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ivanzaharov [21]
3 years ago
8

In the expression 4x+ 2y -3x +5y^2 +3z- 4z^2

Mathematics
1 answer:
ANTONII [103]3 years ago
3 0

Answer:

<h3>                4x and -3x</h3>

Step-by-step explanation:

We can simplify only like terms in an algebraic expression.

Terms are "like terms" only if they consist the same letters with the same exponent.

The only difference between like terms is their coefficients are different.

So:

2y and 2y² are not like terms (different exponents at y)

<u>4x and -3x  are like terms (the same letter, the same exponent)</u>

-3x and 32 aren't like terms (no x with 32 means different exponents)

or if you meant:

-3x and 3z  aren't like terms (different letters)

3z and 4z² aren't like terms (different exponents at z)

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If 2a+3b=12 and ab=6 find the value of 8a^3+27b^3
Alex17521 [72]
<span>A) 2a + 3b = 12
B) ab = 6 solving for a
B) a = 6 / b then we substitute this into equation A)
</span><span>A) 12 / b + 3b = 12  </span><span>multiplying this by "b"
A) 12 + 3b^2 = 12b
A) 3b^2 -12b +12= 0 dividing by "3"
A) b^2 -4b + 4 = 0
Factoring
(b-2) * (b-2) = 0
b = 2
Since b = 2 then a = 3

</span>NOW, we put these numbers into:
<span>8a^3 +27b^3 </span>
8*3*3*3 + 27*2*2*2
216 + 216
The answer is 512


6 0
3 years ago
Read 2 more answers
B- 7/4= -2/3 What is the B?
vitfil [10]

Answer:

13/12

Step-by-step explanation:

B - 7/4 = -2/3

B = -2/3 + 7/4

B = 13/12

3 0
3 years ago
What are the zeros of the quadratic function f(x) = 6x^2 + 12x - 7?
Sergeeva-Olga [200]

Answer:

-12 + √(144- 4(-42)/12

-12 + √312/12

-12 + 17.6 / 12

= +.47 and -.47

4 0
3 years ago
What is the standard form of the equation of a line for which the length of the normal segment to the origin is 8 and the normal
jeka57 [31]
Slope of line = tan(120) = -tan(60) = - &radic;3
Distance from origin = 8

Let equation be Ax+By+C=0
then -A/B=-&radic;3, or
B=A/&radic;3.
Equation becomes
Ax+(A/&radic;3)y+C=0

Knowing that line is 8 units from origin, apply distance formula
8=abs((Ax+(A/&radic;3)y+C)/sqrt(A^2+(A/&radic;3)^2))
Substitute coordinates of origin (x,y)=(0,0)  =>
8=abs(C/sqrt(A^2+A^2/3))
Let A=1 (or any other arbitrary finite value)
solve for positive solution of C
8=C/&radic;(4/3) => C=8*2/&radic;3 = (16/3)&radic;3

Therefore one solution is
x+(1/&radic;3)+(16/3)&radic;3=0
or equivalently
&radic;3 x + y + 16 = 0

Check:
slope = -1/&radic;3  .....ok
distance from origin
= (&radic;3 * 0 + 0 + 16)/(sqrt(&radic;3)^2+1^2)
=16/2
=8  ok.

Similarly C=-16 will satisfy the given conditions.

Answer  The required equations are
&radic;3 x + y = &pm; 16 
in standard form.

You can conveniently convert to point-slope form if you wish.




4 0
3 years ago
Write an absolute value inequality for the graph below.<br>use x for your variable.<br>​
Alenkasestr [34]

Step-by-step explanation:

The magnitude of x is equal or less than 7.

=> We have |x| <= 7.

7 0
3 years ago
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