38/6 = 19/3
divide 19 by 3 :-
= 6.333....
The 3 is recurring
the coordinates where the bridges must be built is
and
.
<u>Step-by-step explanation:</u>
Here we have , a road follows the shape of a parabola f(x)=3x2– 24x + 39. A road that follows the function g(x) = 3x – 15 must cross the stream at point A and then again at point B. Bridges must be built at those points.We need to find Identify the coordinates where the bridges must be built. Let's find out:
Basically we need to find values of x for which f(x) = g(x) :
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Value of g(x) at x = 3 : y=3x -15 = 3(3)-15 = -6
Value of g(x) at x = 6 : y=3x -15 = 3(6)-15 = 3
Therefore , the coordinates where the bridges must be built is
and
.
Answer:
B
Step-by-step explanation:
Well since it is arthimetic sequence we know the formula
We know d is difference between second term and first so it will be -5- (-12)= -5+12= 7

the domain of this is 1,2,3,4.......
range is -12,-5,2,9.......
Therefore answer is B.
Answer:
$0.276
Step-by-step explanation:
Given data
Bill= $9.20
Tax= 3%
Tip= 19%
Let us find the amount of the tax and the tip
Tax
=3/100*9.20
=0.03*9.2
=$0.276
Amount after sales tax
= 0.276+9.20
=$9.476
Tip
=19/100*9.476
=0.19*9.476
=$1.80044
Therefore the sales tax
=$0.276
Answer:
t=-5
Step-by-step explanation:
-3=3t+4
-1=t+4
-5=t