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
Kobotan [32]
3 years ago
13

Which are the solutions to the equation 4x^2-7x=3+24

Mathematics
1 answer:
inysia [295]3 years ago
6 0

Hello from MrBillDoesMath!

Answer:

        (1/8)  ( 7 + sqrt(481)  )

        (1/8)  ( 7 - sqrt(481)   )

Discussion:

The equation is equivalent to  4x^2 - 7x -27 = 0  (as 3 + 24 = 0), Using the quadratic formula:

x =    ( - (-7) +\- sqrt ((-7)^2- 4*4*(-27))   )/ (2*4)

  = (1/8)   (  7  +\- sqrt(49+ 432)   ) =

   = (1/8)  ( 7 +\- sqrt(481))


Regards,  

MrB


You might be interested in
For each exponential function, a) write a new function, and b) sketch the corresponding graph (on the same coordinate plane) bas
Luda [366]

A reflection over the y-axis means that "x" will change signs.

A dilation causes the graph to stretch (if the factor is greater than 1) or shrink/compress (if the factor is between 0 and 1). Usually, the instructions will say whether it is a vertical or horizontal stretch (or shrink) so you know which variable is affected. Since it was not specified, I am going to assume that this is both a vertical and a horizontal shrink.

Answer: y = \frac{1}{2}(4^{-2x})

7 0
3 years ago
Y-6=4(x+5) what are the Y and X intercept
Misha Larkins [42]
Hello.

<span>Reorder the terms: -6 + y = 4(x + 5)

  Reorder the terms: -6 + y = 4(5 + x) -6 + y = (5 * 4 + x * 4) -6 + y = (20 + 4x)

  Solving -6 + y = 20 + 4x Solving for variable 'y'.

 Move all terms containing y to the left, all other terms to the right.

 Add '6' to each side of the equation. -6 + 6 + y = 20 + 6 + 4x

 Combine like terms: -6 + 6 = 0 0 + y = 20 + 6 + 4x y = 20 + 6 + 4x

 Combine like terms: 20 + 6 = 26 y = 26 + 4x

 Simplifying y = 26 + 4x


</span>x-intercept: <span><span>(−<span>132</span>,0)</span><span>(-<span>132</span>,0)</span></span>y-intercept: <span>(0,26<span>)

Have a nice day</span></span>
4 0
3 years ago
How much paper will be needed to cover the cylinder shown?
Advocard [28]
A=2πrh+2πr2=2·π·6·25+2·π·6^2 so the answer is D
5 0
3 years ago
Read 2 more answers
I know it small but can someone help me. It says The table below shows customers' favorite ice cream flavors at a popular ice cr
IgorLugansk [536]

Answer:

<h2><u>Graph A</u></h2>

Step-by-step explanation:

We know it must be graph A because when finding the most popularly bought item, the percentages only can go to 100%

So graphs C and D are eliminated.

Also since it never said any flavors were unknown, all the percents have to add up to 100%

So graph B is eliminated.

Only graph A follows the requirements

7 0
3 years ago
Cara is a high school student. On average, there are 26 students per class at her school, with a standard deviation of 3 student
aliina [53]

Answer:

B. 97%

Step-by-step explanation:

20 students is -2 standard deviations away from the mean

35 is +3 standard deviations away from the mean

100 - 2.4 = 97.6

(2.4 is amount of data we are not using)

please refer to the standard deviation graph attached :)

8 0
2 years ago
Other questions:
  • Properties of equality
    14·1 answer
  • A forklift raises a 1,020 N crate 3.50 m up to a shelf. How much work is done by the forklift on the crate
    8·1 answer
  • One gym costs $24 per month and has a joining fee of $135. Another gym costs $39 per
    15·1 answer
  • Trayvon bought 2 gallons of milk at the supermarket. How many quarts did he buy
    8·1 answer
  • The slope of (4,-5 (-2,5)
    10·1 answer
  • Please help what is the area?
    5·1 answer
  • At the neighborhood Fourth of July party, Mrs. O’Conner plans to serve banana pudding. She plans to make two batches for every 9
    8·1 answer
  • How do you convert 94 degrees Fahrenheit to Celsius?
    13·1 answer
  • the cost of 5 oranges and 3 apples is 43 rupees and the cost of 2 oranges and 4 apples is 34 rupees. find the cost of an orange
    9·1 answer
  • Graph the line that passes through the points (1,-6) and (2,-5) and determine the equation of the line.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!