Answer:
w=2 w = -9
Step-by-step explanation:
w^2 + 7w - 18 = 0
We can factor this equation
What 2 numbers multiply to -18 and add to 7
9*-2 = -18
9+-2 = 7
(w-2) (w+9) = 0
Using the zero product property
w-2 = 0 w+9 =0
w=2 w = -9
Answer:
x=-4 y=5
Step-by-step explanation:
Rewrite equations:
x=−4y+16;3x+4y=8
Step: Solvex=−4y+16for x:
x=−4y+16
Step: Substitute−4y+16forxin3x+4y=8:
3x+4y=8
3(−4y+16)+4y=8
−8y+48=8(Simplify both sides of the equation)
−8y+48+−48=8+−48(Add -48 to both sides)
−8y=−40
−8y
−8
=
−40
−8
(Divide both sides by -8)
y=5
Step: Substitute5foryinx=−4y+16:
x=−4y+16
x=(−4)(5)+16
x=−4(Simplify both sides of the equation)
Answer:
x=−4 and y=5
First we need the whole garden:
16 x 5 = 80
Now we need to fountain:
5 x 9 = 45
Now to find our answer:
80 - 45 = 35
So our answer is B. 35ft²
Answer:
165 is greater than or equal to 17.75x+5.25; 9 is greater than or equal to x
Step-by-step explanation:
The problem states that they have no more than $165. This means that they either use all the money, or they have leftover money, which means you need to use the 'greater than or equal to' sign. It says that tickets are $17.75 a person, and we're trying to find the number of people (x). You can write this as 17.75x. There is also a parking fee to add on to the equation, which is represented as +5.25. Now, we can solve!
I'm going to use an equal sign to replace the inequality symbol, but make sure to add the symbol at the end of the problem.
165=17.75x+5.25
159.75=17.75x
9=x
Our final answer is 9 is greater than or equal to x. Hope this helps!
