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
Pie
3 years ago
6

One day, I decide to run to the park. On the way there, I run at a rate of x^2 miles per hour for 3 hours. On the way back, I ta

ke the same path and jog at a slower rate of 16 - 4x miles per hour so that it takes me 4 hours to get home. Given that x > 0, what is x? Express your answer as a common fraction.
Mathematics
2 answers:
agasfer [191]3 years ago
8 0
X would be equal to 3 over 1
Elena L [17]3 years ago
6 0

Answer:

8/3

Step-by-step explanation:

Since we know that the distance that I traveled to the park and the distance that I traveled to get back home are the same, and that distance = rate x time, we have that

(x^2)(3)=(16-4x)(4)

3x^2=64-16x

3x^2+16x-64=0

(3x-8)(x+8)=0

Solving this equation, we get the solutions x=8/3 and x=-8. Since x must be positive, we have x=8/3.

You might be interested in
PLEASE HELP I WILL AWARD BRAINLIEST!!
Artyom0805 [142]

Answer:

see below

Step-by-step explanation:

1. m∠DEF = m∠_FEK___ = 44° = Def. of ∠ bisector  

2. m∠DEK = m∠_DEF___+m∠FEK___= _angle addition postulate________________

3. m∠DEK = _44___ + _44___ = 88° = Substitution, Algebra  

4. DE = _KE____ = Given  

5. EF = _FE____ = Reflexive property

6. △DEF ≅ △_KEF____ = _SAS postulate________________

7. DF = FK_____ = ___CPCTC  (corresponding parts of congruent triangles are congurent)______________

8. KF = 1/2DK =8 _____ = Algebra, 7

5 0
3 years ago
The function H described by H(x) =2.75x+71.48 can be used to predict the height, in centimeters, of a woman whose humerus (the b
WITCHER [35]

Answer:

The predicted height of the woman is 178.73 cm.

Step-by-step explanation:

Consider the provided function.

H(x) =2.75x+71.48

Where x represents the height of humerus and H(x) represents the height of woman.

Substitute x=39 in above function.

H(x) =2.75(39)+71.48

H(x) =107.25+71.48

H(x) =178.73

Hence, the predicted height of the woman is 178.73 cm.

3 0
3 years ago
What are the coordinates of the vertex of the graph of y = x2 + 8x + 1?
Rus_ich [418]

Answer:

y= x2 + 8x - 1 is y=(x+4) 2-17

Step-by-step explanation:

First find  - b/2 = - 4, so  -4 will be added to x inside the parenthesis.

Next , find c - b2 to find the value you added at the end

y= (x- b2) 2 + c - b2

y= (x+4) 2 - 17

6 0
3 years ago
Which is a valid prediction about the continuous function f(x)?
goblinko [34]
I believe the answer is C. third choice

<span>f(x) ≥ 0 over the interval [–1, 1].</span>
6 0
3 years ago
Read 2 more answers
What is the slope of the line that has an x-intercept at x=12 and a y-intercept at y=−20?
steposvetlana [31]

Answer:

The slope is 5/3

Step-by-step explanation:

(12,0)

(0,-20)

Changes in y is -20-0=-20

Changes in x is 0-12=-12

Rise(y) over run(x) = -20/-12

-5/-3

5/3

4 0
3 years ago
Other questions:
  • REQUIRE URGENT ASSISTANCE like really really, please help
    6·1 answer
  • Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth
    13·1 answer
  • Need problem answered plz!!!!<br><br> 4^3⋅(100/25)−5^0
    12·2 answers
  • What is the y intercept of y = 3x - 3
    12·1 answer
  • Which set of side measurements could be a triangle? Select two answers.
    9·1 answer
  • Which expression has the same value as 59.2-84.7?
    14·2 answers
  • What is the slope of the line that passes through and<br> (-3,-5) and (4,-2)?
    9·1 answer
  • Why is the sky blue? also enjoy the points and you dont have to answer lol just dont wanna get this deleted
    8·1 answer
  • Help me with this pls
    12·1 answer
  • The sum of a number x and 8, all divided by 3
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!