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2 years ago

Which is the solution to the inequality?

Mathematics

2 answers:

nydimaria [60]2 years ago

8 0

Answer:

Step-by-step explanation:

It’s b

n200080 [17]2 years ago

4 0

y < –12

Solution:

Step 1: Given inequality is y + 15 < 3.

To find the solution to the inequality.

Step 2: Subtract –15 on both sides to equal the expression.

⇒ y + 15 –15 < 3 –15

Step 2: Using addition identity property, any number adding with zero gives the number itself.

⇒ y + 0 < –12

⇒ y < –12

Hence the solution to the inequality is y < –12.

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here are 1515 people in an office with 55 different phone lines. If all the lines begin to ring at once, how many groups of 55 p

Mashcka [7]

Answer:

360,360 groups of 5 people.

Step-by-step explanation:

We have been given that there are 15 people in an office with 5 different phone lines. We are asked to find groups of 5 people that can answer these lines, if all the lines begin to ring at once.

We will use fundamental principle of counting to solve our given problem.

There are 15 people to answer 1st line, that will leave us with 14 people to answer 2nd line.

Now, we will have 13 people to answer 3rd line, that will leave us with 12 people to answer 4th line.

There are 11 people to answer 5th call.

So 5 lines can be answered in $15\times 14\times 13\times 12\times 11=360,360$ ways.

Therefore, 360,360 groups of 5 people can answer these lines.

6 0

2 years ago

Find the inverse Laplace transform f(t) of the function F(s). Write uc for the Heaviside function that turns on at c, not uc(t).

zzz [600]

Answer:

F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

Step-by-step explanation:

We have given $F(S)=\frac{7e^{-7s}}{s^2-49}$

Now $F(S)=e^{-7s}G(s)$

Here $G(S)=\frac{7}{S^2-49}$

Now first find the Laplace inverse of G(S)

Using partial fraction

$\frac{7}{(s+7)(s-7)}=\frac{A}{(S+7)}+\frac{B}{S-7}$

$7=A(S-7)+B(S+7)$

On comparing the coefficient

$A=\frac{1}{2}$ and $B=\frac{-1}{2}$

On putting the value of A and B

$G(S)=\frac{-1}{2(S+7)}+\frac{1}{2(S+7)}$

Taking inverse Laplace

$G(t)=\frac{-1}{2}e^{7t}+\frac{1}{2}e^{-7t}$

Now in G(s) there is onether term $e^{-7s}$

So F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

6 0

2 years ago

How can 52/9 be expressed as a decimal?

slava [35]

The answer would be about 5.8

4 0

2 years ago

Read 2 more answers

Determine the zero solution f(x)=3x^(2)+5x-12

RideAnS [48]

Answer:

x= -3 or 4/3

Step-by-step explanation:

3x²+5x-12 =0

3x²+9x-4x-12=0

3x(x+3) -4(x+3) =0

(3x-4)(x+3)=0

x=-3 or 4/3

6 0

2 years ago

Michelle found the area of a circle as 78.5 . She used 3.14 for π. What is the radius of the circle? Explain how you found your

NikAS [45]

Answer:

5 units

Step-by-step explanation:

Given:-

- The area of the circle was computed to be A = 78.5

- The value of π is estimated to be = 3.14

Find:-

What is the radius of the circle?

Solution:-

- The area of a circle (A) with radius ( r ) is computed by the following formula:

A = π*r^2

- Divide the equation by π :

r^2 = ( A / π )

- Take the square root of the entire equation:

r = √ ( A / π )

- Substitute the given values:

r = √ ( 78.5 / 3.14 )

- Resolve the fraction:

r = √25

- The perfect square root of 25

r = 5

Answer: The radius of the circle is r = 5 units

3 0

2 years ago

Read 2 more answers