Factors are (3x + 5) and (x - 2). Zeros are -5/3 and 2.
Step-by-step explanation:
- Step 1: Given quadratic equation 3x² - x = 10 ⇒ 3x² - x - 10 = 0
- Step 2: Use factoring method (product and sum rule) to find factors and zeros. So the equation can be written as below.
⇒ 3x² - 6x + 5x - 10 = 0
⇒ 3x(x - 2) + 5(x - 2) = 0
⇒ (3x + 5)(x - 2) = 0 These are the factors of the equation.
- Step 3: Find zeros by equating the factors to 0.
⇒ 3x + 5 = 0 and x - 2 = 0
⇒ x = -5/3 and 2
3.75 calories a minute. We get this number by dividing 75 by 20.
Ok so if 5x + 24 equals 9x - 17, the we can write it like this:
5x + 24 = 9x - 17 ~~~ We have to get x on one side to find out what it is. So you can either subtract 5x from both sides or 9x from both sides. Imma subtract 5x from north sides which becomes:
5x - 5x + 24 = 9x - 5x - 17 Now simplify
24 = 4x - 17 Now isolate 4x. To do that we have to add 17 to both sides
24 + 17 = 4x - 17 + 17 Now simplify
41 = 4x Now we have to get x alone on one side. So divide 4 from both sides. Becomes
41/4 = 4x/4 Now simplify.
10.25 = x
<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em>
<em>H</em><em>ope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em><em>.</em><em>.</em><em>.</em>
<em>G</em><em>ood</em><em> </em><em>luck</em><em> </em><em>on</em><em> </em><em>your</em><em> </em><em>assignment</em>
<em>~</em><em>p</em><em>r</em><em>a</em><em>g</em><em>y</em><em>a</em>