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
loris [4]
3 years ago
14

a road follows the shape of a parabola f(x)=3x2– 24x + 39. A road that follows the function g(x) = 3x – 15 must cross the stream

at point A and then again at point B. Bridges must be built at those points. Identify the coordinates where the bridges must be built.
Mathematics
1 answer:
Nonamiya [84]3 years ago
7 0

the coordinates where the bridges must be built is (3,-6) and (6,3) .

<u>Step-by-step explanation:</u>

Here we have , a road follows the shape of a parabola f(x)=3x2– 24x + 39. A road that follows the function g(x) = 3x – 15 must cross the stream at point A and then again at point B. Bridges must be built at those points.We need to find Identify the coordinates where the bridges must be built. Let's find out:

Basically we need to find values of x for which f(x) = g(x) :

⇒ f(x)-g(x)=0

⇒ 3x^2- 24x + 39-(3x - 15 ) =0

⇒ 3x^2- 24x + 39-3x + 15  =0

⇒ 3x^2- 27x + 54  =0

⇒ x^2- 9x + 18  =0

⇒ x^2- 6x-3x + 18  =0

⇒ x(x- 6)-3(x - 6)  =0

⇒ (x-3)(x- 6)  =0

⇒ x=3 , x=6

Value of g(x) at x = 3 : y=3x -15 = 3(3)-15 = -6

Value of g(x) at x = 6 : y=3x -15 = 3(6)-15 = 3

Therefore , the coordinates where the bridges must be built is (3,-6) and (6,3) .

You might be interested in
HELP QUICK PLSSSSSS Distribute 8(4+x)
Masja [62]
The answer for your question is 32+8x
7 0
2 years ago
Read 2 more answers
Helpp ill mark u as brainlist​
umka21 [38]

Answer:

Soccer

Step-by-step explanation:

3 0
3 years ago
Can u help me answer dis
gavmur [86]

Answer:

the base is 10 and the height is 6.4

3 0
2 years ago
Perform the indicated operation.<br><br> (2x + 7)(x – 5)<br> Answers <br> Below in the picture
Over [174]

i thought it was a or d

6 0
3 years ago
Read 2 more answers
The sum of the measures of two angles of a scalene triangle is calculated, and the result is the same as the measure of one of t
ikadub [295]
The complete question in the attached figure

we know that
The Exterior Angle Theorem establishes that t<span>he measure of an exterior angle of a triangle equals to the sum of the measures of the two remote interior angles of the triangle.
so

the answer is the option
</span><span>A. the remote interior angles</span>

5 0
3 years ago
Read 2 more answers
Other questions:
  • A sampling distribution refers to the distribution of
    5·1 answer
  • 14 and 16 please! Also explain if you can!
    6·1 answer
  • Please help me asap! Thank you! Lines CD and CE are tangent to circle a. If m angle DAE = 140°, what is the measure of angle DCE
    8·1 answer
  • What is the recursive formula for this geometric sequence 2, -10, 50, -250
    13·2 answers
  • Find an equation for a line<br> perpendicular to y= 3x – 5 , with a y-<br> intercept of -2
    12·1 answer
  • The scatter diagram shows the results of 10 students in their french and Spanish test
    10·2 answers
  • This table shows the varying costs for packages of juice.
    12·1 answer
  • Ten years from now, Abdul will be twice as old as his son pavel ten years ago, Abdul was seven times as old as pavel how old are
    15·1 answer
  • Can someone please help me?
    10·1 answer
  • Find the area of the circle. Round your answer to the nearest hundredth.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!