Find the solution(s) for x in the equation below.x^2 - 9x + 20 = 0

Mathematics

2 answers:

Allisa [31]3 years ago

8 0

Answer:

x = 4, x = 5

Step-by-step explanation:

Given

x² - 9x + 20 = 0

Consider the factors of the constant term (+ 20) which sum to give the coefficient of the x- term (- 9)

The factors are - 4 and - 5, since

- 4 × - 5 = + 20 and - 4 - 5 = - 9, thus

(x - 4)(x - 5) = 0

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 5 = 0 ⇒ x = 5

IceJOKER [234]3 years ago

4 0

Answer:

Step-by-step explanation:

Solve the equation x^2-9x+20=0. First, we need to factorise the equation on the left hand side, this can be done by finding two numbers that add together to make the 'b' coefficient (-9) and multiply to make the 'c' coefficient (20). This will give -5 and -4. Therefore, (x-5)(x-4)=0.

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From an 18-pound cut of meat, Mr. Rand cuts off steaks weighting 1 pound 15 ounces, 3 1/8 pounds, and 4 1/2 pounds. He divides u

worty [1.4K]

Answer:

$\$15.60$

Step-by-step explanation:

Mr. Rand initially starts with 18 pounds of meat. After cutting steaks weighing pound 15 ounces, 3 and 1/8 pounds, and 4 and 1/2 pounds, he will have:

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Since he sells patties that measure 9 ounces, convert 8.4375 pounds to ounces:

$8.4375\text{ lbs}\cdot 16\text{ oz/lb}=135\text{ oz}$

Because each patty is 9 ounces, he can make $\frac{135}{9}=15$ patties. He sells 3 of them for $3.12, meaning the price per patty is $\frac{\$ 3.12}{3}=\$1.04$ .