what is the solution set for 4x + 12 ≤ 8?

Answer:

x = -3 is the point of discontinuity.

Hence, option B is correct.

Step-by-step explanation:

Given the expression

[tex]y=\frac{5x+6}{x^2+6x+9}[/tex]

In order to determine the discontinuity, the denominator must be 0.

so let us solve the denominator to get the values of x

[tex]x^2+9x+9\:=0[/tex]

[tex]\left(x+3\right)^2=0[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]x+3=0[/tex]

Subtract 3 from both sides

[tex]x+3-3=0-3[/tex]

[tex]x = -3[/tex]

Therefore, x = -3 is the point of discontinuity.

Hence, option B is correct.

Complete question :

The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.02 and a standard deviation of .29.Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

Answer:

0.10868

Step-by-step explanation:

Given that :

Mean (m) = 3.02

Standard deviation (s) = 0.29

Sample size (n) = 20

Probability of 3.10 GPA or higher

P(x ≥ 3.10)

Applying the relation to obtain the standardized score (Z) :

Z = (x - m) / s /√n

Z = (3.10 - 3.02) / 0.29 / √20

Z = 0.08 / 0.0648459

Z = 1.2336940

p(Z ≥ 1.2336) = 0.10868 ( Z probability calculator)

Answer: B) 13 & 1/2

========================================================

Explanation:

There are a few ways to approach this problem. It might be easiest to convert all the fractions to decimal form

1/2 = 0.5

3/4 = 0.75

6 & 3/4 = 6 + 3/4 = 6 + 0.75 = 6.75

The problem is rephrased as: "How many 0.5 cup servings in a box of oatmeal that contains 6.75 cups of oatmeal?"

To find out, we divide the two values (large over small) to get 6.75/0.5 = 13.5

Then convert back to a mixed number:

13.5 = 13 + 0.5 = 13 + 1/2 = 13 & 1/2

--------------------

Side note: The reason why we divide is due to this

x = number of servings

0.5x = total number of cups = 6.75

So we're effectively solving the equation 0.5x = 6.75, in which we divide both sides by 0.5

Answer:

x = 1 and y = 1.5

Step-by-step explanation:

Given that,

12y-6x=12 ..... 1​

8y+4x=16 ...... 2​

Equation (1) can be written as :

2y-x = 2 ... (3)

Equation (2) can be written as :

2y + x = 4 .... (4)

Adding equation (3) and (4)

2y-x + 2y + x = 2 + 4

4y = 6

y = 1.5

Put y = 1.5 in equation (3).

2(1.5)-x = 2

3-x=2

x =1

Hence, the solution of the above equations are (1,1.5).

Answer:

Step-by-step explanation:

900 for adults 9000 for kids in all 9900

Answer:

20 X 45=900 + 15 X 600=9000

the answer is 9900

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

22.5 divided by 3=7.5

Step-by-step explanation:

Answer:

7x^2 -12x(sqrt 14) + 72

Step-by-step explanation:

Use foil and you get

x^2(7) - (3x(sqrt56))+(-3x(sqrt56))+ 9(8)

= The inner terms simplify to -6x(sqrt14) + (-6x(sqrt14)) = -12x(sqrt14)

so answer is

7x^2 -12x(sqrt 14) + 72

Answer:

I belive 14,203

Step-by-step explanation:

Answer:

$5.65

Step-by-step explanation:

Divide 22.6 / 4.

5.65

Best of Luck!

Answer:

I think the answer is 124 though I'm in 8th grade . I have completed algebra 1.

Step-by-step explanation:

The other side of the circle has four minor arcs since they each measure less than  180 .

Answer:

the answer has to be 3(17-y)

Step-by-step explanation:

I'm pretty sure about that cause what I did at first is subtract the numbers.

60-3y-9

=51-3y

factor our 3 from the expression.

3(17-y)

Answer:

option A

Step-by-step explanation:

the expression given is equal 60-3y-9= -3y+51

The option A doing the distributive property will give you the same answer

3(17) and 3(-Y) = 51 - 3y

Answer:

In the 15th century, Europe sought to expand trade routes to find new sources of wealth and bring Christianity to the East and any newly found lands. This European Age of Discovery saw the rise of colonial empires on a global scale, building a commercial network that connected Europe, Asia, Africa, and the New World.

Answer:

Conclusion:

Step-by-step explanation:

Checking -a - 1

From the given line number, we can determine that

The value of a will be negative because it is located on the left side of the origin 0.

i.e. value of a > -2

so

-a - 1 will be positive because if we put the value a = -1.5 let say

then

-a - 1 = -(-1.5) - 1 = 1.5 -1 = 0.5

Therefore, -a-1 will be positive.

Checking -b + 2

As b > 2

putting b = 2.1        (taking the value of b slighly above than 2)

-b+2 = -2.1+2 = -0.1

Therefore, -b + 2 will be negative.

Conclusion:

Answer:

Solution in photo

Step-by-step explanation:

The statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]10^{o}[/tex]" is true.

Angle

When two straight lines or rays intersect at a shared terminal, an angle is generated. The angle can be measured in degrees or radians.

Let us discuss all four options.

The measure of a whole circle is [tex]360^{o}[/tex]

(A) Here, [tex]\frac{10}{360}\times360=10^{o}[/tex]

That is, the statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]36^{o}[/tex]" is false.

(B) Here, [tex]\frac{1}{12}\times360=30^{o}[/tex]

That is, the statement "An angle that turns through [tex]\frac{1}{12}[/tex] of a circle has a measure of [tex]1^{o}[/tex]" is false.

(C) Here, [tex]\frac{10}{360}\times360=10^{o}[/tex]

That is, the statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]10^{o}[/tex]" is true.

(D) Here, [tex]\frac{1}{12}\times360=30^{o}[/tex]

That is, the statement "An angle that turns through [tex]\frac{1}{12}[/tex] of a circle has a measure of [tex]12^{o}[/tex]" is false.

Therefore, option (C) is correct.

Hence, the statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]10^{o}[/tex]" is true.

Learn more about angle here-

https://brainly.com/question/13954458

#SPJ2

Answer:

3846.68182

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Can I get brainliest

C because it is the only option that depicts 2 blue marbles and one red one

Answer:

Step-by-step explanation:

whatever nobody cares and that person gave you the wrong answer

Answer:

B, [tex]10^{2} + 5^{2}- 2(10)(5)cos(75)[/tex]

Step-by-step explanation:

Using the law of cosines, which is [tex]c^{2}=a^{2}+b^{2}-2ab cos(C)[/tex], you can simply insert all the values.

c=|u+v|

a= r value of u (10)

b= r value of v (5)

To find  C, you simply have to subtract v from u, and then subtract that number from 180 to find the reference angle.

I.E.: ∠135 - ∠30 = ∠105 ↔ 180 - 105 = 75 =  C

so, the completed equation would be 10^{2} + 5^{2}- 2(10)(5)cos(75)

Answer:

its B

Step-by-step explanation:

Just got it right on edge

Answer:

363

Step-by-step explanation:

Answer:

363 ft in 11 seconds

Step-by-step explanation:

Your welcome

Answer:

10% of 28=2.8

40% of 28=11.2

Step-by-step explanation:

11.2

Answer:

12

Step-by-step explanation:

Answer:

D. Multiply the second equation by 3. The solution is x = 12, y = 10.

Step-by-step explanation:

First, look at the y variable of the first equation. It is 3y.

To solve by elimination, the variables have to add together to 0.

So, -3y needs to be added to -3y to eliminate the y variable.

The second equation has the y variable of -y, so it has to be multiplied by 3.

So, answer choice D is the correct answer.

Answer:

$8

Step-by-step explanation:

Answer:

it is 9 dollars

Step-by-step explanation:

you do 5 x x =45 x is 9

Answer:

-3

Step-by-step explanation:

4(2)-2(2+4)+1=8-2(6)+1=9-12=-3

Answer:

13

Step-by-step explanation:

4a-2=4×2-2=6

6(2+4) =6×6+1