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3 years ago

I need to find the domain and ranges of some of these graphs and I can’t really do the last few! Can anyone help?

Mathematics

1 answer:

hodyreva [135]3 years ago

3 0

(1) For the parabola on the bottom row, the domain would be R and the range would be y ≥ -5

(2) For the hyperbola on the bottom row, the domain would be R\{3} (since there is an asymptote at x = 3) and the range would be R\{4} (since there is an asymptote at y = 4)

(3) For the square root function on the bottom row, the domain would be x ≥ -5 and the range would be (-∞, -2]

(4) For the function to the very right on the bottom row, the domain would be R and the range would be (-∞, -3]

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What are the exact solutions of x2 − 5x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b square

geniusboy [140]

Answer:

$x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}$

Step-by-step explanation:

So the question here is asking you to use the quadratic formula which is expressed as: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\$

A quadratic can generally be expressed as: $y=ax^2+bx+c$

So using the equation you gave: $0=x^2-5x-1$

We can identify the following values: a=1, b=-5, c=-1

Btw the equation explicitly write "1" as the coefficient of x, but since it's not provided it's implied that it's 1.

So plugging in the known values, we get the following equation:

$x=\frac{5\pm\sqrt{(-5)^2-4(1)(-1)}}{2(1)}\\\\x=\frac{5\pm\sqrt{25+4}}{2}\\\\x=\frac{5\pm\sqrt{29}}{2}\\\\x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}$

The last step just consists of taking the + and - solution, and since it asks for exact solutions you leave the 29 under the radical, and you don't approximate. There is no further simplification that can be done here.

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2 years ago

Upvote an will mark brainlest

Irina18 [472]

Answer:heyyy there...the answer is b that is -12x^3+12x^2-20

Step-by-step explanation:

<h3>f(x)= -12x^3+19x^2-5</h3><h3>g(x)= 7x^2+15</h3><h3>f(x)-g(x)=(-12x^3+19x^2-5)-( 7x^2+15)...{while opening the bracket the sign of the second polynomial changes accordingly}</h3><h3>it becomes -12x^3+19x^2-5-7x^2-15</h3><h3>=-12x^3+12x^2-20</h3><h3>HOPE IT HELPED UUUU</h3>

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3 years ago

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ivanzaharov [21]

Answer:

$135.60

Step-by-step explanation:

120*13%=15.6

15.60+120.00=$135.60

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3 years ago

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During two years, the population of birds of an island became 7 times more than before. If the first year increase in the popula

9966 [12]

The percent increase of the second year was 85.71%

Step-by-step explanation:

The exponential growth formula is y=a(1+r)^x

where;

y=population after x years

a=original population

r=growth rate as a decimal

x=number of time interval that have passed

Let starting population be p

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y=p(1+0.4)^1 ⇒⇒y=1.4 p

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Increase will be;

9.8p-1.4p=8.4

% increase will be;

8.4/9.8 *100 =85.71%

Learn More

Percent increase: brainly.com/question/13882170

Keywords : population, birds, island,increase

#LearnwithBrainly

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