Answer:
x=9
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
----> by intersecting chords theorem
substitute the given values
solve for x
The current of the Naboo River has speed 2 mph. It takes Senator Amidala's boat a total of 3 hours to travel 8 miles upstream an
1 answer:
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Answer:
x = ± 2
Step-by-step explanation:
Given
x² = 24 ( take the square root of both sides )
x = ± = ±
= ±
×
= ± 2
The solution to the system of equations that includes quadratic function f(x) and linear function g(x) is
and
We have given that,
f(x) = 2x^2 + x + 4
x g(x)
-2 1
-1 3
0 5
1 7
2 9
<h3>What is a polynomial function?</h3>A polynomial function is a relation where a dependent variable is equal to a polynomial expression.
A polynomial expression is an expression including numbers and variables, where variables are raised to non-negative powers.
The general form of a polynomial expression is:
a₀ + a₁x + a₂x² + a₃x³ + ... + anxⁿ.
The highest power to a variable is the degree of the polynomial expression. When degree = 2, the function is a quadratic function.
When degree = 1, the function is a linear function.
<h3>How do we solve the given question?</h3>
The quadratic function is given to us:f(x) = 2x^2 + x + 4.
We need to determine the linear equation g(x).
Since it's a linear equation we use the two-point method to determine the equation.
<h3>What is the two-point?</h3>y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁)
We take the points g(-2) =1, g(-1) = 3
g(x) - g(1) = ((g(-2)-g(-1))/(-2+1))*(x-1)or,
g(x) - 1 = ((-2-(-1))/(-2+1))*(x-1)or, g(x) - 1 = -1(-x+1)or,
g(x) = x - 1 + 1 = x
∴ g(x) = x , is the linear function g(x)
We are asked to find the solution to the system of equations f(x) and g(x).To find the solution we need to check what is the common solution to both f(x) and g(x).
For that, we equate f(x) and g(x).2x^2 + x + 4 = x or, 2x² - x +x- 4 = 0or, 2x^2 - 4 = 02(x^2-2)=0x^2-2=0g(-1) = 3(from the table)
The solution to the system of equations that includes quadratic function f(x) and linear function g(x) is and
Learn more about linear and quadratic equations at
#SPJ1
<h2>Answer:
cups of spinach</h2>
Step-by-step explanation:
We use unitary method to solve this question.
The unitary method is a method to solve a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that Freund requires cups of spinach for
cups of strawberry.
So,Freund requires cups of spinach for
cup of strawberry.
So,for cups of strawberries,
=
of spinach are needed.