16: B; irrational number, real
17: C; whole, integer, rational, real
18: B; real, rational, integer
Answer:
x = 1.434 and x=0.232
Step-by-step explanation:
To find the root of the equation stated above we need to:
(1) Write the polynomial equation with zero on the right hand side:
⇒ ![3x^{2} -5x + 1 = 0](https://tex.z-dn.net/?f=3x%5E%7B2%7D%20-5x%20%2B%201%20%3D%200)
(2) Divide the whole equation by 3
⇒ ![x^{2} -\frac{5}{3}x + \frac{1}{3}= 0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-%5Cfrac%7B5%7D%7B3%7Dx%20%2B%20%5Cfrac%7B1%7D%7B3%7D%3D%200)
(3) Use the quadratic formula to solve the quadratic equation:
The quadratic formula states that the two solutions for a quadratic equation is given by:
(1)
In this case, a = 1, b = ![-\frac{5}{3}, c= \frac{1}{3}](https://tex.z-dn.net/?f=-%5Cfrac%7B5%7D%7B3%7D%2C%20c%3D%20%5Cfrac%7B1%7D%7B3%7D)
Substituiting a, b and c in equation (1) We get:
(1)
The two solutions are:
x = 1.434 and x=0.232
Step-by-step explanation:
Nicole starts with the budget:
$395
Now, she only expects to pay half the deposit;
$72 ÷ 2 = $36
Subtract this from the budget:
$395 - $36 = $359
Divide by cost per hour:
$359 ÷ $60 = 5.983333... (3 repeating)
This means, Nicole can rent a <em>maximum</em><em> </em>of 5 hours with her budget. The inequality would be
![x \leqslant 5](https://tex.z-dn.net/?f=x%20%20%5Cleqslant%205)
Answer:
51.8
Step-by-step explanation:
Multiply 15 by z and -51 which would equal (15z-765).
Add 765 to 12 and that equals 777
Divide 777 by 15 which would equal 51.8
Answer:
1\2
Step-by-step explanation:
draw a circle split it where there are 6 slices color half red and white now color one of the slices green and the rest blue there are 2 slices out of 6 colored blue. Hope it helped! make sure to reduce