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
son4ous [18]
3 years ago
14

◆ Quadratic Equations ◆Please help !

Mathematics
1 answer:
Mila [183]3 years ago
3 0
I'm sure there's an easier way of solving it than the way I did, but I'm not sure what it could be. Never dealt with a problem like this before.

Anyway, I just plugged in and tested. Chose random values for a, b, c, and d, which follow the rule 0 < a < b < c < d:

a = 1
b = 2
c = 3
d = 4

\sf ax^2+(1-a(b+c))x+abc-d)

\sf 1x^2+(1-1(2+3))x+(1)(2)(3)-(4))

Simplify into standard form:

\sf x^2+(1-1(5))x+6-4

\sf x^2+(1-5)x+2

\sf x^2-4x+2

Use the quadratic formula to solve:

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

For functions in the form of \sf ax^2+bx+c. So in this case:

a = 1
b = -4
c = 2

Plug them in:

\sf x=\dfrac{4\pm\sqrt{(-4)^2-4(1)(2)}}{2(1)}

Solve for 'x':

\sf x=\dfrac{4\pm\sqrt{16-8}}{2}

\sf x=\dfrac{4\pm\sqrt{8}}{2}

\sf x\approx\dfrac{4\pm 2.83}{2}

\sf x\approx 0.59,3.41

So the answer would be A.
You might be interested in
A restaurant manager recorded the number of people in different age groups who attended her food festival. She then created the
Andre45 [30]

Answer:

Option: B

There are three times as many participants in the 40-59 age group than in the 0-19 age group.

Step-by-step explanation:

From the histogram we have following observations:

Number of people in the age group  0-19= 20

Number of people in the age group 20-39=40

Number of people in the age group 40-59=60

Number of people in the age group 60-79=50

Hence, from the data we could say that  there are three times as many participants in the 40-59 age group( which is 60) than in the 0-19 age group(which is 20).

Hence, option B is correct.


4 0
3 years ago
Read 2 more answers
HELP PLEASE!!! BRAINLIESTTTTTTTTTTTTT
PilotLPTM [1.2K]
<span>1. What are the steps of the statistical process and how are they used in the real world?
     A.State
     B.Formulate
     C.Solve
     D.Conclude
</span> 2. What is the difference between categorical and quantitive data?Quantitative variables are numerical numbers like percents or counts
Categorical<span> variables are descriptions of groups or things like what kind of animal you are,The color of something etc..
</span>
Hope it helps ^^

<span>

</span>
3 0
3 years ago
Read 2 more answers
Help me ASAP please!!!
mote1985 [20]
A. 4/5 of them are grey
6 0
3 years ago
The mean amount spent by a family of four on food is $500 per month with a standard deviation of $75. Assuming that the food cos
Alexeev081 [22]

Answer:

z=\frac{x- \mu}{\sigma}

And replacing we got:

z=\frac{425-500}{75}= -1

And we can calculate this probabilit using the normal standard distribution or excel and we got:

P(z

Step-by-step explanation:

If we define the random variable of interest "the amount spent by a family of four of food per month" and we know the following parameter:

\mu = 500, \sigma = 75

And we want to find the following probability:

P(X

And we can use the z score formula given by:

z=\frac{x- \mu}{\sigma}

And replacing we got:

z=\frac{425-500}{75}= -1

And we can calculate this probabilit using the normal standard distribution or excel and we got:

P(z

5 0
3 years ago
Help please thank you
Sergeeva-Olga [200]

Answer:

0.25

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • How do you find the area of a triangle
    6·2 answers
  • Given the parent function f(x) = 3x, which graph shows f(x) + 2?
    13·1 answer
  • I and m are parallel to each other​
    5·2 answers
  • Find the sum of the geometric sequence.
    12·1 answer
  • The measures of two supplementary angles are (2x + 10)° and (6x + 8)°.
    13·1 answer
  • Which point on the graph is the solution to the system of linear equations? -2x=-y+4 x=-2
    8·1 answer
  • What is the measure of angle w°? Show all work.
    11·1 answer
  • Suppose that there were a positive correlation between the variables u and v. If v is 24 when u is 10, which of these is most li
    11·1 answer
  • Work out the highest common factor (HCF) of 180 and 240
    13·2 answers
  • The equations of three lines are given below.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!