Answer:
The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.
Step-by-step explanation:
Hope this helps you
Answer: It has systematic sampling.
Step-by-step explanation:
Systematic sample is a method of statistics which includes the selection of elements from the ordered sampling.
It has equal probability of each element.
It is done by choosing the starting point and selecting other elements after fixing the systematic or periodic interval.
She randomly selects the sixth name as a starting point and then selects every 100th subsequent name (106, 206, 306, etc.)
So, Sixth name is the starting point and then choosing the other elements after fixing an interval of 6.
So, it has systematic sampling.
Answer:
The discrimant of this equation is 144.
Step-by-step explanation:
First you have to move all the variables to one side to make the equation/expression into 0 by substracting 8x² to both sides :
9x² + 14x + 13 = 8x²
9x² + 14x + 13 - 8x² = 8x² - 8x²
x² + 14x + 13 = 0
It is given that the formula of discriminant is, D = b² - 4ac where a&b&c represent the number of the equation, ax²+bx+c = 0 :
x² + 14x + 13 = 0
D = b² - 4ac
= 14² - 4(1)(13)
= 196 - 52
= 144
W=12.5c+39.2
Her collection already has a weight of 39.2 g so you must add that to every new car bought each with a weight of 12.5 g.
Answer: x = - 12/9 ( the equation is negative)
Step-by-step explanation:
\frac{5}{3}x+\frac{1}{3}=13+\frac{1}{3}x+\frac{8}{3}x
\frac{5}{3}x=3x+\frac{38}{3}
\frac{5}{3}x-3x=3x+\frac{38}{3}-3x
-\frac{4}{3}x=\frac{38}{3}
3\left(-\frac{4}{3}x\right)=\frac{38\cdot \:3}{3}
-4x=38
\frac{-4x}{-4}=\frac{38}{-4}
x=-\frac{19}{2}
