https://peda.net/id/e2c1e852bbf 2018-09-19T13:36:37+03:00 https://peda.net/:static/535/peda.net.logo.bg.svg <div class="license">Tämän sivun lisenssi <a rel="license" href="https://peda.net/info">Peda.net-yleislisenssi</a></div> https://peda.net/id/c9a45436bca 2018-09-20T10:28:36+03:00 <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D%5Cfrac%7B1%7D%7B4%7Dx%2B%5Cfrac%7B1%7D%7B4%7Dx%2B%5Cfrac%7B1%7D%7B3%7Dx%2B15000%E2%82%AC" alt="x=\frac{1}{4}x+\frac{1}{4}x+\frac{1}{3}x+15000€"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B1%7D%7B6%7Dx%3D15000" alt="\frac{1}{6}x=15000"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D90000%E2%82%AC" alt="x=90000€"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B1%7D%7B4%7Dx%3D22500" alt="\frac{1}{4}x=22500"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B1%7D%7B3%7Dx%3D30000" alt="\frac{1}{3}x=30000"/> 2018-09-20T10:28:36+03:00 https://peda.net/id/fcef7948bca 2018-09-20T10:22:53+03:00 <img src="https://math-demo.abitti.fi/math.svg?latex=x%2Bx%2B3%2Bx%2B6%3D126" alt="x+x+3+x+6=126"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=3x%2B9%3D126" alt="3x+9=126"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=3x%3D117" alt="3x=117"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D39" alt="x=39"/> 2018-09-20T10:22:53+03:00 https://peda.net/id/e6cfe806bca 2018-09-20T10:15:06+03:00 <img src="https://math-demo.abitti.fi/math.svg?latex=-2x%2B3%3D0" alt="-2x+3=0"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=-2x%3D-3" alt="-2x=-3"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D1%7B%2C%7D5" alt="x=1{,}5"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(0%5Cright)%3D-2%5Ccdot0%2B3" alt="f\left(0\right)=-2\cdot0+3"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(0%5Cright)%3D3" alt="f\left(0\right)=3"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=-2x%2B3%3Dx-1" alt="-2x+3=x-1"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=3x%3D4" alt="3x=4"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D1%5C%20%5Cfrac%7B1%7D%7B3%7D" alt="x=1\ \frac{1}{3}"/> 2018-09-20T10:15:05+03:00 https://peda.net/id/ec195c26bc0 2018-09-19T15:05:49+03:00 a)<br/> <a href="https://peda.net/p/oskari.lahtinen/mpjy/1-1/107/sieppaa-png#top" title="Sieppaa.PNG"><img src="https://peda.net/p/oskari.lahtinen/mpjy/1-1/107/sieppaa-png:file/photo/0c4a415cd536524fdedbc7ab763313d9a6c34288/Sieppaa.PNG" alt="" title="Sieppaa.PNG" class="inline" loading="lazy"/></a><br/> b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=a%5Cleft(-4%5Cright)%2B2%3D0" alt="a\left(-4\right)+2=0"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=-4a%3D-2" alt="-4a=-2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=a%3D0%7B%2C%7D5" alt="a=0{,}5"/><br/> c)<br/> (0, 2), koska +2 on vakioterminä 2018-09-19T15:02:46+03:00 https://peda.net/id/298ce1bebc0 2018-09-19T14:57:20+03:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=5%5Cleft(x-2%5Cright)%3D-7" alt="5\left(x-2\right)=-7"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=5x-10%3D-7" alt="5x-10=-7"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=5x%3D3" alt="5x=3"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D%5Cfrac%7B3%7D%7B5%7D" alt="x=\frac{3}{5}"/><br/> b) sijoittamalla luku muuttujan paikalle<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=6-4%5Cleft(-3%5Cright)%3D18" alt="6-4\left(-3\right)=18"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=6-12%3D18" alt="6-12=18"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=-6%3D18" alt="-6=18"/><br/> luku -3 ei ole yhtälön ratkaisu 2018-09-19T14:57:20+03:00 https://peda.net/id/bc94cb54bc0 2018-09-19T14:51:08+03:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(1%5Cright)%3D3-5%3D-2" alt="f\left(1\right)=3-5=-2"/><br/> <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(0%5Cright)%3D0-5%3D-5" alt="f\left(0\right)=0-5=-5"/><br/> <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=3x-5%3D0" alt="3x-5=0"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=3x%3D5" alt="3x=5"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D1%5C%20%5Cfrac%7B2%7D%7B3%7D" alt="x=1\ \frac{2}{3}"/><br/> b) piste (2, 1) on kuvaajalla jos f(2)=1<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(2%5Cright)%3D3%5Ccdot2-5%3D6-5%3D1" alt="f\left(2\right)=3\cdot2-5=6-5=1"/><br/> piste on kuvaajalla<br/> c) <br/> <span class="medium"><a href="https://peda.net/p/oskari.lahtinen/mpjy/1-1/103/sieppaa-png#top" title="Sieppaa.PNG"><img src="https://peda.net/p/oskari.lahtinen/mpjy/1-1/103/sieppaa-png:file/photo/9f1a88ee7ca0cbe58964bd57c24fc3e72bee9b85/Sieppaa.PNG" alt="" title="Sieppaa.PNG" class="inline" loading="lazy"/></a></span> 2018-09-19T14:47:07+03:00 https://peda.net/id/7005593ebc0 2018-09-19T14:44:59+03:00 a) <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D4x-%5Cleft(2x%2B1%5Cright)" alt="f\left(x\right)=4x-\left(2x+1\right)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D4x-2x-1" alt="f\left(x\right)=4x-2x-1"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D2x-1" alt="f\left(x\right)=2x-1"/><br/> kuvaaja A<br/> b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D-2%5Cleft(x-1%5Cright)%2B1" alt="f\left(x\right)=-2\left(x-1\right)+1"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D-2x%2B2%2B1" alt="f\left(x\right)=-2x+2+1"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D-2x%2B3" alt="f\left(x\right)=-2x+3"/><br/> kuvaaja B<br/> c) <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D3%5Cleft(x-%5Cfrac%7B1%7D%7B3%7D%5Cright)-x" alt="f\left(x\right)=3\left(x-\frac{1}{3}\right)-x"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D3x-1-x" alt="f\left(x\right)=3x-1-x"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D2x-1" alt="f\left(x\right)=2x-1"/><br/> kuvaaja A 2018-09-19T14:44:59+03:00