4)
In the graph we can see that the graph intersects the x axis at -5 & 1
So x = -5 or x= 1
Hence
x +5 = 0 or x -1 = 0
Multiplying them we get
(x+5)(x-1) are the correct factors
Option C) is the right answer
5)
We have
x² - 10x + 24=0
We need two numbers which add to give -10 & multiply to give 24.
The numbers are -6 & -4
We split the term -10x
We get
x² -6x-4x+24=0
x(x-6)-4(x-6)=0
(x-6)(x-4)=0
Using Zero Product rule
x-6 = 0 or x-4=0
x = 6 or x = 4
Option C) is the right answer.
Answer:
5.6
Step-by-step explanation:
(2+3+5+7+11)/5
=5.6
Let's call one number x and one number y.
x/2=y
x+y=57
We can set these equations equal to each other to solve for the numbers by subtracting x from both sides of the second equation. Now the equations are:
y=-x+57 and x/2=y
Since both equations equal y, they are also equal to each other:
-x+57=x/2
First, multiply both sides by 2:
-2x+114=x
Add 2x to both sides.
114=3x
Divide both sides by 3.
38=x
One of the numbers is 38. Now, we can plug 38 in for x in either of the equations to solve for y:
(38)+y=57
Subtract 38 from both sides:
y=19
The two numbers are 38 and 19.
I hope this helps :)
Answer:
5:20pm
Step-by-step explanation:
120+100=320minutes
320/60=5hrs 20min
12+5:20= 17:20pm or 5:20pm