Answer:
a = -3/2 = -1.5
Step-by-step explanation:
(1+ax) (2+3x)³
Formula
(a+b)^3=a^3+3a^2b+3ab^2+b^3
(1 + ax) [ 2^3 + 3*2^2*3x + 3*2*(3x)^2 + (3x)^3]
(1 + ax) [ 8 + 12*3x + 6*9x^2 + 27x^3]
8 + 12*3x + <u>6*9x^2</u> + 27x^3 + 8ax + <u>36ax^2</u> + 54ax^3 + 27ax^4
coefficient of x^2 is zero
54x^2 + 36ax^2
54 + 36a = 0
36a = -54
a = -3/2
Answer:
Apply the distributive property
2x+2(4)=2x+8
Multiply 2 by 4
2x+8=2x+8
Move all terms containing x to the left and subtract 2x
2x+8-2x=8
Combine the opposite terms
2x+8-2x
Subtract 2x from 2x
0+8=8
8=8
All real number
Step-by-step explanation:
Answer:
b. For 100 additional burglaries in California one expects to see an increase of about 3 burglaries in Hawaii.
Step-by-step explanation:
The slope gives the increase in the independent variable per unit increase in the dependent variable. Hence, a reasonable interpretation for the slope would be ;
the rate of change in the number of burglaries in Hawaii per 100 unit change in number of burglaries in California is 3.
Hence, for 100 additional burglaries in California, the rate of change in the number of burglaries in Hawaii is 3.
Answer:
in. by 10 in.
Step-by-step explanation:
2 ft by 3 ft, inches is:
2 * 12 = 24 inch
3 * 12 = 36 inch
24 * 36
Thus, to make 36 into 10, we divide 36 by 3.6 to get 10:
36/3.6 = 10
To keep ratio equal, we need to divide 24 by 3.6 to get:
24/3.6 =
Thus, Third answer choice is right.
