1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andru [333]
3 years ago
8

I need help with this

Mathematics
2 answers:
masya89 [10]3 years ago
8 0
Hello there! With finding the area of the rectangle in this scenario, we have to multiply binomials by doing distribution or in this case, the FOIL method. This means, multiply the terms by the first terms of each parenthesis, the outer terms of the parenthesis, inner terms of the parenthesis, and the last terms in both parenthesis. It's a bit like regular distribution. Set it up like this:

(4x - 7)(x + 3)

Now, multiply the terms. 4x * x is 4x². 4x * 3 is 12x. -7 * x is -7x. -7 * 3 is -21. Combine like terms in order to get 4x² + 5x - 21. The answer is D.

Note: If there is a negative in front of the number you are multiplying, you incorporate the negative in that number. x² is there, because two x's are being multiplied together. Be sure to incorporate these steps and solve the right way and be aware of the symbols. Otherwise, you might make a mistake.
rodikova [14]3 years ago
5 0
You need to expand (4x-7)(x+3), multiplying each term in the first bracket by each term in the second bracket, in order to get 4x^2+5x-21. Hope that helps!
You might be interested in
Find the difference or type impossible [9 -1] [4 3] [2 -3] [5 0]
IrinaK [193]

The difference based on the numbers given is -80.

<h3>How to compute the difference?</h3>

The information given illustrates that the difference will be:

= (9 - 1) - (43) - (2 - 3) - 50

= 8 - 43 - (-1) - 50

= 8 - 43 + 1 - 50

= -80

Therefore, the difference or subtraction among the numbers given is -80.

Learn more about difference on:

brainly.com/question/148825

#SPJ1

3 0
1 year ago
Find the area of the trapazoid for me please :)
Doss [256]

Answer:

A = 14 m^2

Step-by-step explanation:

The area of a trapezoid is found by

A = 1/2 (b1+b2) *h  where b is the length of the bases and h is the height

A = 1/2 (2+5) *4

A = 1/2(7)4

A = 14 m^2

6 0
3 years ago
A study of 25 graduates of 4-year public colleges revealed the mean amount owed by a student in student loans was $55,051. The s
Harman [31]

Answer:

Step 1

The data represent amount.

A 90% confidence interval for the population mean is,

First, compute t-critical value then find confidence interval.

The t critical value for the 90% confidence interval is,

The sample size is small and two-tailed test. Look in the column headed and the row headed in the t distribution table by using degree of freedom is,

The t critical value for the 90% confidence interval is 1.711.

A 90% confidence interval for the population mean is .

Step 2

It is reasonable to conclude that mean of the population is actually $55000 due to a 90% confidence intrerval for population mean is between $52461.23 and $57640.77 does include $55000.

The data represent amount.

A 90% confidence interval for the population mean is,

First, compute t-critical value then find confidence interval.

The t critical value for the 90% confidence interval is,

The sample size is small and two-tailed test. Look in the column headed and the row headed in the t distribution table by using degree of freedom is,

The t critical value for the 90% confidence interval is 1.711.

A 90% confidence interval for the population mean is .

It is reasonable to conclude that mean of the population is actually $55000 due to a 90% confidence intrerval for population mean is between $52461.23 and $57640.77 does include $55000.

5 0
2 years ago
Solve the following equations for x -11=3-7(x-1)
lesya692 [45]

Answer:

x = 21/8

Step-by-step explanation:

Step 1: Write equation

x - 11 = 3 - 7(x - 1)

Step 2: Solve for <em>x</em>

<u>Distribute -7:</u> x - 11 = 3 - 7x + 7

<u>Combine like terms:</u> x - 11 = 10 - 7x

<u>Add 7x on both sides:</u> 8x - 11 = 10

<u>Add 11 on both sides:</u> 8x = 21

<u>Divide both sides by 8:</u> x = 21/8

3 0
3 years ago
Read 2 more answers
Find the mean and variance of the following data<br><br> 52,34,64,49,55,26,38,63
BlackZzzverrR [31]

Answer:

Mean = 47,625

Variance, ignoring the commas = 157

Explanation:

The mean is quite simple: is the mid value of an amount (m') of numbers.

Examples:

Mean of 2, 4:  2 + 4/2 = 3

Mean of 5, 6 and 8: 1+6+8/3 = 15/3 = 5

Generalizing: M' = An + Bn-1 + Cn-2 +... + Y1/ n

So, for the enunciated, we have:

M = 52 + 34 + 64 + 49 + 55 + 26 + 38 + 63/8

M = 47,625

Variance is quite harder.

The mathematics definition is also quite harder:

∑n, i=1 (Xi - X')²/n

Traduction: the sum of the difference of the square of the dispersion measures by the arithmetic mean of them, divided by the number of observed terms is the square of the standard deviation, that is, the variance.

Don't worry, you don't need to understand that. I'll do the question, then you will see in practice what that means.

First, we need the mean of the observerd terms. We already have done that.

M = 47,625.

Next, we will do the the difference o<em>f the square </em>of the dispersion measures by the arithmetic mean of them. Which are:

A.52 - 47,625 = (4,375)²

B.34 - 47,625 = (-13,625)² - <em>Because of a value like that, you know see why</em>

C.64 - 47,625 = (16,375)²

D.49 - 47,625 = (1,375)²

E.55 - 47,625 = (7,375)²

F.26 - 47,625 = (-21,625)² - <em>we need to square everything: because a negati</em>

G.38 - 47,625 = (-9,625)² - <em>ve result doest not help in the statisc.</em>

K.63 - 47,625 = (15,375)²

I am using a calculator, but really with that, I'll aproximately the values. If you need a accurate measure, just square them all the way.

A = 16     D  = 1     G = 100

B = 169    E = 49    K = 225

C = 256   F = 441

The last part is the sum of the difference of the square of the dispersion measures by the arithmetic mean of them, dividing them by the number of observations.

16 + 169 + 256 + 1 + 49 + 441 + 100 + 225/ 8 = 157,125

8 is the number of observations.

___________________________

But why we do the variance? The variance serves to us for know how much the mean is precise.

So, the lower is the variance, the better is the mean.

Take a look on this example:

Imagine three persons, A, B and C.

They are in pub, talking about how much they receive. A gets, per month, 1000US$, b 2000 and C 3000US$.

So, their mean are 3000US$.

Now imagine that Bill Gates joins the group. And Bill, last month, got 100 milion US$.

Now the mean will be almost 25 milions of dollars.  So, she is VERY far from the reality of the major part of the group. And is in there that cames the variance. Looking to the variance, we will see that there is a big discrepancy for each observed term.

5 0
3 years ago
Other questions:
  • What is the value of -2/5 ÷ 3/4
    7·1 answer
  • Malcolm has been watching a roulette-style game at a local charity bazaar. The game has only ten numbers on the wheel, and every
    7·1 answer
  • On monday,the mars rover traveled 330 cm.On tuesday,it traveled 180 cm.If the rover stopped every 15 cm to recharge,how many mor
    10·1 answer
  • Marissa and haylie met for dinner in downtown Savannah. Marissa did flat-rate valet parking for $20. Haylie went to another vale
    7·1 answer
  • What would be the answer if this question? Solve: 8x/3x=16
    11·1 answer
  • Write and graph the inverse variation in which y = 12 when x = –4. URGENT!!!!!!!
    12·1 answer
  • Y=<br> 5<br> 6<br> x+5<br> y=<br> 1<br> 3<br> x+2
    15·1 answer
  • Compound interest compounded quarterly is given every ______ months. *<br> 1 point<br> 1<br> 3<br> 6
    10·1 answer
  • Triangle NLM is reflected over the line segment as
    11·1 answer
  • Genevieve brought $35.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/6 as much a
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!