9514 1404 393
Answer:
Table B
Step-by-step explanation:
If a table is to represent a function, it cannot have any repeated input values.
Table A repeats the input value 5.
Table C repeats the input value 1.
Table D repeats the input value 4.
Table B represents a function.
5/12=10/24 and 7/8= 21/24, add those and you will get 31/24 subtract 31 from24 and get 7 your new fraction is 1 7/24 that is 5/12 + 7/8 in simplest form
5(x - 3) + 6 = 5x - 9 has no solution
<em><u>Solution:</u></em>
We have to find the number of solutions for the given equation
Given equation is:
5(x - 3) + 6 = 5x - 9
Multiply the terms inside with bracket with constant outside the bracket
5x - 15 + 6 = 5x - 9
Add the constants in left hand side of equation
5x - 9 = 5x - 9
If the coefficients are the same on both sides, then the sides will not equal, therefore no solutions will occur.
Here, 5x - 9 = 5x - 9
The coefficients are same in both sides of equation
Therefore, the equation has no solution
Answer:
We start with y = g(x) = f(x)
First, we have a vertical stretch by a factor of 2.
A vertical strech by a factor of A will be g(x) = A*f(x)
then in this case A = 2, so we have g(x) = 2*f(x)
Now we have it shifted left by 8 units.
We know that f(x - A) shift right the graph by A units (A positive), here A = 8.
then we have: g(x) = 2*f(x - 8)
Now we want shift up 3 units, if we have y = f(x) we can shift the graph up by A units as: y = g(x) + A (for A positive)
Then we have: g(x) = 2*f(x - 8) + 3
now, our function was f(x) = Log₅(x)
then g(x) = 2*log₅(x - 8) + 3.
Answer:
The angle between the building and the ladder
6.9°
Step-by-step explanation:
Given data
AB = 50 ft = length of the building
BC = 6 ft
= Angle between the ladder & building
From Δ ABC


6.9°
This is the angle between the building and the ladder.