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Cerrena [4.2K]
3 years ago
8

(-3x)²-(3x-2)²-6*(2x-1.5)

Mathematics
1 answer:
Ilya [14]3 years ago
4 0
Without the instructions, I can only assume that you are to "expand the given expression."

Following order of operations rules requires that (3x-2)^2 and -6(2x-1.5) be evaluated first.

(3x-2)^2 = 9x^2 - 12x + 4   and    -6(2x-1.5) = -12x + 9

Then we have 9x^2 - (9x^2 - 12x + 4) -12x + 9

the 9x^2 terms cancel, leaving  us with 12x - 4 - 12x + 9 = 5 (answer)

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Can someone give me work for the estimate
pogonyaev
If a rational number after dot "like 5.52") is smaller than 5(half) , then you assume the first number before that dot stuff :p
For example:

-》11,2 =11
-》 4.19= 4
-》2,2 = 2
etc

But if it's bigger than 5 or equals 5 , u assume the first number before that dot stuff +1
For example :
-》5.5 =6
-》3.9=4
-》225.7= 226
etcetc

so the answer is:;;

5.52 --》 52 is bigger than a half (50) so ur gonna assume like 6

1,6 --》(it equals with 1.60 too)
6 is bigger than 5 so ur gonna assume 2

6÷2 =3

Hope it helps! :))
#MissionExam001

7 0
3 years ago
Convert the angle 0=17pie/18 radians to degrees.<br> Express your answer exactly.
Anettt [7]
170° is the answer I got hope it helps
4 0
3 years ago
Read 2 more answers
Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2 at (4, 4, 7) and use it to approximate the number 4.022
miss Akunina [59]

Answer:

80.66

Step-by-step explanation:

L\left( x \right) = f\left( a \right) + f'\left( a \right)\left( {x - a} \right)

f(x, y, z) = x^2+y^2+z^2

Since we have three variables,

L(x, y,z) = f(a, b,c) + f_x (a, b,c) (x - a) + f_y (a, b,c) (y - b) +f_z(a,b,c)(z-c)

f(4, 4, 7) = 4^2+4^2+7^2=81

f_x (a, b,c)=2x=2*4=8\\f_y (a, b,c)=2y=2*4=8\\ f_z(a,b,c)=2z=2*7=14

Therefore:

L(x, y,z) = 81+ 8(x - 4) + 8 (y - 4) +14(z-7)

Using the above:

f(4.02, 3.99, 6.97) =81+ 8(4.02 - 4) + 8 (3.99 - 4) +14(6.97-7)=80.66.

The approximation of  4.02^2 + 3.99^2 + 6.97^2 is 80.66000.

3 0
3 years ago
20% of Aussies have blue
notsponge [240]

Answer:

20

Step-by-step explanation:

Step 1: 4 = 20% × Y

Step 2: 4 = 20/100 × Y

Multiplying both sides by 100 and dividing both sides of the equation by 20 we will arrive at:

Step 3: Y = 4 × 100/20

Step 4:Y = 4 × 100 ÷ 20

Step 5: Y = 20

6 0
3 years ago
Write 149,597,870,700 in scientific notation with 3 significant figures
Lynna [10]

Answer:

1.50 x 10^11.

Step-by-step explanation:

There 11 digits after the 1 so it is:

1.50 x 10^11.

(1495  to 3 s. f. is 150)

8 0
2 years ago
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