-9+3}{2+4}\\ \\m = \frac{-6}{6} \\\\Simplify\\m =-1](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%5C%5C%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%28-4%2C%5C%3A-3%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%282%2C%5C%3A-9%5Cright%29%5C%5C%5C%5Cm%3D%5Cfrac%7B-9-%5Cleft%28-3%5Cright%29%7D%7B2-%5Cleft%28-4%5Cright%29%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B-9%2B3%7D%7B2%2B4%7D%5C%5C%20%5C%5Cm%20%3D%20%5Cfrac%7B-6%7D%7B6%7D%20%5C%5C%5C%5CSimplify%5C%5Cm%20%3D-1)
11.
![\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\mathrm{When\:}y_1\ne \:y_2\mathrm{\:and\:}\:x_1=x_2\mathrm{\:the\:slope\:is\:}\infty \\\\m = \infty](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%5C%5C%5Cmathrm%7BWhen%5C%3A%7Dy_1%5Cne%20%5C%3Ay_2%5Cmathrm%7B%5C%3Aand%5C%3A%7D%5C%3Ax_1%3Dx_2%5Cmathrm%7B%5C%3Athe%5C%3Aslope%5C%3Ais%5C%3A%7D%5Cinfty%20%5C%5C%5C%5Cm%20%3D%20%5Cinfty)
12.
![\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-5,\:3\right),\:\left(x_2,\:y_2\right)=\left(19,\:-6\right)\\\\m=\frac{-6-3}{19-\left(-5\right)}\\\\m = \frac{-6-3}{19+5}\\ \\m = \frac{-9}{24}\\ \\Simplify\\m=-\frac{3}{8}](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%5C%5C%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%28-5%2C%5C%3A3%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%2819%2C%5C%3A-6%5Cright%29%5C%5C%5C%5Cm%3D%5Cfrac%7B-6-3%7D%7B19-%5Cleft%28-5%5Cright%29%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B-6-3%7D%7B19%2B5%7D%5C%5C%20%5C%5Cm%20%3D%20%5Cfrac%7B-9%7D%7B24%7D%5C%5C%20%5C%5CSimplify%5C%5Cm%3D-%5Cfrac%7B3%7D%7B8%7D)
13.
![\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-7,\:-12\right),\:\left(x_2,\:y_2\right)=\left(1,\:-16\right)\\\\m=\frac{-16-\left(-12\right)}{1-\left(-7\right)}\\\\m = \frac{-16+12}{1+7} \\\\m = \frac{-4}{8} \\\\Simplify\\m=-\frac{1}{2}](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%5C%5C%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%28-7%2C%5C%3A-12%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%281%2C%5C%3A-16%5Cright%29%5C%5C%5C%5Cm%3D%5Cfrac%7B-16-%5Cleft%28-12%5Cright%29%7D%7B1-%5Cleft%28-7%5Cright%29%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B-16%2B12%7D%7B1%2B7%7D%20%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B-4%7D%7B8%7D%20%5C%5C%5C%5CSimplify%5C%5Cm%3D-%5Cfrac%7B1%7D%7B2%7D)
14.
![\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-18,\:0\right),\:\left(x_2,\:y_2\right)=\left(-13,\:1\right)\\\\m=\frac{1-0}{-13-\left(-18\right)}\\\\m = \frac{1-0}{-13+18}\\ \\m = \frac{1}{5} \\](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%5C%5C%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%28-18%2C%5C%3A0%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%28-13%2C%5C%3A1%5Cright%29%5C%5C%5C%5Cm%3D%5Cfrac%7B1-0%7D%7B-13-%5Cleft%28-18%5Cright%29%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B1-0%7D%7B-13%2B18%7D%5C%5C%20%5C%5Cm%20%3D%20%5Cfrac%7B1%7D%7B5%7D%20%5C%5C)
15.
![\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(1,\:-11\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-4\right)\\\\m=\frac{-4-\left(-11\right)}{-2-1}\\\\m = \frac{-4+11}{-2-1}\\ \\m = \frac{7}{-3} \\\\Simplify\\m=-\frac{7}{3}](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%5C%5C%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%281%2C%5C%3A-11%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%28-2%2C%5C%3A-4%5Cright%29%5C%5C%5C%5Cm%3D%5Cfrac%7B-4-%5Cleft%28-11%5Cright%29%7D%7B-2-1%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B-4%2B11%7D%7B-2-1%7D%5C%5C%20%5C%5Cm%20%3D%20%5Cfrac%7B7%7D%7B-3%7D%20%5C%5C%5C%5CSimplify%5C%5Cm%3D-%5Cfrac%7B7%7D%7B3%7D)
25-4^2/8=
4^2= 16
16/8= 2
25-2=23
The answer to the first question is 23.
12*5-8/4+7*2=
12*5= 60
8/4= 2
7*2= 14
60-2+14= 72
The answer to the second question is 72.
Number one is 23.
Number two is 72.
Answer:
(n+3)(n+5)
Step-by-step explanation:
the common factor between 8 and 15 is 3 and 5. If you add 3 and 5 together, you get 8. If you multiply 3 and 5, you get 15. So using the FOIL method, it should go back to n^2+8n+15