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
swat32
3 years ago
5

20x^2-30=4x solve for x

Mathematics
2 answers:
ankoles [38]3 years ago
8 0

Answer:

x=1.3288 or -1.1288

Step-by-step explanation:

Given 20x^{2}-30=4x

    Subtract 4x from both sides

         20x^{2}-4x-30=0

Since we can factor out 2 from whole equation, let's factor out 2.

         2(10x^{2}-2x-15)=0

Divide with 2 on both sides

         10x^{2}-2x-15=0

We got the quadratic equation, we can solve for x using quadratic formula.

x=\frac{-b\pm\sqrt{b^{2}-4ac} } {2a}

x=\frac{2\pm\sqrt{2^{2}-4X10X(-15)} } {2X10}

x=\frac{2\pm\sqrt{604} }{20}

x=\frac{2\pm2\sqrt{151}}{20}

x=1.3288or-1.1288


Vanyuwa [196]3 years ago
6 0
Mmmm let me think about it
You might be interested in
4 over 1 divided by 9 over 8 equals
eduard

Answer:

3 5/9

Step-by-step explanation

you flip 9/8 to 8/9 and multiply... you get 32/9=3 5/9

7 0
3 years ago
A pyramid with a square base has how many faces?
mylen [45]

Answer:

It has 5 Faces. The 4 Side Faces are Triangles. The Base is a Square. It has 5 Vertices (corner points)


Step-by-step explanation:


3 0
3 years ago
The gas mileage for a certain vehicle can be approximated by m=−0.05x2+3.5x−49, where x is the speed of the vehicle in mph. Dete
Whitepunk [10]

Answer:

<h2>14mph</h2>

Step-by-step explanation:

Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;

m = −0.05x²+3.5x−49

when m= 9

9 = −0.05x²+3.5x−49

−0.05x²+3.5x−49 = 9

0.05x²-3.5x+49 = -9

Multiplying through by 100

5x²+350x−4900 = 900

Dividing through by 5;

x²+70x−980 = 180

x²+70x−980 - 180 = 0

x²+70x−1160 = 0

Using the general formula to get x;

a = 1, b = 70, c = -1160

x = -70±√70²-4(1)(-1160)/2

x = -70±√4900+4640)/2

x = -70±(√4900+4640)/2

x = -70±√9540/2

x =  -70±97.7/2

x = -70+97.7/2

x = 27.7/2

x = 13.85mph

x ≈ 14 mph

Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph

4 0
3 years ago
1. How far is KFC from RCBC Savings Bank? 2. How far is BaliwagLetchon Manok from RCBC Savings Bank? 3. How far is Baliwag Lecho
umka21 [38]

Answer:

Following are the solution to the given question.

Step-by-step explanation:

Please find the graph file and its solution in the attachment.  

4x-15=3x+28\\\\4x-3x=28+15\\\\x=43\\\\

Similarly:

3y+5=2y+50\\\\3y-2y=-5+50\\\\y=45\\\\

For point 1:\to KR=4x-15= 4\times 43-15=172-15=157

For point 2: \to BR=2y+50= 2\times 43+50=86+50=136

For point 3:\to BE=KR=157

For point 4:\to Kf=BR=130

For point 5:\to ERK=KFB=180^{\circ} -\angle B-\angle ERB = 180^{\circ}-92^{\circ}-18^{\circ}=70^{\circ}

4 0
3 years ago
Select all the correct answers.
Vlad1618 [11]

Answer:

  • The measure of reference angle is 30^{\circ}.
  • \cos \theta=\frac{\sqrt{3}}{2}

Step-by-step explanation:

Converting \theta to degrees,

\theta=\left(\frac{11\pi}{6} \right) \left(\frac{180}{\pi} \right)=330^{\circ}

This means \theta lies in Quadrant 4, and thus its reference angle is 360^{\circ}-330^{\circ}=\boxed{30^{\circ}}

Since \theta lies in the fourth quadrant, \sin \theta and \tan \theta are negative.

Since \theta lies in the fourth quadrant, \cos \theta is positive, and is equal to \cos (30^{\circ})=\boxed{\frac{\sqrt{3}}{2}}

3 0
2 years ago
Other questions:
  • (x^3 -6x^2 -7x -9)/ (x-3)
    8·1 answer
  • Which of the following statement is true about a trapezoid
    9·1 answer
  • Solve the equation.<br> 2/5n+1/10=1/2 (n+4)
    5·1 answer
  • What is the volume of a cone that has a height of 7 mm and a radius of 3 mm? Use 3.14 to approximate pi and round the answer to
    7·1 answer
  • Mrs. Bautista invested Php2700.00 part at 8% and the rest at 11% .How musch did she invest at each rate if her total annual inco
    13·1 answer
  • T divided by 3/4. T= 9 3/4
    9·1 answer
  • Please help 7th grade math
    15·2 answers
  • PLEASE I ONLY HAVE 30 MIUNUTES TO FINISH!!!!!!!!!!!!!
    13·2 answers
  • 2) 2(8r + 5) = 24 + 9r
    11·1 answer
  • How many 1/8s are in 9 3/4<br><br><br> Pleaseeee help meee
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!