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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3/2(x+4/3) = 11
distribute the 3/2
3/2x + 12/6 = 11
3/2x + 2 = 11
subtract the 2
3/2x = 9
multiply both sides by 2
3x = 18
divide by 3
x = 6
Answer:
402cm
Step-by-step explanation:
middle rectangle: 10 * 12 = 120cm
top and bottom rectangles: the sides will be connected to the 8cm triangle, making their heights 8cm. 8 * 12 = 96cm
side triangles: (10 * 9) / 2= 45cm
120 + (2 * 45) + (96 * 2) = 402cm
Answer:
9/10
Step-by-step explanation:
we substitute the unknown number as "x"
2x + 12 = 8x + 3
12 - 3 = 8x + 2x
9 = 10x
x = 9/10
The answer is 6.5 - you add 6 and 7 together and then you divide them by two
