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
amid [387]
1 year ago
14

Please help me with this math problem. I have to Use the quadratic formula to solve each equation.

Mathematics
1 answer:
Ierofanga [76]1 year ago
4 0

You have to solve the given expression for q:

2q^2-8=3q

This expression has a quadratic term, which means that it is a quadratic equation. To find the value or values of q, you have to use the quadratic equation, using "q" as the variable instead of "x"

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

Where

a is the coefficient of the quadratic term

b is the coefficient of the q term

c is the constant

- First, zero the equation by passing 3q to the left side of the equal sign:

\begin{gathered} 2q^2-8=3q \\ 2q^2-8-3q=3q-3q \\ 2q^2-3q-8=0 \end{gathered}

For this equation the coefficients are:

a= 2

b= -3

c= -8

Replace them in the formula and solve:

\begin{gathered} q=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ q=\frac{-(-3)\pm\sqrt{(-3)^2-4*2*(-8)}}{2*2} \\ q=\frac{3\pm\sqrt{9+64}}{4} \\ q=\frac{3\pm\sqrt{73}}{4} \end{gathered}

Next, to determine each possible value of q, you have to solve the sum and difference separately:

Sum

\begin{gathered} q=\frac{3+\sqrt{73}}{4} \\ q=2.886\cong2.9 \end{gathered}

Difference

\begin{gathered} q=\frac{3-\sqrt{73}}{4} \\ q=-1.386\cong-1.4 \end{gathered}

The possible solutions for the given equation are q=2.9 and q=-1.4

You might be interested in
If C is the center of the circle, find the measure of KM
stiv31 [10]

Your answer is 160. Sorry about that answer above I laughed reading it hahaha.

6 0
3 years ago
Read 2 more answers
A car is driving at a speed of 40 mi/h. What is the speed of the car in feet per minute? a. 2,400 ft/min b. 211,200 ft/min c. 3,
SCORPION-xisa [38]

Answer:

  3520 ft/min

Step-by-step explanation:

40 mi/h = (40 mi/h)×(5280 ft/mi)×(1 h)/(60 min) = 3520 ft/min

_____

Each conversion factor has a value of 1 (numerator = denominator), so changes the units without changing the speed.

3 0
2 years ago
An employee at a gym wants to select a random sample of gym members for a survey about their exercise habits.
34kurt

Answer:

No, no, yes, no

Step-by-step explanation:

The first one is not random.  He is sampling only the earliest gym goers.

The second one is not random.  He is sampling only from one zip code.

The third one is random.  He is using a random number generator.

The fourth one is not random.  He is sampling only volunteers.

5 0
3 years ago
Read 2 more answers
Evaluate 5xi^11 + 2xi^5
katovenus [111]
That’s how you solve complex numbers.

6 0
3 years ago
What is the minimum number of base-ten pieces needed to replace each set?
andreev551 [17]

Answer:

The answer is .B

Step-by-step explanation:

Hope this can help you !

3 0
2 years ago
Other questions:
  • Suppose that the weight of seedless watermelons is normally distributed with mean 6.1 kg. and standard deviation 1.9 kg. Let X b
    9·1 answer
  • You are a freshman in college and are planning a trip to Europe when you graduate from college at the end of four years. You pla
    7·1 answer
  • lucas lives 5/8 mile from school.kenny lives twice as far as lucas from school.how many miles does kenny live from school
    11·1 answer
  • Which eqation is true when k = -15
    6·1 answer
  • What is the coordinate of the midpoint of segment CE?​
    11·1 answer
  • PLEASE HELLPP IM BEING TIMED!!!!!!!!!!!! PLEASE PLEASE PLEASE PLEASE
    8·1 answer
  • Need help asap<br> will give brainly
    13·2 answers
  • Find the slope of the line passing through the points (7,-9) and (3,-2)
    14·1 answer
  • What is the equation of this graphed Line enter your answer in slope-intercept form in the Box ​
    9·1 answer
  • Question 2 <br><br> help pls its hard i forgt how to do it
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!