Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations. * Brainliest for answers and explanations *

• (1) x= sqrt t, y=4t+3; 0 ≤ t ≤ 4

A) y = - 3x ^ 2 + 19; 0 ≤ x ≤ 2

B ) y = - 3x + 19; 0 ≤ x ≤ 2

C) y=4x^ 2 +3; 0 ≤ x ≤ 2

D ) y=3x^ 2 +4; -1 ≤ x ≤ 2

• (2) x=2t, y=t+2; -2 ≤ t ≤ 3

A ) y=x ^2 + 1; - 2 ≤ x ≤ 2

B ) y= 1/2x -2; -∞
C ) y= 1/2x +2; -4 ≤ x ≤ 6

D ) y=-2x+2; -∞

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~

m=11 hope this

step-by-step explanation: