Given the equation
[tex]y = x(x + 2) - 15[/tex]
which of the following inequalities gives all possible true values of x, given that
[tex]y < 0[/tex]

Answer choices:

a)
[tex]x > 3[/tex]
b)
[tex]0 < x < 3[/tex]
c)
[tex] - 5 \leqslant x \leqslant 3[/tex]
d)
[tex] - 5 < x < 3[/tex]

Answers

Answer 1

Answer:   [tex]\Large \boldsymbol{d) -5<x<3}[/tex]

Explanation:

[tex]\displaystyle \Large \boldsymbol {} y=x(x+2)-15 =0 \\\\x^2+2x-15<0 \\\\\left \{ {{x_1+x_2=-2} \atop {\!\!\!\!\!\!x_1x_2=-15}} \right.=> x_1=-5 \ ; \ x_2=3 \\\\\\(x+5)(x-3) <0\\\\\\signs : +++ (-5) --- (3) +++[/tex]

                                  //////////  [tex]\Large \boldsymbol{} x \in (-5 \ ; \ 3) \ \ or \ \ -5<x<3[/tex]


Related Questions

If
(x — 2)2 + (y — 3)2 (z + 4) = 0 what is the value of x + y + z? A) —4 B) 0 C) 1 D) 2

Answers

Answer:

1

Explanation:

(x-2)^2 = x equals 2 ( double roots)

(y-3)^2 = y equals 3 (double roots)

(z+4)^2 = -4 (double roots)

2 + 3 -4 =1


[tex] n - \sqrt{c + 5 = 1} [/tex]
in the equation above, C is a constant. If n= 5, what is the value of c?

Could you say how you got rid of the negative sign in front of the square root in the process plz

Answers

Answer:

c=11

Explanation:

[tex]n - \sqrt{c + 5} = 1[/tex]

[tex]5 - \sqrt{c + 5} = 1[/tex]

Add sqr root of c+5 to both sides

[tex]5 = 1 + \sqrt{c + 5} [/tex]

[tex]4 = \sqrt{c + 5} [/tex]

[tex]16 = c + 5[/tex]

[tex]c = 11[/tex]

Answer:

c is 11

Explanation:

[tex]n - \sqrt{c + 5 } = 1 \\ 5 - \sqrt{c + 5} = 1 \\ [/tex]

make -√c+5 the subject:

[tex] - \sqrt{c + 5} = 1 - 5 \\ - \sqrt{c + 5} = - 4[/tex]

divide through out by -1 :

[tex] \frac{ - \sqrt{c + 5} }{ - 1} = \frac{ - 4}{ - 1} \\ \\ \sqrt{c + 5} = 4[/tex]

square both sides;

[tex] {( \sqrt{c + 5} )}^{2} = {4}^{2} \\ c + 5 = 16 \\ c = 11[/tex]

Which of the following resources are abundant in the United States and Canada?
O mineral deposits
O water supplies
Ofertile soils
all of the above

Answers

Explanation:

mineral deposits are abundant in United States and Canada

In order to buy a house, a couple takes a mortgage of M dollars at an annuel rate of r percent to be paid off over N months

Answers

Answer: Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)

Explanation:

Identify what part of speech the underlined word in the sentence is:
Yesterday, Javier purchased a new baseball bat and quickly ran to the park to practice with it.
noun
O verb
O adjective
adverb

Answers

Answer:

Which one is the underlined word?

Explanation:

I couldn't see the underlined word. Please rewrite the question in order for me to help you. (Tip: use Ctrl+U to write an underlined word.)

3. Cora earns $13 an hour as a cashier. How much will
she earn if she works from 8:00am to 2:00pm?
Answer:
56

Answers

Answer: Answer is 78 dollars.

Explanation:

from 8:00 am to 2:00pm it would be 6 hours

so

1 hour = 13

6 hours = 13*6 = 78

What type of relationship involves people who don’t share the same status?
A. parallel
B. horizontal
C. vertical
D. Circular

Answers

The correct option is (b) Vertical relationship.

https://brainly.com/question/1047537

Name two important body functions that are controlled by the brain without you having to think about them.

Answers

using your limbs ex: arms & legs, breathing

Answer:

Step 1:  Name two important body functions that are controlled by the brain

The first one that comes to my mind is movement.  Overall movement of your arms, legs, eyes and everything else that moves.  The second one that comes to mind is thought.  Everyone that has a brain has to think something using their brain.  Hope this helps!

Are you able to handle rude people/trollers in the community? (Explain)

Answers

Answer:

However, it's often difficult to maintain your own manners when someone else is disrespectful.

While it would be nice to avoid them altogether, it's impossible in some situations. So you need to figure out a strategy of how to behave around them. There are quite a few different ways to handle these people.

Explanation:

1 stay calm

2 be direct

3 use humor

4 be polite

5 have a civilized conversation

6 don't over think the situation

Yes, just don’t be a snowflake and know that you are obviously more intelligent than them.

COMO PODEMOS IDENTIFICAR SI UNA SITUACION NOS PONE EN PELIGRO O NO

Answers

Answer:

Al pensar que si esa situación en particular tiene amenazas o no o tiene algo que pueda hacer que usted esté en algún posible peligro.

Explanation:

1. How long has Barbie been in production for?
2. What changes have been made to Barbie over the years?
3. Has Barbie developed from a gender-specific product to a gender neutral product?
4. Have new characters been introduced to appeal to either gender?  Has this been successful?
5. How does Barbie influence the construction of gender for young children in the 2020’s?

Answers

i think the answer is 7 also my butt hurts from second

Which best describes an organism’s niche?

life span
habitat
environment
role

Answers

It’s role I believe so.
D) role, a niche is the role a species plays in the ecosystem

which one of the following phases best fits the productivity equation?
A. persons from varied backgrounds working together to try to do their job well
B. refusing to become annoyed when a coworker does something that makes you look bad
C. being part of a mutually satisfying relationship with a coworker
D. satisfied employees, with good supervision, achieving or surpassing their performance goals

Answers

D. because it has not only productivity but synergy

to maintain good balance in a horizontal relationship, you must…

Answers

Answer:

A

Explanation:

Working productively and sharing responsibility is the correct choice to maintain a good balance in a horizontal relationship. Hope this helps! Thanks.

which of the following is true about office friendships?

Answers

Answer:

D. Office friendships lead to a workplace in which socializing rarely occurs.

How you spell red?
What color is a carrot?
If you dig a 6ft hole, how deep is that hole?



Answers

R-O-J-O

Purple, OG orange and pale boi

That’s a deep hole, but not deep enough for 2

The spelling of "red" is R-E-D.

The color of a carrot is typically orange

If you dig a 6ft hole, the depth of the hole would be 6 feet.

Spelling of "red":

"Red" is spelled as R-E-D, with the letters R, E, and D. It is a primary color often associated with objects or surfaces that reflect this specific wavelength of light.

Color of a carrot:

Carrots are commonly known for their orange color, which is the most common variety.

However, carrots can also come in other colors, such as purple, yellow, white, and red.

These variations are due to different pigments present in the carrots, such as beta-carotene (which gives the orange color) and anthocyanins (which provide purple and red hues).

Depth of a 6ft hole:

When you dig a hole that is 6 feet deep, it means the hole extends vertically downward from the surface to a depth of 6 feet.

It is a measurement of distance from the top of the hole to the bottom. This depth is significant when considering construction, landscaping, or other activities that involve digging or excavation.

To learn more on Measurement click:

https://brainly.com/question/13046240

#SPJ4

if you need to learn first skill what you prefer read or write​

Answers

Answer:

I think you must first read

Reading should be first because you wouldn’t be able to read what your writing

Bob works closely with Joe and he’s growing tired of Joe’s know it all attitude Bob has reached his…
A. feedback threshold.
B. irritation threshold.
C. mutual reward theory.
D. vertical relationship.

Answers

Bob works closely with Joe and he’s growing tired of Joe’s know it all attitude Bob has reached his rritation threshold.

Answer:

B

Explanation: Feedback threshold: it's a specific amount of feedback that you need and/or can accommodate before you take action in a given direction.

Irritation threshold: irritating habit or mannerism that bothers the other.

Mutual reward theory: a relationship between two people is enhanced when there is a satisfactory balance of rewards between them

Vertical Relationship: those where one of the members has greater standing, whether due to power and authority or knowledge and wisdom.

Hope this helps! Thanks.

hey 1988 + 2 = ??????​

Answers

Answer:

1988+2

=1988+1=1989

=1989+1=1990

1988+2=1990✔

Answer:

1990

Explanation:

I don't know why you couldn't do this on your own. It's simple math, but oh well. I hope this helps dude.

Adam can clean a room in 3 hours. If his sister Maria helps, they can clean it in 2 2/5 hours. How long will it take Maria to do the job alone?

Answers

Adam can clean a room in 3 hours. If his sister Maria helps, they can clean it in 225 hours. How long will it take Maria to do the job alone?
2 2 = 12 Together time, 2 2 , needs to be converted to fraction 555
Adan:3,Maria:x,Total: 5 Clearlystatetimesforeachandtotal,usingxforMaria 12
1+1= 5 Usingreciprocals,addtheindividualtimesgivestotal 3 x 12
1

1(12x) + 1(12x) = 5(12x) 3 x 12
4x+12=5x −4x −4x 12=x It takes Maria 12 hours
Multiply each term by LCD of 12x
Reduce each fraction
Move variables to one side, subtracting 4x Our solution for x



Answer is - 12 hours

What are examples of associates degrees

Answers

Associate of Arts (AA)
Associate of Arts in Teaching (AAT)
Associate of Business Administration (ABA)
Associate of Electrical Engineering Technology (AEET)

I need help with math
Please

Answers

Answer:

Got it

Explanation:

U r really cute lol. Tell me what kind of math

7
If pressure, measured in pascals, is equal to the force of
an object in newtons divided by the contact area in
square
meters, which of the following combinations of force and
area creates closest to 10,000 pascals of pressure?
A) 200,000 N and 20,000 m²
B) 20,000 N and 10,000 m²
C) 5,000 N and 5 m²
D) 2,000 N and 0.2 m²

Answers

2000N and 0.2m^2

Verification:-

Force=2000NArea=0.2m^2

[tex]\\ \sf\longmapsto Pressure=\dfrac{Force}{Area}[/tex]

[tex]\\ \sf\longmapsto Pressure=\dfrac{2000}{0.2}[/tex]

[tex]\\ \sf\longmapsto Pressure=10000Pa[/tex]

[tex] \huge\green{\overline{\underline{\rm{\purple{꧁⫷ᴀɴsᴡᴇʀ⫸꧂ }}}}} [/tex]

[tex] \large\green{\overline{\underline{\rm{\red{•••••••••••••••••••••••••}}}}} [/tex]

[tex] \sf {P = \frac{Force}{Area}} [/tex]

[tex]\sf{ P = \frac{2000}{0. 2}} [/tex]

[tex]\sf \green {{{ P = 10000Pa}}} [/tex]

[tex] \large\green{\overline{\underline{\rm{\blue{•••••••••••••••••••••••••}}}}} [/tex]

#CarryOnLearning

#LibreAngMatuto

Choose the vocabulary word that BEST completes the sentence.
The food writer ate at the restaurant on three nights to get an accurate picture of its
quality.
hoarding
subdued
mythological
successive

Answers

Answer:

Quality

Explanation:

If you substitute the other 4 words, the sentence simply does not make sense

The best answer would be quality
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