1)
x^2 -5x + 4 = 0
(x -4)(x - 1) = 0
x - 4 = 0; x = 4
x - 1 = 0; x = 1
answer
x = 1 and x =4
2)
x^2 -7x + 12 = 0
(x-3)(x-4) = 0
x - 3 = 0; x = 3
x - 4 = 0; x = 4
answer
x = 3 and x =4
3)
x^2 + 7x + 6 = 12x
x^2 - 5x + 6 = 0
(x - 3)(x - 2) = 0
x - 3 = 0; x = 3
x - 2 = 0; x = 2
answer
x = 3 and x = 2
4)
15 + 2x = x^2
x^2 - 2x - 15 = 0
(x - 5)(x+ 3) = 0
x - 5 = 0; x = 5
x + 3 = 0; x = -3
answer
x = -3 and x = 5
Answer:
yoy didnt put a picture of the answer choices, so I'm not sure which one this would be, but the answer would be C=5 + .72P
Step-by-step explanation:
C is the total cost, so that would be on the opposite side of the equal sign from P. the 5 would be the constant, since that is the starting price for all packages, and the .72 is the price per pound, so you would have to multiply .72 by P pounds in order to complete the equation.
Hope this helps!
Answer:
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For this question you can say:
5/9( °F - 32) = -10 °C
so now you should solve the equation:
5F/9 - 160/9 = -10
⇒ 5F/9 = -10 + 160/9 ⇒ 5F/9 = -90/9 + 160/9 ⇒ 5F/9 = 70/9 ⇒ now you can multiply both sides of the equation by 9 so you will have:
5F = 70 ⇒ F = 14 ° F :)))
i hope this is helpful
have a nice day
Using translation concepts, it is found that the new intercepts are given as follows:
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, the function was shifted one unit right, hence the rule for the translated function is given by:
(x,y) -> (x + 1, y).
The y-intercept is given by f(0), hence for the shifted function it will be f(-1). We have that f(x) is an odd function and f(1) = 3, hence f(-1) = -f(1) = -3.
The x-intercept is given by x when f(x) = 0, hence:
(0,0) -> (0 + 1, 0) = (1,0).
More can be learned about translation concepts at brainly.com/question/4521517
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