Answer:
<u><em>507 x 8 in standard algorithim is equivelant to the answer.</em></u>=
Step-by-step explanation:
5 0 7
× 8
+ 4 0 5 6
= 4 0 5 6
________________________
Therefore:
507 × 8 = 4056
The formula for this is m = y2 - y1 / x2 - x2.
using the two points (2,2) and (6,10), the slope is 4/8. simplified, it is 1/2.
The intercepts and the standard form of each polynomial are listed below:
- x-Intercept: x = - 4 or x = 6, Standard form: f(x) = x² - 2 · x - 24, y-Intercept: f(0) = - 24
- x-Intercept: x = 1 / 4 or x = 3, Standard form: f(x) = 2 · x² - 10 · x + 12, y-Intercept: f(0) = 12
<h3>How to find the intercepts and the standard form of quadratic equations</h3>
In this case we need to find the intercepts of each quadratic equation and transform each quadratic equation into standard form. The x-intercept correspond with each of the roots of the polynomial and the y-intercept is found by evaluating the expression at x = 0.
Now we proceed to find each element:
Case 1
x-Intercept
x = - 4 or x = 6
Standard form
f(x) = (x + 4) · (x - 6)
f(x) = x² - 2 · x - 24
y-Intercept
f(0) = - 24
Case 2
x-Intercept
x = 1 / 4 or x = 3
Standard form
f(x) = (2 · x - 4) · (x - 3)
f(x) = 2 · (x - 2) · (x - 3)
f(x) = 2 · (x² - 5 · x + 6)
f(x) = 2 · x² - 10 · x + 12
y-Intercept
f(0) = 12
To learn more on quadratic equations: brainly.com/question/1863222
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Answer:
a number that is divisible by 10 is also divisible by 5 since all factor of 10 are also factor of 5
Answer: 4/9
Step-by-step explanation:
The probability that annie picks a duck Pt= the probability of picking a duck without accounting for the added one (Po)+ probability of picking the added bird and it's a duck(Pi)
Pt = Po+Pi
Since the total number of birds in the right pond is 10 after the addition of one by john
Po= 4/10
Pi= the of john adding a duck × the probability of annie picking the added bird
Pi= 4/9 × 1/10
Pi = 4/90
Pt= 4/10 + 4/90
Pt = (36+4)/90
Pt=40/90
Pt= 4/9
(This implies that the probability of picking a duck remain the same even after the addition of one bird from the left ponds because they both have equal proportions of duck and geese i.e the initial number of duck and geese in both right and left ponds are 4 and 5 respectively)
Thanks.
