Answer:
Exact Form: x= - 7/3
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Answer:
540
Step-by-step explanation:
You divide 9000*6% = 540
So the salewoman earns 540
Answer:
8.3 cm
Step-by-step explanation:
1. Find the volume of the small cylinder (volume of a cylinder = πr² · h)
π(4.5²) · 17 = 1080.945 cm³
2. Set up the equation to find the volume of the big cylinder
πr² · 5 = 1080.945
3. Divide both sides by 5
πr² = 216.189
4. Divide both sides by π (3.14)
r² = 68.85
5. Square root both sides
r = 8.3 cm (rounded to the nearest tenth)
<span>Roster form is a set of members placed between brackets, with each of the individual elements are separated by commas.
For example :
</span><span> {2, 4, 6, 8, 10, 12, ...}.</span>
Answer:
a = 6 and b = -1.
Step-by-step explanation:
To find the maximum value of y = -x²+ ax + b we differentiate it with respect to x to find the value of x at which it is maximum.
So dy/dx = d(-x²+ ax + b)/dx = -2x + a
we equate it to zero.
-2x + a = 0
-2x = -a
a = 2x
Now, given that x = 3 at the maximum value,
a = 2x = 2(3) = 6
Also, substituting y = 8 and x = 3 into y, we have
y = -x²+ ax + b
8 = -(3)²+ a(3) + b
8 = -9 + 3a + b
3a + b = 8 + 9
3a + b = 17
So, b = 17 - 3a
substituting a = 6, we have
b = 17 - 3(6)
b = 17 - 18
b = -1
So, a = 6 and b = -1.
