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Alenkinab [10]
3 years ago
15

On a very cold morning, it was -8°F. As the day went on, the temperature rose 2 degrees each hour. Which equation shows the temp

erature over time?
A) y = -2x + 8


B) y = -2x – 8


C) y = 2x + 8


D) y = 2x – 8
Mathematics
2 answers:
xxTIMURxx [149]3 years ago
6 0

Answer:

<h2>D) y = 2x – 8</h2>

Step-by-step explanation:

In this problem, the initial condition is -8, because the start of the day, the morning, was -8 °F. This characteristic is really important, initial condition are expressed as y-interception, which is the constant term of a linear function.

So, in this case, the viable answers are B or D, it depends on the ratio of change.

The problem states that as the day went on, the temperature ROSE 2 degrees each hour, that expressed an increasing behaviour of 2. Mathematically, that means the independent variable must be negative.

Therefore, the right answer is D., because it has a positive rate of change, and it has -8 as y-interception or initial condition.

Oxana [17]3 years ago
4 0

you start with -8 then rise 2 per hour, so this would be +2x.

D. y = 2x - 8

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It would be the second graph since the coefficient is negative
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the graph of f(x) is shown below. what are the values of a, b, c, and d in the definition of f(x) below? (graph and definition o
Otrada [13]

Answer:

Step-by-step explanation:

For the given piecewise function,

Let the equation of the segment AB is,

y = ax + 7 where x < -2

Since a point (-2, 3) lies on the given line,

3 = a(-2) + 7

3 - 7 = -2a

a = 2

Therefore, f(x) = 2x + 7 when x < -2

For the segment BC,

f(x) = 3 where -2 ≤ x ≤ 2

For the segment CD,

f(x) = bx + 9

Since a point (2, 3) lies on this segment,

f(2) = 2b + 9 = 3

2b = 3 - 9

b = -3

Therefore, equation of segment CD will be,

f(x) = (-3)x + 9   where x > 2

7 0
2 years ago
Help! Please!
algol [13]

Answer:

$22.11. $23.41. $23.79.

Step-by-step explanation:

2.36 ÷ $32.00 = 0.0735. Sales tax was charged by the department store at a rate of 7.375%.

Answer: Mr. Smith should pay the department store $32.00 plus $2.36 in sales tax for a total bill of $34.36.

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6 0
2 years ago
Simplify the expression: <br> a.<br> b^2+49–(b–7)^2<br> b.<br> 2a+6b)^2–24ab
klemol [59]
Part a b2+49−(b−7)2

Distribute:

=b2+49+−b2+14b+−49

Combine Like Terms:

=b2+49+−b2+14b+−49

=(b2+−b2)+(14b)+(49+−49)

=14b

Answer:

=14b
part b

(2a+6b)2−24ab

Distribute:

=4a2+24ab+36b2+−24ab

Combine Like Terms:

=4a2+24ab+36b2+−24ab

=(4a2)+(24ab+−24ab)+(36b2)

=4a2+36b2

Answer:

=4a2+36b2


5 0
3 years ago
The point K lies on the segment JL.
vlabodo [156]

Answer:

  • ( -9, 5)

Step-by-step explanation:

We can observe that x coordinate increases on line segment JL from J and y coordinate decreases.

<u>The difference in x:</u>

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<u>The difference in y:</u>

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<u>Point K is at 3/7 distance from J, so it's coordinates will be:</u>

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So K = ( -9, 5)

6 0
3 years ago
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