Answer:
x=-5/2, x=3
Step-by-step explanation:2
2 * -15=-30
-6*5=-30
2x^2-6x+5x-15=0
2x(x-3)+5(x-3)=0
(2x+5)(x-3)=0
2x+5=0 x=-5/2
x-3=0 x=3
Answer:
85°
Step-by-step explanation:
x+32°+63°=180°(being sum of interior angle of triangle)
x=180°-95°
:. x=85°
1) Answer
One set = (7, 6)
Second set = (-6, - 7)
Step by step explanation
Let "x" be a number.
The other number = x -1
The product of the two number is 42
Therefore, x(x -1) = 42
x^2 - x = 42
x^2 - x - 42 = 0
Now we have to factorize the equation.
(x - 7)(x + 6) =0
x = 7 and x = -6
Take x =7, and the other number = x -1
The number is = 7 - 1 = 6
One set of number is (7, 6)
The other set is when x = -6
The other number is = x -1
= -6 -1
= -7
The other set is (-6, -7)
2) Answer
a) x^3 - 49x + 120 = 0
Step by step explanation
Here the solution are 5, 3 and -8
Therefore, the factors are (x - 5)(x - 3) and (x + 8)
Multiplying the factors we get the equation.
(x - 5)(x - 3) (x + 8 ) = 0
(x^2 -5x -3x + 15)(x + 8) = 0
(x^2 - 8x + 15)(x + 8) = 0
x^3 - 8x^2 + 15x + 8x^2 - 64x + 120 = 0
x^3 - 49x + 120 = 0
400 liters ........ hope this helps
Let the number of 2 point shots Sarah made = X
Let the number of 3 point shots Sarah made = Y
Total number of shots Sarah made in all is 8 and it is already given in the problem.
Now in the question, it is also given that Sarah made three times as many 2 point shots as 3 point shots.
Then
X = 3Y
Now we can easily write the equation as
X + Y = 8
3Y + Y = 8
4Y = 8
Y = 8/4
Y = 2
Then the number of 2 point shots Sarah made = 2 * 3
= 6
So Sarah made a total of 6 two point shots.