3 years ago

Factor this expression completely x^2 - 9

Mathematics

1 answer:

tekilochka [14]3 years ago

8 0

$x^2-9=(x-3)(x+3)$

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M^2 - 4m +8 = -21 Solve the quadratic equation by completing the square

pshichka [43]

Answer:

m^2-4m=-29

m^2-4m+4=-29+4

(m-2)^2=-25

m=2+-5i

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3 years ago

Find the midpoint of the line segment JK if j (4,6) and k(0,-4)

Snowcat [4.5K]

Answer:

$(2,1)$

General Formulas and Concepts:

Order of Operations: BPEMDAS

Midpoint Formula: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Step-by-step explanation:

Step 1: Define points

J (4, 6)

K (0, -4)

Step 2: Find midpoint

Substitute: $(\frac{4+0}{2},\frac{6-4}{2})$
Add/Subtract: $(\frac{4}{2},\frac{2}{2})$
Divide: $(2,1)$

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Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Laura rents a movie for a flat fee of $2.00 plus an additional $0.50 for each night she keeps the movie. Choose the cost functio

daser333 [38]

Answer:

The cost function that represents this scenario is c(x) = 2 + 0.50x .

Option (b) is correct .

Step-by-step explanation:

As given

Laura rents a movie for a flat fee of $2.00 plus an additional $0.50 for each night she keeps the movie.

if x equals the number of nights Laura has the movie.

Than the cost function that represents this scenario .

c(x) = Flat fee + Cost for x equals the number of nights Laura has the movie.

c(x) = 2 + x × 0.50

c(x) = 2 + 0.50x

Therefore the cost function that represents this scenario is c (x) = 2 + 0.50x .

Option (b) is correct .

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3 years ago

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To win a trivia game, Nathan must score at least 105 points. Each correct answer is worth \large 3\frac{1}{3} points, and each i

myrzilka [38]

Answer:

Nathan earned 100 points. he lost the trivia game by 5 points.

Step-by-step explanation

3 $\frac{1}{3}$ * 33 = 110 points earned

$\frac{1}{2}$ * 20 = 10 points lost

110-10 = 100

Nathan earned 100 points. he lost the trivia game by 5 points.

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3 years ago