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alisha [4.7K]
3 years ago
12

Svetlana's hair is 4 cm long. Her hair grows 1.5 cm per month. Svetlana wants her hair to be less than 16 cm long. Write an ineq

uality to determine the number of months, m, Svetlana can allow her hair to grow so that it is less than 16 cm long.
Mathematics
2 answers:
AlekseyPX3 years ago
8 0

Answer:  The required inequality is 4+1.5m

Step-by-step explanation:  Given that Svetlana's hair is 4 cm long and her hair grows 1.5 cm per month. Svetlana wants her hair to be less than 16 cm long.

We are to write an equality to determine the number of months, m, Svetlana can allow her hair to grow so that it is less than 16 cm long.

The total length of her hairs in months 'm' is given by

4+1.5\times m=4+1.5m.

Since Svetlana can allow her hair to grow so that it is less than 16 cm long, so we must write

4+1.5m

Thus, the required inequality is 4+1.5m

sveta [45]3 years ago
4 0

Answer:

m ≤ (16 - 4) : 1.5

Step-by-step explanation:

m ≤ 8 months

God with you!!!

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4.002 x 10^3

Step-by-step explanation:

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2 years ago
What is the process to get 90 divided by 40
lorasvet [3.4K]
\frac{90}{40} =  \frac{9*10}{4*10} =  \frac{9}{4} = 2.25
7 0
3 years ago
Using a linear approximation, estimate f(2.1), given that f(2) = 5 and f'(x) = √3x-1.
algol [13]

Answer:

f\left( {2.1} \right) \approx 5.22360.

Step-by-step explanation:

The linear approximation is given by the equation

                            {f\left( x \right) \approx L\left( x \right) }={ f\left( a \right) + f^\prime\left( a \right)\left( {x - a} \right).}

Linear approximation is a good way to approximate values of f(x) as long as you stay close to the point x= a, but the farther you get from x=a, the worse your approximation.

We know that,

a=2\\f(2) = 5\\f'(x) = \sqrt{3x-1}

Next, we need to plug in the known values and calculate the value of f(2.1):

{L\left( x \right) = f\left( 2 \right) + f^\prime\left( 2 \right)\left( {x - 2} \right) }=5+\sqrt{3(2)-1}(x-2) =5+\sqrt{5}(x-2)

Then

f\left( {2.1} \right) \approx 5+\sqrt{5}(2.1-2)\approx5.22360.

6 0
3 years ago
Solve for x<br> Write the smaller solution first, and the larger solution second.<br> -x^2-8=-33
kenny6666 [7]

Answer:

x = -5, 5

Step-by-step explanation:

-x^2-8=-33

Add 8 to each side

-x^2-8+8=-33+8

-x^2 = -25

Divide each side by -1

x^2 = 25

Take the square root of each side

sqrt(x^2) = ±sqrt(25)

x = ±5

8 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!!!BRAINLIEST PLUS 50 POINTS
docker41 [41]

Use the quadratic formula to find:

x

=

1

±

√

85

5

Explanation:

5

x

2

−

10

x

−

12

is of the form  

a

x

2

+

b

x

+

c

with  

a

=

5

,  

b

=

−

10

and  

c

=

−

12

This has discriminant  

Δ

given by the formula:

Δ

=

b

2

−

4

a

c

=

(

−

10

)

2

−

(

4

×

5

×

−

12

)

=

100

+

240

=

340

=

2

2

⋅

85

This is positive, but not a perfect square, so the quadratic equation has a pair of irrational roots, given by the quadratic formula:

x

=

−

b

±

√

b

2

−

4

a

c

2

a

=

−

b

±

√

Δ

2

a

=

10

±

√

340

10

=

10

±

2

√

85

10

=

1

±

√

85

5

5 0
3 years ago
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