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Alexeev081 [22]
2 years ago
5

Lionel wanted to share 4 muffins with his 5 friends. He separated the muffins into 6 equal parts​

Mathematics
1 answer:
Alinara [238K]2 years ago
4 0

Answer:

24 muffins, each friend gets 4. There are 4 remaining

Step-by-step explanation:

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Use the following graph to estimate the rate of change of the function at x=0.6 using the points (0,0) and (1,−0.5)
svetoff [14.1K]

Answer:

The rate of change of the function at x = 0.6 is approximately -0.72

Step-by-step explanation:

The given information from the graph are;

Points (0, 0) and (1, -0.5)

We have that the graph is that of a cubic function, therefore;

f(x) = ax³ + bx² + cx + d

At f'(x) at  (0, 0) and (1, -0.5) = 0 gives;

3ax² + 2bx + c = 0

∴ c = 0

Also

ax³ + bx² + cx + d = 0

d = 0

We have

3a(1)² + 2b(1) + 0 = 0

3·a + 2·b = 0..............(1)

a(1)³ + b(1)² + c(1) + d = -0.5

a + b + 0×(1) + 0 = -0.5

a + b = -0.5..........(2)

Multiplying equation (2) by 2 and subtracting it from equation (1) gives;

2 × (a + b = -0.5) = 2·a + 2·b = -1

3·a + 2·b - (2·a + 2·b) = 0 - (-1) = 0 + 1 = 1

a = 1

From

a + b = -0.5, we have;

1 + b = -0.5 = 0

b = -0.5 - 1 = -1.5

The equation becomes

f(x) = x³ - 1.5·x²

The rate of change of the function at x = 0.6 is therefore given as follows;

f'(x) = 3 × x² - 2 × (1.5)·x = 3·x² - 3·x

At x = 0.6, we have;

f'(0.6) = 3·(0.6)² - 3·(0.6)

f'(0.6) = 3×0.6² - 3×0.6 = -0.72

The rate of change of the function at x = 0.6 ≈ -0.72

4 0
3 years ago
kayla has a T shirt store. she sold three times as many white T shirts as blue T shirts, she sold a total of 48 T shirts. how ma
bezimeni [28]

WT is white T shirts

BT is blue T shirts, and WT=3BT

WT+BT=48

3BT+BT=48

4BT=48

BT=12 so WT =3×12=36

5 0
3 years ago
cost $12 for adults and 5$ for children .on the first day of the fair 312 tickets were sold for a total of 2204$.How many adults
IrinaVladis [17]

The number of adult tickets and children tickets sold were 92 and 220 respectively

What differentiate adult tickets from children's

The adult tickets can be represented by a while children's ticket is c

The total number of tickets sold which is 312 means the sum of a and c

a+c=312

Total value of adult tickets=a*12

total value of children tickets=c*5

12a+5c=2204

Solve for a in the first equation

a=312-c

substitute for a in the second equation

12a+5c=2204

12(312-c)+5c=2204

3744-12c+5c=2203

3744-2203=12c-5c

1541=7c

c=1541/7

c=220

a=312-220

a=92

Find out more about ticket pricing on: brainly.com/question/13711180

#SPJ1

3 0
2 years ago
What is 345.5 plus three tenths ?
vekshin1

Answer:

345.8

Step-by-step explanation:

7 0
3 years ago
Write (-2,5) and (0,8) linear equation in slope intercept form
maxonik [38]

Answer: y= 3/2x+8

Step-by-step explanation:

5 0
2 years ago
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