<u>Answer:</u>
It's X=2
<u>Working out:</u>
<u>(left one):</u>
2(x+3)=10
2x+6=10
2x=10-6
2x=4
x=2
Working out:
(right one):
2(x+3) must be all divided by 2 so it will be x+3 and same for 10, it will be 5 so...
x+3=5
x=5-3
x=2
Hope it helps ^---^
{(-5,64), (2,1)}
linear equation: y = -9x + 19
quadratic equation: y = x² - 6x + 9
Substitute the y in the quadratic equation by the its value in the linear equation.
-9x + 19 = x² - 6x + 9
- 19 - 19 *subtract 19 to both sides
-9x = x² - 6x -10
+9x + 9x *add 9x to both sides
0 = x² + 3x - 10
0 = (x + 5) (x - 2) *Factor
Set each factor = 0 and solve
x + 5 = 0 ; x - 2 = 0
x = -5 ; x = 2
Find the corresponding value of y using the linear equation.
y = -9x + 19
x = -5 x = 2
y = -9(-5) + 19 y = -9(2) + 19
y = 45 + 19 y = -18 + 19
y = 64 y = 1
(-5,64) (2,1)
Check each value on each equation.
y = x² - 6x + 9
(-5,64) (2,1)
64 = (-5)² - 6(-5) + 9 1 = 2² - 6(2) + 9
64 = 25 + 30 + 9 1 = 4 - 12 + 9
64 = 64 1 = 1
y = -9x + 19
64 = -9(-5) + 19 1 = -9(2) + 19
64 = 45 + 19 1 = -18 + 19
64 = 64 1 = 1
{(-5,64), (2,1)}
A=35+5t, b=100-8t, a=b when:
35+5t=100-8t subtract 35 from both sides
5t=65-8t add 8t to both sides
13t=65 divide both sides by 13
t=5 minutes
a=35+5(5)=60 gallons
So the tanks have an equal volume of 60 gallons after five minutes.
There are 14 fruit to start with and 2 bananas
2/14
then there are 13 fruit and 2 pears
2/13
So the probability of the two events in a row without replacement is:
(2/14)(2/13)=4/182
2/91 ( about 2.2%)
opposite of a sum property
hope it helps
