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3 years ago

For which rational expression is -5 an excluded value of x?

Mathematics

2 answers:

spayn [35]3 years ago

7 0

Ration expressions cause excluded values wherever the denominator equals zero.

So, for any expression like

$h(x)=\dfrac{f(x)}{g(x)}$

-5 is an excluded value if $g(-5)=0$

For example, the simplest one would be

$h(x) = \dfrac{1}{x+5}$

In fact, if you try to evaluate this function at -5, you'd have

$h(-5)=\dfrac{1}{5+5}=\dfrac{1}{0}$

which is undefined, and thus you can't evaluate the function, and thus -5 is an excluded value.

Vaselesa [24]3 years ago

6 0

Answer:

6/x+5

Step-by-step explanation:

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xz_007 [3.2K]

Answer:

1) $n = 84$

2) $n = 78$

3) $n = 24$

4) $n = 16$

5) $n = 35$

Step-by-step explanation:

To solve each proportion, we apply cross multiplication.

Question 1:

$\frac{5}{12} = \frac{35}{n}$

$5n = 35*12$

Simplifying both sides by 5

$n = 7*12 = 84$

Question 2:

$\frac{n}{52} = \frac{180}{120}$

$120n = 52*180$

Simplifying both sides by 20

$6n = 52*9$

Simplifying by 3

$2n = 52*3$

Simplifying by 2

$n = 26*3 = 78$

Question 3:

$\frac{18}{n} = \frac{21}{28}$

$21n = 18*28$

Simplifying both sides by 7

$3n = 18*4$

Simplifying both sides by 3

$n = 6*4 = 24$

Question 4:

$\frac{n}{4} = \frac{24}{6}$

$\frac{n}{4} = 4$

$n = 16$

Question 5:

$\frac{10}{16} = \frac{n}{56}$

$16n = 56*10$

Simplifying by 2, both sides

$8n = 56*5$

Simplifying by 8, both sides

$n = 7*5 = 35$

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3 years ago

HELP PLEASE! BRAINLIEST ANSWER! A bag contains a total of 25 marbles. Five of the marbles are blue, 3 are red, 8 are green, and

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Find the equation of the parabola that has zeros of x = –1 and x = 3 and a y-intercept of (0,–9). Question 1 options: A) y = 3x2

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Answer:

Step-by-step explanation:

Given the zeros are x = - 1 and x = 3 then the factors are

(x + 1) and (x - 3) and the parabola is the product of the factors, that is

y = a(x + 1)(x - 3) ← where a is a multiplier

To find a substitute (0, - 9) into the equation

- 9 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )

3 = a, thus

y = 3(x + 1)(x - 3) ← expand the factors using FOIL

= 3(x² - 2x - 3) ← distribute by 3

= 3x² - 6x - 9 → A

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