Answer:
The answer to your question is 2 rational solutions.
Step-by-step explanation:
Equation
y = x² - 8x + 2
Solve using the general formula
x = [8 ± √(-8)² - 4(1)(2)] / 2(1)
Simplification
x = [8 ± √64 - 8] / 2
x = [8 ± √56] / 2
x = [8 ± 2√14]2
x₁ = 4 + √14 x₂ = 4 - √14
As √14 is positive, we conclude that the equation has two rational solutions.
The weight of the kitten will be no less than the weight of the puppy in 1.4 + 1.2x ≥ 2.8 + 0.5x week.
<h3>What is Inequality?</h3>
Statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
A puppy weighs 2.8 pounds at birth and gained about 0.5 pounds per week.
A kitten weighs 1.4 pounds at birth and gains about 1.2 pounds per week.
puppy: 2.8 + 0.5x
Kitten: 1.4 + 1.2x
As, kitten is no less than puppy.
Kitten ≥ puppy
1.4 + 1.2x ≥ 2.8 + 0.5x
hence, the weight of the kitten will be no less than the weight of the puppy in 1.4 + 1.2x ≥ 2.8 + 0.5x week.
Learn more about inequality here:
brainly.com/question/23575974
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Use the formula z=a+bi=|z|(cosθ+isinθ), with |z|=√(a²+b²), and tanθ=b/a<span>
in this case, a=0, b=-3 so </span>|z|=√0²+(-3)²)=3
tanθ=
, notice the denominator is 0, undefined, so the value of θ=π/2
Substitute the values of <span>θ=π/2</span> and <span>|z|=3</span>. into the formula, you'll get <span>3(cos(</span>
)+isin(
))
Answer:
yes zero and integers that are positive are all whole numbers.