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USPshnik [31]
3 years ago
14

a) The quadratic 3x^2-12x-11 can be written in the form 3(x+a)^2+b. Find the values of a and b. b) Given that the solutions of t

he equation 3x^2-12x-11=0 can be written as c ± √d, where c and d are rational numbers. Find the values of c and d answer for d as a fraction in it's simplest form
Mathematics
1 answer:
LenKa [72]3 years ago
5 0

Answer:

Step-by-step explanation:

a) 3x^2-12x-11=3*x^2-3*2*2*x+3*4-23=3*(x^2-2*2x+2^2)-23=3*(x-2)^2-23

so  a= -2 ,b= -23

b) x1=[12+V(12^2-4*3* -11)]/6=12/6+V(144+132)/6=2+2/6V69=2+1/3V69=

2+V69/9=2+V23/3

c=2, d= 23/3

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What is the volume of the pyramid to the nearest whole unit?
katovenus [111]

Answer:

Step-by-step explanation:

V= lwh/3

V= ((6)(11)(6))/3

V= 132 yd^3

3 0
3 years ago
Read 2 more answers
Urgent!!!! not worried about a but i need b and #4
Oksi-84 [34.3K]

b) The surface area is 564.5. Picture below.

4. Three possibilities.

Formula for volume of a cylinder: πr^2h

Formula for volume of sphere: 4/3πr^3

If the radius of the sphere is 1 inch than the volume is: 4.18879 or 4.19 rounded.

I used substitution on this website https://www.omnicalculator.com/math/volume

Just plug in the 4.18879 at the cylinder volume and put in a random number in the radius or height whichever you want then it'll give you the one you left blank. You'll find three possibilities for the radius and height of 4.18879 volume.

3 0
3 years ago
Pete dad usually deposits $25 into his bank account every week.for the next weeks he wants to deposit more than the usually $25
Burka [1]

Answer:

The answer is "8(25+x)>500;x>37.50".

Step-by-step explanation:

Please find the complete question in the attached file.

 \to 8(25+x)>500\\\\\to 200 +8x>500\\\\\to 8x> 300\\\\\to x> \frac{300}{8}\\\\\to x> 37.50

That's why above given choice is correct.

3 0
3 years ago
Order from least to greatest 1/8,-3/16,-1/4,1/32,5/32,-1/16
jasenka [17]

Answer

-1/4

-3/16

-1/16

1/32

1/8

5/32

3 0
3 years ago
Consider an experiment where we ask what type of car – either domestic (e.g., Chevrolet, Ford, Chrysler, etc.), foreign built ab
Nostrana [21]

Answer:

12^{20} outcomes for this sample space (under some considerations)

Step-by-step explanation:

Let's define the multiplication principle.

If a first part of an experiment can happen in n1 ways, a second part of an experiment can happen in n2 ways , . . . , a i - part of an experiment can happen in ni ways, then the total outcomes for the all the experiment are

(n1) x (n2) x ... x (ni)

In this exercise n1 = domestic

n1 is the total classes for domestic category

(Let's suppose n1 = 3 because of Chevrolet, Ford and Chrysler)

n2 = 1 (Also supposing we only have ''a Toyota built in Japan'' category for n2)

n3 = 1 (Also supposing we only have ''A Toyota built in Kentucky'' category for n3)

n4 = 4 (Also supposing we only have ''sedan,hatchback, truck or SUV'' category for n4

The possible outcomes for one person in the experiment are

(Domestic).(ForeignBuiltAbrod).(ForeignBuiltInTheU.S).(Style)

Where what it is brackets are the possible categories for that classification.

n1.n2.n3.n4=3.1.1.4=12

We have 20 different people then 12^{20} are the possible outcomes sample space

In the sample space there are 12^{20} outcomes if we consider that we have 3 types of domestic car, 1 type of foreign car built abroad,1 type of foreign car built in the U.S and 4 differents styles for this 20 different people.

7 0
3 years ago
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