13. Solve 5x² - 6x + 1 = 0 using the quadratic formula.


please help me and show work

Answers

Answer 1

Answer: x= 1, [tex]\frac{1}{5\\}[/tex]

Step-by-step explanation:

The quadratic equation is

[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

and

[tex]x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]

So we just need to sub in the proper numbers from the equation given, in this case, it would result in

[tex]x=\frac{6+\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]

and

[tex]x=\frac{6-\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]

Once we get this we can either manually simplify or use a calculator, using a calculator would result in the answers

x= 1, [tex]\frac{1}{5\\}[/tex]


Related Questions

A light aircraft travels 6 miles per hour less than three times the speed of a van. If the van can travel 72 miles in the same time it takes the aircraft to travel 204 miles, then what is the average speed of each?

Answers

Answer:

Van: 36 mph.

Plane: 102 mph.

Step-by-step explanation:

x = speed of van

y = common time value

(3x - 6) * y = 204 // plane

x * y = 72 // van

3xy - 6y = 204 // plane simplified

We can now substitute 72 for xy in the equation above.

3*72 - 6y = 204 --> 216 - 6y = 204

We now subtract 216 from both sides.

-6y = -12

We now divide both sides by -1 to get rid of the negative sign & then divide both sides by 6 to simplify.

y = 2

If x*y = 72, then x = 72/y = 72/2 = 36.

Thus, the speed of the van is 36 mph.

We can find the speed of the plane by using the equation from earlier, 3x - 6.

3x - 6 = 3*36 - 6 = 108 - 6 = 102.

x/5=13
how do you solve for x​

Answers

Answer:

X=65

Step-by-step explanation:

X/5=13

X=13×5

=65

hope it helps!!!

help me solve this problem

Answers

Step-by-step explanation:

i don't get the question

THE STUDENTS ON THE SCHOOL NEWSPAPER ARE CONTRIBUTING MONEY FOR A GIFT FOR THEIR STAFF ADVISOR. THE COST PER STUDENT FOR THE GIFT VAIES INVERSELY AS THE NUMBER OF STUDENTS WHO CONTRIBUTE. iT WILL COST $6 PER STUDENT IF 12 STUDENTS CONTRIBUTE. HOW MUCH WILL IT COST PER PERSON IF 15 STUDENTS CONTRIBUTE

Answers

Answer:

ok

Step-by-step explanation:

Complete the slope-intercept form of this line.
y=-4x +

Answers

Answer:

It is y = -4x + 9

Step-by-step explanation:

General equation of a line:

[tex]y = mx + c[/tex]

For a y-intercept, c :

consider point (2, 1):

y is 1, x is 2 and m is -4

[tex]y = mx + c \\ 1 = (2 \times - 4) + c \\ 1 = - 8 + c \\ c = 1 + 8 \\ c = 9[/tex]

therefore, equation is:

[tex]y = - 4x + 9[/tex]

The complete form of the equation is y = - 4x + 9

The slope intercept form of the line is given as:

y = - 4x + c

Where c = intercept , we need to calculate, c

Take any given value of y and x and substitute into the equation, the solve for c

Take x = 1, y = 5

5 = - 4(1) + c

5 = - 4 + c

Add 4 to both sides

5 + 4 = - 4 + c + 4

9 = c

Hence, the complete form of the equation is y = - 4x + 9

Learn more : https://brainly.com/question/20976827?referrer=searchResults

-1 and 3 tenths plus 4 tenths

Answers

The answer you are looking for is -9/10, or -0.9.

Solution:

-1 3/10+4/10

-13/10+4/10

-9/10, or -0.9

Answer:

-0.9

Step-by-step explanation:

Christine’s video store membership costs $5, and it costs $3.50 to rent a DVD. Christine spent $29.50 her first month. How many DVDs did she rent? Write as an equation.

Answers

Answer:

7 DVDs

Step-by-step explanation:

Christine spent $29.50 in total, and $5 on the membership.

so the amount of money spent on DVDs is $29.50 - $5, or $24.50.

The number of DVDs she rent are $24.50 / $3.50 = 7 DVDs

Answer:

7 DVDs

Step-by-step explanation:

We can create an equation to found out how many DVDs she rents. Let d = number of DVDs she rents.

3.50d + 5 = 29.50

~Subtract 5 to both sides

3.50d = 24.50

~Divide 3.50 to both sides

d = 7

Best of Luck!

find the GCF from the two numbers and rewrite the sum using nthe distributive property

24 + 36

Answers

Answer:

The greatest common factor is 6.

Step-by-step explanation:

Greatest common factor is 6. If you use the distributive property then the answer would be 6(4) + 6(6) or 6(4+6). Then you distribute the 6 to each digit and should get 24+36.

Find any domain restrictions on the given rational equation x/x+4 + 12/x^2+5x+4 = 8x/5x-15

Answers

Answer:

x ≠ -4, -1, 3

Step-by-step explanation:

12/(x^2+5x+4) = 8x/(5x-15)

12/((x+1)(x+4)) = 8x/(5(x-3))

division by zero is undefined

There are 3 answers to your question. x= -1 x= 3 x= -4

Robins 15 18 27 30 cardinals 5 6 9 10 what’s the proportionality ratio of robins to cardinals

Answers

3:1 is the correct answer

Answer:

3:1

Step-by-step explanation:

The Robins' numbers are 3 times the cardinal's numbers, so therefore when simplified, the ratio is 3 to 1, 3:1, or 3/1.

This cube and cuboid have the same volume. The length, width and height of the cuboid are all different whole numbers. Suggest what they might be. 4 cm 4 cm width 4 cm height length ​

Answers

Answer:

4hdunzkzmfindudjdkzmd

Note: Enter your answer and show all the steps you use to solve this problem in the space provided. 6 × 5 + 3 × 8
Make it simple, please

Answers

Answer:

54

Step-by-step explanation:

6x5=30

3x8=24

30+24=54

if f(x)=3x+8/2x-Aand f(0)=2.what is the value of a?

Answers

Answer:

[tex]a=-4[/tex]

Step-by-step explanation:

Since [tex]f(x)=\frac{3x+8}{2x-a}[/tex], we have

[tex]2=f(0)=\frac{3(0)+8}{2(0)-a}=-\frac8a[/tex]

Taking the reciprocal gives

[tex]-\frac a8=\frac12[/tex]

Then multiplying by [tex]-8[/tex] gives

[tex]a=\frac12(-8)=-4[/tex]

I need help with this problem please

Answers

the perimeter is 38 units

Answer:

38

Step-by-step explanation:

10 + 4 + 2 + 9 = 25

That's the stuff we're given.

Now the other sides.

10 - 2 = 8,

9 - 4 = 5,

25 + 8 + 5 = 38

find the value of x

x = [?]

Answers

Answer

4

Step by step explanation

2/3=x/10-x

cross multiply

2(10-x)=3x

20-2x=3x

20=3x+2x

20=5x

x=4

Can anyone solve this linear equation with elimination method? Please its important!

Answers

Answer: x = 1 and y = -1

Explanation:



If your destination is 60 miles away, how many mph do you have to travel, in order to get there in 15 minutes

Answers

Answer:

4 miles per hour

Step-by-step explanation:

Examine the tile pattern at right

Answers

b. The pattern grow by adding 1 tile above the tile and adding 1 tile at the right of the tile.

c. In figure 0, there will be 1 tile. We know this because in each successive figures a tile is added at the above and a tile is added to the right, so ineach preceeding figure the same is reduced. In figure 1, there are e tiles, so in figure 0, there will be 3-2 = 1 tile.

help plsss . 10 points !

Answers

Your answer should be C :-)

Answer:

B

Step-by-step explanation:

(7×2)⁶

when we put a number to the power of something, we need to include the whole number. bit just a part of it.

so, it must be 7⁶×2⁶

just think about the simple example 6², which we could write as (2×3)².

would it be sufficient to e.g. square only one of the factors ?

6² = 36

but e.g. 2×3² = 18. so, that's really not it.

or add the two factors and then square them ?

2+3 = 5. 5² = 25. so, that's not it either.

or multiply the exponent in ?

2×3×2 = 12. so that's not it either.

no, it truly is you need to do the operation to all parts.

2²×3² = 4×9 = 36. yes, that fits.

therefore, B is the right answer.

The winning team's score in 5 high school basketball games was recorded. If the sample mean is 62.3 points and the sample standard deviation is 11.0 points, find the
98% confidence interval of the true mean.

A) 57.4 < µ < 67.2 B) 50.8 < µ < 73.8
C) 25.4 < µ < 99.2 D) 43.9 < µ < 80.7

Answers

Answer:

This is 3.747*11/sqrt(5)=18.4

the interval is (49.9,86.7), the SE added to and subtracted from the mean.

It is B

                          Thank You

what is the solution of linear equation of cosx(e^2y-y)=e^y sin2x

Answers

This is college? Woah I'm not advanced. Middle school!

Consider the set A with n(A) = 20.  How many subsets could be formed from this set?​

Answers

Answer:

There are [tex]2^{20}[/tex] subsets of [tex]A[/tex]

Step-by-step explanation:

Using the formula for the number of subsets of a given (finite) set, the number of subsets of [tex]A[/tex] is

[tex]2^{n(A)}=2^{20}[/tex]

The ratio of sugar to flour in Sydney's favorite recipe for chocolate chip cookies is 3 to 2. If Sydney used 20 tsp of flour, how many tsp of sugar did she use? ​

Answers

Answer:

30 tsp of sugar

Step-by-step explanation:

If 20 is 2 parts of the 5 parts  then 1 part is 10

 10x3 =30

   30 to 20    =  3 to2

6.5 / (2.2 x 3.6 / 7.92)

(pls help)

Answers

Answer:

6.89

Step-by-step explanation:

Do what's in the parentheses first then the rest and I rounded. Hope this helps!

How to solve 3/7m=6 ?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]m = 14[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'm'...}}}\\\\(\frac{3}{7}) m=6\\\\-------------\\\rightarrow (\frac{3}{7}m)7 = 6*7\\\\\rightarrow 3m = 42\\\\\rightarrow \frac{3m=42}{3}\\\\\rightarrow \boxed{m= 14}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

For what values of k will the equation 4x² + 8x + k = 0 have two complex solutions?

Answers

Answer:

k = -4x² - 8x

Step-by-step explanation:

Subtract 4x²  from both sides of the equation.

8x + k = -4x²

Subtract  8x  from both sides of the equation.

k = -4x² - 8x

Answer:

k > 4

Step-by-step explanation:

Using the discriminant to determine the nature of the solutions

• If b² - 4ac < 0 then the solutions are not real, that is they are complex

Given

4x² + 8x + k = 0

with a = 4, b = 8, c = k , then

8² - (4 × 4 × k) < 0

64 - 16k < 0 ( subtract 64 from both sides )

- 16k < - 64

Divide both sides by - 16, reversing the symbol as a result of dividing by a negative quantity.

k > 4

Any value of k greater than 4 will mean the equation has 2 complex solutions

what is four fifteenths times two thirds?

Answers

Answer:

Try 0.17? I hope it's right

Answer:

2 10/15 or 2 2/3 (simplified)

Step-by-step explanation:

To Multiply we need to get the same denominator for each fraction:

2 x 5 =10

3 x 5 =15

10/15

4/15 x 10/15 (or) 4 x 10 = 40/15

40/15 (also) = 2 10/15

2 2/3 (simplified version of 2 10/15)

Hope This Helps! :)

12.5 x 0.8

(without rounding and pls help me)

Answers

125* 8 = 1000
So answer
12.5* 0.8 = 10

Answer:

That’s simple 10

Step-by-step explanation

Let me know if I’m correct

hope this helps

Rational or Irrational: -4 √81

Answers

Answer:

it is rational

Step-by-step explanation:

Answer:

it's rational number

I hope it's helps you

Select the variable for the number of miles traveled last month. Conduct a hypothesis test to determine whether the mean miles traveled last month equals 10,000. Use the .01 significance level. Find the p-value and explain what it means.

Answers

look it up dum dum this app got me a f+ >:(

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