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3 years ago

What are the characteristics of the graph of the inequality x ≤ -8?

Mathematics

2 answers:

alukav5142 [94]3 years ago

7 0

It will used a closed circle

Mumz [18]3 years ago

6 0

2 Answers:

Choice C) It will use a closed circle

Choice D) The ray will move to the left

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Explanation:

The inequality $x \le -8$ means that x = -8 or x < -8. Since we're including -8 itself, which is the endpoint, we'll use a closed circle. In contrast, an open circle would be used if the inequality was $x < -8$ to exclude the endpoint -8.

The ray is to the left because we're visually describing all values smaller than -8. Such example values are -10 and -22 as these values are to the left of -8 on the number line.

In short, the graph consists of a closed circle at the endpoint -8 and the arrow is to the left. We can say the shading is to the left.

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What is the y-intercept of the function f(x) = -3x Ο Ο on who wire on Ο Ο

morpeh [17]

Answer:

see the explanation

Step-by-step explanation:

we know that

The y-intercept is the value of the function when the value of x is equal to zero. Also is called the initial value of the function

I will analyze two cases

Part 1) we have

$f(x)=-3x$

For x=0

substitute

$f(0)=-3(0)=0$

therefore

The y-intercept is the point (0,0)

Part 2) we have

$f(x)=-3^x$

For x=0

substitute

$f(0)=-3^0=-1$

therefore

The y-intercept is the point (0,-1)

6 0

3 years ago

One batch of muffins require 1/4 cup of sugar. Kelly wants to make 3/2 batch of muffins. Will she use more than, less than, or a

Alla [95]

She will use more than 1/4 cup of sugar to make 1.5 batches of muffins. If one batch of muffins requires 1/4 cup of sugar, you can think of the amount of sugar needed being 1/4 cup per batch. That being said multiply 1.5 batches by 1/4 cup per batch to find cups of sugar.
(1.5 batches)x((1/4 cups)/(1 batch))=0.375 cups of sugar.

You can also think of it as if one batch takes 1/4 cup of sugar, half of a batch would take 1/8 cup of sugar. Since 1.5 batches is just 1 batch+1/2 batch, you can say the amount of sugar needed is 1/4 cup+1/8 cup which equals 3/8 cup sugar.

I hope this helps you.

5 0

3 years ago

Albuterol 1.2mg PO.T.I.D. Is ordered for a child weighing 27lb.The recommended dosage is 0.3mg/kg.Available:2mg/5mL.How much of

juin [17]

Answer:

The solution required per dosage is 3 mL and 9.175 mL of solution is required for the recommended dosage in a day.

Step-by-step explanation:

As the weight of the child is given as 27 lbs. Converting it to kgs as

1 kg =2.2042 lb

So 27 lbs=27/2.2042 kg

The weight of the kid in kg is 12.247 kg.

As the recommended dosage is 0.3 mg/kg/hour so for the weight of the kid the recommended dosage for the day is given as

Recommended dosage=0.3*12.247 =3.67 mg per day

As the concentration is given as 2 mg/5mL

So for each dose the solution is found as

Solution per dose is as Dose Value/Concentration=1.2/(2/5)=3 mL

So the solution required per dosage is 3 mL

Now for the solution required per day is given as

Solution per day is as =Dose Value/Concentration=3.67/(2/5)=9.175 mL

So 9.175 mL of solution is required for the recommended dosage in a day.

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3 years ago

What is the solution of sqrt x^2 + 49 = x +5

Sunny_sXe [5.5K]

The first option. x=12/5

4 0

3 years ago

Read 2 more answers

2. Does the graph show a proportional relationship? Explain. *

xxMikexx [17]

Answer:

Yes

Step-by-step explanation:

The two rules for a proportional relationship are

The line is straight (Check)
The line goes though the origin (Check)

Because of that it is a proportional relationship.

Hope this helps :)

4 0

3 years ago