Answer:
The number is 8.
Step-by-step explanation:
4(x+(-3))-4=2x
4(x-3)-4=2x
4x-12-4=2x
4x-2x-16=0
2x-16=0
2x=0+16
2x=16
x=16/2
x=8
Answer:
a would be slope and b would be y-intercept.
m and b are usually the ones a lot of people use. m is slope and b is y-intercept.
130, - 12, 56.1, 11.2
these are all arithmetic sequences with n th term formula
= 
+ (n - 1 )d
where d is the common difference and the first term
(1)
d = 10 - 4 = 4 - (- 2 ) = 6 and = - 14
= - 14 + (24 × 6) = - 14 + 144 = 130
(2)
d = 14 - 16 = 16 - 18 = - 2 and = 22
= 22 + (17 × - 2 ) = 22 - 34 = - 12
(3)
= 2.2 + (49 × 1.1) = 2.2 + 53.9 = 56.1
(4)
= - 4.2 + (11 × 1.4 ) = - 4.2 + 15.4 = 11.2
Answer:
12<x<16
Step-by-step explanation:
if c^2 > a^2 + b^2
then the triangle is obtuse
since 20 is the longest side
20^2 > x^2 + (x+4)^2
simplify
400 > x^2 + (x+4)(x+4)
FOIL
400 > (x^2 ) + (x^2 + 4x+4x+16)
combine like terms
400 > (2x^2 + 8x+16)
divide by 2
400/2 > 2x^2 /2 + 8x/2 + 16/2
200 > x^2 + 4x +8
subtract 200 from each side
0> x^2 + 4x +8-200
0> x^2 +4x-192
Factor
0 > (x-12) ( x+16)
using the zero product property
0> x-12 0 > x+16
12>x -16>x
x must be greater than 12
we know the longest side is 20
x+4 < 20
subtract 4
x< 16
x>12 and x < 16
12<x<16
Answer:
$1799
Step-by-step explanation:
We simply work backwards and write out an equation.
Lets call the initial price P.
First we have 15% off the initial price P which means that we are only paying 85% of the initial price: .85*P.
Next we use a coupon for 20% off the reduced price which means we only pay 80% of the reduced price: .80 * (.85 * P)
We know that the price paid was $1223.32, set that equal to .80 * (.85 * P)
and we find that P is $1799
