2-3(z-5)+11=4
<em>Distribute</em>
2-3z+15+11=4
<em>Move the constants to gether but make sure they keep thei signs</em>
2+15+11-3z=4
<em>Simplify</em>
28-3z=4
<em>Start to Isolate the variable by subtracting </em>28<em> from </em><u><em>both</em></u><em> sides of the equation</em>
-3z=-24
<em>Completely isolate the variable by deviding the </em><u><em>whole</em></u><em> equation by </em>-3
z=8
<u><em>If you would like anything explained, just ask</em></u>
Answer:
Discriminant: 0; 1 real solution
Step-by-step explanation:
To find the discriminant use the formula: b^2 - 4ac.
In this quadratic equation, 9x^2 - 12x + 4 = 0,
Substitute these values into the discriminant equation.
(-12)^2 - 4(9)(4)
Evaluate the exponent and multiply 4 * 9 * 4.
144 - 144
Subtracting these two numbers together gives you 0; the discriminant is 0.
Based on this discriminant you know that there is only 1 real solution to the quadratic equation.
Answer:
7.5 cm.
Step-by-step explanation:
Let x represent the distance on map.
We have been given that a scale on a map shows that 3 centimeters represents 10 kilometers. We are asked to find the distance on map that corresponds to 25 kilometers in actual.
We will use proportions to solve our given problem.
Upon substituting our given values in above proportion, we will get:
Therefore, 7.5 centimeters on the map represents an actual distance of 25 kilometers.
Pedrito en la casa de su amigo
The three consecutive integers are represented by x, x+1, and x+2
x=(x+1+x+2)-1515
x= 2x+3-1515
x= 2x-1512
-x=-1512
x=1512
Final answer: 1512, 1513, 1514