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SCORPION-xisa [38]
3 years ago
15

From 4a + 7b - 12c subtract 8a - 9b + 12d.

Mathematics
1 answer:
ollegr [7]3 years ago
8 0

Answer:

-4a + 16b -12c -12d

Step-by-step explanation:

Given:  From 4a + 7b - 12c subtract 8a - 9b + 12d.

We are given two algebraic expression. We can add/subtract only the like terms.

(4a + 7b  -12c) - (8a -9b +12d)

Now we have distribute the negative sign inside the second expression (8a -9b +12b). If we do, the sign changes.

4a + 7b -12c -8a + 9b -12d                                          [Sign rule: -(-) = +; -(+) = -]

Now we can combine the like terms

= (4a - 8a) +(7b + 9b) -12c -12d

= -4a + 16b -12c -12d

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The four digit numeral 3AA1 is divisible by 9. What digit does A represent
dexar [7]

Answer:

A = 2, the number is 3221

Step-by-step explanation:

In order for the number to be divisible by 9, the sum of it's digit has to be divisible by 9.

In our case, 4+A+A+1= 9k where k is an integer. the easiest way happens when k=1

5+2A= 9 \rightarrow 2A=4 \rightarrow A = 2

Higher values of k will likely most work (with k=2 you get A to be a non-integer, which can't work since it's the digit of a number, and with higher values of K you're not getting a number in base 10.

4 0
2 years ago
The sum of two numbers is 42. Their product is 360. What are the two numbers?
yKpoI14uk [10]
Those two numbers are 30 and 12.

30+12=42

and

30*12=360

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7 0
3 years ago
Read 2 more answers
Derek is playing a prank on Grace and hid her pencil inside a tissue box that has a width of 4 inches, a length of 8 inches, and
ohaa [14]

Answer:

9.8 Inch

Step-by-step explanation:

The distance from the upper left corner to the bottom right corner of the box is the longest diagonal of the box.

For a rectangular prism:

Length of the Longest diagonal =\sqrt{ l^2+h^2+w^2}

Therefore:

Length of the pencil=\sqrt{ 8^2+4^2+4^2}

=\sqrt{96}\\=9.8$ inch(correct to  the nearest tenth of an inch)

8 0
3 years ago
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Consider the polynomial f(x) = 5x4+ 3x2+ x + 19. How many complex solutions does the polynomial have?
antiseptic1488 [7]

Answer:

  1. there are 4 complex solutions
  2. 3 real zeros and 2 complex zeros

Step-by-step explanation:

1. Descarte's rule of signs tells you there are 0 positive real roots and 0 or 2 negative real roots. (for positive x, signs are ++++ so have no changes; for negative x, signs are ++-+, so have 2 changes.) A graph shows no real roots.

2. There are 3 sign changes in the given polynomial, so 3 or 1 positive real roots. When the sign of x is changed, there are 2 sign changes, so 0 or 2 negative real roots. A graph shows 2 negative and one positive real root (for a total of 3), so the remaining 2 roots are complex.

5 0
3 years ago
What are the constants in the expression below? 12x -3.7 -8y +1/3
Fantom [35]
Anything without a variable in front.

In other words, the constants are -3.7 and 1/3 
5 0
3 years ago
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