Sarah spends 1/6 hour vacuuming her mom's car. She spends 4 times as long washing the car. Then she spends twice as long waxing
1 answer:
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For the function
and
both yield the same result.
Detailed breakdown:
The functions involved are
Step 1:
Insert in
to find the value of
.
Insert in
to find the value of
.
Step 2:
Insert in
to obtain the value of
.
Step 3:
Replace in
to find the value of
.
Step 4:
Insert in
to find the value of
.
Also, replace in
to obtain the value of
.
Step 5:
Insert in
to obtain the value of
.
Replace in
to find the value of
.
Step 6:
Insert into
to find the value of
.
Also, substitute in
to obtain the value of
.
Step 7:
According to the provided condition .
(a). Insert and
into the previously mentioned equation.
(b). Multiply through by on both sides.
(c). Move the term to the left side of the equation.
(d). Divide the middle term so that its sum equals 5 and the product equals 6.
From the analysis above, it is noted that for both functions
and
yield the same outcome.
Using a direct approach:
The table representing function and
is included below.
For more information:
1. What is the y-intercept of the quadratic function f(x) = (x – 6)(x – 2)? (0,–6) (0,12) (–8,0) (2,0)Answer:
X ball bearings can be produced in 1 hour and 20 minutes
Step-by-step explanation:
Proportions
Proportions serve as an essential method for solving various common challenges. We understand that:
Company ABC manufactures X ball bearings in 3 hours.
Company DEF produces X ball bearings in 4 hours.
Company GHI generates X ball bearings in 6 hours.
In a single hour, each company is capable of producing:
ABC: X/3 ball bearings
DEF: X/4 ball bearings
GHI: X/6 ball bearings
By collaborating, they can produce
ball bearings. Operating together
If their output is 3/4 of a ball bearing in one hour, then it will take
hours to create one complete ball bearing. This translates to 1 hour and 20 minutes.
X ball bearings can be produced in 1 hour and 20 minutes