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
)
My estimated answer for 1 is x=1.59 or x=-1.26 and my exact answer is (in word form) x= 1 plus or minus the square root of 73 over 6. my estimated answer for 2 is x=-0.34 or x=1.74 and my exact answer (in word form) is x= -7 plus or minus the square root of 109 over -10. I took a picture of my work and hopefully you can read it
Answer:
3.39 + 0.59x
Step-by-step explanation:
Cost of a dish of ice cream = $3.39
Cost of toppings = $0.59 each
x = number of toppings
which expression can be used to determine the total charge in dollars, for a dish of ice cream with x toppings
Total charge for a dish of ice cream with x toppings = 3.39 + 0.59x
The expression is 3.39 + 0.59x
Answer:
9:5
Step-by-step explanation:
- 112 - 40 = 72. 112 represents the total time, but you are comparing music to commercials, so you have to subtract the commercial time from the total time.
- Find the GCF of 72 and 40, which is 8.
- Divide 72 and 40. The simplified ratio is 9:5.
Substitute -2 in for x and get (9)^-2
Flip the equation so that the exponent is positive and get 1/9^2
Work it out 1/(9*9) = 1/81
