2/3 cup of oatmeal - 10 granola bars
When the number of cups of oatmeal increases, the number of granola bars also increases.
If you use for example twice as many cups of oatmeal, you'll make twice as many granola bars.
Therefore, the first step is to calculate how many times 20 cups of oatmeal is more than 2/3 cup of oatmeal. To do it, divide 20 by 2/3.
You have 30 times as many cups of oatmeal, so you'll make 30 times as many granola bars.
300 granola bars can be made with 20 cups of oatmeal.
The value of f(0) is 1
and
The roots of f(x) = 0 are -2 and -1
<h3>Graph of a function</h3>
From the question, we are to determine the value of f(0) and the roots of f(x) = 0
The value of f(0) is the value of f(x) or the value of y when x = 0
In the given graph, we can observe that the value of y when x = 0 is 2
∴ f(0) = 2
The roots of f(x) = 0 correspond to the values of x when f(x) = 0 or when y = 0
In the graph, we can observe that the values of x when f(x) = 0 are -2 and -1
∴ The roots of f(x) = 0 are -2 and -1
Hence, the value of f(0) is 1
and
The roots of f(x) = 0 are -2 and -1
Learn more on Graph of a function here: brainly.com/question/21265554
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Answer:
(5,18) & (-5 , 38)
Step-by-step explanation:
<h3>Solutions of linear and quadratic system of equations:</h3>
A linear equation represented by a line in a graph intersect the quadratic equation represented by a parabola zero, one or two times.
f(x) = x² - 2x + 3 -------------------(I)
f(x) = -2x + 28 ---------------------(II)
x² - 2x + 3 = -2x + 28
x² - 2x + 2x + 3 - 28 = 0
x² - 25 = 0
x² = 25
x = √25 = √5*5
x = ± 5
Plugin x = 5 in equation (II),
f(5) = -2*5 + 28
= -10 + 28
= 18
(5 , 18)
Plugin x = -5 in equation (II),
f(-5) = -2*(-5) + 28
= 10 + 28
= 38
(-5, 38)
32a^3 + 12a^2
a^2 (32a + 12)
a^2* 4(8a+3)
4a^2 (8a+3)
Answer:
the first one i think
Step-by-step explanation: