Use the quadratic formula to solve for x. 4x2 +9x-1=0​

Answers

Answer 1

Answer:

[tex]x=\frac{-9\pm\sqrt{65} }{8}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

Step 1: Define

4x² + 9x - 1 = 0

Step 2: Define variables

a = 4

b = 9

c = -1

Step 3: Find roots

Substitute:                    [tex]x=\frac{-9\pm\sqrt{9^2-4(4)(-1)} }{2(4)}[/tex]Exponents:                   [tex]x=\frac{-9\pm\sqrt{81-4(4)(-1)} }{2(4)}[/tex]Multiply:                        [tex]x=\frac{-9\pm\sqrt{81-16} }{8}[/tex]Subtract:                       [tex]x=\frac{-9\pm\sqrt{65} }{8}[/tex]

Related Questions

10m^5n^4/15m^2? Can someone help me

Answers

Answer:

2m^7n^4/3

Step-by-step explanation:

A student takes 1.5 hours to complete her midterm. How many seconds did it take her to finish the assessment?

Answers

Answer: 5,400 seconds

Explanation: 1.5 hours is equal to 90 minutes and there is 60 seconds in a minute all you have to do is multiply 90 x 60 hope this helped(:

The student took 5400 seconds to finish her assessment.

Given,

A student takes 1.5 hours to complete her midterm.

We have to find how many seconds it took to finish her midterm assessment.

How many seconds in an minute?

One hour = 60 minutes

1 minute = 60 seconds

We have,

A student takes 1.5 hours to complete her midterm.

1.5 hours = to complete the assessment.

Converting 1.5 hours into seconds.

1 minutes = 60 seconds

Multiplying 60 on both sides.

60  x 1 minutes = 60 x 60 seconds

60 minutes = 3600 seconds

1 hour = 60 minutes

1 hour = 3600 seconds

Multiplying 1.5 on both sides.

1.5 x 1 hour = 1.5 x 3600 seconds

1.5 hours = 5400 seconds.

Thus the student took 5400 seconds to finish her assessment.

Learn more about conversion of hours to seconds here:

https://brainly.com/question/8197451

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the quotient of y and 221 is equal to 21

Answers

Answer: the answer is 10.54 I think

Step-by-step explanation:

I think y is 4641 because if we divide 4641 by 221 it is 21

Assume y varies directly with x. If y = 80
when x = 8, find x when y = 40.

Answers

Answer:

4

Step-by-step explanation:

Help!!
Find the solution of this system of equations
x- 10y = -59
-4x + 10y = 86

Answers

Answer:

x - 10y = -59

(+)-4x + 10y = 86

-3x = 27

x = -9

substitute x into x - 10y = -59

-9 -10y = -59

-10y = -50

y = 5

Together, Eric and Mike have at least 15 Hot Wheels. If Eric has 9 Hot Wheels, how many can Mike have?

Answers

Answer:

6

Step-by-step explanation:

Answer:

he should have 6

Step-by-step explanation:

14 + 7 -9r + 13r what is the awnser

Answers

Answer:

21+4r

Step-by-step explanation:

Combine like terms

(14+7)+(-9r+13r)

21+4r

The answer will be 21+4r

i need this answer really bad.

Answers

Answer:

Three times a variable added to a different variable divided by six is equal to two times the different variable minus the first variable.

Step-by-step explanation:

A proportional relationship is linear.
True or False

Answers

Answer:

True

Step-by-step explanation:

Yes, A proportional relationship is linear.

Please help I need help please

Answers

Step-by-step explanation:

There are 84% out of 225. First find 10%. To do that divide the number by 10, so 225 ÷ 10 = 22.5 Next, do 22.5 x 8. Then you have 80%. Now, all that is need ed is the 4%. To get that, divide 225 by 100. Multiply the answer by 4 to get the 4%. Add the 80% and the 4% to get your answer. I really hope this helps. answers

Also, since I am just helping, I am un able to give you straight answers. I hope this also helps with work in the future.

Please help!!!
If b⊥c and b⊥d, then c ? d

Answers

Answer:

C and D are parallel

Step-by-step explanation:

If b⊥c and b⊥d, then that means that they are both parallel because they both have a 90 degree anglewith line B.

Answer:

| | (Parallel)

Step-by-step explanation:

I'm assuming that is what it is asking. if b and c are perpendicular, that means they form 90 degrees on all angles. The same for b and d. So if both c and d are perpendicular to b, then they are parallel.

a) Which of these numbers is 8 less than -15?
7
-7
23
-23
A
B
с
D

Answers

-7 the answer is -7 yes

Answer:

-7

Step-by-step explanation:

y because i know so

What is the image of the point (2,3) after the transformation Ry-axis?

Answers

Answer:

The image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)

Step-by-step explanation:

We know that when a point, let say P(x, y), is reflected across the y-axis, the sign of x-coordinate is reversed but y-coordinate remains the same.

In other words, the rule is:

P(x, y) → P'(-x, y)

Here, P'(x, y) is the image of the original point P(x, y) after the reflection across the y-axis.

Considering the point

A(2, 3)

Let us reflect the point A(2, 3) across the y-axis.

We know the rule:

P(x, y) → P'(-x, y)

so

A(2, 3) → A'(-2, 3)

Thus, the image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)

40 POINTS THERE IS MORE THAN 1 ANSWER BRAINLIEST IF CORRECT
Which of the following statements are true regarding the direction of a number? Select all that apply.
A.It is the absolute value of the number.
B.A negative direction is to the left of zero on a horizontal number line.
C.Numbers have no direction.
D.A positive direction is to the right of zero on a horizontal number line.

Answers

Answer:

Whole numbers are also integers. There are other integers which are the opposites of the whole numbers (−1, −2, −3, ...). These negative numbers lie to the left of 0 on the number line. Integers are the whole numbers and their opposites.

Shela has $89 in her bank account. If she uses 30% of her money how mutch was the bill

Answers

Step-by-step explanation:

Sheila has $89 in her bank account original orihinally We want to determine the amount of money which she used to pay percentage a bill. This amount is expressed in terms of percentage of the original amount which she had in her bank.

She uses 30% of her money to pay a bill. Therefore, the amount she used to pay the bill =

30/100 89 = 0.3 ×89

= 26.70.

So Are Answer is 26.70

Solve the system of equations by substitution. What is the solution for x? (1 point)

2x + y = 1
4x + 2y = −2

Answers

Answer:

No Solution

Step-by-step explanation:

2x + y = 1

y = 1 - 2x

4x + 2(1 - 2x) = -2

4x +2 - 4x = -2

2 = -2

The statement is false, therefore there is no solution.

Two men are decorating a room. One has painted 20 m² and the
other only 6 m². They continue painting and manage to paint
another x m'each. If the first man has painted exactly three times
the area painted by the second man, find the value of x.

Answers

Answer:

1 m²

Step-by-step explanation:

The first man painted:

x + 20

The second man painted:

x + 6

If the first man painted 3 times more, then:

x + 20 = 3(x + 6)x + 20 = 3x + 183x - x = 20 - 182x = 2x = 1

helpppp ahhhhhhh plz

Answers

Answer:

It's Parallel

Step-by-step explanation:

Perpendicular have to intersect  

HELP! i need this done in 20 min

Answers

Answer:

No because when you divide a whole number by a fraction you always get a quotient that is smaller than the whole number.

Step-by-step explanation:

Answer:

Idk They are right

Step-by-step explanation:

Look a person on top and Give them them Big B

write and solve this equation: Samantha is one year less than twice her brother Jack’s age. If the sum of their ages is 41, how old is Samantha?

Answers

Answer:

Samantha's age = 27 years

Step-by-step explanation:

Let Jack's age be = x

As Samantha is one year less than twice her brother Jack’s age.

So Samantha's age = 2x-1

As the sum of their ages is 41.

Thus, the equation become

x+2x-1 = 41

3x-1 = 41

3x = 42

Dividing both sides by 3

x = 14

It indicates that Jack's age = 14 years

Therefore,

Samantha's age = 2x-1 = 2(14)-1 = 27 years

GUYS URGENT PLS HELP

Answers

V= πr^2h = cylinder volume equation

V=4 /3 πr^3 = volume of the shpere

use the equation and add them up

Ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ants, , to the number of ant legs . Elena writes a= 6L and Andre writes l=1/6a . Do you agree with either of the equations? Explain your reasoning.

Answers

Answer: Elena would be the correct answer

Step-by-step explanation: since ants have 6 legs and have 1 body we know that there are 6 legs for every 1 ant. hope this helps

The graph of the line y = 5x + 7 would cross what number on
the y-axis? How do you know?

Answers

Answer: 7

Step-by-step explanation: 7 is the y intercept in the slope intercept form. y=slopex+y-intercept

In a unit circle, ø = 270º. Identify the terminal point and sin ø.



A. Terminal point (0,-1); sin Ø=-1
B. Terminal point (0,-1); sin ø= 0
C. Terminal point (-1,0); sin Ø=-1
D. Terminal point (-1,0); sin Ø=ø

Answers

Using the trigonometric circle, it is found that the correct option regarding the terminal point and sin ø is given by:

A. Terminal point (0,-1); sin Ø=-1

What is the trigonometric circle?

It is a circle of radius 1 that contains the following set of points:

[tex](x,y) = (\cos{(\phi)}, \sin{(\phi)})[/tex]

The sine of 270º is of -1, hence the cosine is 0, which means that the correct option is:

A. Terminal point (0,-1); sin Ø=-1

More can be learned about the trigonometric circle at https://brainly.com/question/24349828

The terminal point and sin ø are (0,-1) and  sin Ø=-1.

What is the trigonometric circle?

It is a circle of radius 1 unit.

The sine of 270º is of -1, hence the cosine is 0, which means that

Terminal point (0,-1); sin Ø=-1

Thus, the correct option is A.

Learn more about the trigonometric circle

https://brainly.com/question/24349828

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Plz answer!! What is 35% of 75

Answers

It's 26.25.

Step-by-step explanation:

Hope this helps! :)

.34 times 75 is ~26

9[15-(3+4)] I don’t know how to do this problem and Photomath can’t solve it either

Answers

the answer is 72


you take 3+4 and get 7
then 15 - 7 which is 8
then whenever a number is outside the problem it means you multiply so, 9x8 =72

Answer:

72

Step-by-step explanation:

9[15-(3+4)]

9[15-7]

9[8]

72

Can someone pretty pls help

Answers

Answer:

3÷4 = 0.75

Step-by-step explanation:

We are to find:

3÷ 4

3÷4 =

= 3 ÷ 4

= 3 × 1/4

= 3 × 0.25

= 0.75

I JUST NEED HELP PLZZ
AND THANK YOU

Answers

Answer:

43

Step-by-step explanation:

Based on the pattern of the scatter plot, 43 seems to be the better option.

does anyone know this ?? could really use help :(

Answers

Answer:

AAS

Step-by-step explanation:

За + 16 = 5а
PLEASE HELP

Answers

Answer:

8 = a or a = 8

Step-by-step explanation:

3a+16=5a

-3a     -3a

16= 2a

/2    /2

8=a

Answer:

a = 8

Step-by-step explanation:

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