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
MrRa [10]
3 years ago
7

Carol walks 12km at xkm/h and then a further 6 km at (x-1) km/h the total time taken is 5 hours . Write an equation in terms of

x and show that it simplifies to 5x squared -23x+12=0
Mathematics
1 answer:
Arisa [49]3 years ago
8 0

Step-by-step explanation:

12/x + 6/(x-1) = 5

12(x-1) + 6(x) = 5(x)(x-1)

18x - 12 = 5x² - 5x

5x² - 23x + 12 = 0. (Shown)

You might be interested in
Suppose a city with population 500,000 has been growing at a rate of ​7% per year. If this rate​ continues, find the population
krok68 [10]

Answer:

2,070,281

Step-by-step explanation:

let x = number of years

let y = population

Given:

  • initial population = 500000
  • rate of increase = 7%

y = 500000 × 1.07^x

when x = 21:

y = 500000 × 1.07^(21) = 2070281.187... = 2,070,281

5 0
2 years ago
Which graph represents an exponential function?
geniusboy [140]

Answer:The function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.

What are exponential functions?

The exponential functions are written in the form of y = aeᵇˣ, where the output y increases exponentially for the input x.

In order to find the graph that represents an exponential function, we will discuss each of the following graphs,

For the 1st graph, (Black),

In the first graph, the graph is of a parabola, and the function which represents this kind of graph is a quadratic equation, therefore, this graph represents a parabolic equation. It is given by the function,

y=ax²+bx+c or y=a(x-h)²+k

For the 2nd graph, (Red),

In the second graph, the graph represented is the graph of a reciprocal function, the function that can be represented by the graph,

y=a/x + b

For the 3rd graph, (Blue),

In the third graph, the graph represented is the graph of root function, it can be modeled as,

y = a+√(x+b)

For the 4th graph, (Green),

In the fourth graph, the graph represented is the graph of an exponential function, and it can be modeled as,

y = aeᵇˣ

Hence, the function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.

Step-by-step explanation:

7 0
1 year ago
C. What is located at the reflection of (3,1) across
Iteru [2.4K]

Check the picture below.

6 0
2 years ago
Select the number of solutions for each system of two linear equations.
lidiya [134]

Answer:

work is shown and pictured

4 0
3 years ago
Solve: 4= -0.8n<br> I forgot how to do this can someone help?
frez [133]

Answer:

<em>n</em><em> </em><em>=</em><em> </em><em>-5</em>

Step-by-step explanation:

<em>Just</em><em> </em><em>divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>with</em><em> </em><em>-0</em><em>.</em><em>8</em>

<em>:</em><em>)</em><em> </em>

8 0
3 years ago
Read 2 more answers
Other questions:
  • Valerie deposited $2000 into an IRA that grew to $5000 by retirement. If Valerie is currently in the 15% tax bracket and retired
    12·2 answers
  • Find six rational numbers between 3 and 4.
    11·2 answers
  • I’ll give extra points pls help
    13·2 answers
  • Hudson is making smoothies. Each smoothie uses 2/3 cup of yogurt. How many cups of
    7·2 answers
  • Please answer!!
    14·1 answer
  • What is the Factor 4m^3-32n^3
    6·1 answer
  • a motorcycle traveling at 25 m/s acceleration at the rate of 7.0 m/s for 6.0 seconds what is the final speed of the motorcycle?​
    13·2 answers
  • La suma de tres números enteros consecutivos es 60. ¿Cuál es el mayor de los tres números enteros?
    7·1 answer
  • The difference between two whole numbers is 8. Twice the smaller number is 4 more than the larger number.
    14·1 answer
  • Determine the period.​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!