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
IceJOKER [234]
3 years ago
15

Sophia trains with her friend Aisha on a 5-kilometer trail near their school.

Mathematics
1 answer:
KatRina [158]3 years ago
4 0

Answer:

y = 7x

y = 5.5x

Sophia

Step-by-step explanation:

Given that:

Aisha runs 1 km in 7 minutes :

Aisha's function :

y = 7x

x = number of kilometers and y is the number of minutes

For Sophia :

Slope = change in y / change in x = (15.5 - 10) / (1 - 0)

Slope = 5.5

Hence, Sophia :

y = 5.5x

Hence, Sophia runs faster as she completes one kilometer in 5.5 minutes. Which is lesser Than Aisha's time. Of 7 minutes.

You might be interested in
5. Write an equivalent expression to 1/4 (24x + 7 – 12x).
lapo4ka [179]

Answer:

Step-by-step explanation:

The easiest and most proper way to approach this task is to combine like terms inside parentheses:  (24x + 7 – 12x) => (12x + 7).

Then (1/4)(24x + 7 – 12x) = (1/4)(12x + 7).  This is an acceptable answer.  There is the option of carrying out the multiplication, which results in

3x + 7/4, which is another acceptable answer.

6 0
3 years ago
What is the inverse of g? <br> g(x) = 3/x+7
ikadub [295]

Given function :-

\bf \implies g(x) = \dfrac{3}{x}+7

  • To find its reverse , substitute y = g(x) .

\bf \implies y = \dfrac{3}{x}+7

  • Interchange x and y .

\bf \implies x = \dfrac{3}{y}+7

  • Solve for y .

\bf\implies \dfrac{3}{y}= x -7 \\\\\bf\implies y =\dfrac{3}{x-7}

  • Replace y with f-¹(x) .

\implies\boxed{\red{\bf f^{-1}(x) = \dfrac{3}{x-7} }}

6 0
2 years ago
Find the product of 30−−√ and 610−−√. Express it in standard form (i.E., ab√).
Zina [86]

we are given

\sqrt{30} *\sqrt{610}

we can radical formula

\sqrt{a} *\sqrt{b}=\sqrt{a*b}

we get

\sqrt{30} *\sqrt{610}=\sqrt{30*610}

\sqrt{30} *\sqrt{610}=\sqrt{3*61*100}

we can  also write as

\sqrt{30} *\sqrt{610}=\sqrt{100}*\sqrt{3*61}

\sqrt{30} *\sqrt{610}=10\sqrt{183}............Answer


7 0
3 years ago
Read 2 more answers
Explain how the function y=-1/3|x+2|+5 is transformed from the original function of y=-1/3|x|.
Illusion [34]

The original function of y = -1/3|x| was translated 2 units to the right and 5 units up.

<h3>The types of transformation.</h3>

In Mathematics, there are four (4) main types of transformation and these include the following:

  1. Dilation
  2. Rotation
  3. Reflection
  4. Translation

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

In Mathematics, the translation of a geometric figure (shape) to the right simply means adding a digit to the numerical value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure (shape) that is translated up simply means adding a digit to the numerical value on the y-coordinate (y-axis) of the pre-image.

In this scenario, the original function was shifted 2 units to the right and then shifted 5 units up to produce the new function as follows:

Original function (x, y)    →     New function (x + 2, y + 5)

y = -1/3|x|                         →        y = -1/3|x + 2| + 5

Read more on translation here: brainly.com/question/20720324

#SPJ1

4 0
1 year ago
What is the slope of the trend line in the scatterplot? Show work
Tom [10]

Answer:

y = -5x + 90

Step-by-step explanation:

y = mx + b is slope intercept form

b is the y intercept, meaning that 90 is the y-intercept

m is the slope (rise over run), 20/4, 5/1, 5

y = -5x + 90

this wasnt the best explanation but I hope it helped

3 0
3 years ago
Other questions:
  • A certain radioactive isotope decays at a rate of 2% per 100 years. if t represents time in years and y represents the amount of
    14·1 answer
  • Luis earns a base salary of $150.00 every week with an additional 14% commission on everything he sells. If Luis sold $6,050.00
    8·2 answers
  • A group of 5 friends spent a total of $18 on a bottle of juice and a package of dried fruit for each of them each juice cost $ 1
    15·2 answers
  • HELP YALL HELP PLEASE ​
    6·1 answer
  • What fraction of each gallon of purple paint is red paint?
    10·1 answer
  • HELP ASAP!! ILL MARK BRAINLIEST! David recorded the ages, in years, of the members of four high school clubs. Each club has the
    8·1 answer
  • Follow me choppa_brianna on the gram
    7·1 answer
  • What is the area, in square centimeters, of the isosceles trapezoid below?
    5·1 answer
  • Yeric designs a circular cushion by cutting pieces of fabric to sew together as the front and back of the cushion. He cuts each
    12·2 answers
  • (x5 + y5) ÷ (x + y) please answer ASAP
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!