Answer:
The new graph has a steeper slope and a y-intercept of 8.
Step-by-step explanation:
From Analytical Geometry, we define a straight line by following first order polynomial (linear function):
(1)
Where:
- Independent variable.
- Dependent variable.
- y-Intercept.
- Slope.
And the slope represents the change in dependent variable (
) divided by the change in independent variable (
). That is:
If 
and 
, then the new line is steeper with respect to the original line.
Let 
, its slope and y-intercept are 5 and 0, respectively. If slope is changed into 9 and y-intercept becomes 8, then the new graph has a steeper slope and a y-intercept of 8.
As it is, in accordance with the priorities of the operators (or the PEMDAS rule) the equation without parentheses mean
<span>(2/3)x+1=(1/6)x-7
I do not suppose you mean the above, since the solution is relatively trivial.
I suppose you actually mean
</span><span>2/(3x+1)=1/(6x-7)
in which case you would cross-multiply:
2(6x-7)=(3x-1)
and expand/distribute
12x-14=3x-1
isolate x and solve
12x-3x=-1+14
9x=13
x=13/9
If you mean the first form of equation without parentheses, my apologies.</span>
Answer:
An algebraic expression is an expression built up from constants,variables, and the algebraic operations.for example:3x^2-2xy+c is an algebraic expression.
Answer:
C. (-1, 3)
Step-by-step explanation:
Label the 2 equations:
5y= 7x +22 -----(1)
x= -6y +17 -----(2)
Substitute (2) into (1):
5y= 7(-6y +17) +22
5y= -42y +119 +22 <em>(</em><em>Expand</em><em> </em><em>bracket</em><em>)</em>
5y= -42y +141 <em>(</em><em>Simplify</em><em>)</em>
42y +5y= 141 <em>(</em><em>+</em><em>42y</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
47y= 141
y= 141 ÷47 <em>(</em><em>÷</em><em>4</em><em>7</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
y= 3
Substitute y= 3 into (2):
x= -6(3) +17
x= -18 +17
x= -1
Thus, the solution is (-1, 3).
Answer:
when you subtract a negative number the two negative signs cancel out and it turns to a positive number
Step-by-step explanation:
in -6 - (-2)
the two - signs cancel out so it ends up being
-6+2 which is why it equals -4
