MATHEMATICS HIGH SCHOOL

What is the solution to the inequality?5x + 8 > –12


A.
x < –4


B.
x < 4


C.
x > –4

D.
x > 4

Answers

Answer 1
Answer: The steps to solving an inequality are: add or subtract from each side - multiply or divide both sides - simplify. 

5x + 8 > -12
5x > -12 - 8
5x > -20
x > -20/5
x > -4

The answer is: x > -4
Answer 2
Answer: 5x + 8 > -125x > -12-8. 5x> -20. 5/5x> -20/5. x > -4 C

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Answers

The attached pic shows each step.
Multiply to negative 60 add to negative 11

A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air resistance, its height in feet t seconds after launch is given s=-16t^2+v0t. Find the tim(s) that the projectile will (a) reach a height of 128 ft and (b) return to the ground when v0 is 64 feet per second​

Answers

Answer:

22

Step-by-step explanation:

Need help please need answer fast

Answers

Answer:

What do you need help with?

Step-by-step explanation:

A car moves at speed v across a bridge made in the shape of a circular arc of radius r. (a) Find an expression for the normal force n acting on the car when it is at the top of the arc. (Use any variable or symbol stated above along with the following as necessary: m and g.) n

Answers

Answer:

n=m(g-(v^(2))/(r))

Step-by-step explanation:

If a car is moving across a circular bridge, made in the shape of a circular arc then the force that balances the car when it is on the top of arc will be

n + F = mg

Where n = normal force acting on the car

F = centripetal force

m = mass of the car

We know centripetal force  F=(mv^(2))/(r)

where m = mass of the car

v = velocity of the car on the top of the arc

r = radius of the arc

Therefore, the expression for the normal force 'n' will be

n+(mv^(2))/(r)=mg

n=mg-(mv^(2))/(r)

n=m(g-(v^(2))/(r))

Which of the following lines is not parallel to the graph of y= 9x+1?9y-x=2
y-9x=3
9x-y=2
27x-3y=2

Answers

The requried line is not parallel to the graph of y = 9x + 1 is 1. 9y - x = 2. Option A is correct.

To determine which line is not parallel to the graph of y = 9x + 1, we need to compare the slopes of each line to the slope of y = 9x + 1.

The equation y = mx + b represents a line with slope m. In the case of y = 9x + 1, the slope (m) is 9.

Now, let's check the slopes of each equation given:

A. 9y - x = 2:

To write this equation in the form y = mx + b, we rearrange it as y = (1/9)x + 2/9. The slope is (1/9), which is not equal to 9. Therefore, this line is not parallel to y = 9x + 1.

B. y - 9x = 3:

Rearranging this equation as y = 9x + 3, we can see that the slope is 9, which is equal to the slope of y = 9x + 1. Therefore, this line is parallel to y = 9x + 1.

C. 9x - y = 2:

Rewriting this equation in the form y = mx + b, we get y = 9x - 2. The slope is 9, which is equal to the slope of y = 9x + 1. Therefore, this line is parallel to y = 9x + 1.

D. 27x - 3y = 2:

To put this equation in the form y = mx + b, we divide both sides by 3, which gives 9x - y = 2/3. The slope is 9, which is equal to the slope of y = 9x + 1. Therefore, this line is also parallel to y = 9x + 1.

In summary, the line not parallel to the graph of y = 9x + 1 is 1. 9y - x = 2. Option A is correct.

Learn more about the equation of line here:

brainly.com/question/402319

#SPJ6
I hope this helps you

70 points.Select the correct answer.
Which relation is a function?
(Look at the photo)

Option D didn’t fit in the photo, so here’s it typed out.

x | y
10 15
20 25
8 30
20 35

Answers

Answer:

  • Option A

Step-by-step explanation:

Options B, C and D have repeat x-values with different y-values.

The relationship is many-to-one.

If graphed, those point appear on a vertical line.

Option A has one-to-one relation, so is the only functional relationship

Answer:

A is a function.

Step-by-step explanation:

All the others are one-to-many relations.

For example in B, 3 maps to 10 and also maps to 30 ( one - to - many).

A function is a one-to-one or many-to-one mapping.
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