Answer:
Option 1st is correct
area of a triangle is, 80 in²
Step-by-step explanation:
Area of triangle(A) is given by:
where,
b is the base
h is the height or altitude of the triangle respectively.
As per the statement:
Base of a triangle(b) = 10 inches and
Height = altitude(h) = 16 inches
Substitute these in [1] we get:
⇒in²
Therefore, the area of a triangle is, 80 in²
Zero
One
Infinitely many
The number of solutions of the equation is:
One.
We are asked to find the number of solutions of the equation:
3x+6= -1-3+4x
(
We know that a expression has a unique or one solution if it gives a single value of x after solving the expression.
and we obtain a no solution when the equation gives a false result i.e. the left and right hand side of equality are different.
and infinite many solution if the left and right hand side of equality is same but we can't get a fix value of x )
Now on solving the expression we have:
3x+6= -4+4x
i.e. 4x-3x=6+4
i.e. x=10
Hence, we get a unique value of x.
Hence, the equation has one solution.
3x+5y=26
2x-y=13
Answer:
Step-by-step explanation:
The expression 15 + 6x can be simplified further. The term 15 is a constant because it does not contain a variable. On the other hand, 6x is a variable term because it contains the variable x.
To simplify the expression, you can combine like terms by adding or subtracting the coefficients of the variable terms. In this case, you can't combine 15 and 6x because they are not like terms.
Therefore, the expression 15 + 6x is already simplified and does not have an equivalent expression. It represents the sum of 15 and 6 times x.
2 over the quantity s times t
the quantity of 2 times s all over t
t over the quantity 2 times s
Answer:
Step-by-step explanation:
= x3 + x2 – 4x – 2
= x3 + x2 + 4x + 4
= x3 – x2 – 4x + 4
Answer:
Option D is correct
The cubic polynomial function in standard form is :
Step-by-step explanation:
Given the zeroes of the polynomial function 1 , -2 and 2.
i.e, x = 1 , -2 and 2 where x is the zero of the polynomial function.
we can write this as
x - 1 = 0,
x + 2 = 0 or
x - 2 = 0
(x - 1)(x + 2)(x - 2) =0
Using identities
then;
Multiply the first term of the first expression with second expression;
also,
Multiply the second term of the first expression with second expression;
Now, subtract and
we get;
then, we have;
Cubic function is any function of the form where a, b, c, and d are constants and a≠0
therefore, the given function is cubic function;
so, the cubic function f(x) =