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
Misha Larkins [42]
4 years ago
6

Without graphing, determine the range of the function f(x) = 4|x+6|-5 over the interval [-10,5].

Mathematics
1 answer:
spin [16.1K]4 years ago
3 0

Answer:

[-5,39]

Step-by-step explanation:

The vertex is at (-6,-5)

The interval is from -10 to 5 (inclusive of both endpoints...

Absolute function is open up because 4 is positive

I will plug in both endpoints now:

f(-10)=4|-10+6|-5                               f(5)=4|5+6|-5

f(-10)=4(4)-5                                      f(5)=4(11)-5

f(-10)=11                                             f(5)=39

So the highest reached by f(5) which is 39 so our range will go up to 39 (inclusive)

11 is not the lowest reached, -5 is because our vertex was included within the domain

So the range is [-5,39]

You might be interested in
Where is each point located on the graph?
vredina [299]

-3 + 8i is in quadrant II

4i is on the vertical axis

6 is on the horizontal axis

5 - 2i is in the quadrant IV


3 0
3 years ago
Read 2 more answers
How do I estimate 542,817
ioda

Answer:

Step-by-step explanation:

Much depends on how accurate an estimate you want.

If "to the nearest hundred" would be acceptable (it's a lot of work),

Round off 542817 to 542820 and 27398 to 2740.  Then you'd want to subtract 2740 from 542820.  (Again, it's a lot of work.)

Otherwise round off to the nearest thousand:  543000 - 27000.

Or go to the nearest ten thousand:  540,000 - 30,000 = 510,000 (estimate)

4 0
3 years ago
a child puts $1.00 into a piggy bank. one week later, he puts $1.25 in the bank. two weeks later, he puts $1.50 in the bank, and
Levart [38]

He puts 100$ in the bank on the 25th week.

<h3>What is a bank?</h3>

An example of a financial institution that lends money is a bank, which both collects deposits from the public and creates demand deposits. Through the capital markets, the bank may engage in lending activities directly or indirectly.

Banks are heavily regulated in most countries because they are essential to the financial stability and economic health of a nation. The fractional reserve banking system, in which banks maintain liquid assets that are only partially comparable to their current liabilities, has been institutionalized in the majority of countries. In addition to other constraints intended to assure liquidity, banks are often subject to minimum capital requirements based on an international set of capital norms known as the Basel Accords.

Explanation:

First term(a_{1})= 1

Common difference= 1.25-1=0.25

a_{25}=1+(25-1).25\\           =1+(24)(.25)\\ = 1+6\\=7

S_{25}=\frac{25}{2}  (1+7)\\=\frac{25}{2}(8)\\ =100

To learn more about bank ,visit:

brainly.com/question/14042269

#SPJ4

7 0
2 years ago
A rectangle has a height to width ratio of 3:4.5. Give two examples of dimensions for rectangles that could be scaled versions o
OlgaM077 [116]

We have been given that a rectangle has a height to width ratio of 3:4.5.

Let h be height and w be width of rectangle.

We can set our given information in an equation as:

\frac{h}{w} =\frac{3}{4.5}

h=\frac{3}{4.5} *w

Now we will substitute h=1 in this equation.

1=\frac{3}{4.5} *w

3w=4.5

w=\frac{4.5}{3} =1.5

We can see that width of rectangle is 1.5 times height of rectangle.

Our one set of dimensions of rectangle will be: height=1 and width=1.5.

We can get many set of dimensions for our rectangle by multiplying both height and width of rectangle by same number.

Multiplying by 5 we will get our dimensions as: height 5 and width 7.5.  

Therefore, (1 and 1.5) and (5 and 7.5) dimensions for rectangle will be scaled version of our rectangle.

6 0
3 years ago
Write the expression in complete n^2(n+8)-4(n+8)
MakcuM [25]

Answer:

(n^2-8)(n+8) is the answer

6 0
4 years ago
Other questions:
  • HELP ASAP!!<br> please show work!!!<br> what is the value of x in the matrix equation below?
    8·1 answer
  • Cathy recorded the percent of her clothing that is red, yellow, blue, or orange. The results are shown in the table (in the pict
    8·1 answer
  • Is this correct so far in order to change the equation into standard form for ellispe
    9·1 answer
  • In our family there is five boys and one girl. What percent of the family is boys?
    13·1 answer
  • |13x-4|+12 &lt; 56<br> Anybody know this cuz I do
    12·1 answer
  • Help pls<br><br>Find x<br>a(21)<br>b(27)<br>c(9)<br>d(18)​
    12·1 answer
  • PLEASE HELPP IM VERy CONFUSED IM MAKING IT WORTH 45 PLEASE HELP!!!!! WILL MARK BRAINLIEST
    14·1 answer
  • A soap factory randomly inspects 100 bars of soap to better identify problems that occur during the manufacturing process. The t
    13·2 answers
  • Will give brainliest
    14·2 answers
  • ANSWER PLZZ NO LINKS PORFA<br><br> How many miles longer is Trail A than Trail B?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!