Answer:
Step-by-step explanation:
Hey there, Byanatwin2!
To solve this inequality, we need to isolate x, like any other equation or inequality.
So, to isolate x we need to divide both sides by
NOTE: We are dividing by a number less than 0, or a negative number so
the sign > will change to <
Now, to divide a fraction, we need to do the reciprocal and then multiply. The reciprocal of
is
Then, we multiply 8 times
and we get a total of -12
So the answer should be x < -12
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Answer:
La pendiente de la recta L es .
Step-by-step explanation:
La recta está presentada en su forma implícita, es decir, que está bajo la forma:
Para determinar la pendiente de la recta, se debe transformarla a su forma explícita, cuya fórmula es:
Donde:
- Variable independiente, adimensional.
- Variable dependiente, adimensional.
- Pendiente, adimensional.
- Intercepto, adimensional.
Entonces:
Por simple inspección, se determina que la pendiente de la recta L es .
Answer:
y = 0, y = , y = 7
Step-by-step explanation:
Factor out from each term
( 3 - 22 + 7) = 0 , that is
(3y² - 22y + 7) = 0 ← factor the quadratic
Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term
product = 3 × 7 = 21 and sum = - 22
The factors are - 21 and - 1
Use these factors to split the y- term
3y² - 21y - y + 7 ( factor the first/second and third/fourth terms )
3y(y - 7) - 1 (y - 7) ← factor out (y - 7) from each term
(y - 7)(3y - 1)
Then
(y - 7)(3y - 1) = 0
Equate each factor to zero and solve for y
= 0 ⇒ y = 0
3y - 1 = 0 ⇒ 3y = 1 ⇒ y =
y - 7 = 0 ⇒ y = 7