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
andreyandreev [35.5K]
1 year ago
7

In the following exercises, multiply the binomials. Use any method. 248. (m + 11)(m − 4)

Mathematics
1 answer:
romanna [79]1 year ago
6 0

Answer:

Hence the expression $$(m+11)(m-4)=m^2+7m-44$$

Step-by-step explanation:

Explanation

  • The given expression is (m+11)(m-4).
  • We have to multiply the given expression.
  • Multiply the (m+11) by -4, multiply the (m+11) by m then add like terms.

$$\frac{\begin{matrix}{} & {} & m & + & 11 \\ \times & {} & m & - & 4 \\ \end{matrix}}

_____________

{\frac{\begin{matrix}{} & - & 4m & - & 44 \\ {{m}^2} & + & 11m & {} & {} \\ \end{matrix}}{\begin{matrix}{{m}^2} & + & 7m & - & 44 \\ \end{matrix}}}$$

You might be interested in
A recipe that makes 4 servings calls for Two-thirds cup of flour. How much flour is required to make 20 servings?
Karo-lina-s [1.5K]

Answer:

8/3

Step-by-step explanation:

7 0
2 years ago
10) Mr. Parker wants to draw a floor plan of his office, which measures 15 feet wide by 17.5 feet long. He is using the scale 1
Anna71 [15]
The width of his office on the floor plan is 2.5 in.
3 0
3 years ago
Read 2 more answers
Jorge is asked to build a box in the shape of a rectangular prism. The maximum girth of the box is 20 cm. What is the width of t
MariettaO [177]

Answer:

The width of the box is 6.7 cm

The maximum volume is 148.1 cm³

Step-by-step explanation:

The given parameters of the box Jorge is asked to build are;

The maximum girth of the box = 20 cm

The nature of the sides of the box = 2 square sides and 4 rectangular sides

The side length of square side of the box = w

The length of the rectangular side of the box = l

Therefore, we have;

The girth = 2·w + 2·l = 20 cm

∴ w + l = 20/2 = 10

w + l = 10

l = 10 - w

The volume of the box, V = Area of square side × Length of rectangular side

∴ V = w × w × l = w × w × (10 - w)

V = 10·w² - w³

At the maximum volume, we have;

dV/dw = d(10·w² - w³)/dw = 0

∴ d(10·w² - w³)/dw = 2×10·w - 3·w² = 0

2×10·w - 3·w² = 20·w - 3·w² = 0

20·w - 3·w² = 0 at the maximum volume

w·(20 - 3·w) = 0

∴ w = 0 or w = 20/3 = 6.\overline 6

Given that 6.\overline 6 > 0, we have;

At the maximum volume, the width of the block, w = 6.\overline 6 cm ≈ 6.7 cm

The maximum volume, V_{max}, is therefore given when w = 6.\overline 6 cm = 20/3 cm  as follows;

V = 10·w² - w³

V_{max} = 10·(20/3)² - (20/3)³ = 4000/27 = 148.\overline {148}

The maximum volume, V_{max} = 148.\overline {148} cm³ ≈ 148.1 cm³

Using a graphing calculator, also, we have by finding the extremum of the function V = 10·w² - w³, the coordinate of the maximum point is (20/3, 4000/27)

The width of the box is;

6.7 cm

The maximum volume is;

148.1 cm³

5 0
3 years ago
Generate the first 5 terms of this sequence:
AURORKA [14]
<span>We are given f(1) = 0 and f(2) = 1. Going forward, the term is the sum of the two previous terms. f(3) = f(2) + f(1) = 0 + 1 = 1. f(4) = f(3) + f(2) = 1 + 1 = 2 f(5) = f(4) + f(3) = 2 + 1 = 3 This matches answer B.</span>
4 0
3 years ago
Solve the following questions-
Setler79 [48]

Answer:

  2/5

Step-by-step explanation:

To get the ratio as a pure number, it must be expressed as the quotient of two values that have the same units. For the purpose here, it is convenient to convert both values to units of seconds.

__

<h3>units conversion</h3>

The conversion factor between minutes and seconds is ...

  1 minute = 60 seconds

Multiplying this equation by 3 gives ...

  3 minutes = 180 seconds

__

<h3>ratio of interest</h3>

Then the desired ratio is ...

  (72 seconds)/(3 minutes) = (72 seconds)/(180 seconds) = 72/180

  = (36×2)/(36×5)

  = 2/5

The ratio in its simplest form is 2/5.

3 0
2 years ago
Other questions:
  • WILL NAME BRAINLIEST PLEASE HELP ASAP!
    7·2 answers
  • Select the pronoun that agrees with the antecedent of the sentence below. If my sister or Carol arrives, ask _____ to wait.
    13·1 answer
  • Helpppppppp please ugh
    11·2 answers
  • ) Kira drew a circle with a radius of 20 inches and then another circle with a radius of 10 inches. What is the approximate diff
    5·2 answers
  • PLEASE HELP RIGHT AWAY
    7·1 answer
  • Y = 5(2)^x <br><br> Exponential growth and decay
    7·1 answer
  • What is the volume of this. Pyramid<br><br> 720 cm2<br> 1080cm2<br> 1440 cm2<br> 2160 cm2
    6·1 answer
  • The population of the world on July 4, 2010 was more than 6,850,000,000. Write the number in scientific notation
    13·1 answer
  • X+x-z; use x=3 &amp; z=4​
    12·1 answer
  • Nylah buys a pack of 20 markers for $6.00. How much does a pack of 30<br> markers cost? *
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!