Answer:
3.50378787879
Step-by-step explanation:
Answer:
Step-by-step explanation:
There are 3 ways to find the other x intercept.
1) Polynomial Long Division.
Divide x^2 - 3x + 2 by the binomial x - 2, because by the Factor Theorem if a is a root of a polynomial then x - a is a factor of said polynomial.
2) Just solving for x when y = 0, by using the quadratic formula.
.
So the other x - intercept is at (1, 0)
3) Using Vietta's Theorem regarding the solutions of a quadratic
Namely, the sum of the solutions of a quadratic equation is equal to the quotient between the negative coefficient of the linear term divided by the coefficient of the quadratic term.
And the product between the solutions of a quadratic equation is just the quotient between the constant term and the coefficient of the quadratic term.
These relations between the solutions give us a brief idea of what the solutions should be like.
Answer:14+8c
Step-by-step explanation:
Answer:
Step-by-step explanation:
diagram attached represents a function g(x).
Circle (1) (circle on the left) represents the set of domain (input values) and circle (2) represents the range (output values).
a). For input value x = 7, out put value of the function is y = 9.
Therefore, g(7) = 9 will be the answer.
b). Range of the function g(x) is the set of output values.
Range: {12, 9, 9, 17}
c). Inverse of the function g(x) will have,
Domain: {12, 9, 9, 17}
Range: {4, 7, 10, 15}
For input value of x = 9, there are two output values y = 7, 10.
Since, "a function can't have two output values for the same input value".
Therefore, inverse of the function g(x) will not represent a function.
∠C is 148°.
Step-by-step explanation:
- Step 1: Given ∠A = 16° and ∠B = (10x - 64)°. Also, AC = BC. Now, the angles opposite to equal sides of a triangle are equal. So ∠B = 16°
- Step 2: Sum of angles of a triangle is 180°
⇒ 16° + 16° + ∠C = 180°
⇒ ∠C = 180 - 32 = 148°
