Answer (x,y) (3, -2)
Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we
can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)
The tax rate is 5%
Hope this helps!
Answer:
y = 4; g(7) = 4
Step-by-step explanation:
The meaning of g(7) is wherever you see an x in g(x) you put a 7. In this case you are being told that x = 7
So go to 7 on the x axis, go up until you hit the blue line which is g(x) and then read what it says on the y axis. It shows 4 and that is your answer.
So first of all we can't start by changing them both into improper fractions
So it would be:
5/2 divided by 13/8
From there you would do 5/2 * 8/13 which could convert to
5/1 * 4/13 which would be 20/13
Answer:
\large \boxed{\textbf{Bowl = 300 g; cup = 200 g}}
Step-by-step explanation:
Let b = the mass of a bowl
and c = the mass of a cup
We have two conditions:

Calculations:

Check:

OK.