Simplify the following expression.

(4x + 1)(x - 4)
A.
4x2 - 15x - 5
B.
4x2 + 15x - 4
C.
4x2 - 15x - 4
D.
4x2 - 17x - 4

Answers

Answer 1

Answer:

[tex](4x + 1)(x - 4) = 4x( x - 4) + 1(x-4)[/tex]

                       [tex]=4x^2 -16x +x -4\\=4x^2 -15x -4[/tex]

option C


Related Questions

Write all even numbers between 73 and 83.​

Answers

All of the even numbers between 73 and 83 are 74, 76, 78, 80, 82.

Answer:

74,76,78,80,82

Step-by-step explanation: even numbers are whole numbers that have 0,2,4,6,8 in their ones place

A 250
B 1000
C 1750
D 5000

Answers

Answer: b

Step-by-step explanation: divide and round

Answer:

I believe the best answer is A


HELP HELP HELP HELP

What is the equation of the trend line in the scatter plot ?

Answers

answer:
y = -2x + 11

step-by-step explanation:
counting rise/run you will find the slope is -2
using this rule 11 would be the y-intercept
making it into y = mx + b
y = -2x + 11

In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead. Construct a 95% condence interval for the proportion of water specimens that contain detectable levels of lead

Answers

Answer:

The 95% confidence interval for the proportion of water specimens that contain detectable levels of lead is (0.472,0.766).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead.

This means that [tex]n = 42, \pi = \frac{26}{42} = 0.619[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.619 - 1.96\sqrt{\frac{0.619*0.381}{42}} = 0.472[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.619 + 1.96\sqrt{\frac{0.619*0.381}{42}} = 0.766[/tex]

The 95% confidence interval for the proportion of water specimens that contain detectable levels of lead is (0.472,0.766).

Compute the height (in meters) of a cylinder with a radius of 2m and
volume 138 cubic meters. Round to the nearest meter.

Answers

Answer: 10.98 meters

Step-by-step explanation:

What is the difference in elevation between -92 and 3720

Answers

I think the answer is 381

Can somebody please help me

Answers

Step-by-step explanation:

For y = 2^x:

f(-3) = 2^-3. f(-2) = 2^-2. f(-1) = 2^-1

= 1/8 = 1/4. =1/2

f(0) = 2^0 f(1) = 2^1. f(2) = 2^2

= 1 = 2. =4

f(3) = 2^3

=8

For 3y = 7x + 3, y= (7x+3)/3

f(-3) = [7(-3)+3] / 3. f(-2) = [7(-2)+3] / 3

= -6. = -11/3

f(-1) = [7(-1)+3] / 3. f(0) = [7(0)+3] / 3

= -4/3 = 1

f(1) = [7(1)+3] / 3. f(2) = [7(2)+3] / 3

= 10/3 = 17/3

f(3) = [7(3)+3] / 3.

= 8

point of intersection, where y=2^x and 3y = 7x + 3 has the same x and y coordinate

Answer: (0,1) and (3,8)

An additional amount of money added to borrowed money only on principal is what kind
of interest?
-Interest rate
-Terms
-Simple Interest
-Compound interest

Answers

Answer:

simple interest

Step-by-step explanation:

An additional amount of money added to borrowed money only on the principal could be simple interest.

How to calculate a simple interest amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

Since, the initial amount (also called as principal amount) is P, and the interest rate is R% per unit of time, it is left for T unit of time for that compound interest.

we can conclude that the additional amount of money added to borrowed money only on principal is simple interest.

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Please help!!!!! I will make you best answer!!!!
Factor each.
7) f(x)=x4 – x² - 6
A) f(x) = (x² + 2)(x² – 3)
B) f(x) = (x² + 2)(x² + 4)
C) f(x) = (x² + 3)(x² – 3)
D) f(x) = (x2 + 4)(r? - 3)

Answers

Answer:

Option A

Step-by-step explanation:

Given function is,

[tex]f(x)=x^4-x^2-6[/tex]

Hint: [tex](-1=-3+2)[/tex] and [tex](-3)(2)=-6[/tex]

[tex]f(x)=x^4-3x^2+2x^2-6[/tex]

       [tex]=x^2(x^2-3)+2(x^2-3)[/tex]

       [tex]=(x^2+2)(x^2-3)[/tex]

[tex]f(x)=(x^2+2)(x^2-3)[/tex] is the factored form of the given function.

Option A will be the correct option.

At a school, there are 28 students for every 2 teachers. What is the ratio of teachers to students?

Answers

14:1

If im wrong oops

Answer: 1:14

Step-by-step explanation:

28/2 = 14

Given that the triangles shown below are similar, what is the value of x? 32 20 H 48M P A. 96 B. 10.7 C. 24 D. 20

Answers

Answer:

I DONT SEE TRIANGLES

Step-by-step explanation:

The makers of MaxGrow want to ensure customers that their product will work under a wide variety of conditions such as a variety of watering conditions (no added water or watering daily) and how much fertilizer was used (no fertilizer, half fertilizer, or full fertilizer). The researchers randomly choose which group each tomato plant will be assigned to. At the end of the experiment, the number of tomatoes picked from each tomato plant is recorded.
a. Identify the subjects.
b. Explanatory variables
c. Treatments
d. Response variable

Answers

Answer:

Subject : Tomato plant

Explanatory variables : Watering condition ; Fertilizer addition

Treatment : daily watering ; half fertilizer ; full fertilizer

Response variable = Number of tomato picked

Step-by-step explanation:

Subjects are the individuals, animals or plants upon which treatment is applied. The subject here are the tomato plants

The Explanatory variables are the independent variables upon which we want base the variation of the dependent variable. The Independent variables are the watering condition a d the amount of fertilizer added.

Treatment : These are the actual changes made or applied on the subject, they include, daily watering, full or half fertilizer application.

Response variable : The number of tomatoes picked. This is also called the dependent variable, it is the outcome which may be due to the effect of the independent variable.

What is the answer correct answer someone please tell me I need the answer ASAP
You will get brainlest if it’s correct

Answers

Answer: 180

Step-by-step explanation: you do 2 divided by 5 and get 0.4 then multiply that by 450

A manufacturer has 5,634 pens to divide into packs of 4 pens. The manufacturer makes as many packs as possible.

How many packs of pens does the manufacturer make, and how many pens are left over?

Answers

Answer:

1,408 packs can be made, and 2 pens will be left out.

Step-by-step explanation:

Given that a manufacturer has 5,634 pens to divide into packs of 4 pens, and the manufacturer makes as many packs as possible, to determine how many packs of pens does the manufacturer make, and how many pens are left over, the following must be done calculation:

5.634 / 4 = X

1,408.5 = X

5,634 - (1,408 x 4) = X

5.634 - 5.632 = X

2 = X

Therefore, 1,408 packs can be made, and 2 pens will be left out.

Answer: 1,408 packs can be made and 2 will be left out

Step-by-step explanation:

The side lengths of a triangle are 5, 12, and 13. Is this a right triangle?

Answers

Answer:

yes, it is right triangle

Step-by-step explanation:

to know if it is right triangle or not, you need to assume that the longest side is the hypotenuse which is 13.

next, the angle between 12 and 5 must be 90 to prove that it was right triangle

to prove that, let's use cosinus theorem

[tex] {13}^{2} = {12}^{2} + {5}^{2} - 2(12)(5) \cos(x) \\ 2(12)(5) \cos(x) = {12}^{2} + {5}^{2} - {13}^{2} \\ \cos(x) = \frac{ {12}^{2} + {5}^{2} - {13}^{2} }{2(12)(5)} \\ \cos(x ) = 0 \\ x = 90[/tex]

from that, we know it is a right triangle

C What is the volume of the rectangular prism? 3 2 3. m 8 mm 9 mm​

Answers

Answer:

267.75

Step-by-step explanation:

i think this because that what I got by multiplying 3 1/2 x 9 x 8 1/2

The locus of points in a plane 1 unit from the point (0,0)

Answers

Answer:

x² + y² = 1

Step-by-step explanation:

A circle is the locus of a point such that its distance from a fixed point (known as the origin) is always constant. The general equation of a circle is given as:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center of the circle and r is the radius of the circle.

Given that the plane is 1 unit from the point (0,0). Therefore the radius of the circle is 1 unit and the center of the circle is (0, 0). Therefore the equation of the circle is:

[tex](x-0)^2+(y-0)^2=1^2\\\\x^2+y^2=1[/tex]


click on picture to see

Answers

Answer:

try letter B

Step-by-step explanation:

and can you be my friend

Answer:

Step-by-step explanation:

C the quotient would be N/12 not 12/N

what is the answer for this question
(x + 3)^4

Answers

(x+3)4

=(x+3)4

=(x+3)*(x+3)*(x+3)*(x+3)

=x4+12x3+54x2+108x+81

x^2 + 12x^3 + 54x^2 + 108x + 81

plzzzzzzzz help for a brainly

Answers

Answer:

Complementary angles are 90°

Supplementary angles are 180°

Vertical angles are congruent

Answer:

Complementary Angles: add up to 90

Supplementary Angles: add up to 180

Vertical Angles: are congruent(equal)

Step-by-step explanation:

Jocelyn’s plane travelled 500 mph for 7.3 hours. How far did her plane travel?

Answers

Answer:

Jocelyn's plane travelled 3650 miles.

Step-by-step explanation:

mph stands for miles per hour.

Let's set up an equation.

total miles = speed(hours)

Jocelyn's plane travelled 500 mph for 7.3 hours.

total miles = 500(7.3)

Multiply.

total miles = 3650

Jocelyn's plane travelled 3650 miles.

Hope this helps!

Alejandra wants to raise at least $400 for charity. She has 190 that she will be donating. Alejandra plans to ask her friends to contribute $15 each. Write an inequality that represents Alejandra’s situation.How many friends will need to contribute for Alejandra to reach her goal?

Answers

Answer:

15x + 190 >= 400

* >= means greater than or equal to *

at least 14 friends

Step-by-step explanation:

without the inequality it'd be 15x + 190 = 400

but since you want it to be at least 400 you change the = to the greater than or equal to sign

15x + 190 = 400 * subtract 190 from both sides*

15x = 210 *divide both sides by 15*

x = 14

Factor the polynomial:4x^4y^2-16x^4y^2+8x^2y​

Answers

Answer:

[tex]4x^2y(x^2y - 4x^2y+2)[/tex]

Step-by-step explanation:

Given

[tex]4x^4y^2-16x^4y^2+8x^2y[/tex]

Required

Factor

[tex]4x^4y^2-16x^4y^2+8x^2y[/tex]

Factor out [tex]4x^2[/tex]

[tex]4x^2(x^2y^2 - 4x^2y^2+2y)[/tex]

Factour out y

[tex]4x^2y(x^2y - 4x^2y+2)[/tex]

A recent survey stated ''4 out of 5 dentists prefer Clean Toothpaste.'' There were 80 dentists in the survey. How many dentists preferred Clean Toothpaste
A: 36
B: 44
C: 64
D: 100

Answers

I think it is (C)

Hope this helps

if anyone needs help with figuring out the triangle degrees math stuff im the gal! I will take a look at it and walk u threw it/explain how i got the answer or other math like linear equations!

Answers

i struggle with triangles! also do you like girls? or are you straight?

Find the length of the third side. If necessary, write in simplest radical form. 9 5

Answers

Step-by-step explanation:

[tex](9) {}^{2} = (5) {}^{2} + (x) {}^{2} \\ 81 = 25 + {x}^{2} \\ {x}^{2} = 56 \\ x = 2 \sqrt{14} = 7.4[/tex]

What would x be for this to be true -4x=5

Answers

Answer:

x = -5/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

-4x = 5

Step 2: Solve for x

[Division Property of Equality] Divide -4 on both sides:                                -4x/-4 = 5/-4Simplify:                                                                                                             x = -5/4

Answer:

x = -5/4

Step-by-step explanation:

-4x = 5

Divide both sides by -4

x = -5/4

A simple random sample of 6,250 history majors at U.S. universitites was taken. Almost all of them could correctly name Abraham Lincoln's second Vice President, but only 11.3% of them knew his first Vice President. If possible, find a 95%-confidence interval for the percentage of history majors at U.S. universities who knew Abraham Lincoln's first Vice President. If this is not possible, why not

Answers

Answer:

The 95%-confidence interval for the percentage of history majors at U.S. universities who knew Abraham Lincoln's first Vice President is (10.5%, 12.1%).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

6250 students, 11.3% knew Abraham Lincoln's first vice-president.

This means that [tex]n = 6250, \pi = 0.113[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.113 - 1.96\sqrt{\frac{0.113*0.887}{6250}} = 0.105[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.113 + 1.96\sqrt{\frac{0.113*0.887}{6250}} = 0.121[/tex]

As percentages:

0.105*100% = 10.5%

0.121*100% = 12.1%

The 95%-confidence interval for the percentage of history majors at U.S. universities who knew Abraham Lincoln's first Vice President is (10.5%, 12.1%).

You are in charge of buying pizzas for the math club meeting. The individual pizzas cost $5 each, and the large pizzas cost $10 each. You have $80 to spend. Write an equation that matches this situation.

Answers

Answer:

Big pizzas = B. Normal pizzas = N;

10B + 5N = 80

Step-by-step explanation:

Required equation that matches the given situation is 5x+10y = 80

What is equation?A mathematical equation which represents the relationship of constants and variable with Arithmetic operationsIt has one variable or more than one variable.It has equal to symbol.For Example: 3y-8 = 1, it has the solution y = 3.

Let the number of individual pizza be x

Let the number of large pizza be y

Cost to be spent is $80

Cost of individual pizza = $5

Cost of large pizza = $10

The equation matched this situation is 5x + 10y = 80.

Hence, the required equation is 5x + 10y = 80

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Fun question: Which Disney character is your favorite?

Make sure it’s detailed!! Will give out Brainlist!!

Answers

Answer:

Belle is my fav.

Step-by-step explanation:

She loves to read books like me and I hate people who always go out there and try to impress me with something.

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