Answer:
see explanation
Step-by-step explanation:
given the 2 equations
y = x² - 2x - 19 → (1)
y + 4x = 5 → (2)
substitute y = x² - 2x - 19 into (2)
x² - 2x - 19 + 4x = 5 ( subtract 5 from both sides )
x² + 2x - 24 = 0 ← in standard form
(x + 6)(x - 4) = 0 ← in factored form
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 4 = 0 ⇒ x = 4
substitute each value of x into (1) for corresponding y- coordinate
x = - 6 : y = (- 6)² - 2(- 6) - 19 = 36 + 12 - 19 = 29 ⇒ (- 6, 29)
x = 4 : y = 4² - 2(4) - 19 = 16 - 8 - 19 = - 11 ⇒ (4, - 11)
the solutions are (- 6, 29), (4, - 11)
Answer:
3 and 9
Step-by-step explanation:
The factors of 18 can be listed as
1, 2, <u>3</u>, 6, <u>9</u>, 18
The two which sum to 12 are 3 and 9
The order will be IV, III, I, and II.
<h2>Polynomial</h2>
Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
Given
I. x + 2xyz
II. 9x³y²
III. 18x² + 5ab - 6y
IV. 4
+ 3x² - x - 4
<h3>To find </h3>
The polynomial expressions from least to greatest are based on their degree.
<h3>How to organize?</h3>
4
+ 3x² - x - 4 is a biquadratic ploynolmial.
18x² + 5ab - 6y is a cubic polynomial.
x + 2xyz is a quadratic polynomial.
9x³y² is a monomial polynomial.
So the order will be IV, III, I, and II.
More about the polynomial link is given below.
brainly.com/question/17822016
50% of 40 is 20, and 40% of 50 is 20, neither one is greater, they're equal