The proportional relationship that represents the market that sells their carrots at a lower rate per pound is: y = 1.6x.
<h3>What is a proportional relationship?</h3>
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
From the table, the rate is:
k = $8.8/4.4 = 2.
From the market, the rate is:
k = $4.8/3 = $1.6.
Hence the equation is y = 1.6x.
More can be learned about proportional relationships at brainly.com/question/10424180
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Answer:
f(x) = x3 + 3x2 − 4x − 12
Step-by-step explanation:
A polynomial which falls tot he left and rises to the right is a function with a positive leading coefficient. Its formed by the x-intercepts or zeros x = -3, -2 and 2. The zeros form the factors (x+3)(x+2)(x-2). Multiply the factors using the distributive property to find the function in standard form.
(x+3)(x+2)(x-2)
(x^2 + 3x + 2x + 6)(x-2)
(x^2 + 5x + 6)(x-2)
x^3 + 5x^2 + 6x -2x^2 - 10x - 12
x^3 + 3x^2 - 4x - 12
Answer:
g(0) = -8
Step-by-step explanation:
When you plug in a zero for the x the equation will look like
g(0) = -2(0) - 8
-2 times 0 = 0 so g(0) = -8
6/7-2/3
Make sure they have the same denominators which means looking for the GCF
So the GCF is 21 in this case
6/7= 18/21
2/3= 14/21
18/21 - 14/21= 4/21
The answer is 4/21
Answer:
x² - 25
Step-by-step explanation:
Given:
(x-5)(x+5)
Find:
Product
Computation:
(x-5)(x+5)
(a+b)(a-b) = a² - b²
(x-5)(x+5) = x² - 5²
(x-5)(x+5) = x² - 25
Alternate:
(x-5)(x+5)
x² + 5x - 5x - 25
x² - 25