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4 years ago

Simplify. Consider all cases. |14−(x−6)| |14−(6-x)|

Mathematics

1 answer:

S_A_V [24]4 years ago

8 0

Answer:

8+x if x > -8

8 if x = 0

-8-x if x < -8

Step-by-step explanation:

|14−(6-x)|

|14−6+x|

|8+x|

8+x if x > -8

8 if x = 0

-8-x if x < -8

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A baby weights 18 pounds at her four month appointment. Six months later she weights 24 pounds. By what percentage did the baby’

Anna11 [10]

Answer: 25%

Step-by-step explanation:

Given : Previous baby's weight = 18 pounds

New baby's weight = 24 pounds.

Increase in weight = New weight -Previews weight

=24 pounds - 18 pounds =6 pounds

Percentage increase in baby's weight = $=\dfrac{\text{Increase in baby's weight}}{\text{previous weight}}\times100$

$\\\\=\dfrac{6}{24}\times100=25\%$

Hence, the percentage increase in baby's weight = 25%

4 0

3 years ago

Solve the inequality 6.2n < 2n + 8.4

Degger [83]

Answer:

n<2

Step-by-step explanation:

6.2n<2n+8.4

Move variable to the left hand side and change its sign

6.2n - 2n < 8.4

Combine like terms

4.2n < 8.4

divide both side by 4.2

n < 2

6 0

3 years ago

A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues,

Alika [10]

The population of the moose after 12 years is 7692

Step-by-step explanation:

The form of the exponential growth function is $y=a(b)^{x}$ , where

a is the initial value
b is the growth factor

The table:

→ x : y

→ 0 : 40

→ 1 : 62

→ 2 : 96

→ 3 : 149

→ 4 : 231

To find the value of a , b in the equation use the data in the table

∵ At x = 0 , y = 40

- Substitute them in the form of the equation above

∵ $40=a(b)^{0}$

- Remember any number to the power of zero is 1 (except 0)

∴ 40 = a(1)

∴ a = 40

- Substitute the value of a in the equation

∴ $y=40(b)^{x}$

∵ At x = 1 , y = 62

- Substitute them in the form of the equation above

∵ $62=40(b)^{1}$

∴ 62 = 40 b

- Divide both sides by 40

∴ 1.55 ≅ b

∴ The growth factor is about 1.55

- Substitute its value in the equation

∴ The equation of the population is $y=40(1.55)^{x}$

To find the population of moose after 12 years substitute x by 12 in the equation

∵ $y=40(1.55)^{12}$

∴ y ≅ 7692

The population of the moose after 12 years is 7692

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

7 0

3 years ago

Dale bought a map of his city.it uses a scale of 1 inch = 8miles. dales house and school are 1 1/2 inches apart on the map. how

dolphi86 [110]

1 inch=8 miles
so if you had x miles on the scale then it is 8 times x mils in real ife

so you are trying to find acutal milage and then convert it to other map of 6 miles per inc
distance=1 and1/2 inches
multiply by 8
1 and 1/2 times 8=8+4=12

so the acual distance is 12 miles

then we convert it
6 miles=1 in
divide by 6
1 mile=1/6 inch
12 miles=1/6 inch itmes 12=12/6=2
2 inches

answer is C

5 0

3 years ago

Can someone pls help

oee [108]

Answer:

A is your answer

Step-by-step explanation:

So, you start with 4 $\frac{2}{3}$ .

If you subtract 4 from nine, you get 5.

Now, you subtract $\frac{2}{3}$ from 5, which ends in 4 $\frac{1}{3}$

3 0

3 years ago