Answer:
The term for (x²-4x+8) and for (x²+4x+8) is negative.
Step-by-step explanation:
The x intercepts are the values of x in which the function is equal to zero. So if x⁴+64=(x²-4x+8)(x²+4x+8), the x intercepts are the values of x that satisfy:
(x²-4x+8) = 0 or (x²+4x+8) = 0
Then, the values of x that satisfy (ax²+bx+c) = 0 are calculated as:
or
So, if the term is negative the graph of the function has no x-intercepts.
Then, for (x²-4x+8) = 0, we get:
At the same way, for (x²+4x+8) = 0, we get:
Y = 3x + 3
y = x - 1
As you can see, both equations are set to equal y. This means the right sides of each equation are equal, since y is isolated in both equations. So to solve this particular system of equations for x, set the right sides of both equations equal to each other. After you've done that, you can proceed to solve the equation algebraically for the variable, x.
3x + 3 = x - 1
2x + 3 = -1
2x = -4
x = -2
Negative two is the x-value. To find the y-value, substitute -2 for x into either equation and solve algebraically for y.
y = x - 1
y = -2 - 1
y = -3
The final step is to check all work by plugging both x- and y-values back into both equations.
y = 3x + 3
-3 = 3(-2) + 3
-3 = -6 + 3
-3 = -3 -- This is true
y = x - 1
-3 = -2 - 1
-3 = -3 -- This is true.
Answer:
(-2, -3)
Answer:
5.74 hours
Step-by-step explanation:
Please kindly check the attached files for explanation.
The number of blue balls that are needed to balance four green, two yellow and two white balls is 16 blue balls.
<h3>Numbers of blue balls needed</h3>
Green(g)
Blue (b)
Yellow (y)
White (w)
First step is to formula an equation
3g=6b
g=2b
2y=5b
y=5/2b
4w=6b
w=3/2b
Second step is to substitute
4g+2y+2w
=4(2b)+2(5/2b)+2(3/2b)
=8b+5b+3b
=16b
Therefore 16 blue balls are needed.
Learn more about Numbers of blue balls needed here:brainly.com/question/27895170
#SPJ1
Hello!
As you can see, there are 9 total activities. As you can see, 6 of them burn more than 400 calories. This gives us the probability 6/9.
Therefore, our answer is C) 6 out of 9
I hope this helps!