Answer:
its actually the one on the top right
Step-by-step explanation:
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11 by 16
Explanation:
Set up two equations
2
x
+
2
y
=
54
x
×
y
=
176
Solving the first equation for x
2
x
+
2
y
−
2
y
=
54
−
2
y
this gives
2
x
=
54
−
2
y
Divide both sides by 2
(
2
x
2
)
=
54
−
2
y
2
This gives.
x
=
27
−
y
putting this value into the second equation gives.
(
27
−
y
)
×
y
=
176
multiplying across the parenthesis gives
27
y
−
y
2
=
176
subtracting 176 from both sides gives
is
27
y
−
y
2
−
176
=
0
multiplying by negative one gives
−
27
y
+
y
2
+
176
=
0
factoring this into y gives
(
y
−
11
)
×
(
y
−
16
)
=
0
Solving for both y's gives
y
=
11
,
y
=
16
Answer:
x = -2/5
x = 1
Step-by-step explanation:
5x² - 3x - 2 = 0
(5x + 2)(x - 1) = 0
⇒ 5x + 2 = 0
⇒ 5x = -2
⇒ x = -2/5
⇒ x - 1 = 0
⇒ x = 1
Answer:
When the number of sessions is equal to 10, the total cost is the same in the two plans
Step-by-step explanation:
Let
y ---> the total cost
x ---> the number of sessions
we know that
The linear equation in slope intercept form is equal to
where
m is the slope
b is the y-intercept
Planet Fitness
we have
The slope is equal to
The y-intercept or initial value is equal to
substitute
----> equation A
Gold's Gym
we have
The slope is equal to
The y-intercept or initial value is equal to
substitute
----> equation B
Equate equation A and equation B
solve for x
therefore
When the number of sessions is equal to 10, the total cost is the same in the two plans
Answer:
The option d
Step-by-step explanation:
find the intersection with x and y
https://tex.z-dn.net/?f=x%3D0%0A
https://tex.z-dn.net/?f=0%2By%3D-9%20%5Clongrightarrow%20y%3D-9%0A
and https://tex.z-dn.net/?f=y%3D0%0A
https://tex.z-dn.net/?f=x%2B0%3D-9
we get the coordinates
https://tex.z-dn.net/?f=(0%2C-9)%2C%20(-9%2C0)
and the same process for another equation
https://tex.z-dn.net/?f=4*(0)%2By%3D-19%20%5Clongrightarrow%20y%3D-19%5C%5C%0A4*x%2B0%3D-19%20%5Clongrightarrow%20x%3D%5Cfrac%7B-19%7D%7B4%7D%20%5C%5C%5C%5C%0A(0%2C-19)%2C%20(%5Cfrac%7B-19%7D%7B4%7D%2C0)%20
and these coordinates are those expressed in the d graph