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3 years ago

How do you show where an inequality is true on a number line?

Mathematics

1 answer:

Mashutka [201]3 years ago

6 0

Answer:

When the two values are different

Step-by-step explanation:

Like in an inequality equation.

For example:

$4+5x\geq 30$

The answer would be anything greate than or equal to 30, but you would need to find x. The number line would be very useful

Hope this helps

You might be interested in

A small boat can travel at 28 per hour how many hours will it take to go across the bay that is 56 miles wide

dsp73

Answer:

2 hours

Remember that time = distance/rate

The distance you need to cover is 56 miles, while you go 28 miles per hour. Using these, we get this:

time=56/28

time=2

So it will take two hours to go across a 56 mile wide bay at 28 mph.

Step-by-step explanation:

8 0

3 years ago

Help! what is the surface area of the prism? 128in^2, 768in^2, 384in^2, or 480in^2

Nimfa-mama [501]

Option C: $384 \ in^2$ is the surface area of the prism

Explanation:

Given figure is a triangular prism.

We need to determine the surface area of the triangular prism.

The formula to find the surface area of the triangular prism is given by

$S A=b h+(s 1+s 2+s 3) H$

where b is the base of the triangle,

h is the height of the triangle,

$s1,s2,s3$ are the three sides of the triangle and

H is the height of the prism.

Let us substitute the values $b=16$ , $h=6$ , $s1=16$ , $s2=10$ , $s3=10$ and $H=8$ in the formula, we get,

$SA=16(6)+(16+10+10)(8)$

Simplifying, we get,

$SA=96+(36)(8)$

Multiplying the term, we get,

$SA=96+288$

Adding the terms, we have,

$SA=384 \ in^2$

Thus, the surface area of the prism is $384 \ in^2$

Hence, Option C is the correct answer.

6 0

3 years ago

How does knowing the slope and y-intercept help you graph and write the equation of a line?

IgorLugansk [536]

Answer:

It allows to to know y-intercept formula which is used to graph a line.

Step-by-step explanation:

Y-intercept formula:

y=mx+b

M: slope (keep in fraction if it is fraction, to help you graph)

B: y-interecept

8 0

3 years ago

Which inequality models this problem?

lana [24]

Answer:

Step-by-step explanation:

$6500 is a one time purchase so there is no variable attached.

$550 and $900 per week is reoccurring so there will be a variable attached.

Since $900 is what she is making each week, this will be separate from her costs (can eliminate D).

To make a profit, her amount earned will need to be greater than her expenses, so the answer is C.

8 0

3 years ago

Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first

Bumek [7]

A function assigns the values. The list of 6 ordered pairs to show the height of the candle inches are (1,8.5), (1,8), (1,7.5), (1,7), (1,6.5), and (1,6).

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

The rate at which the candle burns down is 0.5 inches per hour. Now, if we substitute the value of the point (0,9) in the function of a line, and the rate as well, we will get,

y = mx +c

9 = -0.5(0) + c

c = 9

Now, the equation that can represent the height of the candle at any hour after it is lit will be,

y= -0.5x+9

substitute the value of x as 1, 2, 3, 4, 5, and 6 to get the value of y and form ordered pairs.

y=-0.5(1)+9 = 8.5 inches ⇒ (1,8.5)
y=-0.5(2)+9 = 8 inches ⇒ (1,8)
y=-0.5(3)+9 = 7.5 inches ⇒ (1,7.5)
y=-0.5(4)+9 = 7 inches ⇒ (1,7)
y=-0.5(5)+9 = 6.5 inches ⇒ (1,6.5)
y=-0.5(6)+9 = 6 inches ⇒ (1,6)

Hence, the list of 6 ordered pairs to show the height of the candle inches are (1,8.5), (1,8), (1,7.5), (1,7), (1,6.5), and (1,6).

Learn more about Function:

brainly.com/question/5245372

#SPJ1

8 0

1 year ago