Answer:
The inequality 7.50c - 350 ≥ 700 can be used.
Step-by-step explanation:
Given that:
Amount spent on materials = $350
Amount the council needs to earn = $700
Selling price per corsage = $7.50
Number of corsages sold = c
Selling price per corsage * Number of corsages sold - amount spent on materials ≥ amount needs to be earned
Hence,
The inequality 7.50c - 350 ≥ 700 can be used.
Answer:
Option b. Two solutions
Step-by-step explanation:
In order to find how many real number solutions the equation has we have to solve it
Given equation: -4x² + 10x + 6 = 0
taking 2 common from the equation
2(-2x² + 5x + 3) = 0
-2x² + 5x + 3 = 0
taking minus sign common from the above equation
2x² - 5x - 3 = 0
We will solve this equation by factorization in such a way that the sum of two factors is equal to -5x and the product is -6x²
2x² - 6x + x - 3 = 0
taking common above
2x(x-3) + 1(x-3) = 0
taking (x-3) common
(2x+1)(x-3) = 0
2x + 1 = 0
2x = -1
x = 
x - 3 = 0; x = 3
the solutions are
Both values are real numbers, therefore correct option is b
Answer:
Find the biggest # that can divide all 3 #'s, and that's your answer.
Step-by-step explanation:
24 is divisible by:
1, 2, 3, 4, 6, 8, 12, 24
36 is divisible by:
1, 2, 3, 4, 6, 9, 12, 18, 36
48 is divisible by:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The biggest # that can divide all 3 #'s is 12, so the greatest amount of baskets that can be made is 12 baskets.
q(x)= x 2 −6x+9 x 2 −8x+15 q, left parenthesis, x, right parenthesis, equals, start fraction, x, squared, minus, 8, x, plus, 1
AURORKA [14]
According to the theory of <em>rational</em> functions, there are no <em>vertical</em> asymptotes at the <em>rational</em> function evaluated at x = 3.
<h3>What is the behavior of a functions close to one its vertical asymptotes?</h3>
Herein we know that the <em>rational</em> function is q(x) = (x² - 6 · x + 9) / (x² - 8 · x + 15), there are <em>vertical</em> asymptotes for values of x such that the denominator becomes zero. First, we factor both numerator and denominator of the equation to see <em>evitable</em> and <em>non-evitable</em> discontinuities:
q(x) = (x² - 6 · x + 9) / (x² - 8 · x + 15)
q(x) = [(x - 3)²] / [(x - 3) · (x - 5)]
q(x) = (x - 3) / (x - 5)
There are one <em>evitable</em> discontinuity and one <em>non-evitable</em> discontinuity. According to the theory of <em>rational</em> functions, there are no <em>vertical</em> asymptotes at the <em>rational</em> function evaluated at x = 3.
To learn more on rational functions: brainly.com/question/27914791
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