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
Drag and drop each number to its correct position on the number line.
Stels [109]

Answer:

-⅜ is between -1 and 0

⅞ is between 0 and 1

-2½ is between -3 and -2 ( in the mid )

2½ is between 2 and 3 ( in the mid )

4 0
3 years ago
Use &lt;, &gt; , or = to compare the following decimals.
charle [14.2K]

Answer:

0.80 = 0.8 \\ 3.4 > 3.07 \\ 0.86 > 0.85 \\ 0.86 < 10.85 \\ do \: lcm \: like \: you \: are \: adding \: \\  but \: dont \: really \: add \\ the \: highest \: numerator \: is \:  \\ greater \:

8 0
3 years ago
NEED HELP ASAP.....At the 2012 Summer Olympic Games in London, in the Men's Shot Put qualifying round, the distances ranged from
jeka57 [31]

Answer:

About 6 athletes.

Step-by-step explanation:

We are concerned only with the percent of athletes that are above one standard deviation.

Between one standard deviation and two standard deviations, there is 13.6% of the athletes.

From 2 to 3, there is 2.1%. Above 3, there is 0.2%.

The sum of those percentages is 15.9% of 40 = 0.159 · 40 = 6.36 or about 6 athletes.

Hope this helps.

6 0
3 years ago
2/5ab What are the factors of the expression? Drag all of the factors of the expression into the box. Factors −1 2 5 2 5 a b
bazaltina [42]
2/5, a, and b that is the answer
7 0
3 years ago
17c-10=4 ............................
Katarina [22]

Answer:

1.214 or 1\frac{3}{14} or \frac{17}{14}

Step-by-step explanation:

To solve this equation, first you need to the variable term isolated. You do this by adding 10 to each side. Your equation will now look like

17c = 14

Next, you will divide both sides by the 17.

Your equation now is solved, and above, I put ther three different forms for your answer: decimal, mixed number, and improper fraction.

~theLocoCoco

7 0
3 years ago
Other questions:
  • Write the fraction 2/5 as an equivalent with the given denominator 25
    8·2 answers
  • Help me please, guys <br>​
    6·2 answers
  • AB bisects CD at point B.Find CB if CD=16
    8·1 answer
  • 1. 237 + 496 =<br> 1. 600 - 321 =<br> 7. 993 - 294 =
    10·1 answer
  • I NEED HELP please my brain
    13·1 answer
  • Will mark brainliest, help me answer this question!
    6·2 answers
  • Can someone help me with this math homework please!
    6·2 answers
  • What is 2 copies of 1/6
    12·1 answer
  • For the function f(x) = −2x − 9, identify the values of f(0), f(1/2), and f(−2)
    10·2 answers
  • a six sided number cube has faces with the numbers 1 through 6 marked on them. what is the probability that a number less than 3
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!