Two runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and
2 answers:
Response:
The accurate answer is the last choice, specifically
Detailed explanation:
The initial runner has $112 saved, received a $45 gift from a friend, and intends to save $25 monthly. Consequently, after m months, this first runner's account balance will total:
The second runner starts with $50 and will put away $60 each month. Therefore, the second runner's account total after m months works out to:
To find at what point both account totals align, the equation established is:
By applying the commutative property to the left side, we obtain:
Thus, it is evident that the last option is the correct response.
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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)
Take note of the image below
the riverbank requires no fencing due to the river's presence
so the pen's perimeter can be calculated as 2w + l, or w + w + l
thus
derive P(w), set it to zero, locate any critical points, and perform a first-derivative test for minimum values.
the riverbank requires no fencing due to the river's presence
so the pen's perimeter can be calculated as 2w + l, or w + w + l
thus
derive P(w), set it to zero, locate any critical points, and perform a first-derivative test for minimum values.