A graph of the equation shows the appropriate choice to be
C. 2_____
If you would rather, you can look at the value of the discriminant. For the equation y = ax²+bx+c, the discriminant (d) is
d = b²-4ac
For your equation, this evaluates to
d = (-8)²-4(2)(5) = 64 -40 =
24When the discriminant is
positive, the function has
two real roots (2 x-intercepts). When it is zero, there is only one x-intercept, and when it is negative, there are none (the roots are complex).
Answer:
3:123 4:0 5:13.69
Step-by-step explanation:
I hope this helps
Let's make some variables to represent the cost of the tables and chairs.
Let x be equal to the cost of one chair
Let y be equal to the cost of one table
The total cost for 3 chairs and 2 tables is $17.
3x + 2y = 17
The total cost for 8 chairs and 4 tables is $37.
8x + 4y = 37
Now we have our system of equations.
Let's solve it.
3x + 2y = 17
8x + 4y = 37
We can cancel the y's very easily. Then it would just leave us with the x's.
Multiply the top equation by -2.
3x(-2) + 2y(-2) = 17(-2) =
-6x - 4y = -34
Then add the equations together.
-6x - 4y = -34
8x + 4y = 37
=
2x = 3
Then just divide both sides by 2.
x = 1.5
Substitute 1.5 into one of the equation. I'll pick 3x + 2y = 17
3(1.5) + 2y = 17 ; Start
4.5 + 2y = 17 ; Multiply 3 and 1.5 together
2y = 12.5 ; Subtract 4.5 from each side of the equation
y = 6.25 ; Divide both sides by the coefficient of y. Which 2
So, a chair costs $1.50 and a table costs $6.25.
Using the Distributive Property
The answer would be 3.
2 *4x = 8x and 2 * 3 = 6, to get 8x 6
Step-by-step explanation:
angle HIJ=107°
angle IDJ=31°
now,
angle HIJ+angle JID=180°{ being straight angle}
107+angle JID=180°
angle JID=180°-107=73°
again,
angle JID+angleIDJ+angleDJI=180°{ sum of angle of triangle}
73°+31°+angleDJI=180°
angle DJI=180°-1104°=76°
hence,
angleAJF=angleDJI{ vertically opposite angle}
x=76°
hope it helps.
