The graph of the function f(x) = (x + 2)(x + 6) is shown below. Which statement about the function is true? The function is positive for all real values of x where x > –4. The function is negative for all real values of x where –6 < x < –2. The function is positive for all real values of x where x < –6 or x > –3. The function is negative for all real values of x where x < –2.

Answers

Answer 1

Answer:

he function is negative for all real values of x where –6 < x < –2 (True)

Step-by-step explanation:

(x+2) can be written as

x + 2 = 0

x = -2

(x+6) can be written as

x + 6 = 0

x = -6

Both of these can be written as -6 < x < -2

1) he function is positive for all real values of x where x > –4.

(All values are between -2 and -6 and they are negative therefore this statement is false.)

2) True (explained above)

3) The function is positive for all real values of x where x < –6 or x > –3.

(x>-2 includes -3 but x>-3 does not include -3 therefore, this is false.)

4) The function is negative for all real values of x where x < –2. (It is not negative for all values as there is a limit between -2 and -6.)

!!


Related Questions

In order to avoid a training violation, 85% of your store's employees must complete diversity training by the end of the week. You have 142 employees at your store and 91 have currently completed the training. How many more employees must complete the training by the end of the week to avoid a training violation? 15 20 25 30 45

Answers

Multiply the number of total employees by 85%:

142 x 0.85 = 120.7, round to 121

121 total people need to complete the training.

Now subtract the number of people who already took the training:

121 - 91 = 20

20 more people need to take it.

How many solutions does the nonlinear system of equations graphed bellow have?

Answers

Answer:

Option A) 1

Step-by-step explanation:

we know that

The solution of the nonlinear system of equations is the intersection point both graphs

In this problem the intersection point is (-2,-1)

therefore

The system of equations has only one solution

In this triangle, what is the value of X?

Enter your answer, rounded to the nearest tenth, in the box.

X=

PLEASEEE HELP 12p!!! BRAINLIEST IF CORRECT!!

Answers

Answer:

The measure of angle x is [tex]26.1\°[/tex]

Step-by-step explanation:

we know that

In the right triangle of the figure, the tangent of angle x is equal to divide the opposite side to angle x by the adjacent side to angle x

so

[tex]tan(x)=\frac{26}{53}[/tex]

[tex]x=arctan(\frac{26}{53})=26.1\°[/tex]

Find the measure of angle ABC.


A. 124

B. 97

C. 56

D. 51

Answers

Answer D. 51

Step-by-step explanation:

Sum of the interior angles of a triangle is up to 180

.: 32+(2x-15) + (x-5) = 180

Group like terms

2x+x =180 - 32 + 15 + 5

When - and + sign cross equal sign it turns to the opposite

3x = 168

x= 168/3

.: X =56

Now put x = 56 in (x - 5)

Angle ABC = 51

180-32+15+5 = 3x

168/3 = x

X= 56 and now substitute 56 for x and u get ur angles 51 and 97

Triangle ABC is translated using the rule (x, y) ? (x + 1, y ? 4) to create triangle A?B?C?. If a line segment is drawn from point A to point A? and from point B to point B?, which statement would best describe the line segments drawn?

Answers

Answer:

The line segments AA' and BB' are parallel and congruent

Step-by-step explanation:

we know that

When the transformation is a translation, the figure does not change its shape or dimensions,

so

AA'=BB'=CC'

therefore

The line segments AA' and BB' are parallel and congruent

Translation involves moving a function away from its original position.

The statement that describes the line segments is:

Both lines would be parallel and congruent

The translation is given as:

[tex]\mathbf{(x,y) \to (x + 1, y - 4)}[/tex]

Translation is a rigid transformation.

This means that, the image and the pre-image would have the same measure.

So, when a line is drawn from A to A' and B to B'

The lines would be parallelThe lines would be congruent

Assume the coordinates of A and B are:

[tex]\mathbf{A = (2,3) }[/tex]

[tex]\mathbf{B = (-4,6) }[/tex]

Apply transformation

[tex]\mathbf{A' = (2 + 1, 3 - 4) = (3,-1)}[/tex]

[tex]\mathbf{'B = (-4 + 1, 6 - 4) = (-3,2)}[/tex]

The distance of lines AA' and BB' is calculated using:

[tex]\mathbf{d = \sqrt{(x_2 -x_2)^2 + (y_2 - y_1)^2 }}[/tex]

So, we have:

[tex]\mathbf{AA' = \sqrt{(2 -3)^2 + (3 - -1)^2 = \sqrt{17}}}[/tex]

[tex]\mathbf{BB' = \sqrt{(-4 --3)^2 + (6 -2)^2 = \sqrt{17}}}[/tex]

Notice that:

[tex]\mathbf{BB' = AA' = \sqrt{17}}}[/tex]

Because translation is a rigid transformation, then lines AA' and BB' would also be congruent

Read more about translations at:

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please help asap will mark brainlest

Answers

Answer: -79, 21, 46, 80

Step-by-step explanation:

-79, 21, 46, 80

79 is a negative number making it the smallest. After -79 just order the numbers in the consecutive order of how you count.

Hope this helped!

~Just a girl in love with Shawn Mendes

How to find the legs of a right triangle with only the hypotenuse?

Answers

Let x = legs of right triangle.

The set up would be:

x^2 + x^2 = (hypotenuse)^2

Understand?

To find the legs of a right triangle with only the hypotenuse known, the Pythagorean theorem is used. Without extra information like an angle or one leg length, it's impossible to find the specific leg lengths due to the infinite possibilities of right triangle configurations with the same hypotenuse length.

The question involves finding the lengths of the legs of a right triangle when only the length of the hypotenuse is known. Utilizing the Pythagorean theorem, which states that in a right triangle the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b), expressed as a² + b² = c². To find the lengths of the legs (a and b) given the hypotenuse (c), one needs additional information such as the angle of the triangle or the length of one of the legs.

Without such information, it is not possible to determine the specific lengths of the legs because there are infinitely many right triangles with different sets of leg lengths that could have the same hypotenuse length. Therefore, to address this problem, one might use trigonometry if any angle is known, or apply other relevant context or given data.

Need help with a math question PLEASE HELP

Answers

Answer:

57%

Step-by-step explanation:

From the table you can state that:

the total number of students is 10,730the number of students receiving Finincial Aid is 6,101

Use the definition of the probability

[tex]Pr=\dfrac{\text{The number of favorable outcomes}}{\text{The number of all possible outcomes}}[/tex]

So,

the number of favorable outcomes = 6,101the number of all possible outcomes = 10,730

Hence, the probability is

[tex]Pr=\dfrac{6,101}{10,730}\approx 0.5685\approx 57\%[/tex]

I DONT WANT TO FAIL!!!! PLEASE HELP ME WITH THE CORRECT ANSWER, WILL MARK AS BRAINLIEST!!!


What is the solution to the system of linear equations? {4x+3y=543x+9y=108 Enter your answer in the boxes.

Answers

Answer:

x = -24

y = 66

Step-by-step explanation:

12x+9y = 102

12x+16y = 432

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

y = 66

4x + (66*3) = 102

198-102 = -96

-96 / 4 = -24

Answer:

solution is [tex](6,10)[/tex]

Step-by-step explanation:

[tex]4x+3y=54[/tex]

[tex]3x+9y=108[/tex]

WE use elimination method to solve for x and y

Multiply the first equation by [tex]-3[/tex]

[tex]-12x-9y=-162[/tex]

[tex]3x+9y=108[/tex]

Now add both the equations, we will get

[tex]-9x=-54[/tex]

Divide by   [tex]-9[/tex] on both sides

[tex]x=6[/tex]

Now we plug in the x value in first equaiton and find out y

[tex]4x+3y=54[/tex]

[tex]4(6)+3y=54[/tex]

[tex]24+3y=54[/tex], subtract 24 on both sides

[tex]3y=30[/tex]

Divide both sides by 3

[tex]y=10[/tex]

So solution is [tex](6,10)[/tex]

Which of the following equations is of the parabola whose vertex is at (2, 3), axis of symmetry parallel to the y-axis and p = 4?
A.)y-3 = 1/16 (x-2)^2
B.)y+3 = -1/16 (x+2)^2
C.)x-2 = 1/16 (y-3)^2

Answers

Answer:

option A.) y-3 = 1/16 (x-2)^2

Step-by-step explanation:

we know that

If the axis of symmetry is parallel to the y-axis, then we have a vertical parabola

The equation of a vertical parabola is equal to

[tex]4p(y-k)=(x-h)^{2}[/tex]

where

(h,k) is the vertex

In this problem we have

(h,k)=(2,3)

p=4

substitute

[tex]4(4)(y-3)=4(4)(x-2)^{2}[/tex]

[tex]16(y-3)=(x-2)^{2}[/tex]

[tex](y-3)=(1/16)(x-2)^{2}[/tex]

Answer:

option A.) y-3 = 1/16 (x-2)^2

Step-by-step explanation:

PLEASE HELP ASAP I WILL MARK BRAINLIEST!! If measures 65°, what is the measure of WZ?

Answers

Answer:

180-65=115

Step-by-step explanation:

Straight line always measures 180 degrees, take 180 and subtract 65 thats your answer.

Answer:

115 dude

Step-by-step explanation:

you just substract 65 with 180 and then you get 115

In the triangles, and .



Which statement correctly compares and ?

and are the same length.
is longer than .
is shorter than .
is shorter than or the same length as .

Answers

Longer than the triangles , but shorter triangles, are bigger than eachother but same same and no different shape .

Answer:

answer is B just got 100%

Step-by-step explanation:

Can mutually exclusive events have an intersection of events? Explain your answer

Answers

Answer:

no

Step-by-step explanation:

exclusive pertains to one, hence the phrase, exclusive.

Mutually exclusive events or disjoint events are two events that don’t have anything in common. Nothing in common means NO INTERSECTION.

Answer: No!

A pizza restaurant charges for each pizza and adds a delivery fee. The cost (c), in dollars, to have any number of pizzas (p) delivered to a home is described by the equation c = 11p + 5.

Each pizza costs $5 and the delivery fee is $11

The cost of 11 pizzas is $16

Each pizza costs $11 and the delivery fee is $5

The cost of 5 pizzas is $11

Answers

Answer:

  Each pizza costs $11 and the delivery fee is $5

Step-by-step explanation:

We assume you want an interpretation of the equation.

The total cost of an order is the sum of any fixed cost (such as a delivery fee) and the variable cost.

Here, the variable cost is the cost of some number of pizzas. It is proportional to the number of pizzas. In the equation, it is represented by 11p, where p is the number of pizzas. The cost of each pizza must be $11, since the cost of p pizzas is 11p.

The equation's two parts are a fixed cost of $5 and a variable cost of $11 per pizza. The best description is ...

  Each pizza costs $11 and the delivery fee is $5

Final answer:

The cost (c) to have any number of pizzas (p) delivered is calculated using the equation c = 11p + 5. This implies that each pizza costs $11 and the delivery fee is $5.

Explanation:

The question involves the concept of linear equations in mathematics. In this particular case, the equation is c = 11p + 5. This equation denotes the cost (c) of pizzas delivered where each pizza prices ($11 each) is multiplied by the number of pizzas (p) and then added to the delivery fee ($5). Therefore, the third option, 'Each pizza costs $11 and the delivery fee is $5' is the correct interpretation of the equation.

To find out the cost of any number of pizzas, you would substitute that number in for 'p' in the equation. For instance, the cost of 5 pizzas would be calculated as 5 * $11 + $5 = $60.


Learn more about Linear equations here:

https://brainly.com/question/32634451

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Please help me with this last part. The other parts are fine.

Answers

The correct answer is 14.3

These percentiles on small data sets are confusing.  We have 8 data points.  So the median is the average of the 4th and 5th.

The upper quartile, 75th percentile, is between the 6th and 7th data point of the 8.  I calculated its index as (8-1)*.75=6.25.   One definition of upper quartile has us just pick the next one up, 36 here.  Another definition has us interpolate.  Since 6.25 = (3/4) 6 + (1/4) 7 we take (3/4) 33 + (1/4) 36 = 33.75 as a 75th percentile.  It's hard for me to choose without knowing what you were taught.

If it takes Tom 15 minutes to eat a burger and then 5 minutes to eat a portion of fries, how many burgers and portions of fries would he be able to eat in one hour?

Answers

Tom could eat 4 burgers and 12 portions of fries.

Answer:

3

Step-by-step explanation:

15 minutes for one burger and another 5 for one portion of fries. If he has to eat a portion of fries after each burger that's 20 minutes. An hour is only 60 minutes allowing only enough time to eat 3 burgers and portions of fries. Simply because 60 divided by 20 is 3.


7. The number +10 can be used to indicate a

A. 10-degree rise in temperature.
B. decrease in salary of $10.
C. withdrawal of $10.
D. loss of 10 pounds.

Answers

Hello There!

The number +10 can be used to indicate a 10-degree rise in temperature.

This is because this is an increase. All of the other options are a decrease meaning that there going down from where they were originally.

A. 10-degree rise in temperature.

The results of a common standardized test used in psychology research is designed so that the population mean is 135 and the standard deviation is 30. A subject earns a score of 198. What is the z-score for this raw score?

z-score=

Answers

Answer:

2.1

Step-by-step explanation:

Mean+z score(Standard deviation)=raw score

Let the z score be z

135+z(30)=198

30z=63

z=2.1

Final answer:

The z-score is a measure of how many standard deviations a score is from the mean. In this case, where the test was designed with a mean of 135 and a standard deviation of 30, a score of 198 results in a z-score of 2.1.

Explanation:

The z-score represents how many standard deviations an element is from the population mean. In this particular case, the results of a standardized test designed with a population mean of 135 and a standard deviation of 30 are given. A subject has a test score of 198.

To calculate the z-score, you use the formula: z = (X - μ) / σ. Where X is the score, μ is the mean, and σ is the standard deviation.

Substitute the given values into the formula:

z = (198 - 135) / 30

z = 2.1

So a test score of 198 would yield a z-score of 2.1.

Learn more about Z-Score here:

https://brainly.com/question/33620239

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please Simplify 3^2x3^3

Answers

Answer:

[tex]243[/tex]

Step-by-step explanation:

[tex]3^2*3^3 = 9 * 27[/tex]

[tex]9 * 27 = 243[/tex]

Answer:

243

Step-by-step explanation:

[tex]3^2*3^3[/tex]

To solve your equation, employ the use of PEMDAS.

According to PEMDAS, exponents come before multiplication, so we can simply the 3 squared and the 3 cubed first.

3 squared is the same as 3 x 3, which is 9.

3 cubed is the same as 3 x 3 x 3, which is 27.

Thus, our new equation is

[tex]9*27[/tex]

Simply do the multiplication and you have your simplified answer.

[tex]9*27=243[/tex]

Write your answer without using negative exponents.
(w^5)^-7

Answers

Answer:

1/(w^35)

Step-by-step explanation:

According to the rules of exponents, you need to multiply both -7 and 5 such that you get...

w^(-35)

Since you cannot have a negative exponent according to the question, you simplify by...

w^-x means that you do 1/(w^-x)

1/(w^35)

Please mark for Brainliest!! :D Thanks!!

For more questions or more information, please comment below!

In a recent year,there were approximately 45 million moviegoers in a certain country, of these about 4/5 were ages 24-34. Find the approximate number of people ages 24-34 who attended the movies in that year.

Answers

Answer:

  36 million

Step-by-step explanation:

  (4/5)×(45 million) = (4/5×45) million = 36 million

Approximately 36 million people aged 24 to 34 attended movies that year.

Answer: 36 million.

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the total number of moviegoers (45 million) 4/5 (moviegoers between ages 24-34 )

Mathematically speaking:

45m x 4/5 =45 x 4/5= 36 million

it can also be solved like this:

45,000,000 x 4/5 = 36,000,000

The approximate number of people ages 24-34 who attended the movies in that year were 36 million.

To the nearest tenth the value of x that satisfies 2x = −2x + 11 is

Answers

Answer:

2.8 (from 2.75 because of rounding)

Step-by-step explanation:

2x = -2x + 11

Add 2x on both sides

4x = 11

Divide 4 on both sides

x = 11/4

x = 2.75

Round to nearest tenth

x is about 2.8

Please mark me for brainliest :D !! Thanks!

Answer:

x = 2.8

Step-by-step explanation:

2x = - 2x + 11                       Add 2x to both sides.

2x+2x = -2x+2x + 11           Combine

4x = 11                                 Divide by 4

4x/4 = 11/4

x = 2 3/4

x = 2.75

Rounded to the 10th place, you would get 2.8

Jace has consumed 1,500 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 1,900 calories per day. How many calories does he have left to consume for the day? Is 1,100 a viable solution to this problem?
===================================
Yes; 1,100 is less than 1,500.
No; 1,100 is more than the 400 he burned off at the gym.
No; 1,100 will cause him to exceed 1,900.
Yes; 1,100 is less than 1,900

Answers

Answer:

No, it will cause him to exceed 1900.

Step-by-step explanation:

1,500 - 400 = 1,100 (his total after the gym)

1,100 + 1,100 exceeds 1,900. He wants to keep his total below 1,900, so this is not a viable solution.

Answer:

No; 1,100 will cause him to exceed 1,900.

Step-by-step explanation:

The rationale for this problem is basic.

Jace established a diet restricted to 1900kcal.

If he started 1500kcal and burned 400kcal in the gym, Jane's partial jump is 1100 calories.

Thus, it can still eat the total of 1900-100 = 800kcal.

Any value over 800kcal will exceed the tax threshold and will disrupt Jane's results.

Which is an example of SRS (simple random sample)? a. Putting all the names of the 50 elementary students sitting in the auditorium into a large fishbowl and pulling out only 10 names b. Calling households at random with the area code 312; after completing the survey with the homeowner, surveying others living in the same home c. Stopping every thirteenth person who leaves the local hardware store with a bag, showing they purchased an item d. Listing in alphabetical order the 100 players in the league, then beginning at the top of the list and calling players until you have spoken to 10 players

Answers

Answer:

a. Putting all the names of the 50 elementary students sitting in the auditorium into a large fishbowl and pulling out only 10 names

Step-by-step explanation:

When one does simple random sampling picture it like a lottery. (This is actually a good example) It is a type of smapling that is done where a smaller portion of the whole population is chosen to participate in the research. It is called random because everyone in the population has an equal chance to be selected. Although the other examples are random sampling as well, they are more systematic than simple.

Answer:

A

Step-by-step explanation:

The peroson above is correct

Solve for x. -3 + 8x - 5 = -8 A. -2 B. -1 C. - 3 4 D. 0

Answers

Answer:

D

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

-3+5

-8+8x=-8

divide both sides by 8

x=0

Based on the model ​N(1154​,81​) describing steer​ weights, what are the cutoff values for


​a) the highest​ 10% of the​ weights?


​b) the lowest​ 20% of the​ weights?


​c) the middle​ 40% of the​ weights?

Answers

Can’t see the model.......................

What is the surface area of the regular pyramid below

Answers

Answer:

C. 864 units²

Step-by-step explanation:

We have the square in the base and four triangles on the lateral surface.

The formula of an area of a square:

[tex]A_{\square}=a^2[/tex]

a - side lenght

We have a = 16. Substitute:

[tex]A_{\square}=16^2=256[/tex]

The formula of an area of a triangle:

[tex]A_{\triangle}=\dfrac{bh}{2}[/tex]

b - base

h - height

We have b = 16 and h = 19. Substitute:

[tex]A_{\triangle}=\dfrac{(16)(19)}{2}=152[/tex]

The Surface Area:

[tex]S.A.=A_{\square}+4_{\triangle}[/tex]

Substitute:

[tex]S.A.=256+4(152)=256+608=864[/tex]

Answer: it C. 864 units²

Step-by-step explanation: I just did it

Need help with a math question

Answers

Answer:

0.000032,0.00000.64

Step-by-step explanation:

For this case, it can be observed that the sequence is performed by multiplying each term by 0.2:

We have to:

[tex]0.1 * 0.2 = 0.02\\0.02 * 0.2 = 0.004\\0.004 * 0.2 = 0.0008\\0.0008 * 0.2 = 0.00016\\0.00016 * 0.2 = 0.000032\\0.000032 * 0.2 = 0.0000064[/tex]

Answer:

The next terms are:

[tex]0.000032\\0.0000064[/tex]

To solve this system of equations by elimination, what operation could be used to eliminate the y-variable and find the value of x? 2x ? 4y = 6 ?3x + 3y = 9 A) add 3 times the second equation to 4 times the first equation B) add 4 times the second equation to 3 times the first equation C) subtract 3 times the second equation from 4 times the first equation D) subtract 4 times the second equation from 3 times the first equation

Answers

Step-by-step explanation:

4y=6 (first equation)

3x+3y=9(second equation)

we know if a=a, a+x=a+x,ax=ax

now we add 3 times

4y=6(=)12y=18

now add 4 times

12x+12y=36

now we can eliminate the y and will be

12x=18

x=1,5

2x=3

Which set of boxes containing tiles with the letters A, B, C, and D meet the following conditions?

In Box 1, P(A) > P(B)

In Box 2, P(B) + P(C) + P(D) = 1

In Box 3, P(D) = 2P(C)

Answers

Answer:

  your choice is correct

Step-by-step explanation:

In your selected set of boxes, ...

Box 1 has p(A) = 2/6 > p(B) = 1/6

Box 2 contains only B, C, and D.

Box 3 has P(D) = 4/6 = 2*P(C) = 2*2/6

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