Answer:
Step-by-step explanation:
Equation
3x + 9 + 2x = x - 2x - 3
Solution
Combine all the like terms.
3x+2x+9 = x - 2x - 3
5x + 9 = -x - 3 Add x to both sides of the equation
5x+x +9 = -x+x -3 Combine
6x + 9 = - 3 Subtract 9 from both sides of the equation
6x+9-9 = - 3-9 Combine
6x = -12 Divide both sides by 6
6x/6 = -12/6
x = - 2
Answer x = - 2
Answer:
option C is the correct answer
Step-by-step explanation:
The trigonometric equation you are using has a general form
y = A* tan w*(x - r)
Where
A is the amplitude of the function
w is the frequency rad/s
r is the phase shift
In your case
A = -2
The frequency is
w = (2*pi)/period
period = pi/4
w = 8
r = -pi/2
y = -2* cos 8*(x + pi/2)
The total number of kids:
8+24 = 32
the ratio is 24:32
it simplifies into 3:4
The expression r - 5√r+r² is a polynomial.
<h3>What is a polynomial?</h3>
Mathematical expressions called polynomials have one variable and many exponents.
The algebraic expression must have all of its exponents be non-negative integers in order for it to be a polynomial. As a general rule, an algebraic expression isn't a polynomial if it contains a radical.
No part of an algebraic expression should be - Variables' square roots. variable powers that are fractional. variable powers that are negative. variables in any fraction's denominator.
Exponents, variables, and constants make up a polynomial. The amount of terms a polynomial has determines its name.
Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively.
The idea of the graph of a polynomial equation was first introduced by René Descartes in La géometrie, published in 1637.
To learn more about polynomial refer to:
brainly.com/question/2833285
#SPJ13
Answer:
b = 1, c = -1 and d = 4
Step-by-step explanation:
To solve this question the rule of multiplicity of a polynomial is to be followed.
If the multiplicity of a polynomial is even at a point, graph of the polynomial will touch the x-axis.
If the multiplicity of the polynomial is odd, graph will cross the x-axis at that point.
From the graph of function 'f',
f(x) = (x - b)(x - c)²(x - d)³
Since, graph of the function 'f' crosses x-axis at x = 1 and x = 4, multiplicity will be odd and touches the x-axis at x = -1 multiplicity will be even.
So the function will be,
f(x) = (x - 1)[x - (-1)]²(x - 4)³
Therefore, b = 1, c = -1 and d = 4 will be the answer.
