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MArishka [77]
3 years ago
12

if x represents the first of three consecutive even integers,express the sum of the three integers in terms of x.write the algeb

raic expression described
Mathematics
1 answer:
jek_recluse [69]3 years ago
5 0
Idk this one this sem a littly to hard

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(x+5)(x-5) Multiplying special case polynomials
azamat

Answer:

x^2 - 25 ✔

Step-by-step explanation:

(x+5)(x-5)

x(x-5) +5(x-5)

x^2 - 5x + 5x - 25

x^2 - 25

7 0
3 years ago
Can someone please help me with number 26
Ipatiy [6.2K]
300 is the original amount and 0.5 is the rate (a percent) which is deacying because it is less than 1
5 0
3 years ago
Read 2 more answers
Help me its due today
Tanzania [10]

Answer:

$65.35

Step-by-step explanation:

  1. First you have to divide 5.4% by 100
  2. Take 5.4/100 and multiply it by 62
  3. Take the number you get from step 2 and add it to 62! (:
4 0
3 years ago
The product of (3 − 4i) and____is 25.
LiRa [457]

(3-4i)(a+bi)=25\qquad\text{use FOIL method}\\\\(3)(a)+(3bi)+(-4i)(a)+(-4i)(bi)=25+0i\\\\3a+3bi-4ai-4bi^2=25+0i\\\\3a+3bi-4ai-4b(-1)=25+0i\\\\3a+3bi-4ai+4b=25+0i\\\\(3a+4b)+(3b-4a)i=25+0i\\.\qquad\qquad\qquad\qquad\Downarrow\\\\3a+4b=25\ and\ 3b-4a=0\\\\3b-4a=0\qquad\text{add 4a to both sides}\\\\3b=4a\qquad\text{divide both sides by 3}\\\\b=\dfrac{4}{3}a\qquad\text{substitute it to the first equation}\\\\3a+4\left(\dfrac{4}{3}a\right)=25\\\\3a+\dfrac{16}{3}a=25\qquad\text{multiply both sides by 3}

9a+16a=75\\\\25a=75\qquad\text{divide both sides by 25}\\\\\boxed{a=3}\qquad\text{put the value of a to}\ b=\dfrac{4}{3}a:\\\\b=\dfrac{4}{3}(3)\\\\\boxed{b=4}\\\\Answer:\ \boxed{(3-4i)\underline{(3+4i)}=25}

6 0
3 years ago
Help me please and thank you
sdas [7]

Answer:

Based on the model, the length of the wall is \frac{9}{8} ft, the width of the wall is \frac{1}{2} ft,  and the height of the wall is \frac{11}{8} ft. The volume of the portion of security wall that  Tim has constructed so far is \frac{99}{128}  cu ft.

Step-by-step explanation:

Given:

The figure constructed shows a rectangular prism made up of small wooden cubes of length \frac{1}{8}\ ft.

Width of the prism = \frac{1}{2}\ ft.

To find length , height and volume of the figure.

Solution:

From the figure we can conclude that :

Length side of the prism counts 9 cubes.

Thus, length of the prism will be given as :

⇒ \textrm{Length of each cube}\times \textrm{Number of cubes}

⇒ \frac{1}{8}\ ft\times 9

⇒ \frac{9}{8}\ ft  (Answer)

Height side of the prism counts 11 cubes.

Thus, height of the prism will be given as :

⇒ \textrm{Length of each cube}\times \textrm{Number of cubes}

⇒ \frac{1}{8}\ ft\times 11

⇒ \frac{11}{8}\ ft (Answer)

Volume of the prism can be given as :

⇒ Length\times width\times height

⇒ \frac{9}{8}\ ft\times \frac{1}{2}\ ft\times \frac{11}{8}\ ft

⇒ \frac{99}{128}\ ft^3 (Answer)

7 0
3 years ago
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