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Anna11 [10]
3 years ago
14

F the graph of y=ax+b/x+c has a horizontal asymptote y=2 and a vertical asymptote x=-3 then a+c=?

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
3 0
Correct answer is E.

y= \frac{ax+b}{x+c}
\\
\\  \lim_{x \to \infty} \frac{ax+b}{x+c}=2
\\
\\ \lim_{x \to \infty} \frac{ \frac{ax}{x} + \frac{b}{x} }{ \frac{x}{x} + \frac{c}{x} }=2
\\
\\ \lim_{x \to \infty} \frac{a + \frac{b}{x} }{ 1 + \frac{c}{x} }=2
\\ \frac{a + 0}{ 1 + 0 }=2
\\
\\  \frac{a}{1} =2
\\a=2
\\
\\x+c=0
\\-3+c=0
\\c=3
\\
\\a+c=2+3=5



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Can someone please help with this!
RUDIKE [14]

Answer:

m<1 = 100 (C)

m<2 = 50 (B)

Step-by-step explanation:

The triangle with two 50degree angles is triangle1, the other triangle (with a 60degree angle) is triangle2.

Let us also call the third angle in triangle1, <x, and the verticle angle to x (when two lines intersect, 4 angles are formed, the angles opposite each other are verticle angles, and they are congruent (the same measure)), <y.

The sum of measures of angles in a triangle is 180 degrees,

using this we can say:

50 + 50 + m<x = 180

simplify

100 + m<x = 180

inverse operations

100 + m<x = 180

-100             -100

m<x = 80

Remember, a straight angle has 180degrees in measure.

As per the picture, <x and <1 add up to form a straight angle.

Using this, form an equation:

m<x + m<1 = 180

substitute

80 + m<1 = 180

inverse operations

80 + m<1 = 180

-80              -80

m<1 = 100

Remember what was said earlier about verticle angles being congruent. This means that m<x = m<y = 80. This can be used to an advantage when setting up an equation:

50 + m<y + m<2 = 180

substitute

50 + 80 + m<2 = 180

simplify

130 + m<2 = 180

inverse operations

130 + m<2 = 180

-130             -130

m<2 = 50

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2 years ago
Katherinead Sally had $288 altogether. Katherine gave 1/3 of her share to Shally and their father gave $68 to Shally. They now h
Grace [21]
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3 years ago
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The equation in standard form should be 2x^2 + 7x - 15 = 0

Factored the expression is (2x - 3)(x + 5).

In order to find the factored portion, you must look for factors of the front number (2) to use in the front of the parenthesis and factors of the last number (-15) to go in the end. 

When we use the ones that we have above, it distributes to the overall end result. 

(2x - 3)(x + 5)
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Answer:

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6/10

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