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3 years ago

HELP PLEASE Simplify the rational expression. State any excluded values. x^2-12x+35/x^2-3x-10

1 answer:

5 0

$\frac{{x}^{2} - 12x + 35 }{ {x}^{2} - 3x - 10 }$
Factorise both the term by splitting the mid term and you'll get

$\frac{ {x}^{2} - 5x - 7x + 35}{ {x}^{2} - 5x + 2x - 10 } \\ = \frac{x(x - 5) - 7(x - 5)}{x(x - 5) + 2(x - 5)} \\ = \frac{(x - 7)(x - 5)}{(x + 2)(x - 5)} \\ = \frac{x - 7}{x + 2}$

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2 years ago

PLEASE HELP

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2 years ago

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In a particular region of a national park, there are currently 330 deer, and the population is increasing at an annual rate of 1

Afina-wow [57]

Answer:

a) P(t) = 330 $(1.11)^{t}$

b)P(t) →population after t years.

t →number of years.

c) Number of deer after five years = 556

Step-by-step explanation:

a) The population increasing at an annual rate of 11%, means the population is being multiplied by 1.11 each year.

So, we can use the formula

P(t) = P $(1+\frac{r}{100} )^{t}$

P(t) = 330 $(1+\frac{11}{100} )^{t}$

P(t) = 330 $(1.11)^{t}$

b) In this model

P(t) → population after t years

P → present population

r → annual increasing rate

c) Number of population after 5 years is,

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2 years ago

How many x or y intercepts can a quadratic function have?

gladu [14]

Answer:

0-2 x-intercepts and 0-1 y-intercepts

Step-by-step explanation:

A quadratic function can have anywhere from 0 to 2 x-intercepts. This is possible because a function can have 0, 1, or 2 solutions.

A parabola can also have either 0 or 1 y intercepts. It is possible for the function to not intercept the y axis at all, and it is also possible for it to intercept it exactly one time.

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2 years ago

Is the inequality true or false?<br><br> 8 + 5(2 x 4) ≥ 9 x 5

-BARSIC- [3]

9514 1404 393

Answer:

true

Step-by-step explanation:

Using the order of operations to evaluate the expressions, we have ...

8 + 5(8) ≥ 9(5)

8 +40 ≥ 45

48 ≥ 45 . . . . . true

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2 years ago

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