An x-intercept is what x is equal to when y, or in this case q(x) is equal to 0. Lets set our equation up.
0=-2(x+3)^2 +8
-8=-2(x+3)^2
4=(x+3)^2
+-2=x+3
x=3+-2
x=1,x=5
I'm guessing you have to simplify this?
You distribute 4 to whatever is in the parenthesis.
So
4•y=4y
4•6=24
And of course there's the 5y that stays the same.
You get 4y+24+5y
Which simplifies to 9y+24 because you can group the 4y and 5y together.
In the end, you get 9y+24.
Total possible outcomes=42. No.of favourable outcomes=15. Then the probability of getting a base ball card is15/42
The formula of the future value of annuity ordinary
Fv=pmt [(1+r/k)^(kn)-1)÷(r/k)]
Fv future value
Pmt payment
R interest rate 0.0425
K compounded monthly 12
N time 10 years
If the payment 150
Fv=150×(((1+0.0425÷12)^(12
×10)−1)÷(0.0425÷12))
=22,381.089
If the payment 200
Fv=200×(((1+0.0425÷12)^(12
×10)−1)÷(0.0425÷12))
=29,841.452
How much more
29,841.45−22,381.09
=7,460.36
125 ÷ 25 is 5
5 ⋅ 6 is 30
Joseph will go 30 miles in 6 hours
The answer is 30.