solve the quadratic equation 2x^2-5x+1=x+4​

Answers

Answer 1

Answer:

Step-by-step explanation:

Combine like terms in 2x^2-5x+1=x+4:  2x^2 -6x - 3 = 0

The coefficients of this quadratic are {2, -6, -3}.  Apply the quadratic formula.  Start by finding the discriminant, b^2 - 4ac:

b^2 - 4ac = (-6)^2 - 4(2)(-3) = 36 + 24 = 60

Because the discriminant (60) is positive, we know that this quadratic has two real, unequal roots:

      -(-6) ± √60          6 ± (√4)(√15)

x = -------------------- = ----------------------

             2(2)                         4

or:

      6 ± 2√15            3 ± √15

x = -----------------  =  ----------------

              4                       2


Related Questions

I need help pls and sorry there is an answer marked it’s because by accident I press it but pls help me

Answers

Answer:

2

Step-by-step explanation:

because the outer line is one line and the triangle in other line

Answer:

3

Step-by-step explanation:

There is a line of symmetry from each vertex of the triangle through the square opposite it. I can't draw it out here but there's one going straight down the middle, another going from the triangles leftmost point through the right hand square and another from the triangles rightmost point through the left hand square.

Madison draws an isosceles triangle with side lengths of 10 inches, and the angle between them of 50°. Can you find the measures of the other angles based on this information? Explain your answer.
S.O.S !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

120

Step-by-step explanation:

add 50+10=60

then 180-60=120

Two years ago, the average number of customers in your all of your company's stores per week was 3173 customers. This figure had increased 6% over the previous two years. Assume that you are doing a current study to test the claim that the mean weekly number of customers is different than it was two years ago. Assume a population standard deviation of 1,550 customers. Suppose you look at a random sample of 73 stores and find an average weekly customer total of 3,391. You wish to test the claim stated above at the 0.10 level. Run the appropriate hypothesis test.

Required:
Write ONLY the conclusion to your hypothesis test.

Answers

Answer:

Accept the null hypothesis

Step-by-step explanation:

Two years ago, the average number of customers in your all of your company's stores per week was 3173 customers. Assume that you are doing a current study to test the claim that the mean weekly number of customers is different than it was two years ago.

The null hypothesis is:

[tex]H_{0} = 3173[/tex]

The alternate hypothesis is:

[tex]H_{A} \neq 3173[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Due to our test, we have that [tex]\mu = 3173[/tex]

Assume a population standard deviation of 1,550 customers.

This means that [tex]\sigma = 1550[/tex]

Suppose you look at a random sample of 73 stores and find an average weekly customer total of 3,391.

This means that [tex]n = 73, X = 3391[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{3391 - 3173}{\frac{1550}{\sqrt{73}}}[/tex]

[tex]z = 1.24[/tex]

p-value:

Since we are testing if the mean is different of a value, and the z-score is positive, the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 1.24.

z = 1.24 has a pvalue of 0.9251

2*(1 - 0.9251) = 2*0.0749 = 0.1498

0.1498 > 0.1, which means that we accept the null hypothesis, that is, that the mean weekly number of customers is equal to what it was two years ago at the 0.1 level of significance.

Complete the tables of values.
5)
44
-1
- 1
4
O
d
0
d
2
b
2.
*
4
('
4.
d
b =
d at

Answers

.....................

Simplify by combining like terms (3x2-5x- 6x)+(5x2+4x+4)

Answers

Step-by-step explanation:

I hope this helps. ans:9x+4

after 3 new students joined, the class had 26 students. which equations can be used to find n, the number of students in class before the 3 new students joined?

Answers

Answer:

23 were there

Step-by-step explanation:

26 - 3 = 25

helped

A: 3n =26

B: n - 3 =26

C: n + 3 =26

D n/3 =26

Plot 7 + 3i in the complex plane.

Answers

Answer:

See attached image

Step-by-step explanation:

In the complex plane, the x-axis represents real numbers and the y-axis represents imaginary numbers.

2(x-5) -6=-18 please help asap

Answers

Answer:

x = -1

Step-by-step explanation:

2 (x - 5) -6 = - 18

2 (x - 5) = - 12

x - 5 = - 6

x = - 1

Answer:

x=-1                          

is what the answer is to X

someone please help on this homework question

Answers

Answer:

25%, 40 trees, 50%, 36 trees

Find the area of sector TOP in
O using the information given below.
r=9m, mTP=189

Answers

Answer:

I believe that the answer is 1701 m² sorry if don't get it right


Rewrite the equation by completing the square.
x2 + 7x + 12 = 0

Answers

Answer:

9x²+12=0

Step-by-step explanation:

What is the least common denominator of 11/14 and 11/15

Answers

Answer:

210

Step-by-step explanation:

210 is the least common multiple of 14 and 15

What is the angle of AHM?

Answers

154 degrees; when you add up the two angles you get 154 subtract that from 180 which is the sum of a triangle. You should get 26 for the third angle of the triangle. when you extend the segment if MH you form an X the acute angle of the X are 26 to find H you subtract 26 from 180 since a straight line is 180 and you get 154 for the abtuse angles which is also H
154 degrees i had this question before

Write an expression equivalent to 2/3 (x-6)​

Answers

Answer:

2/3x-4

Step-by-step explanation:

2/3*x=2/3x

2/3*6=4

What is the area of 3/4 of a circle?
(With a radius of 2)

Answers

Answer: 12.57

Step-by-step explanation: I got u

need help fast thanks

Answers

Answer: AOS: x =3 Vertex at (3,2)

Step-by-step explanation:

Find the equation of the line with slope m=−12 that contains the point (2,−4).

Answers

Answer:

y=-12x+20

Step-by-step explanation:

-4=-12(2) +b

-4=24+b

(add 24 both sides)

20=b

slope: -12

y intercept: (0,20)

Answer:

y + 4 = -12(x - 2)

Step-by-step explanation:

Use the point-slope formula for the equation of a straight line:

y - k = m(x - h)

Here m = -12, h = 2 and k = -4, and so we have:

y + 4 = -12(x - 2)

there are 3 consecutive even integers. three times the smallest is twice the largest. what are the integers

100 poi's SOLVE FAST PLZ AND I WILL GIVE BRAINLEITS I PORMISE

Answers

Answer:

8,10,12

Step-by-step explanation:

Answer:

integer 1 = 8

integer 2 = x+2 = 8+2 = 10

integer 3 = x+4 = 8+4 = 12

Step-by-step explanation:

integer 1 = x , smallest

integer 2 = y , x+12

integer 3 = z , largest, x+4

three times the smallest is twice the largest.

3 (x) = 2 (x+4)

solve for x:

3x = 2x + 8

3x-2x = 8

x = 8

Replacing:

integer 1 = 8

integer 2 = x+2 = 8+2 = 10

integer 3 = x+4 = 8+4 = 12

I just need brainliest please

Answers

Answer:

alright if you give me brianliest on this, when you answer one of my questions ill give you brainliest. brailiest for a brianliest?

Step-by-step explanation:

Answer

Catfishing, In LOl rate 0-10 Im bored

Step-by-step explanation:

When simplifying radical expressions, what combination of factors are you looking for and why?​

Answers

Before we can simplify a radical expression, we must know the important ... The idea here is to find a perfect square factor of the radicand, write the radicand as a ... Sometimes we need to use a combination of steps.

Am bad at math I don’t get this

Answers

Answer:

x=35 y=18

Step-by-step explanation:

We have two triangles. These triangles are Similar as stated in the statement. Since they are similar, there side length will be in proportion.

To find x and y we need to set up a proportion of the corresponding sides of the triangles.

Let find the corresponding sides of both triangle.

JK corresponds with NM

KL corresponds with ML

JL corresponds with NL

To find side x we can use this proportion

JK/KL=NM/ML

Plug in the lengths

[tex] \frac{40}{kl} = \frac{16}{14} [/tex]

Cross multiply

[tex]560 = 16kl[/tex]

Divide by 16

[tex]kl = 35[/tex]

so x=35

Now to find y use this proportion

JL/JK=LN/NM

[tex] \frac{45}{40} = \frac{y}{16} [/tex]

Cross multiply

[tex]720 = 40y[/tex]

[tex]y = 18[/tex]

Answer:

X = 35

Y = 18

Step-by-step explanation:

The triangles are similar meaning that they are scaled up and down differently. ( and in this case rotated) Notice the shape of the triangles. The side measuring 40 in the larger triangle correlates to the side measuring 16 in the smaller triangle. We can use this to find the scale difference between the two triangles. 40/16 = 2.5. The larger triangle is scaled up 2.5 times the smaller triangle. X correlates to the side measuring 14. Scale 14 up 2.5 times. 14* 2.5 = 35, so x= 35.

Y correlates to the side measuring 45. Scale 45 down 2.5 times. 45/2.5 = 18. Y = 18

Find the value of x.
(Do not include the degree symbol in your answer. Round to the nearest degree as needed)

Answers

Answer:

X = 49.4

Step-by-step explanation:

Tan x = 7/6

Tan x = 1.1667

X = 49.4 degrees

Shade the fraction circles to represent each mixed number.. 1 3/5 +2 2/5 equals

Answers

Answer:
1 3/5 + 2 2/5= 4

What does the point (12,4) represent in this situation?

Answers

Answer:

what is the situation?

Step-by-step explanation:

The function f(3) = 50.000(0.975)", where x represents the underwater
depth in meters, models the intensity of light below the water's surface in lumens per
square meter. What is the intensity of light 200 meters below the surface

Answers

9514 1404 393

Answer:

  316 lumens/m²

Step-by-step explanation:

We assume your intensity function is ...

  f(x) = 50,000(0.975^x) . . . . x meters below the surface

__

Use 200 for x and do the arithmetic.

  f(200) = 50,000(0.975^200) ≈ 316 . . . . lumens/m²

39. Find the circumference of a circle with radius of 18 in. Leave your answer in terms of pi
324pi In.
54pi in
36pi in.
18pi in.

Answers

Answer:

36pi

Step-by-step explanation:

multiply the radius by 2 to get 36 but dont multiply by pi just put 16π

Answer:

36pi in

Step-by-step explanation:

I figured out what was wrong thanks to the comment up top.

they just want the diameter why didnt they say that :/

The student council starts the year with a balance of $-15 (they were in debt). It comes up with the idea to sell tickets to a student versus teacher mud fight. The student council fund is now growing by $15 a minute.

1. After 9 minutes of mud fight ticket sales, what was the balance?
2. How many minutes did it take before the student council was able to pay off their debt?

Answers

Answer:

sorry di ko din po knows

Step-by-step explanation:

sorry tagala

Answer:

1. Is 12

Step-by-step explanation:

start -15

tickets $15

min 9

remember you started -15 so the first 15 got you into positive so that one doesnt count wich means you now have to miltiply 15*8=120

plz is this correct
?

Answers

Answer:

It's 3 and 177.

Step-by-step explanation:

Let the angle be x°. Then its supplementary is 59x°.

We know,

x+ 59x=180

or, x = 3°

and another angle, 59x°= 177°

0.5 divided by 0.05 plz show work

Answers

Answer:

Step-by-step explanation:

Answer: 10

working below!

Rashawn kept a record of how many hours he spent listening to music for 6 days during school vacation and displayed his results in the table below.



On Sunday, Rashawn listened to music for 12 hours. Should he use the mean or median to describe the data for the entire week?

Which statement explains whether the mean or median is the better measure of center?

A. The mean is the better measure because Rashawn listened to music the median number of hours on only 2 days of the week.

B. The mean is the better measure for the entire week because their is no outlier.

C. The median is the better measure because the mean is affected by the outlier.

D. The median is the better measure because almost all of the data points are between 6 and 7.

Answers

Answer:

B. The mean is the better measure for the entire week because their is no outlier.

Answer: C The median is the better measure because the mean is affected by the outlier

Other Questions
Amy rolls a number cube ten times and gets 3 four times! If she rolls the number cube 240 times, how many times should she get a 3 (Hint: Should her results be used, or the theoretical probability?). A jug holds 5 gallons of water.How many jugs can Mark fill with 23 gallons of water? Explain Help thank I will give you brainlist please answer this correctly 4. What role do carrier proteins play in facilitateddiffusion? What inequality matches the statement : A number is at most 40 9What is the slope of the line whose equation is 2x 4y = 9?a) 12c) 2d) 3solotion Anyone have geometry A in connections academy? need help with something. The Spanish Civil War ended in a victory for A)communismB)the loyalistsC) democracy D)fascism help pls im trying to figure out my money i'm saving for a phone ill give brainliest if u can help. i have $16 rn and on march 12th is the 1st day of allowance which is $5 after the end of that week. ill get $5 every week. how long will it take for me to get $303? 1. choosing an appropriate sample size is depends on A. the level of confidence desired B. the variability in the population being studied C. the maximum allowable error D. all of the above E. non off the above CAN YALL FOLLW ME ON SPOTIFYPLEASE ADD PROOF SO I CAN MARK U BRAINLIEST!!!!!! A 23 year old male patient is admitted to the emergency department after a motorcycle accident. He was not wearing a helmet, but is alert and awake. He reports having double vision and trouble breathing to the ER physician. Why might the patient have dyspnea and what can be done to protect his airway.What diagnostic tests should be ordered to determine the cause of the symptoms?What surgical procedure might be performed, and is this an emergent case? Find the solution to the equation 4x + 17 = 23 Find the surface area of the pyramid. The side lengths of the base are equal. 0.45x10=yuhhhhhhhhhhhhhhhhhhhhhhhhhh How do they disguise the cameras placed around the secret cove? The speaker says ...Id often sing to the hateful thing How is the speakers mindset changing? (Hint: He did hate the corpse. Now think about how he is interacting with the corpse and if this is normal.) Give an example of a conversation with poor communication. Give an example of How the communication/conversation could have gone better. 19. Elein and Naya wanted to meet between theirhouses at midpoint (4,1). If Elien's house is at pointA. (7,-1.5)(10,-4).B. (-2,6)Find the coordinates of Naya's house.C. (0,0)