Answer:
y=2x-3
Step-by-step explanation:
The slope-intercept form of the original equation would be y=3/8−x/2
Therefore, the slope of the perpendicular line would be m=2
Then, the y-intercept would be 7=(2)x(5)+a
A=-3
Answer:
y=2x+3
If <em>x</em> + 1 is a factor of <em>p(x)</em> = <em>x</em>³ + <em>k</em> <em>x</em>² + <em>x</em> + 6, then by the remainder theorem, we have
<em>p</em> (-1) = (-1)³ + <em>k</em> (-1)² + (-1) + 6 = 0 → <em>k</em> = -4
So we have
<em>p(x)</em> = <em>x</em>³ - 4<em>x</em>² + <em>x</em> + 6
Dividing <em>p(x)</em> by <em>x</em> + 1 (using whatever method you prefer) gives
<em>p(x)</em> / (<em>x</em> + 1) = <em>x</em>² - 5<em>x</em> + 6
Synthetic division, for instance, might go like this:
-1 | 1 -4 1 6
... | -1 5 -6
----------------------------
... | 1 -5 6 0
Next, we have
<em>x</em>² - 5<em>x</em> + 6 = (<em>x</em> - 3) (<em>x</em> - 2)
so that, in addition to <em>x</em> = -1, the other two zeros of <em>p(x)</em> are <em>x</em> = 3 and <em>x</em> = 2
Answer:
<h2><u>
36x
/y
</u></h2>
Step-by-step explanation:
Hope this helps
<h2><em>
:)</em></h2>
Answer:
2(2x+5) (x+1) = 2(x+1)(2x+5)
Step-by-step explanation:
4x^2 +14x+10
Factor out the 2
2(2x^2 +7x+5)
2(2x+5) (x+1)
You need to keep the 2 that you factored out
2(2x+5) (x+1) = 2(x+1)(2x+5) by the Commutative Property of Multiplication
Answer:
12 boys and 18 girls
Step-by-step explanation:
the ratio from boys to girls is 2 to 3
12/2=6
18/3=6
both equal 6 meaning that both are proportional meaning that A is the correct answer
