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
Evgen [1.6K]
4 years ago
11

Write an algebraic expression in standard form for the shaded area of the following shape

Mathematics
1 answer:
Alex Ar [27]4 years ago
3 0

Answer:

x² + 7x + 12

Step-by-step explanation:

The area of a rectangle = length × width

here length = x + 4 and width = x + 3, hence

A = (x + 4)(x + 3)

Each term in the second parenthesis is multiplied by each term in the first parenthesis.

A = x(x + 3) + 4(x + 3) ← distribute each parenthesis

A = x² + 3x + 4x + 12 ← collect like terms

A = x² + 7x + 12 ← in standard form

You might be interested in
Kaitlyn saves $6 each week. After correctly carrying out the Solve step of the five-step problem-solving plan, which solution sh
ch4aika [34]

Answer:

1. 10 weeks

Step-by-step explanation:

Apparently, we want to find the number of weeks (w) that Kaitlyn must save $6 in order to have a total of $60.

... $6 × w = $60

Divide by $6 to get ...

... w = $60/$6 = 10

Kaitlyn must save for 10 weeks (if she starts with a balance of 0).

_____

<em>Comment on the problem statement</em>

The problem reads like we came in somewhere in the middle of it. We don't know what other steps you've been asked to perform, or any of the details of the problem you're asked to solve. We don't have Kaitllyn's initial balance, for example, which is essential to determining how long she must save. (If Kaitlyn's initial balance is $33, for example, she must only save for 4.5 weeks.)

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=g%28x%29%20%3D%20%20%5Cfrac%7B3%7D%7Bx%20-%204%7D%20" id="TexFormula1" title="g(x) = \frac{3}
liberstina [14]

You are right about the domain

it is all real values of x except 4

So about the range we must make x subject of the formular so we know the values of y in which g(x) is defined

undefined

u

6 0
2 years ago
1)The following function defines a recursive sequence:
Helen [10]
1) <span>-3, 6, -9, 12...
f(2) = -2*6 - (-3) = -9
f(3) = -2*-9 - (6) = 12

2) </span><span>2) Choose the slope-intercept equation of the line that passes through the point (-2, 2) and is parallel to y = 4x + 7.
Slope equals 4, since it's parallel. Substituting...
2 = 4*-2 + b          Add 8 to both sides
10 = b 
y= 4x + 10

3)Question is poorly transcribed, but assuming the points are (10, 60) and (16, 96):
 Average rate of change = (96-60) / (16-10) = 36 / 6 = 6m/s. 

4) A slope of zero means that y does not change with x. This means y is the same for any x value, so y is a horizontal line.
The third graph, the one where y= -6, is the correct answer. 

</span>
6 0
4 years ago
A movie rental website charges $5.00 per month for membership and $1.25 per movie.
Law Incorporation [45]
Well she has to spend £5 on membership and so she has £24.75 left and one movie is £1.25 so you do 24.75 / 1.25 to get 19.8 so she can view 19 movies this month. Hope this helps :)
5 0
3 years ago
In our solar system, 6 of the 8 planets have moons. What percentenge of the planets have moons
s2008m [1.1K]
Use the information to form a ratio... 6:8 or 6/8. Now set it equal to a ratio per 100...

6/8 = x/100

Cross multiply

8x = 600
x = 600/8
x = 75

75% have moons
8 0
3 years ago
Read 2 more answers
Other questions:
  •  Determine the number of solutions based on the graph for the following system of equations. 3x + 5y = 12 −32 + 15y = −9x .
    12·1 answer
  • Mrs. Santos is paid semimonthly. Her semi-monthly salary is $2,533.55. What is her
    14·1 answer
  • PLEASE HELP (2,1)(3,1)(4,1)(5,1)<br> A: Function<br> B: Not a function
    14·1 answer
  • 72% percent as a fraction
    12·2 answers
  • Katrina has the option of an 8-year non-subsidized student loan of $32,000 at an annual interest rate of 3.5% or an 8-year subsi
    10·1 answer
  • What numbers multiply to -72 and add to 6
    9·1 answer
  • -2x&lt;10 someone PLEASEE
    5·1 answer
  • What is the value of k in the equation below
    9·1 answer
  • John says the transformation rule (x, y) Right-arrow (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to
    9·2 answers
  • 20 points <br> Write a story to represent the equation 1/2 divided by 3 = ___.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!