Hello :
the tangent has same slope of the line 16x -y +5 = 0 because parallel.
y = 16x + 5
the slope is : 16
but : f'(x) = 16
f'(x) = 16x^3 - 16x +16
solve : 16x^3 - 16x +16 = 16
x^3 - x +1 =1
x^3 - x = 0
x(x² - 1 ) =0
x(x -1 )(x +1) =0
x=0 or x-1 =0 or x +1= 0
x=0 or x = 1 or x = -1
if : x = 0 : y = 4(0)^4 -8(0)^2+16(0) +7 =7
if : x =1 : y = 4(1)^4 -8(1)^2+16(1) +7 = 19
if : x = -1 : y = 4(-1)^4 -8(-1)^2+16(-1) +7 = -13
<span>the points : A(0,7) , B(1 , 19) , c ( -1 , -13)</span>
Answer:
25477.05
Step-by-step explanation:
Based on the given conditions, formulate: 29100 x (3% + 1) x (1 - 15%)
Calculate the sum or difference: 29100 x 1.03 x 0.85
Calculate the product or quotient: 25477.05
Answer:
(x, y ) → (x - 6, y - 2 )
Step-by-step explanation:
Given
P(- 10, 1 ) → P'(- 16, - 1 )
Note that the x- coordinate of the image is 6 less than the original and
The y- coordinate of the image is 2 less than the original, thus
(x, y ) → (x - 6, y - 2 )
Answer:
B) The population is increasing by 102.2% each year.
A) 720,500 represents the initial amount of people in January 1980 and 1.022 represents the increase factor that multiplies to the amount.
Step-by-step explanation:
1.022 times 100 equals 102.2% (a number in the decimals place times 100 give you the percent).
<span> y = 24x + 700 would be an accurate answer
Hope this helps!</span>