MATHEMATICS COLLEGE

What is the solution of the equation (x - 5)2 +3(x-5)+9 = 0? Use u substitution and the quadratic formula to solve.​
What is the solution of the equation (x - 5)2 - 1

Answers

Answer 1
Answer:

Answer:

x= (7+3i√(3) )/(2) and (7-3i√(3) )/(2)

Step-by-step explanation:

(x - 5)^(2) +3(x-5)+9

(x - 5)^(2)= x2−10x+25

3(x-5)= 3x-15

x^2-10x+25+3x-15+9

x^2-7x+19=0

a=1 b=-7 c=19

use quadratic formula

\frac{-b+\sqrt{b^(2) -4ac} }{2a}

\frac{-(-7)+\sqrt{-7^(2)-4(1)(19) } }{2}

\frac{7+\sqrt{49{}-4(19) } }{2}

\frac{7+\sqrt{49{}-76 } }{2}

\frac{7+\sqrt{-27{} } }{2}

√(-27) =3i√(3)

(7+3i√(3) )/(2)

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1Linda purchased 12 pounds of potatoes on Friday and
25 pounds of potatoes on Saturday. What was the total
weight, in pounds, of potatoes purchased by Linda in the
two-day period?

A. 3
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B. 3
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C. 3
D. 3
*3
O O CONCO
5
E 3
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Answers

Answer:b

Step-by-step explanation:

Please help

determine all the unknown values of the figure below.

Answers

Answer:

F=12.76

S=27.18

X=62 degrees

Step-by-step explanation:

hope this helps

mark brianliest ;)

Based on the right-angled triangle shown above, all the unknown values are;

S = 27.18 units

F = 12.76 units

x = 62°.

How to determine the measure of the missing side lengths and angle?

In order to determine the measure of the missing side length, we would have to apply the basic cosine trigonometric function because the given side lengths represent the adjacent side (24) of a right-angled triangle;

cos(θ) = Adj/Hyp

Where:

  • Adj represent the adjacent side of a right-angled triangle.
  • Hyp represent the hypotenuse of a right-angled triangle.
  • θ represent the angle.

For the cosine trigonometric function ratio, we have the following:

cos(28) = 24/S

S = 24/cos(28)

S = 27.18 units

From tangent trigonometric function ratio, we have the following:

tan(28) = F/24

F = 24tan(28)

F = 12.76 units

Since the angles formed by a right-angled triangle are acute complementary angles;

x + 28 = 90

x = 90 - 28

x = 62°.

Read more on trigonometric function here: brainly.com/question/24349828

#SPJ3

What is the least common denominator of the equation StartFraction 2 Over 9 EndFraction x + two-thirds x = 7?

Answers

Answer:

the answer is b

Step-by-step explanation:

Answer: b

Step-by-step explanation:

Drive Down is a racing video game. The game gives each player an initial amount of $5,000 in virtual money. After that, a player gets $500 in virtual money for each race won. What function represents the amount of virtual money a player has in terms of the number of races won?The independent quantity is the (blank), and the dependent quantity is the (blank). The function representing the situation is (blank).

Ist blank choices- A.) amount of virtual money B.) number of races completed C.) number of races won 2nd blank choices- A.) amount of virtual money B.) number of races completed C.) number of races won 3rd blank choices- A.) y=500x-5,000 B.) y=5,000x+500 C.) 5,000x-500 D.) y=500x+5,000

Answers

3rd is definitely D.

What is the product of the expressions? Assume y does not equal 0.

Answers

Answer:

The correct answer would be option 4

12x+20

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Hope that helps.Thank you!!!

What is the range in temperatures if the high temperature is 78 degrees and the lowtemperature is -23 degrees?

Answers

Answer: The range is 101 degrees.
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