Answer:
Part a) GK=(7x+1)
Part b) GH=5 units and JK=8 units
Step-by-step explanation:
Part a) what algebraic expression represents GK?
we know that
GK=GH+HJ+JK
step 1
Find GH
we have
GH=GJ-HJ
substitute the given values
GH=(2x+3)-x=x+3
step 2
Find JK
JK=HK-HJ
substitute the given values
JK=(6x-2)-x=5x-2
step 3
Find GK
GK=GH+HJ+JK
we have
GH=x+3
HJ=x
JK=5x-2
substitute
GK=(x+3)+x+(5x-2)
GK=(7x+1)
Part b) If GK=15, what are GH and JK?
we know that
GK=(7x+1)
For GK=15
substitute the value of GK and solve for x
15=(7x+1)
7x=15-1
7x=14
x=2
<u><em>Find the value of GH</em></u>
GH=x+3
substitute the value of x
GH=2+3=5 units
<u><em>Find the value of JK</em></u>
JK=5x-2
substitute the value of x
JK=5(2)-2=8 units
1.40 or 1.4 would be the square root of 2
Answer:
105%
Step-by-step explanation:
We'll analyse the question one step at a time
Let the original price be x.
Let y be the 40% increase

Express as decimal


Let z be the 25% off sale

Express as decimal



Substitute 1.40s for y


Express 1.05 as a fraction

<em>The percentage is 105%</em>
Answer:
the y intercept is 4
Step-by-step explanation:
f(x)=4-5x
rewrite
y = -5x+4
this is in the form y= mx+b where b is the y intercept
b = 4
3 over 5 x minus 15 = 6 over 5 x plus 12
3/5x - 15 = 6/5x +12
-3/5x+3/5x-15=6/5x-3/5x+12 subtraction property
-15=3/5x+12 simplified
-12-15=3/5x+12-12 subtraction property
-27=3/5x simplified
(5/3)(-27)=3/5 (5/3)x multiplicative inverse
-45=x