**Answer:**

3.

a=-1

a=-2

5.

n=-6

n=-3

8.

n=-5

n=-3

**Step-by-step explanation:**

3. separate into probable cases

[tex]a + 2 = 0\\ a + 1 = 0[/tex]

5.

[tex] {n}^{2} + 6n - 3n - 18 = 0 \\ [/tex]

factor out n from the expression

factor out -3 from the expression

[tex]n \times (n + 6) - 3(n + 6) = 0[/tex]

factor out n+6 from the equation

[tex](n + 6) \times (n - 3) = 0[/tex]

separate into probable cases

[tex]n + 6 = 0\\ n - 3 = 0[/tex]

solve the equations

[tex]n = - 6 \\ n = 3[/tex]

8.

[tex]n ^{2} + 5n + 3n + 15 = 0[/tex]

factor out n and 3 from the expression

[tex]n \times (n + 5) + 3(n + 5) = 0[/tex]

factor out n+5

[tex](n + 5) \times (n + 3) = 0[/tex]

separate into probable cases

[tex]n + 5 = 0 \\ n + 3 = 0[/tex]

solve the equations

[tex]n = - 3 \\ n = - 3[/tex]

Is this right? Answer quick please

**integral of 3x^2 is (9/3)x^3 + c**

**I can't see option d but none of the others look correct.**

214 out of 450 students went to a concert, what percent did not go?

Answer:

.75% .0075 of the people that went to the concert said they would go if they could not see the band again. To find this you simply divide 9 by 1200, which equals .0075

Step-by-step explanation:

**Answer:**

% 236 did not go

% Decimal 2.36

**Step-by-step explanation:**

% 450 - 214

You may not know this, but you are home to a colony of bacteria. You may also not know it, but the health and happiness of that colony of bacteria have a direct effect on your own health and happiness. In short, if we are what we eat, then we may need to make bacteria part of our balanced breakfast.

Microbes are single-celled organisms. They are literally everywhere. Microbes are in the air we breathe, on the surfaces of everything we touch, and inside our bodies. Microbes can be bacteria, fungi, protozoa, or viruses.

A few years ago, scientists began studying the microbial life of our stomachs. Called The American Gut project, this study aims to understand the life of the bacteria that live in our digestive system. According to an article in the New York Times by Michael Pollan, the goal is to gather information on the types and amounts of bacteria in the human gut. Scientists want to describe what a normal healthy microbe and human relationship should look like inside our digestive system. While the research is still in the very early stages, scientists have learned the following:

The strongest and healthiest microbe systems are those with a lot of variety.

The guts of Americans have much less variety than the guts of other populations.

Diets that include a lot of processed foods support less variation in bacteria.

Studying the makeup of our individual bacteria communities will help scientists get a better idea of which bacteria help human bodies. We used to think that bacteria in our bodies were invaders. This new research suggests that bacteria are part of the protective army that keeps us healthy. In fact, our bodies have a hard time recovering from medicines like antibiotics because they disrupt the balance of helpful bacteria. It seems clear from the early evidence that living with bacteria helps us resist invasion from things that make us sick.

Scientists have also learned that microbes might help our guts do things like process vitamins and important nutrients. Some microbes may help us deal with stress, or adapt to changes. Furthermore, there may come a time—in your lifetime—when illness is treated not with antibiotics, but with extra-special microbes that help us defend our bodies from illness.

Based on "A Brief Study of Guts," which best summarizes the goal of new research into bacteria and microbes?

A. To collect a wide variety of microbes in all mammals including humans

B. To find ways to increase our intake of helpful microbes

C. To find evidence to decrease the use of antibacterial soap

D. To understand how microbes populate the human body and what benefit they provide

**Answer:**

The Right answer is To understand how microbes populate the human body and what benefit they provide.

**Step-by-step explanation:**

**Answer:**

D.

**Step-by-step explanation:**

They are telling you, hey! They are helpful!

1/2 e = 1/4 help I don't know what this means

e is 1/2, because 1/2 of 1/2 is 1/4

Human capital deepening refers to increases in a country’s population, including both births and immigration.

True

False

**Answer:**

Based on what I researched that would be False.

**Step-by-step explanation:**

Human capital deepening is the increase of capital workers, it also includes skills or higher education.

A rectangular park is 56 mi wide and 157 mi long.

What is the area of the park as a mixed number simplest form?

**Answer:**

8792mi^2

**Step-by-step explanation:**

basic area calculations width times length

5X=(X+1)×4

send some help

**Answer:**

x = 4

**Step-by-step explanation:**

So you multiply all in the ( x + 1) by 4 so 4 times x equals 4x and 4 times 1 is 4

5x = 4x + 4 subtract 3x because that is the only common thing on the other side you'll get

x = 4 and that's your answer

Which equation has no solution?

D is the one that has no solution

Does the table represent an exponential function? Explain why or why not.

(3,-10 ), (4,-7 ), (5,-4), (6,-1), (7,2),(8,5)

**Answer:**

No, it does not.

**Step-by-step explanation:**

It's a linear function, with a slope of -3 (down 3 for every new X as you move right)

No, it does not........

25 + 12x (24 + 3) - 15 21.3

Use this. It’s really good

**Answer:**

324x-1496.3

**Step-by-step explanation:**

Plsssss help will mark brainliest

**Answer:**

24

**Step-by-step explanation: 12 divided by 1/2 is 24**

**Answer:**

24 pls GIVE ME BRAINLIEST not trynna be demanding but iv never had one before

**Step-by-step explanation:**

Simplity to create an equivalent expression. 6(7 – 3y) + 6(y +1)

**Answer:**

48-12y

**Step-by-step explanation:**

So first you have to distribute

it would be...

42-18y+6y+6

then you put it together

48-12y

What is circle definition

a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the centre).

Dan buys a car for £3200.

It depreciates at a rate of 5.1% per year.

How much will it be worth in 4 years?

Give your answer to the nearest penny where appropriate.

**Answer:**

£2509

**Step-by-step explanation:**

3200x0.941*4 =2509

solve the following: 8x(x-5)-25=5x(x-6)

**Answer:**

**Step-by-step explanation:**

Answer:

x = -5/3; x = 5

Step-by-step explanation:

8x(x - 5) - 25 = 5x(x - 6); Given

8x^2 -40x - 25 = 5x^2 - 30x; Multiply/Simplify

3x^2 - 10x - 25 = 0; Addition Property of Equality

(3x + 5)(x - 5) = 0; Factor

x = -5/3; x = 5; Solve

What is the distance, in units, between point A(5. - 8) and point B(-2, 4) on the coordinate plane?

PLSSS ANSWER ASAP

**Answer:**

13.892444

**Step-by-step explanation:**

The height difference: 12

The length difference: 7

12^2+7^2=c^2

193=c^2

13.892444=c

**Answer:**

[tex]\sqrt{193}[/tex]

**step explanation:**

Find two positive numbers such that their product is 180 and the sum of the first number squared plus twice times the second is a minimum.

**Answer:**

3 and 60

**Step-by-step explanation:**

3 × 60 = 180

180 = 180

3² + 2(60)

= 9 + 120

= 129 minimum

1 /3 + 1 /9 / (7/10 * 5 / 4 )

**Answer:**

**0.46**

**Hope it helps..**

**have a great day : )**

Which equation has no real solutions?

) −2x2=−168

) 4x2+ 76 = 32

) 25x2= 1

) 43 −x2= 12

**Answer:**

**Step-by-step explanation:**

4x² + 76 = 32

4x² = -44

x² = -11

but x² must be non-negative, so there is no real solution.

Consider each statement about finding the measurements of triangles. Choose True or False for each statement.

A. If you know the measures of the three angles of a triangle, you can find the lengths of the sides.

True or False

B. If you know the lengths of the three sides of a triangle, you can find the measures of the angles.

True or False

C. If you know the measures of the two sides of a triangle and the measure of an angle not included between the two sides, you can solve the triangle. True or False

**Answer:**

c

**Step-by-step explanation:**

**Measurement **of **triangle**

The **measure **of the triangle is the** sum of 3** interior angles of the **triangle**. This is always **180 degrees**, as a triangle has 3 sides and 3 angles.

The **measure **of the **three sides** of the **triangle **can help in **finding **out the **angles **and similarly the three angles can help to find the length. If we consider two sides and then **measure the angle **then the triangle can't be solved.

Find out more information about the** measurements of triangles**.

brainly.com/question/9909700

SP=3x+1, and LN=10x−6. Find SP.

**Answer:**

ax+dx=c+e

**Step-by-step explanation:**

**Answer:**

SP=7

**Step-by-step explanation:**

As we know that

1/2 LN=SP

10x-6=2(3x+1)

10x-6=6x+2

4x=8

x=2

SP=3*2+1=7

The answer is 7.

down the additive inverse of 4 by 7

**Answer:**

[tex] \color{magenta} \huge{ \boxed{answer}}[/tex]

The additive inverse of 4/7 is -4/7.hopefully help:)

**Step-by-step explanation:**

Class A had 33 students and class B had 21 students. A number of students were moved from class A to class B so the classes now have the same number of students. Write the equation and solve for how many students were moved.

**Answer:**

i think its 12.12 kids got moved

**Step-by-step explanation:**

**i just subtracted 33 - 21 = 12...**

PLEASE HELP!

Which figure has the smaller volume, the cone with a diameter of 7 in. and a height of 5 in. or the sphere with a diameter

of 5 in.?

A. Sphere

B. Cone

**Answer:**

(A) Sphere

**Step-by-step explanation:**

The sphere has a smaller volume.

It cost Ms. Nelson $245 to buy 5 kids tickets to Disney. How much do the tickets cost per child?

$49 per child, have a good night

**Answer:**

49$

**Step-by-step explanation:**

245/5

Find the factors of following:

(i) 8x^2yz

**Answer:**

(i) 8x^2yz=2×2×2×x×x×y×z

I need help pls answer

**Answer:**

4y²+2 = ( 4y × 4y ) + 2

**Step-by-step explanation:**

please mark me as brainliest answer.

What is the slope-intercept equation for the line below?

5

(4,3)

(0, 1)

5

O A. y=2x+1

B. y=-3x+1

O C. y=-2x+1

O D. y = 2x+1

**Answer:**

**is there a pic you could provide?**

**Step-by-step explanation:**

The** slope-intercept** equation for the line is,

⇒ y = 1/2x + 1

What is Equation of line?The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two **points **on the line are (4, 3) and (0, 1).

Now,

Since, The **equation of line** passes through the points (4, 3) and (0, 1).

So, We need to find the slope of the line.

Hence, **Slope **of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (1 - 3) / (0 - 4)

m = - 2 / - 4

m = 1/2

Thus, The equation of line with slope 1/2 is,

⇒ y - 3 = 1/2 (x - 4)

⇒ y - 3 = 1/2x -2

⇒ y = 1/2x + 1

Therefore, The** slope-intercept** equation for the line is,

⇒ y = 1/2x + 1

Learn more about the** equation of line v**isit:

https://brainly.com/question/18831322

#SPJ7

Copy machine makes 44 copies per minute. How long does it take to make 231 copies?￼

**Answer:**

5.25 minutes

**Step-by-step explanation:**

Porsche makes fresh batches of cookies to sell at the farmers market each weekend. Every week, she buys all the necessary ingredients and materials to start baking. The graph below shows the profit, P vs the batches of cookies sold, c which of the following statements is FALSE about the relationship graphed below ?? A. The profit Porsche will make increases as the batches of cookies sold increases. B. If Porsche does not sell any cookies, she will lose 250$. C. Porsche must sell at least 40 batches of cookies to break even. D. Porsche will make 150$ for every 20 batches of cookies sold at the farmers market.

500 is the answer to it

Need help with radius and diameter pls hurry points and I will give brainlest
PLEASE HELP!! I"LL GIVE BRAILIEST!!!Using the evidence you have collected from the documents, write a paragraphthat supports the topic sentence you created.My topic sentence is: Washington feared that forming permanent alliances overseas might open the country to foreign influence and unnecessary wars.Start your evidence paragraph with: To prove this Washington talks about how he.....I have attached the screenshots of the 3 documents to this question.
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find area of triangle
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ill mark brainlist plss help
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see the photo and answar.