Answer:
![(x + 3)(x - 2)(x - 1)](https://tex.z-dn.net/?f=%28x%20%20%20%20%20%2B%20%203%29%28x%20%20%20-%20%202%29%28x%20-%201%29)
Step-by-step explanation:
![{x}^{3} - 7x + 6](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B3%7D%20%20-%207x%20%2B%206)
Factor using Rational Root Theorem.
This means our possible roots are
positve or negative (1,2,3,6). If we try positve 1, it is indeed a root.
This means that
![(x - 1)](https://tex.z-dn.net/?f=%28x%20-%201%29)
is a root.
We can divide the top equation by the root (x-1). Our new equation is
![( {x}^{2} + x - 6)](https://tex.z-dn.net/?f=%28%20%7Bx%7D%5E%7B2%7D%20%20%20%2B%20%20x%20-%206%29)
Now we can factor this completely
![(x + 3)(x - 2)](https://tex.z-dn.net/?f=%28x%20%2B%203%29%28x%20-%202%29)
So this equation in factored form is
![(x + 3)(x - 2)(x - 1)](https://tex.z-dn.net/?f=%28x%20%20%2B%203%29%28x%20-%202%29%28x%20-%201%29)
Answer: x=-4
Step-by-step explanation:
The main formula of a spherical surface area is SA= 4 x Pi x r²
the circumference is C= 19cm =2 Pi r, so r = C/ 2Pi = 19 / 6.28 =3.02cm
so the surface area can be found by computing
SA= 4x 3.14x 3.02² =114.5, the nearest square centimeter is <span>A) 114 cm^2</span>
Answer:
B.12 ounces
Step-by-step explanation:
step 1
Find out the ounces of orange juice concentrate used yesterday
Let
x ----> ounces of orange juice concentrate used yesterday
y ---> ounces of water used yesterday
we know
that
----> equation A
----> equation B
substitute equation B in equation A
solve for x
step 2
today she wants to make twice as much orange juice.
To find out how much orange juice concentrate she needs, multiply the ounces of orange juice concentrate used yesterday by 2
so
Answer:
17.5
Step-by-step explanation:
15.05 divided by 0.86 is 17.5