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2 years ago

Please answer ASAP 5x−29>−34 OR 2x+31<29

Mathematics

2 answers:

elena-14-01-66 [18.8K]2 years ago

6 0

Answer:

x > -1 or x < -1

Step-by-step explanation:

For the first equation, 5x-29 > -3

Step 1: Move the constant to the right and change its sign

5x-29 > -34

5x > -34+29

Step 2: Calculate the sum

5x > -34+29

5x > -5

Step 3: Divide both sides of the inequality by 5

5x > -5

x > -1

Answer: -1

For the second equation, 2x+31 < 29

Step 1: Move constant to the right and change its sign

2x+31 < 29

2x < 29-31

Step 2: Calculate the difference

2x < 29-31

2x < -2

Step 3: Divide both sides of the inequality by 2

2x < -2

x < -1

Answer: x < -1

Lapatulllka [165]2 years ago

5 0

Answer:

x>-1 and x<-1

Step-by-step explanation:

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Part B

Troyanec [42]

Answer:

Part A) The length of a straight line between the school and the Fire Station is $4.6\ miles$

Part B) The length of a straight line between the school and the hospital is $2.1\ miles$

Step-by-step explanation:

The complete question in the attached figure

Let

The positive x-coordinates ----> East

The positive y-coordinates ----> North

The negative x-coordinates ----> West

The negative y-coordinates ----> South

take the point A (0,0) as the Middle School (reference point)

Part A) we have

Town Hall is located 4.3 miles directly east of the Middle School

The coordinates of Town Hall are B(4.3,0)

The Fire Station is located 1.7 miles directly North of Town Hall

The coordinates of Fire Station are C(4.3,1.7)

What is the length of a straight line between the school and the Fire Station?

Remember that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(0,0) and C(4.3,1.7)

substitute

$d=\sqrt{(1.7-0)^{2}+(4.3-0)^{2}}$

$d=\sqrt{(1.7)^{2}+(4.3)^{2}}$

$d=4.6\ miles$

Part B) we have that

The hospital is 3.1 miles west of the fire station

The coordinates of the hospital are D(4.3-3.1,1.7)

D(1.2,1.7)

What is the length of a straight line between the school and the hospital?

Remember that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(0,0) and D(1.2,1.7)

substitute

$d=\sqrt{(1.7-0)^{2}+(1.2-0)^{2}}$

$d=\sqrt{(1.7)^{2}+(1.2)^{2}}$

$d=2.1\ miles$

7 0

2 years ago

The number of VHS movie rentals has declined since the year 2000 due to the popularity of DVDs, as the following table shows. Th

Annette [7]

Answer: the number of VHS movie rentals in 2011 is expected to be 1.13 million.

The table was not provided, but it is not necessary since the exponential regression equation was provided.

The exponential regression equation is the exponential function that best fits the set of data and it is given in the form:
y = a · bˣ

where:
a = initial value of the model
b = exponential grow or decay
x = time passed from the beginning

In our case,
y = 9.92 · (0.8208)ˣ

where:
a = 9.92
b = 0.8208
Since 0 < b < 1 we have an exponential decay, confirming that the number of VHS is decreasing with time.

We can then use this equation to infer the number of VHS movies in 2011.
As a first thing, calculate how many years from the beginning (2000) would pass:
x = 2011 - 2000 = 11

Now, substitute this value in the equation:
y = 9.92 · (0.8208)¹¹
= 1.13

In 2011 we can predict there will be only 1.13 million VHS movie rentals.

3 0

2 years ago

Read 2 more answers

wahaj buy a pizza for rs 800 a week later the same pizza cost re 900 when wahaj ask the manager for the reason he explains that

vazorg [7]

Answer:

it might 1700

Step-by-step explanation:

7 0

2 years ago

IM TAKING AN EXAM HELPPPP!!!!

san4es73 [151]