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Vinil7 [7]
3 years ago
5

The graph represents the function (check picture)

Mathematics
1 answer:
Taya2010 [7]3 years ago
8 0

Answer:

a = 1 and b = -12

Step-by-step explanation:

* Lets look to the graph to solve the problem

- f(x) is a rational function with:

# numerator ⇒ x² - 4x + 3

# denominator ⇒ x² + ax + b

- To find the values of a and b lets use the hole and the vertical

  asymptote in the graph of the function

∵ There is a hole at x = 3

- The hole appears when the numerator and the denominator have

 a common factor

∵ x = 3 ⇒ subtract 3 from both sides

∴ x - 3 = 0

∴ The numerator and the denominator have a factor (x - 3)

- The vertical asymptotes appear at the zeros of the denominator

  that means the values of x when the denominator = 0

∵ There is a vertical asymptote at x = -4

∵ x = -4 ⇒ add 4 for both sides

∴ x + 4 = 0

∴ The denominator has another factor (x + 4)

- The denominator x² + ax + b has two factors (x - 3) and (x + 4) lets

  multiply them to find the value of a and b

∵ (x - 3)(x + 4) = (x)(x) + (x)(4) + (-3)(x) +(-3)(4)

∴ (x - 3)(x + 4) = x² + 4x - 3x - 12 = x² + x - 12

∴ x² + ax + b = x² + x - 12

- By comparing the two sides

∴ a = 1 and b = -12

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Step-by-step explanation:

5 0
3 years ago
Michelle family drove 272.48 miles Michelle calculated that they drove 26.2 miles per gallon of gas how many gallons of gas did
Harman [31]
<span>Michelle family drove 272.48 miles.
=> Michelle calculated that they drove 26.2 miles per gallon of gas.
Question: how many gallons of gas did the car use?
=> Unit rate = 26.2 miles per gallon
Now, they travelled a total of 272.48 miles.
To get the answer let’s divide the total miles they travel to the number of miles for each gallon of gas.
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4 0
3 years ago
Read 2 more answers
Find W to find the measure of the exterior angle
lions [1.4K]

Answer:

da answer iz w=80% coz they are opposite angels

5 0
3 years ago
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Two figures are similar, and the scale factor is 2/3
d1i1m1o1n [39]

Answer:

The answer is 8.

Step-by-step explanation:

The scale factor between the figures is 2/3, this means that the ratio of the smaller figure to the larger figure is 2/3:

\frac{smaller\:figure}{larger\:figure}=\frac{2}{3}.

So when a side of the the larger figure is 12 then:

\frac{smaller\:figure\: side}{12}=\frac{2}{3}

Therefore

smaller\:figure\:side=\frac{2}{3}*12=8.

Thus the length of the corresponding smaller side is 8.

3 0
3 years ago
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WILL GIVE BRAINLIEST!! FINALS!
GenaCL600 [577]
Factor completely x³ + 6x² - 3x – 18
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with a root of x = -6

the answer is 210


3 0
3 years ago
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