A 26-kilometer section of a highway is designated as a scenic byway. New signs will be placed at the beginning and end of this section and at every 0.5 Km in between. How many new signs are needed?

new signs are needed.

Step-by-step explanation:

Given: A -kilometer section of a highway is designated as a scenic byway. New signs will be placed at the beginning and end of this section and at every Km in between.

To find: How many new signs are needed?

Solution:

We have,

A -kilometer section of a highway is designated as a scenic byway.

New signs will be placed at the beginning and end of this section and at every Km in between.

So, there are signs placed, one at the beginning and one at the end.

Now, in between these signs  there will be   signs.

Hence, the total new signs that are needed is .

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

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!