Identify the interval(s) on which the function y = x^2 + 12x + 27 is positive.
A. -9
B. X<-9 and x > 3

C. x<3 and x > 9

D. X<-9 and x >-3

Answers

Answer 1

Answer:

Step-by-step explanation:

b x 1

Answer 2

The interval of the function y = x² + 12x + 27 positive will be (-∞, -9) and (-3, ∞). Then the correct option is D.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

y = x² + 12x + 27

The roots of the function are given as,

y = 0

x² + 12x + 27 = 0

x² + 9x + 3x + 27 = 0

x(x + 9) + 3(x + 9) = 0

(x + 3)(x + 9) = 0

x = -3, -9

The interval of the function y = x² + 12x + 27 positive will be (-∞, -9) and (-3, ∞). Then the correct option is D.

More about the function link is given below.

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Related Questions

yalll this is my cry for help I hate math please help mee ​

Answers

Answer:

195 yards

Step-by-step explanation:

I found three shapes in this irregular shape. the top rectangle is 8x13 which is 104 the middle rectangle is 7x9 which is 63 an the triangle at the bottom is 8x7 which is 56 but then you divide by 2 so it's 28 then you add that all and get 195.

Look I begging you please help me out today last day finish this and I’m in class. (Will mark brainlest) and a Lil extra ;)

Answers

Answer:

Range: 5

mode: 19

median: 19

Step-by-step explanation:

Answer:

4) 22-17=5

5) 19

6) 19

7) 11-1=10

8) 6

Micheal is making lemonade, He is serving 10 people. for 1 cup it takes two lemon and 3 cups of sugar.How many would it take to make 10 cups of lemonade

Answers

Answer:

look down

Step-by-step explanation:

multiply the number of lemons and sugar needed for 1 cup of lemonade by 10

so he would need 20 lemons and 30 cups of sugar.

Find the original price of an item that is on sale for $42 if it is discounted by 20%

Answers

Answer:

$52.50

Step-by-step explanation:

Item on sale: 42

Discount: 20%

1-.2=.8

Item on Sale=Original*.8

42=Original*.8

42/.8=

$52.50

Maria cut a 9 foot board into two pieces. The long piece is twice as long as the short one. How long is each piece?

Answers

Answer:

The short piece is 3 feet long.

The long piece is 6 feet long.

Pls help, only 1 question

Answers

Answer:

18/x=27/24 ( according to b.p.t)

27x=24x18

x=432/27

x=CE=16

At Ivanna's auto shop, it takes her 15 minutes to do an oil change and 24 minutes to do a tire change. Let x be the number of oil changes she does. Let y be the
number of tire changes she does.
Using the values and variables given, write an inequality describing how many oil changes and tire changes Ivanna can do in at most 2 hours (120minutes)

Plzzz help

Answers

Answer:

15x + 24y <= 120

Step-by-step explanation:

It takes 15 minutes per oil change, 15x

It takes 24 minutes per tire change, 24y

In at most 120 minutes, so it must be less than or equal to the time available.

The ratio of the number of boys to the number of girls in orchestra is 3 to 2. There are 40 girls in the orchestra. How many boys are in the orchestra? HEP FAST PLS IM GIVING BRAINLIEST!!

Answers

Answer:

60

Step-by-step explanation:

hi please help!!!!!!!!

Answers

Answer:

All real numbers

Step-by-step explanation:

The parabola is expanding infinitely in both the negative and positive directions. So the x value will be all real numbers.

Find the lateral surface area of the net below.
-26cm
-20cm
zlom
20cm
Record your answer, be sure to use the correct place value.

Answers

9514 1404 393

Answer:

  1040 cm²

Step-by-step explanation:

The lateral surface area of the pyramid is the area of the four triangular faces. Each one has an area of ...

  A = 1/2bh

  A = 1/2(20 cm)(26 cm) = 260 cm²

Then the area of the four faces is ...

  4 × 260 cm² = 1040 cm² . . . . lateral surface area

Which equation is a linear function?


Help please

Answers

I believe the answer is y=x
Hope this helps

Please please like my comment

Estimate the area of the rectangle.
A)8
B)10
C)14
D)20

Answers

Answer:

A or B, I think it's A...

Which type of graphs show individual data?

bar graph
line graph
line plot
stem-and-leaf plot
will mark brainlest i promise!!!!

Answers

Answer:

Bar graphs Line graphs

Step-by-step explanation: hope it helps

Why is √3 an irrational number?
A.The number is a rational number.
B.The number is represented by a non-terminating, non-repeating decimal.
C.The number is a positive whole number.
D.The number can be expressed as a proper fraction.

Answers

Answer:

Step-by-step explanation:

B. The number is represented by a non terminating, non-repeating decimal.

(Strictly speaking it is irrational because it cannot be expressed as a ratio of two integers. All rational numbers can be expressed as a ratio of two integers.)

plsssssss help me on this question I WILL GIVE BRAINLIEST IF CORRECT!!!

Answers

Answer:

its the first one i think

Step-by-step explanation:

if u look he gained the title dictator for life so some ppl thought he gained too much power

Answer:

first one

Step-by-step explanation:

Caesar gained to much power too quickly

someone please help me​

Answers

Answer:

40

Step-by-step explanation:

Quadrilateral QRSU forms a euclidean kite this means PR would be 2(mST)

Which equation is correct? o 39 x 3 = 30 x 3 + 9x 3
o 39 x 3 = 30 +9x3
o 39 x 3 = 300 × 3+9×3
39×3=30×3+9​

Answers

39x3=30x3+9x3

117=90+27

117=117

39x3=30+9x3

117=30+27

117=57

39x3=300x3+9x3

117=900+27

117=927

39x3=30x3+9

117=90+9

117=99

So the first one is correct.

---

hope it helps

Tori sold 450 soft pretzels. If she sold them in groups of 15 soft pretzels, how many groups did she sell?. (Whole number only).​

Answers

Answer:

30

Step-by-step explanation:

450/15

Answer:

30 Groups

Step-by-step explanation:

She would sell 30 groups of pretzels because 450 divided by 15 equals 30.

which property does the equation demonstrate? 7(6*4) = 42 + 28
Choices:
A= associative
B= commutative
C= distributive
D= identity

Answers

Answer: C

Step-by-step explanation:

7*6=42 7*4=28

What is 900 divided by 3, and why?

Answers

Answer:

300

Explanation:

look at the file below

300 is the quotient or the result of dividing 900 by 3.

The result of dividing 900 by 3 is 300.

To understand why, we perform the division operation:

= 900 ÷ 3

= 900 /3

= (3 x 3 x 2 x 2 x 5 x 5) / 3

= 3 x 2 x 2 x 5 x 5

= 3 x 4 x 25

= 12 x 25

= 300

When we divide 900 by 3, we are essentially splitting 900 into three equal parts. Each part is 300.

Therefore, 300 is the quotient or the result of dividing 900 by 3.

Learn more about Division here:

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I need help please...

Answers

Answer:

D. 137 [tex]m^{2}[/tex]

Step-by-step explanation:

First, get the area of the rectangle:

[tex]A_{Rectangle} =length *width[/tex]

[tex]A_{Rectangle}=(15)(11)=165[/tex]

Then, get the area of the triangle:

[tex]A_{Triangle} =\frac{height*base}{2}[/tex]

[tex]A_{Triangle}=\frac{8*7}{2} =28[/tex]

Now substract the area of the triangle from the rectangle:

165 - 28 = 137

∴ 137 [tex]m^{2}[/tex]

Jennifer buys four tubs of coleslaw. She serves two-fifths of each tub onto one plate.
How many plates can she serve before she runs out of coleslaw?

Answers

She can serve 10 plates.

Use properties of operations to find the quotient.

Answers

option D is correct one 2 3/16

-1 1/4 ÷ 4/7

-5/4 ÷ 4/7

-5/4 × 7/4 (reciprocal)

35/16= 2 3/16

d is the correct answer

A map scale is 1 cm =500 km the scale ratio is 1 to ____

Answers

1 cm — 500 km

1 cm — 500 000 m

1 cm — 50 000 000 cm

the scale — 1 to 50 000 000

Plug in the point to determine if it is on the circle
(x – 3)² + y2 = 4
(5,0)

Answers

Answer:

yes

Step-by-step explanation:

(5_3)^2+2(0)=4

substitute with the 5 to x and 0 to y

How many 1/5s are in 4?

Answers

Answer:

20

Step-by-step explanation:

4÷1/5=20

5+5+5+5=20

If Ray earns $120 for 15 hours of work, how much will he earn for 20 hours of work at the same rate?
O $160
O $170
O $240
O $300

Answers

the answer would be either 300 or 170

Answer:

It 160

Step-by-step explanation:

.
Determine the area of the composite shape.

Answers

Answer:

132 ft²

Step-by-step explanation:

Rectangle area = 8(12) = 96

Triangle area = 1/2(8)(21-12) = 4(9) = 36

Area total = 96 + 36 = 132

On the coordinate plane, what quadrant is the point (1 , 4) located in?

Answers

Answer:

on the second one

Step-by-step explanation:

the answer is in quadrant I

quadrant I = x,y
quadrant II = -x,y
quadrant III = -x,-y
quadrant IV = x,-y

_____ square feet what is the answer?

Answers

8 square feet I think

Answer:

4

Step-by-step explanation:

to solve the area of a triangle is the base times height divided by 2. 2*4/2=4

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