Answer:
This is a fourth-degree polynomial
X-intercepts are - 5, -5, 3, and -3
The Y-intercept is 225
Step-by-step explanation:
Since it's already in the factored form you can find the zeros by separating each binomial and solving for x
x
2
−
25
=
0
x
2
=
25
x
=
±
5
x
2
−
9
=
0
x
2
=
9
x
=
±
3
so
x
=
±
5
,
±
3
To find the y-intercept and the degree of the polynomial we need to convert the factored form into standard form
f
(
x
)
=
(
x
2
−
25
)
(
x
2
−
9
)
f
(
x
)
=
x
4
−
9
x
2
−
25
x
2
+
225
f
(
x
)
=
x
4
−
34
x
2
+
225
The degree of a polynomial is just the leading coefficients power which is 4 in this equation
In order to find the y-intercept we just need to allow
x
=
0
because that is when any equation will cross the y-axis
f
(
x
)
=
0
4
−
34
(
0
)
2
+
225
f
(
x
)
=
225
Answer:
14,080,000
Step-by-step explanation:
where the 4 is is the millions place
where the 1 is is the 10 millions place
where the 8 is is the 10 thousands place
Answer:
no, the first dog is faster
Step-by-step explanation:
the first dog went 5m in 1 second that means he can go 75m in 15 seconds. the other dog went 75m in 15.5 seconds.
So, since y= -7x + 15, and it also equals 5x - 9, you can take what y equals (either one works in this scenario) so lets take the 5x - 9. since this is what y equals, you can take that expression and replace y with it in the other equation. After you do this you'd get 5x - 9 = -7x + 15. Now both sides of this equation are equal to y. To find the solution, you solve for the variable. After you do this, you get x = 2. Now that you know what x is, you can plug that into any of the original equations to find y. lets use y = 5x - 9 again. This time, substitute x with the number you found earlier, 2. Then you solve. It should look like this: y = 5(2) - 9. So y is 1. There is your answer, x = 2, y = 1.
