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Nana76 [90]
2 years ago
7

Which equation can be used to determine the value of x?​

Mathematics
2 answers:
SSSSS [86.1K]2 years ago
8 0

Answer:

choice 1) 2x + 40 = 180

Step-by-step explanation:

(x + 10) + (x + 30) = 180

2x+ 40 = 180

Sav [38]2 years ago
4 0

Answer:

X+30+x+10=180

combine like terms

2x+40=180

subtract 40 from both sides

2x=140

divide by 2

x=70

but for you it is 2x+40=180

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7 0
3 years ago
For the following exercises, determine the point(s), if any, at which each function is discontinuous. Classify any discontinuity
NARA [144]

Answer: (a). at x = 0, its a removable discontinuity

and at x = 1, it is a jump discontinuity

(b). at x = -3, it is removable discontinuity

also at x = -2, it is an infinite discontinuity

(c). at x = 2, it is a jump discontinuity

Step-by-step explanation:

in this question, we would analyze the 3 options to determine which points gave us discontinuous in the category of discontinuity as jump, removable, infinite, etc.

(a). given that f(x) = x/x² -x

this shows a discontinuous function, because we can see that the denominator equals zero i.e.

x² - x = 0

x(x-1) = 0

where x = 0 or x = 1.

since x = 0 and x = 1, f(x) is a discontinuous function.

let us analyze the function once more we have that

f(x) = x/x²-x = x/x(x-1) = 1/x-1

from 1/x-1 we have that x = 1 which shows a Jump discontinuity

also x = 0, this also shows a removable discontinuity.

(b). we have that f(x) = x+3 / x² +5x + 6

we simplify as

f(x) = x + 3 / (x + 3)(x + 2)

where x = -3, and x = -2 shows it is discontinuous.

from f(x) = x + 3 / (x + 3)(x + 2) = 1/x+2

x = -3 is a removable discontinuity

also x = -2 is an infinite  discontinuity

(c). given that f(x) = │x -2│/ x - 2

from basic knowledge in modulus of a function,

│x│= │x       x ˃ 0 and at │-x    x ∠ 0

therefore, │x - 2│= at │x - 2,     x ˃ 0 and at  │-(x - 2)   x ∠ 2

so the function f(x) = at│ 1,     x ˃ 2 and at │-1,    x ∠ 2

∴ at x = 2 , the we have a Jump discontinuity.

NB. the figure uploaded below is a diagrammatic sketch of each of the function in the question.

cheers i hope this helps.

3 0
3 years ago
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