Answer:
8 3/7
Step-by-step explanation:
divide 60 by 7 and it goes 8 times with 3 leftover
The equivalent expression is 10x+5y-15z
The graph that matches the given equation is y≥x-1 is Graph A.
Option: C.
<u>Step-by-step explanation:</u>
The given equation y≥x-1 is a linear inequality equation.
Graphing Linear Inequalities differs from graphing regular linear equations. That is it has certain rules to be followed to draw the graph.
- First, rearrange the equation as y in the left and other terms in the opposite side.
- Check for the line: y= , y≤ and y≥ comes with straight line where as y< and y> comes with a dotted line.
- Shading: If y> greater than or y≥ greater than or equal is present then the space above the line has to be shaded. If y< less than or y≤ less than or equal is present then the space below the line has to be shaded.
For the given equation y≥x-1,
The line will be solid passing through (0,-1) and (3,2) since it has y≥. Also, the region above the line is shaded.
So the graph A is the graph that matches the equation y≥x-1.
Answer:
Option D In step 4 Keith should have subtracted 5 from each side
Step-by-step explanation:
step 1
we have
f(x)=7x+5 -----> given
step 1 is correct
step 2
Change f(x) to y
y=7x+5
so
step 2 is correct
step 3
Exchange x for y and y for x
x=7y+5
so
step 3 is correct
step 4
Subtract 5 each side
x-5=7y+5-5
x-5=7y
<u><em>step 4 is not correct</em></u>
step 5
Divide by 7 each side
(x-5)/7=y
step 6
Change y to g(x)
(x-5)/7=g(x)
step 7
switch sides of the equation
g(x)=(x-5)/7
therefore
In step 4 Keith should have subtracted 5 from each side
I simplified it to, 2x^2 - 12+13