30 points if you answer this question and please show work !

1 answer:

8 0

$h(x)=\dfrac{f(x)}{g(x)}=\dfrac{x^2+x-20}{x+5}=\dfrac{x^2+x+4x-4x-20}{x+5}=\\\\\\=
\dfrac{x^2+5x-4x-20}{x+5}=\dfrac{x(x+5)-4(x+5)}{x+5}=\dfrac{(x+5)(x-4)}{x+5}=\\\\\\=\boxed{x-4}$

We see, that g(x) is in denominator, so:

$g(x)\neq0\\\\x+5\neq0\\\\\boxed{x\neq-5}$

and the domain of $h(x)$ i<span>s the set of all real numbers without $x=-5$ .
</span>

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The variable y is directly proportional to the variable x. If y = 32 when x = 20, what is the value of x when y = 40?

elena55 [62]

Answer:

The Correct option is C ) 25

Therefore the value of x is 25 when y =40.

Step-by-step explanation:

Given:

Variable 'y' is directly proportional to the variable 'x'.

$\therefore y=kx$ ......Direct Variation

Where,

k = Constant of proportionality

To Find:

value of x = ? when y = 40

Solution:

First we need to find Constant of proportionality

When x = 20 and y = 32

Substituting the values we get

$32=k\times 20\\k=\dfrac{32}{20}=1.6\\\\k=1.6$

Now when k =1.6 , y = 40 then x will be

$40=1.6\times x\\\\x=\dfrac{40}{1.6}=25\\\\x=25$

Therefore the value of x is 25 when y =40.

6 0

3 years ago

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8_murik_8 [283]

Angle ab would be the correct answer

8 0

2 years ago

PLEASE HELP IM STRUGGLING!!

dem82 [27]

Use the tangent-chord theorem:
The included chord-tangent angle is half the size of the intercepted arc.

The intercepted arc is "c".
The included chord-tangent-angle is the supplement of 110=70 degrees.
Therefore from the tangent-chord theorem, 70 degrees = half the size of arc "c"
=>
arc "c" = 2*intercepted angle = 2*70 degrees = 140 degrees.