Solve each equation by factoring ⁉️NEED THESE ASAP ⁉️

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]

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

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.

Which equation has no solution?

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

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

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

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

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.

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.​

25 + 12x (24 + 3) - 15 21.3
​

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

What is circle definition

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

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

5X=(X+1)×4
send some help​

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

I need help pls answer

Does the table represent an exponential function? Explain why or why not.
(3,-10 ), (4,-7 ), (5,-4), (6,-1), (7,2),(8,5)

down the additive inverse of 4 by 7​

Plsssss help will mark brainliest

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

Is this right? Answer quick please

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

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.

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

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



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




​

Which equation has no real solutions?

) ​​−2​x2=−168

) 4​x2+ 76 = 32

) 25​x2= 1

) 43 −​x2= 12

SP=3x+1, and LN=10x−6. Find SP.

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

False

Find the factors of following:
(i) 8x^2yz
​