1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lora16 [44]
2 years ago
5

An icicle drips at a rate that can be represented by the function f(x) = −x2 + 8x − 7, where 0 ≤ x ≤ 10 and x is the number of h

ours after the sun has risen. When f(x) is a negative number, the icicle is not dripping. Determine the values when the icicle starts and stops dripping.
Mathematics
1 answer:
mart [117]2 years ago
3 0

Find when f(x) = 0. By factorizing, we have

-x² + 8x - 7 = - (x - 7) (x - 1) = 0

so either x - 7 = 0 or x - 1 = 0, or simply x = 1 or x = 7.

Split the domain into three intervals, and check the sign of f(x) over each interval at some test point in the interval. The sign will tell you when the icicle is dripping (positive) or not (negative).

• [0, 1) : at x = 0, we have f(0) = -7 < 0

• (1, 7) : at x = 2, we have f(2) = 5 > 0

• (7, 10] : at x = 8, we have f(8) = -7 < 0

This tells us that the icicle is not dripping when 0 ≤ x < 1, begins to drip when x = 1, drips for the duration of 1 < x < 7, stops dripping when x = 7, and keeps on not dripping when 7 < x ≤ 10.

You might be interested in
How to solve this kind of question? <br><br><br> Show steps!
kirill [66]

Answer:

$130.34

Step-by-step explanation:

In this example, the total amount Myra has to pay is (original cost) + (total interest). This is because she has to pay interest because she bought clothes. Her total cost for the clothes is then 124.96+5.38=130.34

6 0
3 years ago
Out of 100 cars on a used car lot, 20 cars have manual transmissions , 50 cars have air conditioning , and 8 cars have both .
slega [8]

Answer:  whats the question?

Step-by-step explanation:

3 0
3 years ago
Find the value of x in the parallelogram
const2013 [10]

Answer:

x=50

Step-by-step explanation:

we know that

If LM is the midsegment

then

LM=\frac{1}{2}(AB+DC)

substitute the given values

4x+3=\frac{1}{2}(x+8+348)

Solve for x

8x+6=(x+356)

8x-x=356-6

7x=350

x=350/7

x=50

3 0
3 years ago
Use the probability distribution graph to answer the question.
vivado [14]

Answer:

5

Step-by-step explanation:

So we want to find the value of x where the area to the left of it is equal to 0.6.

Let's start by finding the area of the first triangle, between x=0 and x=4.

A = 1/2 bh

A = 1/2 (4) (0.2)

A = 0.4

So we know a > 4.  What if we add the area of that rectangle?

A = 0.4 + bh

A = 0.4 + (1) (0.2)

A = 0.6

Aha!  So a = 5.

7 0
3 years ago
Compute the total and annual return on the following investment Two years after paying 53500 for shares in a startup company you
wel

Answer:

-46.91%

Step-by-step explanation:

Given:

Cost of buying the shares = $53,500

Selling cost of the shares = $3,300

Number of years = 2

Since the selling cost is less than the buying cost, therefore the statement for the loss can be verified

Now,

The loss = Selling cost - cost of buying = $3,300 - $53,500 = - $50,200

thus, the loss per year = \frac{\textup{50,200}}{\textup{2}} = -$25100

Hence,

Rate of return = \frac{\textup{Loss per year}}{\textup{Cost of buying}}\times100

or

Rate of return = \frac{\textup{-25100}}{\textup{53,500}}\times100

or

Rate of return = -46.91%

4 0
3 years ago
Other questions:
  • When is it most appropriate to use the completing the square method to solve a quadratic equation?
    13·1 answer
  • 10 less than 222 is_.
    14·2 answers
  • Which inequality is the same as 7-2/b &lt;5/b
    11·2 answers
  • How much more rain fell in May than in April <br><br> May is 4 1/4 &amp; April is 2 5/8
    6·1 answer
  • If b = 7, what is the value of the expression 2(10 – b)? A. 4 B. 6 C. 24 D. 34
    12·2 answers
  • What is the value of x in -4(x+3)=8<br><br> please help me quickly !!
    13·1 answer
  • PLEASE HELP ME!!! TIMED TEST!!! WILL REPORT IF YOU GIVE A LINK!!!
    6·2 answers
  • pleaseeee helppp !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
    15·2 answers
  • This trapezium is drawn on a centimetre grid.<br>Find the area of the trapezium.<br>​
    11·1 answer
  • In which of the following do you expect the correlation coefficient to be negative?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!