x² + 3x -4 = 0
Factor the quadratic equation

Answers

Answer 1

Answer:

(x-1)(x+4)

Step-by-step explanation:

[tex]x^2+3x-4\\x^2-x+4x-4\\x(x-1) 4(x-1)\\(x-1)(x+4)[/tex]

Answer 2
(x+4)(x-1)

First, find the factors of the constant (number without an x)

The factors of -4 are:
-1, 4
1, -4
2, -2

Looking at these factors find which pair of factors adds up to the middle number (3x)

4 + -1 = 3

Now you can factor this equation. Put x + 4 into one pair of parenthesis and x - 1 into another pair of parenthesis. You do this because you are separating the two factors into two expressions, that when multiplied together, will equal x^2 + 3x - 4

(x+4)(x-1) is the answer

To check this, multiply the two expressions together. You should get x^2+3x-4=0

Related Questions

PSSS I REALLY NEED HELP

Answers

Answer:

x=7.45

Step-by-step explanation:

Hey There!

For this one we are going to solve for x using trigonometry

Law of Sines to be more specific

So basically [tex]\frac{7}{sin(70)} = \frac{x}{sin(90)}[/tex]

Step on multiply each side by sin(90)

now we have

[tex]x=\frac{7*sin(90)}{sin(70)}[/tex]

7*sin90=7

[tex]\frac{7}{sin70} =7.4492944407[/tex]

Then we just round to the nearest hundredth which would make it into 7.45

Therefore x=7.45

A zoo requires that 1 adult accompany every 7 students that visit the zoo. How many adults must accompany 28 students?

Answers

4 adults.

Take 28/7 and you get 4

Answer:

4 adaults

Step-by-step explanation:

One third of the marbles were blue. How many of the marbles were blue? Draw a picture to solve the problem

Answers

uh

one third?

idunno man

Which conditions are necessary for hail to form?

Answers

Answer:

Normally in intense thunderstorm clouds. The temperature should be below 32 degrees Fahrenheit in the clouds where the hail forms, typically there is also large water droplets and strong updrafts.

Answer: The freezing temperature of the air below the cloud causes the water droplets to freeze.

Step-by-step explanation: Weather conditions must be just right in order for hail to occur. The most important factors are dark,gray clouds alongside thunder and lightning in freezing or below freezing temperatures. When thunder is strong enough to raise water droplets up into freezing temperatures,hail is formed.

Add, simplify the answer and write it as a mixed number

Answers

The second answer bubble

This graph represents a linear function.
Enter an equation in the form y=mx+b that represents the function
described by the graph.
*Note: Uses only numbers and symbols, no spaces. If there is a fraction,
10
1
make it improper and use parentheses (ie. y =
72+ z will be typed
as y=(10/7)x+(1/2)]
Type your answer

Answers

Answer:

y=1x-3

Step-by-step explanation:

use inductive reasoning to predict the next line in the sequence of computations.
1=1×1
1+7=2×4
1+7+13=3×7​

Answers

Answer:

1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n

Step-by-step explanation:

The computation of the next line in the sequence is shown below:

As we can see that there is an increase of 6 in the left side and on the right hand side there is an increase of one

So,

1 = 1 × n

1 + (1+6) = 2 × n

1 + (1+6) + (1+6+6) = 3 × n

So, the next line would be  

1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n

i.e.

1 + 7 + 13 + 19 = 4 × 10

As 1 + 7 + 13 + 19 = 40

And 40 = 4 × 10

−3x+6=39

What is the value of x?

Answers

Answer:

x = -11

Step-by-step explanation:

−3x + 6 = 39

-3x = 33

x = -11

Step-by-step explanation:

-3x+6=39

-3x=39-6

-3x=33

x=33/-3

x=11

Using the figure below, what is the trigonometric ratio of cos C?

Answers

Answer:

8/9 (choice b)

Step-by-step explanation:

The trigonometric ratios are based on the ratios of different sides.

If you remember SOH CAH TOA =

sine (sin) opposite hypotenuse

cosine (cos) adjacent hypotenuse

tangent (tan) opposite adjacent

__________________________

This is a nuemonic for these ratios.

the opposite side is the side that is directly across from the reference angle, the hypotenuse is the longest side, and the adjacent side is the side other than these two.

So cos C = adjacent side / hypotenuse side.

Since 18 is greater than 16 and 9, 18 is the hypotenuse.

the adjacent side is the side other than the opposite side and the hypotenuse which is 16

therefore cos C = 16 / 18 = 8 / 9.

4x + 3 − 23x

This expression has 3 terms.
true or false

Answers

Answer:

True

Terms are separated by the signs

PLS HELP WILL GIVE BRAINIEST Which triangle makes this statement true?

Answers

C. Triangle KLN
It has the same measurements as the triangles presented

Find the area of each of the following

Answers

Answer:

The area of this shape is 252.

Step-by-step explanation:

Cut the right piece of the shape into a triangle of 90 degrees, which makes the shape divided into 2 triangles and 1 rectangle.

9 x 13 = 117 (rectangle part)

15 x 9 = 135, 135/2 = 67.5

15 x 9 = 135, 135/2 = 67.5

67.5 + 67.5 + 117 = 252

the given is a square pyramid. The side length of the base of the pyramid is 28 millimeters. The volume of the pyramid is 1296 cubic mm. What is the height of the pyramid​

Answers

Hi! the answer is 2+[8x1296] because you break the 28 and the 1296 stays the same

Work out the difference between 77.5 and 2.27.

Answers

Answer:

75.23 is the answer for 77.5-2.27

Two angles are supplementary. One angle measures (3x+8) and the other measures (6x+64) what is the value of X?

Answers

3x+8+6x+64=180 (definition of supplementary angles)
9x+72=180 (Simplify)
9x=108 (Subtraction property of equality)
x=12

ANOTHER PI DAY QUESTION! LAST ONE!
Pi belongs to which number set?
I would say it would be irrational because PI is said to never end, but it won't take my answer. Any other ideas?

Answers

Answer:

I would try saying that it is a real number

Step-by-step explanation:

Answer:

Pi is a Real or Complex number

Please help me I’m struggling

Answers

Answer:

Step-by-step explanation:

Remark

This is a cosine law problem.

a = 12

b = 15

C = 83

Notice that the angle is enclosed by 2 given sides. That's what a cosine problem looks like (one of the two choices.

Formula

c^2 = a^2 + b^2 - 2ab*cos(C)

Solution

c^2 = 12^2 + 15^2 - 2*12*15 * cos(83)

c^2 = 144 + 225 - 360 * cos(83)

cos(83) = 0.1219

c^2 = 144 + 225 - 360 * 0.1219

c^2 = 369 - 43.884

c^2 = 325.116

sqrt(c^2) = sqrt(325.116)

c = 18.031

To the nearest tenth, the answer is 18.0 and you must include the 0.

You randomly select ONE card from a 52-card deck. Find the probability of selecting a card greater than 2 and less than 7, or a diamond.

Answers

There is 13 diamonds and 4 numbers greater than 2 but less than 7. This means your probability of selecting one of these specific cards is a 17/52 chance

i need help with this problem

Answers

9514 1404 393

Answer:

  (a)  4 in²

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the height of the prism.

We can find the area of the base by solving for B.

  B = V/h

  B = (12 in³)/(3 in)

  B = 4 in² . . . . . . . . . . matches the first choice

Ben loves Thanksgiving and he cooks the family turkey every year. He has noticed that over the years the amount of people who show up for his Thanksgiving dinner tends to vary, and he was wondering if this was correlated with the size of the turkeys he cooks. He recorded the weight of the turkeys he cooked (in lbs.) and the amount of guests who showed up for diner for 12 randomly chosen Thanksgivings. When he was analyzing the data he decided to perform a Box Cox transformation and he derived a lambda equal to 0.891.
What transformation does this value of lambda suggest?
a. With a lambda close to 1. it looks like we should take the square root of y
b. With a lambda close to 1. it does not look like we need to re-express the data.
c. With a lambda close to 1, it looks like we should take the log of y
d. With a lambda close to 1. it looks like we should take the log of x.

Answers

Answer:

The answer is "Option b".

Step-by-step explanation:

Calculating the common Box-Cox Transformation:

[tex]\lambda \ value \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Transformed \ data \ (Y')\\\\[/tex]

  [tex]-3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-3} =\frac{1}{Y^3} \\\\ -2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-2} =\frac{1}{Y^2} \\\\ -1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-1} =\frac{1}{Y^1} \\\\ -0.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-0.5} =\frac{1}{\sqrt{Y}} \\\\ 0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \log(Y)^{**} \\\\[/tex]

    [tex]0.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-0.5} =\sqrt{(Y)} \\\\ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{1} =Y \\\\ 2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{2} \\\\ 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{3} \\\\[/tex]

For my friend I’ll mark you and thanks you

Answers

I think it’s A or B !

Find the area of the shaded region

Answers

I think it could be b

Answer:

A

Step-by-step explanation:

8-6=2

6×2=12

12×2=24

Put your answer in cm^2

Find the angle x, between the tops of two steel beams in front and on top of the building. Round your answer to the nearest tenth if needed.

Answers

Answer:

55 Degrees

Step-by-step explanation:

4x+2-x=17

Solve the equation for x

Explain how

Answers

3x+2=17

17-2=15

15/4 =3.75

X=3.75

Answer:

5

Step-by-step explanation:

4x-x=17-2

3x=15I:3

x=5

i think thats right

3. People with type O-negative blood are universal donors (any patient can
receive a transfusion of O-negative blood). Only about 6.6% of the American
population has O-negative blood. If 270 unrelated people give blood in a certain
week, how many of these people do we expect to be universal donors? (Hint:
Remember to convert percent numbers to decimals before multiplying.)
PLEASE HELP

Answers

Answer:

We expect 17.82, that is, approximately 18 people to be universal donors.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are universal donors, or they are not. The probability of a person being an universal donor is independent of any other person. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Only about 6.6% of the American population has O-negative blood.

This means that [tex]p = 0.066[/tex]

If 270 unrelated people give blood in a certain week, how many of these people do we expect to be universal donors?

This is E(X) when [tex]n = 270[/tex]. So

[tex]E(X) = np = 270*0.066 = 17.82[/tex]

We expect 17.82, that is, approximately 18 people to be universal donors.

please help me this is so confusing

Answers

Answer:

13.5 ft

Step-by-step explanation:

base = 18ft

To find the height, take 75% of 18

To do this, take the decimal form of 75% (which is 0.75) and multiply that by 18:

0.75 x 18 = 13.5

13.5 would be the height

Answer:

13.5?

Step-by-step explanation:

The diameter of a circle is 100cm what is the circumference of the circle use 3.14 for​

Answers

Given diameter (D) = 100

Radius = D/2 = 50

Circumference = πD

= 100π

= 314.15926535898

About 1.15 million people live in a circular region with a population density of 18075 people per kilometer. Find the radius of the region

Answers

Answer:

r = 5 km

Step-by-step explanation:

Given that,

The population in a circular region = 1.15 million

The population density of the region = 18075 people per kilometer

We need to find the radius of the region.

We can find the area of circular region i.e.

[tex]A=\dfrac{P}{d}\\\\A=\dfrac{1.15\times 10^6}{18075 }\\A=63.6\ km^2[/tex]

We know that the area of a circular region is given by :

[tex]A=\pi r^2\\\\\pi r^2=63.6\\\\r=\sqrt{\dfrac{63.6}{\pi}} \\\\r=4.49\ km[/tex]

or

r = 5 km

So, the radius of the region is equal to 5 km.

please give the answer and explain

I beg yall i am giving all my points

please help please I will make brainliest please

Answers

Answer:

I think u add those numbers up because it's saying figure out the volume below. it must be adding.

Step-by-step explanation:

so just separate the shape into 2 . then you will have one cube 8×8×8 and a rectangle 9×4×8 find the volume of both and then add them together

Complete the statement with the term that makes it true.
If there is no data for a value within the range, there still needs to be a
for that value in a frequency table.
O column
Orow
Otable

Answers

Answer is in the file below

tinyurl.com/wpazsebu

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