7 tulips and 5 daffodils. An easy way to work this out is to list the multiples of both 5 and 4 until you get up to 55. Then you can find one number from each list which would add up to 55( which in this case would be 35 and 20) 35 being 7th in the 5 times table and 20 being 5th in the 4 times table.
Answer:
Step-by-step explanation:
A = L * W
A = 22
L = 2x + 1
W = 3x + 1
now we sub
22 = (2x + 1)(3x + 1)
22 = 6x^2 + 2x + 3x + 1
22 = 6x^2 + 5x + 1
6x^2 + 5x + 1 - 22 = 0
6x^2 + 5x - 21 = 0 <======part A
(3x + 7)(2x - 3) = 0
3x + 7 = 0 2x - 3 = 0
3x = -7 2x = 3
x = -7/3 x = 3/2
I believe that x = -7/3 is an extraneous solution because when u plug it into ur length and width u get a negative number....and I dont think the sides of ur rectangle have negative values, however, it does work in ur equation and it equals 22 when multiplied...so I am not 100% sure
length = 2x + 1.......2(3/2) + 1........3 + 1 = 4
width = 3x + 1......3(3/2) + 1......9/2 + 1......9/2 + 2/2 = 11/2 (or 5.5) meters <===
Answer:
85° and 95°
Step-by-step explanation:
A linear pair of angles sum to 180° , then
3x + 10 + 4x - 5 = 180
7x + 5 = 180 ( subtract 5 from both sides )
7x = 175 ( divide both sides by 7 )
x = 25
Then
3x + 10 = 3(25) + 10 = 75 + 10 = 85°
4x - 5 = 4(25) - 5 = 100 - 5 = 95°
Answer:
0.08
Step-by-step explanation:
G ( x ) = 2 - ( x - 7 )²
g ( x ) = 2 - ( x² - 14 x + 49 )
g ( x ) = 2 - x² + 14 x - 49
g ( x ) = - x² + 14 x - 47
The maximum of the function is at:
x= - b / 2 a
x = - 14 / ( - 2 ) = 7
Therefore the function is increasing form x ∈ ( - ∞, 7 ) and decreasing for x ∈ ( 7, +∞ ).
Answer:
C. increasing, x < 7; decreasing x > 7.