In a study of 100 new cars, 29 are white. find and , where is the proportion of new cars that are white

Rewrite f(x) = –2(x − 3)2 + 2 from vertex form to standard form. pleae help.

-Dominant- [34]

F(x) = -2(x - 3)² + 2
f(x) = -2(x - 3)(x - 3) + 2
f(x) = -2[x(x - 3) - 3(x - 3)] + 2
f(x) = -2[x(x) - x(3) - 3(x) - 3(-3)] + 2
f(x) = -2(x² - 3x - 3x + 9) + 2
f(x) = -2(x² - 6x + 9) + 2
f(x) = -2(x²) - 2(-6x) - 2(9) + 2
f(x) = -2x² + 12x - 18 + 2
f(x) = -2x² + 12x - 16

7 0

3 years ago

Read 2 more answers

Let U= U= Universal set ={0, 1, 2, 3, 4, 5, 6, 7, 8, 9}={0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A={1, 3, 4, 5, 7, 9} A={1, 3, 4, 5, 7,

blagie [28]

Answer:

a) $A' = [0,2,6,8]$

b) $(AUB)' = [0,2,6]$

c) $(AUB')' = [9]$

d) A∩B′ $= [3,5,9]$

Step-by-step explanation:

Assuming this problem: "Let U= U= Universal set ={0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A={1, 3, 4, 5, 7, 9} , and B={1, 4, 7, 8} . List the elemetns of the following sets in the increasing order: a) A′= b) (A∪B)′={ , , }} c) (A∪B′)′={ }} d) A∩B′={ , , }}"

Part a

For this case we just need to find the elements in the universal set that are not in A. And we see that:

$A' = [0,2,6,8]$

And that represent the complement for A

Part b

For this case we need to find first the Union AUB who are the elements on A or B without repetition and we got:

$AUB = [1,3,4,5,7,8,9]$

And now the complement for (AUB)' are the elements that are not in AUB but are on the universal set and we got:

$(AUB)' = [0,2,6]$

Part c

For this case we need to find B' who are the elements on the universal set that are not in B

$B' = [0,2,3,5,6,9]$

Then we can find the union between AUB' and we got:

$AUB' = [0,1,2,3,4,5,6,7,9]$

And then the complment is just:

$(AUB')' = [9]$

Part d

For this case we just need to see the elements in common between A and B' and we got:

A∩B′ $= [3,5,9]$

6 0

4 years ago

Urgent! 10 points! I will give brainliest! How do I find out whether the graph of this table is discrete or continuous? There is

STatiana [176]

Answer:

If there is no context given, you cannot find out whether the graph is discrete or continuous.

6 0

4 years ago

Paul’s Paints sells a 24-gallon case of paint for a total of $576, including tax. Stella’s Paints sells a 64-gallon case of pain

wlad13 [49]

Paul's paint : 576 / 24 = $ 24 per gallon
Stella's paint : 1664 / 64 = $ 26 per gallon

store that sells for the least amount is : Paul
with the difference in price being : $ 2

4 0

3 years ago

Can someone please help me with 7 and 8...thank you <3

Ivenika [448]

Answer:

Step-by-step explanation:

7. <A + [Since Co-interior angles]

=> 51° + <B = 180°

=> <B = 180° - 51°

=> 

8. <M + <N = 180°  [Since Co-interior angles]

=> 95° + <N = 180°

=> <N = 180° - 95°

=> <N = 85° (Ans)

8 0

3 years ago