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Trava [24]
2 years ago
14

(03.08A)

Mathematics
1 answer:
DiKsa [7]2 years ago
6 0

Answer:

4 + (-5)

Step-by-step explanation:

4 - 5 = 4 + (-5) = -1

Additive inverse of 5 = (-5)

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Write your own explicit formula. List the first 4 terms and solve for the 10th term using the formula. (show your work)
Shalnov [3]

Answer:

See below.

Step-by-step explanation:

Formula:

a_n = 3(n + 4)

First term: n = 1

a_1 = 3(1 + 4) = 15

Second term: n = 2

a_2 = 3(2 + 4) = 18

Third term: n = 3

a_3 = 3(3 + 4) = 21

Fourth term: n = 4

a_4 = 3(4 + 4) = 24

Tenth term: n = 10

a_{10} = 3(10 + 4) = 42

4 0
3 years ago
How does this polynomial identity work on numerical relationships?<br> (y + x) (ax + b)
Serggg [28]

Let us take 'a' in the place of 'y' so the equation becomes

(y+x) (ax+b)

Step-by-step explanation:

<u>Step 1:</u>

(a + x) (ax + b)

<u>Step 2: Proof</u>

Checking polynomial identity.

(ax+b )(x+a) = FOIL

(ax+b)(x+a)

ax^2+a^2x is the First Term in the FOIL

ax^2 + a^2x + bx + ab

(ax+b)(x+a)+bx+ab is the Second Term in the FOIL

Add both expressions together from First and Second Term  

= ax^2 + a^2x + bx + ab

<u>Step 3: Proof </u>

(ax+b)(x+a) = ax^2 + a^2x + bx + ab

Identity is Found .

Trying with numbers now

(ax+b)(x+a) = ax^2 + a^2x + bx + ab

((2*5)+8)(5+2) =(2*5^2)+(2^2*5)+(8*5)+(2*8)

((10)+8)(7) =(2*25)+(4*5)+(40)+(16)

(18)(7) =(50)+(20)+(56)

126 =126

3 0
3 years ago
6.7-3^2.9+4^3 evaluate the expression. show your work on a piece of paper.<br><br> 50+ points~!
vovangra [49]

Answer:

25

Step-by-step explanation:

6.7 -  {3}^{2} .9 +  {4}^{3}  \\  \\  = 42 - 9.9 + 64 \\  \\  = 42 - 81 + 64 \\  \\ =  106 - 81 \\  \\  = 25

7 0
3 years ago
Read 2 more answers
Subtract. 29.82 − 8.001 The difference is
maks197457 [2]

Answer:

21.819 is the difference

8 0
3 years ago
A paper clip is dropped from the top of a 144‐ft tower, with an initial velocity of 16 ft/sec. Its position function is s(t) = −
BabaBlast [244]
\bf s(t)=-16t^2+144\implies \stackrel{velocity}{\cfrac{ds}{dt}}=-32t

when does it hit the ground?  check the picture below.

\bf 0=-16t^2+144\implies 16t^2=144\implies t^2=\cfrac{144}{16}\implies t^2=9&#10;\\\\\\&#10;t=\sqrt{9}\implies t=3

at that moment, the velocity is -32(3).

7 0
3 years ago
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