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
viktelen [127]
3 years ago
5

Item 8 Solve for x. Use the quadratic formula. 2x2−5x−9=0 Enter the solutions, in simplified radical form, in the boxes.

Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
7 0

Answer:

5+√97/4

Also 5-√97/4

Step-by-step explanation:

The Quadratic formula is x=-b+-√b^2-4ac/2a

This means that we should plug the values for A B AND C into the formula

We can work out that

<u><em>A = 2</em></u>

<u><em>B=-5</em></u>

<u><em>C=-9</em></u>

Once we have put these into the formula we get

5+√97/4 (all over 4) aka 3.71

Also 5-√97/4 (all over 4) aka -1.21

Dimas [21]3 years ago
3 0

Answer:

\large\boxed{x=\dfrac{5-\sqrt{97}}{4}\ or\ x=\dfrac{5+\sqrt{97}}{4}}

Step-by-step explanation:

\text{Let}\ ax^2+bx+c=0\\\\\text{The quadratic formula:}\\\\\Delta=b^2-4ac\\\\\text{If}\ \Delta>0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt\Delta}{2a}\\\\\text{If}\ \Delta=0,\ \text{then the equation has one solution}\ x=\dfrac{-b}{2a}\\\\\text{If}\ \Delta

\text{The equation}\ 2x^2-5x-9=0\\\\a=2,\ b=-5,\ c=-9\\\\\Delta=(-5)^2-4(2)(-9)=25+72=97>0\\\\\sqrt\Delta=\sqrt{97}\\\\x_1=\dfrac{-(-5)-\sqrt{97}}{2(2)}=\dfrac{5-\sqrt{97}}{4}\\\\x_2=\dfrac{-(-5)+\sqrt{97}}{2(2)}=\dfrac{5+\sqrt{97}}{4}

You might be interested in
The formula A equals =P left parenthesis 1 plus r right parenthesis squared (1+r)2 gives the amount A in dollars that P dollars
vlabodo [156]
The interest rate is 3.5%.

EXPLANATION

We substitute the given values into the formula;

A=P(1+\frac{r}{100})^t

to obtain

6427.35=6000(1+\frac{r}{100})^2

We divide through by 6000 to obtain,

\frac{6427.35}{6000}=(1+\frac{r}{100})^2

This implies that,

1.071225=(1+\frac{r}{100})^2

We take the square root of both sides,

\sqrt{1.071225}=(1+\frac{r}{100})

This gives us,

1.035=(1+\frac{r}{100})

Add -1 to both sides of the equation to obtain

0.035=\frac{r}{100}

Multiply through by 100 to obtain;

r=3.5%

Therefore the rate is 3.5%
3 0
3 years ago
Mary gets a $15 allowance each week. She also earns extra money by washing cars. She earns $5 for every car she washes. Each wee
statuscvo [17]

Answer:

Step-by-step explanation:

6 0
3 years ago
Can someone answer plzzzz
telo118 [61]

Answer:

6,882,000 miles

Step-by-step explanation:

8 0
3 years ago
A company is allowed to interview candidates until two qualified candidates are found. But budget constraints dictate that no mo
Lapatulllka [165]

Answer:

Kindly check attached picture for sample space design

45 ways

Step-by-step explanation:

Number of qualified candidates to be chosen = 2

Number of candidates to be interviewed = 10

Combination formula :

nCr = n! / (n-r)! r!

10C2 = 10! ÷ (10 - 2)!2!

10C2 = 10*9 / 2 * 1

10C2 = 90/2

10C2 = 45 different samples

Our sample space will contain 45 different samples

4 0
3 years ago
PLEASE HELPPP!!!?!?? I REALLY NEED IT!!!
DIA [1.3K]

All of the above is the correct answer

4 0
3 years ago
Read 2 more answers
Other questions:
  • Mays’s mother had 13 small photo albums filled with 72 photos in each . In order to save some space she bought 4 larger albums w
    13·2 answers
  • I need help please!
    10·2 answers
  • Simplify 4x+3y please
    13·1 answer
  • Which of the following is the solution to 4|x+2|&gt;=16. HELP ME RIGHT NOW
    9·1 answer
  • To see if the slopes are the same, write an equation setting the two fractions equal to each other. Is this equation true? Why o
    10·1 answer
  • Arielle is building the wooden framework for the roof of a house. She needs the angle created by the vertical and horizontal boa
    11·1 answer
  • What is the period of the function g(x)=2cos(7x+5)+1
    13·2 answers
  • HELP! hope i get a good grade! thanks to everyone for helping out!
    12·2 answers
  • Please help with this math question
    7·1 answer
  • Hi!!!! could someone please help im the middle of taking a test
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!