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1 year ago

Find the solutions to x² = 20.

Mathematics

1 answer:

snow_tiger [21]1 year ago

7 0

Answer:

$x = \pm2 \sqrt 5$

Step-by-step explanation:

$~~~~~~x^2=20\\\\\implies x = \pm\sqrt{20}\\\\\implies x = \pm \sqrt{ 4 \times 5}\\\\\implies x = \pm2 \sqrt 5$

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F(x)= x^2– 3x + 9<br> g(x) = 3x^3+ 2x^2– 4x – 9<br> Find (f - g)(x).

denis-greek [22]

Answer:

$\large \boxed{\sf \ \ -3x^3-x^2+x+18 \ \ }$

Step-by-step explanation:

Hello, please consider the following.

$(f-g)(x)=f(x)-g(x)=x^2-3x+9-(3x^3+2x^2-4x-9)\\\\=x^2-3x+9-3x^3-2x^2+4x+9\\\\=\boxed{-3x^3-x^2+x+18}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

2 years ago

Write a reciprocal function with asymptotes x=4 and y=-9.

gayaneshka [121]

Attached the solution and work.

5 0

3 years ago

Find the length of the missing side. triangle with an 8 inch side and 12 inch side with a right angle 8.9 in. 104 in. 4 in 14.4

Mamont248 [21]

Given:

In a triangle, length of one side is 8 inches and length of another side is 12 inches, and an angle is a right angle.

To find:

The length of the missing side.

Solution:

In a right angle triangle,

$Hypotenuse^2=Perpendicular^2+Base^2$

Suppose the measures of sides adjacent to the right angle are 8 inches and 12 inches.

Substituting Perpendicular = 8 inches and Base = 12 inches, we get

$Hypotenuse^2=8^2+12^2$

$Hypotenuse^2=64+144$

$Hypotenuse^2=208$

Taking square root on both sides, we get

$Hypotenuse=\sqrt{208}$

$Hypotenuse=14.422205$

$Hypotenuse\approx 14.4$

The length of the missing side is 14.4 inches. Therefore, the correct option is D.

4 0

2 years ago

Debra has ridden 57 miles of a bike course the course is 60 miles long what percentage of the course has Debra ridden so far

Reptile [31]

Hello!

To find our answer, we just divide.

57/60=0.95

We multiply by 100 to find our percent

100(0.95)-95

Therefore, our answer is 95%

I hope this helps!

4 0

3 years ago

Read 2 more answers

Pamela drove her car 999999 kilometers and used 999 liters of fuel. She wants to know how many kilometers (k) right parenthesis

Sever21 [200]

Answer: Hello, Here you Answer......

132 km

Given that the relationship between kilometers and fuel is proportional, let the distance in km be k and the fuel be f:

thus:

kα cf

k=cf

where k is the constant of proportionality. Thus:

c=k/f

Pamela drove 99 km and used 9 liters;

∴k=99/9=11 km/liter

therefore distance covered is given by:

k=11f

hence the distance covered with 12 liters of fuel will be:

k=11×12

=132 km Hope this helps! (Brainly)♥

7 0

3 years ago