Your first answer will be 3 and your second answer will be 1
Part A.
The set of equations can be solved by substitution. Use the expression one equation gives for y as the value of y in the other equation. This gives
2x²-15 = 3x-6
Subtracting the right side gives a quadratic in standard form that can be solved by any of several methods.
2x² -3x -9 = 0
(2x+3)(x-3) = 0 . . . . factor the above equation
x = -3/2, x = 3 . . . . .use the zero product rule to find x
Now, these x-values can be substituted into either equation for y. The linear equation is often easier to evaluate.
y = 3(-3/2) -6 = -10.5
y = 3(3)-6 = 3
The solutions to the system are (-1.5, -10.5) and (3, 3).
Part B.
The two equations can be graphed. The solutions are where the graphs intersect. The graphs intersect where the (x, y) values that satisfy one equation are the same (x, y) values that satisfy the other equation. Those points of intersection are (-1.5, -10.5) and (3, 3).
Answer:
3 x 3 and there is a negative so 3^2 is 3 x 3 and the number outside the parenthsese is negative so ye
Step-by-step explanation:
Answer:
Thus, the value of expression is .
Step-by-step explanation:
Given : 3 + (2 + 8)power 2 ÷ 4 × 1 over 2 to the power of 4
Mathematically written as
We apply BODMAS,
Where ,
B stands for brackets
O stands for order
D stands for division
M stands for multiplication
A stand for addition
S stands for subtraction.
Consider the given expression,
Using BODMAS rule, solving for brackets first,
Thus, the value of expression is
Answer:
A. 110
Step-by-step explanation:
Angles 4 and 6 are supplementary so if we add them together they will equal 180.
(5a + 10)° + (3a + 10)° = 180°
Simplify a bit to get 8a + 20 = 180
and 8a = 160.
a = 20. Now sub that value of a into the expression for angle 4:
5a + 10 --> 5(20) + 10 = 110°