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
Lynna [10]
3 years ago
15

What are the similarities and differences that exist between all continuous linear and continuous exponential functions?

Mathematics
1 answer:
max2010maxim [7]3 years ago
3 0
You can recognize exponential and linear functions by their graph. Linear functions are straight lines while exponential functions are curved lines. You can also recognize them by the change in y. If the same number is being added to y, then the function has a constant change and is linear
You might be interested in
12) Write the equation of a rational function
aev [14]

Answer:

\frac{4(x - 5)(x + 7)(x - 12)}{(x + 1)(x)(x - 12)}

Step-by-step explanation:

A rational function is

\frac{p(x)}{q(x)}

where q(x) doesn't equal zero.

If p is a asymptote, or hole at that value, then we will use

(x - p)

Step 1: We have asymptote as 0 and -1 so our denomiator will include

(x - 0)(x - ( - 1)

Which is

(x)(x + 1)

So our denomator so far is

\frac{p(x)}{x(x + 1)}

Step 2: Find Holes.

Since 12 is the value of the hole,

(x - 12)

is a the binomial.

This will be both on the numerator and denomator so qe have

\frac{(x - 12)}{x(x + 1)(x - 12)}

Step 3: Put the x intercepts in the numerator.

Since 5 and -7 is the intercepts,

\frac{(x - 12)(x - 5)(x + 7)}{x(x + 1)(x - 12)}

Step 4: Horinzontal Asymptotes,

Multiply the numerator and denomiator out fully,

\frac{  {x}^{3} - 10 {x}^{2}  - 59x + 420 }{ {x}^{3} - 12 {x}^{2}   + x - 12}

Take a L

look at the coefficients,

Notice they have the same degree,3, this means if we divide the leading coefficents, we will get our horinzonral asymptote.

Multiply the numerator by 4.

\frac{4(x - 12)(x - 5)(x - 7)}{x(x + 1)(x - 12)}

Above is the function,

5 0
2 years ago
Solve equation by using the quadratic formula.
Sati [7]

Answer: 1:  x=3, x=1

2:  x= -5

3:  There are 2 real solutions.

4:  There are 2 real solutions.

5:  There are no real solutions.

6.  There is 1 real solution.

7.  

8.  x= -6, x = -2

9.  x = -1/6, x=1

10.  

Explanation:

1.  The quadratic formula is

Substituting our known information we have:

2.  Rewriting the quadratic in standard form we have x²+10x-25=0. Substituting this into the quadratic formula gives us:

3.  The discriminant is b²-4ac.  For this problem, that is 20²-4(-4)(25)=400--400=800.  Since this is greater than 0, there are 2 real solutions.

4.  The discriminant in this problem is 7²-4(2)(-15)=49--120=49+120=169.  This is greater than 0, so there are 2 real solutions.

5.  The discriminant in this problem is 1²-4(-2)(-28)=1-224=-223.  Since this is less than 0, there are no real solutions.

6.  If the discriminant of a quadratic is 0, then by definition there is 1 real solution.

7.  Rewriting the quadratic we have 3x²-4x-2=0.  Using the quadratic formula we have:

8.  Factoring this trinomial we want factors of 12 that sum to 8.  6*2 = 12 and 6+2=8, so those are our factors.  This gives us:

(x+6)(x+2)=0

Using the zero product property we know that either x+6=0 or x+2=0.  Solving these equations we get x= -6 or x= -2.

9.  Factoring this trinomial we want factors of 6(-1)=-6 that sum to -5.  (-6)(1)=-6 and -6+1=-5, so this is how we "split up" the x term:

6x²-6x+1x-1=0

We group together the first two and the last two terms:

(6x²-6x)+(1x-1)=0

Factor the GCF out of each group.  In the first group, that is 6x:

6x(x-1)+(1x-1)=0

In the second group, the GCF is 1:

6x(x-1)+1(x-1)=0

Both terms have a factor of (x-1), so we can factor it out:

(x-1)(6x+1)=0

Using the zero product property, we know either x-1=0 or 6x+1=0.  Solving these equations we get x=1 or x=-1/6.

10.  Substituting our information into the quadratic formula we get:

Step-by-step explanation:

5 0
2 years ago
Caroline drove 350 miles. It took her 5 1/4 hours. what was her speed per miles
Helen [10]

Around 70mph count 50miles per 10mph and you’ll get 70mph by the you hit 350miles

8 0
3 years ago
Work out the interior angle of the octagon.<br> Please show the working out.
bija089 [108]

Answer:

135°

Step-by-step explanation:

formula = (n-2) * 180, whereby 'n' is the number of sides.

therefore, (8-2) * 180 = 1080°

1080° ÷ number of sides

= 1080° ÷ 8

= 135°

5 0
2 years ago
Read 2 more answers
Your ship accidentally left an alien stranded at your
Diano4ka-milaya [45]

Answer:they are opposite from each other

Step-by-step explanation:

I really don’t know

4 0
3 years ago
Read 2 more answers
Other questions:
  • A behavioral scientist investigated whether there is a significant difference in the percentages of men and women who purchase s
    14·1 answer
  • Do you know. How to solve these?
    7·2 answers
  • An expression is shown below:
    8·1 answer
  • Picking an even number from a jar with papers labeled from 1-12
    14·2 answers
  • HELP ME!! I GIVE YOU 20 POINTS BE QUICK AND GET IT RIGHT PLEASE
    13·2 answers
  • Solve for x<br>12:15 = x 5<br>36<br>060​
    14·2 answers
  • What is the value of 3-(-2)?
    5·2 answers
  • ILL BRAINLIEST YOU IF YOU GET IT RIGHT PLEASE HELP ME
    12·1 answer
  • Someone help asap Ill give brainlest!
    10·1 answer
  • Which is a solution of 1/4+x=0 0.25, 3/4, -3/4, or -0.25.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!