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
iren [92.7K]
3 years ago
13

Find the x- and y-intercepts of the function f(x) = log(2x + 1) − 1.

Mathematics
1 answer:
zaharov [31]3 years ago
3 0

Answer:

The y-intercept is -1

The x-intercept is 4.5

Step-by-step explanation:

We have the following equation:

f(x) = log(2x+1) - 1

The y intercept is the value of f(x) when x is equal to 0, so replacing x by 0 and solving for f(x), we get:

f(0) = log(2*0 + 1 ) -1

f(0) = log(1) - 1

f(0) = 0 - 1 = -1

Additionally, the x-intercept is the value of x when f(x) is equal to 0. So, replacing f(x) by 0 and solving for x, we get:

0 = log(2x + 1) - 1\\1 = log(2x + 1)\\10^1=10^{log(2x + 1)}\\10 = 2x + 1\\10 - 1 = 2x\\4.5 = x

You might be interested in
!!! CAN SOMEONE HELP !!! (PLEASE ILL GIVE BRAINLIST)
vladimir1956 [14]

Answer:

120 minutes

Step-by-step explanation:

the total bill was $58 so we have to subtract the $40 monthly bill part to find how much extra money she paid because her call was over 200 minutes

58-40=18

Then divide the $18 by $0.15 since the $18 is the total amount of each time she was charged $0.15 for going 1 minute over 200 minutes

18÷0.15 = 120

120 is te Amount Of minutes she went over her 200 minute limit

6 0
3 years ago
Read 2 more answers
6
Sloan [31]

Triangle ABC is similar to triangle DEC, ∠B ≅ ∠E and 3DE = 2BC

<h3>What is transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>rotation, reflection, translation and dilation.</em>

Dilation is the increase or decrease in the size of a figure by a scale factor.

Right triangle ABC is reflected over AC, then dilated by a scale factor of 2/3 to form triangle DEC, hence:

Triangle ABC is similar to triangle DEC, corresponding angles are congruent (∠B ≅ ∠E) and DE = (2/3)BC i.e. 3DE = 2BC

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

7 0
2 years ago
May someone help me out with this question please
mario62 [17]

You would have 60 different types of pens with this brand. You need to multiply 12 and 5 (because you have 12 different colors for every type of tip, so you have 5 groups of 12).

8 0
3 years ago
Y=x(2)-2x-3 find the value of x when y=1​
Volgvan
1 = x(2) - 2x - 3
1 = 2x + -2x + - 3
1 = (2x + -2x) + (-3)
1 = -3
1 - 1 = -3 -1
0 = -4

No solutions
4 0
3 years ago
Use Cramers Rule to solve the system <br> 2x - 3y = 11<br> -6x + 8y = 34
Nastasia [14]

Step-by-step explanation:

given :

2x - 3y = 11

-6x + 8y = 34

find : the solutions of the system by using Cramers Rule.

solutions:

in the matrix 2x2 form =>

[ 2 -3] [x] [11]

=

[-6 8] [ y] [34]

D =

| 2 -3 |

|-6 8 |

= 8×2 - (-3) (-6)

= 16-18 = -2

Dx = | 11 -3 |

| 34 8 |

= 11×8 - (-3) (34)

= 88 + 102

= 190

Dy = | 2 11 |

|-6 34 |

= 2×34 - (-6) (11)

= 68 + 66

= 134

x = Dx/D = 190/-2 = -95

y = Dy/D = 134/-2 = -67

the solutions = {-95, -67}

8 0
3 years ago
Read 2 more answers
Other questions:
  • Is defined if the number of columns in the first matrix is equal to the number of rows in the second matrix?
    10·1 answer
  • X = y + 3 <br> 2 x - y = 5
    9·1 answer
  • How do I show my work on the question 2
    10·1 answer
  • Given a mean of 61.2 and a standard deviation of 21.4, within how many standard deviations of the mean do the values 45,78,62,90
    12·2 answers
  • Define mass to show it scientific meaning
    6·2 answers
  • What is the slope of the graph shown below?
    11·1 answer
  • I know this is in german but i really really need help...
    8·2 answers
  • If the measurement of angle a is 113°, then what is the measurement of angle d ? Question 20 options: 67° 23° 113° 100°
    7·1 answer
  • Tell whether the angles are adjacent or vertical. Then find the value of x.​
    14·1 answer
  • Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!