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]
1 year 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]1 year 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
Graph the equation<br>y=-(x+2)^2+7​
ELEN [110]

Step-by-step explanation:

Distribute:

=−x2+−4x+−4+7

Combine Like Terms:

=−x2+−4x+−4+7

=(−x2)+(−4x)+(−4+7)

=−x2+−4x+3

Answer:

=−x2−4x+3

7 0
2 years ago
last year, debra opened an investment account with $7600. At the end of the year, the amount in the account had increased by 29.
-BARSIC- [3]

There are $9842 in her account at the end of last year.

Step-by-step explanation:

Given,

Amount in account = $7600

Increment by the end of year = 29.5%

Amount of increase = 29.5% of amount in account

Amount of increase = \frac{29.5}{100}*7600

Amount of increase = 0.295*7600 = $2242

The increase is $2242.

Amount after increase = 7600 + 2242 = $9842

There are $9842 in her account at the end of last year.

Keywords: percentage, division

Learn more about percentages at:

  • brainly.com/question/10414011
  • brainly.com/question/10483199

#LearnwithBrainly

5 0
3 years ago
Can someone show me how to do this?
andriy [413]
3/4 ( (-50+2)/5)
= 3/4 ( -48/5)
= 3/4 * -48/5
= -36/5
6 0
3 years ago
4, percent of a number is what fraction of that number?
Rama09 [41]

Answer:

a tenth of it i think is what you're asking.

Step-by-step explanation:

7 0
2 years ago
What is SIN A?
Bond [772]

Answer:

\sin A =\frac{4}{5}

Step-by-step explanation:

Recall the mnemonics SOH CAH TOA.

SOH means the Sine ratio is Opposite over Hypotenuse.

This implies that;

\sin A =\frac{Opposite}{Hypotenuse}

The side opposite to angle A is 4cm and the hypotenuse is 5cm.

\therefore \sin A =\frac{4}{5}

6 0
3 years ago
Other questions:
  • Pedro bought 8 tickets to a basketball game. He paid a total of $208. Write an equation to determine whether each ticket cost $2
    11·2 answers
  • How do I find x and y in this equation
    11·1 answer
  • 3
    5·1 answer
  • Marcie solved the following inequality, and her work is shown below:
    11·1 answer
  • We have calculated a 95% confidence interval and would prefer for our next confidence interval to have a smaller margin of error
    6·1 answer
  • There were 12 girls on the basketball team. 3 of them scored over 10 points in the game. What fraction represents the number of
    5·1 answer
  • Can someone help me please?
    10·1 answer
  • a school district collected 14,621 pounds of recyclables during last year. This year was 3,943 more pounds of recyclables than i
    12·1 answer
  • 2) A farmhouse shelters 61 animals. Some are cows and some are ducks. Altogether there are
    6·1 answer
  • BRAINLIEST <br> Please answer these
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!