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jonny [76]
3 years ago
8

Help ASAP WILL NSRK BRAINLIST IF CORRECT

Mathematics
1 answer:
pashok25 [27]3 years ago
5 0

Answer:

(1,1)

Step-by-step explanation:

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Janice NEEDS 3 GALLONS of lemonade for a party. She has 4 quarts, 6 pints and 4 cups of lemonade already made. How many CUPS of
slamgirl [31]

Answer:

32 cups

Step-by-step explanation:

To find the total number of cups, we have to convert the measures that are not in cups to cups and add

1 quart  = 4 cups

4 quarts = 4 x4 = 16 cups

1 pint = 2 cups

6 pints = 2 x 6 = 12 pints

total number of cups = 16 + 12 + 4 = 32 cups

4 0
3 years ago
Ms. Chu needs to buy hot dogs and buns for the school picnic. She needs at least one hot dog and bun for each of the 40 students
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3 years ago
You and three friends go out to eat and decide to split the bill evenly. The food you order comes to a total of $48. If you leav
zloy xaker [14]

Answer:

11.64

Step-by-step explanation:

100%-> 48

15%-> 7.20

6.25%-> 3

48+7.20+3=58.20

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4 0
3 years ago
Help me, please and ty
Ira Lisetskai [31]

Answer:

3/5, 30%, 0.1

Step-by-step explanation:

0.4 + 1/2 + 40% = 0.4 + 0.5 + 0.4 = 1.3

3/4 + 0.25 + 1/2 = 0.75 + 0.25 + 0.5 = 1.5

3/5 + 30% + 0.1 = 0.6 + 0.3 + 0.1 = 1

The last choice is a probability complement because all values add to 1.

8 0
3 years ago
Factor f(x)=x4-x3-7x2+13x-6 completely. Then Sketch the graph
Dennis_Churaev [7]

ANSWER TO QUESTION 1


f(x)=(x-2)(x+3)(x-1)^2.



EXPLANATION


The function given to us is,


f(x)=x^4-x^3-7x^2+13x-6


According to rational roots theorem,


\pm1,\pm2,\pm3,\pm6 are possible rational zeros of  


f(x)=x^4-x^3-7x^2+13x-6.


We find out that,


f(-3)=(-3)^4-(-3)^3-7(-3)^2+13(-3)-6


f(-3)=81+27-63-39-6



f(-3)=6-6



f(-3)=0


Also




f(2)=(2)^4-(2)^3-7(2)^2+13(2)-6



f(2)=16-8-28+26-6



f(2)=6-6



f(2)=0


This implies that  


x-2 and x+3 are factors of



f(x)=x^4-x^3-7x^2+13x-6 and hence (x-2)(x+3)=x^2+x-6 is also a factor.



We perform the long division as shown in the diagram.



Hence,


f(x)=(x-2)(x+3)(x-1)^2.


ANSWER TO QUESTION 2

Sketching the graph

We can see from the factorization that the roots  

x=2 and x=-3 have a multiplicity of 1, which is odd. This means that the graph crosses the x-axis at this intercepts.


Also the root x=1 has a multiplicity of 2, which is even. This means the graph does not cross the x-axis at this intercept.



Now we determine the position of the graph on the following intervals,


x\le -3


f(-4)=(-4)^4-(-4)^3-7(-4)^2+13(-4)-6


f(-4)=150\:>0



-3\le x \le 1


f(0)=-6\:


1\le x\le 2


f(1.5)=-0.56\:



x \ge 2



f(3)=24\:>0



We can now use these information to sketch the function as shown in diagram



4 0
3 years ago
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