Let the numbers be x and y. Then xy = -30 and x+y = -3.
Solve xy = -30 for y: y = -30/x
subst. -30/x for y in x+y= -3: x - 30/x = -3
Multiply all 3 terms by x: x^2 - 30 = -3x, so x^2 + 3x - 10 = 0
Solve this quadratic equation for x. x: {-5, 2}
If x = -5, then x+y = -3 becomes -5 + y = -3, and y = 2.
You should check to determine whether x=2 is also correct. If it is, what is the corresponding y value?
Use a calculator it will help.
Answer:
Hey! Ok so the height is C.10 ft.
Step-by-step explanation:
So to find the height I have to do
h=Vlw =540 12·4.5=10
So therefore its 10
Hope you have a great day! I'm Eve btw Hoped this helped and consider marking this brainiest!
Answer:
There are (63) combinations. The notation means "six choose three". Out of six items (flavors) choose three.
(nk)=n!k!(n−k)!.
(63)=6!3!3!.
Think of it this way. There are 6 ways to choose a flavor. Once you choose, there are 5 ways to choose the next. After that, there are 4 flavors left. which is 6!/3!=6⋅5⋅4⋅3⋅2⋅13⋅2⋅1=6⋅5⋅4=120.
But, you could have chosen {chocolate,vanilla,strawberry} and you get the same combination as {vanilla, strawberry, chocolate} so we have to divide by 3!=3⋅2⋅1=6 to account for the order of choosing.
So the number of combinations of flavors is (63)=1206=20.
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Answer:
(a) 2 3/8 cups
(b) 3-cup
Step-by-step explanation:
1 1/2 + 3/4 + 1/8
The common denominator is 8
1 4/8 + 6/8 + 1/8 = 1 11/8 = 2 3/8 cups
I choose 3-cup mixing bowl since it fits 2 3/8 cups ingredients.
