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Juli2301 [7.4K]
3 years ago
6

Aubrey walks to the park from her home, it is 3 blocks south and 4 blocks west using city streets. How far did she have to walk

following the street route?
Mathematics
1 answer:
Mrrafil [7]3 years ago
5 0

Answer:

7 blocks i think

Step-by-step explanation:

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***********BRAINLIEST IF 2 PPL ANSWER*******Thank u!!!
Elden [556K]

Problem 1

Answer: year 4

---------------------

The break-even point is when the profit is $0. You neither earn money nor lose it.

Plug in p(x) = 0 and solve for x

p(x) = x^3 - 4x^2 + 5x - 20

x^3 - 4x^2 + 5x - 20 = p(x)

x^3 - 4x^2 + 5x - 20 = 0 ... replace p(x) with 0

(x^3 - 4x^2) + (5x - 20) = 0

x^2(x - 4) + 5(x - 4) = 0

(x^2+5)(x - 4) = 0

x^2+5 = 0 or x-4 = 0

The equation x^2+5 = 0 has no real solutions; however x-4 = 0 solves to x = 4.

So plugging x = 4 into p(x) will lead to p(x) = 0. Meaning that the company breaks even at year 4.

==========================================================

Problem 2

Answer: choice B) between 2.5 and 3.0; between 4.0 and 4.5

---------------------

Look at the f(x) column. Specifically we are looking for the times when the numbers change from positive to negative, or vice versa. Somewhere in between this change, y will have to equal 0 at some point (at least once). Note how in row 2 and row 3, we have f(x) = 1.1 change to f(x) = -0.8; so the change is from positive to negative.

This means f(x) = 0 for some x value between x = 2.5 and x = 3.5. Also, the same kind of logic applies for the last two rows of the table as well pointing to another root between x = 4.0 and x = 4.5 (check out the attached images)


5 0
3 years ago
Read 2 more answers
How many solutions does the following equation have 4 (3 + x) = 8 + 4x​
OLga [1]
It only has one solution.
5 0
3 years ago
Read 2 more answers
Determine whether the relation represents a function. If it is a function, state the domain and range.
oee [108]

Answer: Yes it is a function

Step-by-step explanation:

3 0
3 years ago
After heating up in a teapot, a cup of hot water is poured at a temperature of
xxTIMURxx [149]

Answer:

  • k ≈ 0.060
  • T(4) ≈ 178 °F

Step-by-step explanation:

The desired formula parameters for Newton's Law of Cooling can be found from the given data. Then the completed formula can be used to find the temperature at the specified time.

__

<h3>Given:</h3>

  T(t)=T_a+(T_0-T_a)e^{-kt}\\\\T_a=68,\ T_0=208,\ (t,T)=(3,185)

<h3>Find:</h3>

  k

  T(4)

<h3>Solution:</h3>

Filling in the given numbers, we have ...

  185 = 68 +(208 -68)e^(-k·3)

  117/140 = e^(-3k) . . . . . subtract 68, divide by 140

  ln(117/140) = -3k . . . . . . take natural logarithms

  k = ln(117/140)/-3 ≈ 0.060

__

The temperature after 4 minutes is about ...

  T(4) = 68 +140e^(-0.060·4) ≈ 68 +140·0.787186

  T(4) ≈ 178.205

After 4 minutes, the final temperature is about 178 °F.

3 0
3 years ago
Select the points that are solutions to the system of inequalities. Select all that apply. A(–2, 0)B (0, 10)C(–10, 10)D(1, 2)
Ratling [72]

Answer:

b and c

Step-by-step explanation:

i took the test

8 0
3 years ago
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