Use the quadratic formula to solve. SHOW ALL STEPS FOR FULL CREDIT. Make sure that the final answer has a simplified radical. 2x² -10x +3

Answers

Answer 1

Answer:

whats that

Step-by-step explanation:

Answer 2

Answer:

[tex]x=\frac{5+\sqrt{19}}{2}\text{ and } x=\frac{5-\sqrt{19}}{2}[/tex]

Step-by-step explanation:

If we have the standard form [tex]ax^2+bx+c[/tex], then we can use the quadratic formula:

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

First, let's identify our coefficients. We have [tex]2x^2-10x+3[/tex].

This can be rewritten as [tex](2)x^2+(-10)x+(3)[/tex].

Therefore, a=2, b=-10, and c=3.

Substitute these values into the quadratic formula. This yields:

[tex]x=\frac{-(-10)\pm\sqrt{(-10)^2-4(2)(3)}}{2(2)}[/tex]

From here, simplify. Evaluate the expression under the square root:

[tex]x=\frac{10\pm\sqrt{100-24}}{4}[/tex]

Evaluate:

[tex]x=\frac{10\pm\sqrt{76}}{4}[/tex]

Note that:

[tex]\sqrt{76}=\sqrt{4\cdot 19}=\sqrt{4}\cdot\sqrt{19}=2\sqrt{19}[/tex]

Therefore:

[tex]x=\frac{10\pm2\sqrt{19}}{4}[/tex]

We can factor out a 2 from both the numerator and the denominator:

[tex]x=\frac{2(5\pm\sqrt{19})}{2(2)}[/tex]

Simplify:

[tex]x=\frac{5\pm\sqrt{19}}{2}[/tex]

Therefore, our roots are:

[tex]x=\frac{5+\sqrt{19}}{2}\text{ and } x=\frac{5-\sqrt{19}}{2}[/tex]


Related Questions

Jacob spent $10 of the $25 in his wallet write a decimal that represents the fraction of the $25 Jacob spent

Answers

She she suvsuzsuz sue sh Sejm sis sue si sue.

HELP!!!!! what is the axis of symmetry for the graph of y-4x=7-x^2
A.x=2
B.y=2
C.x=11
D.y=11

Answers

A. x=2
From what I tried it could be right try it

Find the total distance from Mercury to Earth. HELP!

Answers

Answer:

5.67*10^7

Step-by-step explanation:

Since the distance from mercury to venus is 30,700,000, and the distance from venus to earth is 26,000,000, we can simply add these together to find the distance from mercury to earth:

 30,700,000

+26,000,000

__________

 56,700,000

Now, to convert it to scientific form, just multiply 10^7 (which is the number of digits-1) and 5.67. Therefore, the answer is 5.67*10^7


Solve the equation for y: -8x + 4y = 20
A)
y-2x5
B)
y = 2x + 5
y = 2x+5
1/3x + 20
D)
y =

Answers

Answer:

y=2x+5

Step-by-step explanation:

Sammi had 19 marbles and bob gave him 1/7 of his marbles now Sammi has 27 how many marbles did bob have originally?
pls help

Answers

Answer:

56

Step-by-step explanation:

27 - 19 = 8

8 x 7 = 56

The entire length of the Appalachian Trail is 2,160 miles. How long would it take you to hike the full length of the trail?

Answers

Answer:

Step-by-step explanation:

10hours

I can’t find answers to this question. Please help.

Answers

Answer:

Did you try looking it up

Step-by-step explanation:

sorry If I am wrong and don't forget to make me brainliest

-12.4 + 9.2 =
show work

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

First we have to line them up by the decimal points...

         -12.4

       +  9.2

           -3.2

That's all after you solved it you get -3.2

what is the slope of the line that passes through the points (5, -11) and (-9,17)?

Answers

the slope for points (-9, 5) (-17, 5) is m = 0
The slope that passes through the points (5,-11) and (-9,17) is -2. I hope this helps and Pls mark brainliest!

Which of these is it ?..

Answers

Answer:

D) all of the above

Step-by-step explanation:

If a line bisects another line, that means the length of the lines are equal

The lines are perpendicular because angle APR is 90 degrees

If the lines are perpendicular, then angle RPB is 90 degrees

Open-Ended Which of these situations can be represented by the opposite of 53? Use pencil and

paper. Describe two more situations that can be represented by the opposite of 53.

A book was 53 pages shorter than you expected.

Andrew spent $53.

The temperature was 53°F.

Jennifer sold 53 apples.

Select each situation that can be represented by the opposite of 53.

O A. Andrew spent $53.

OB. Jennifer sold 53 apples.

OC. A book was 53 pages shorter than you expected.

D. The temperature was 53°F.

Answers

Answer:

A book was 53 pages shorter than you expected

Jennifer sold 53 apples.

Andrew spent $53.

Step-by-step explanation:

The question proposed that we should determine which situation can be said to be the opposite of 53. From the listed option, we will realize that the following:

A book was 53 pages shorter than you expected

Jennifer sold 53 apples.

Andrew spent $53.

The above options are the opposite of 53. This is because a book that was shorter than expected will need to be refilled.

Suppose Jennifer has x apples, and She sold 53 apples out of it. It means x = -53, which is the opposite of 53.

Andrew spent $53; let say Andrew had y+$53. After spending $53, he has y = - $53, which is the opposite of 53.

But the temperature, which was 53°F, will still be at that position on the thermometer provided it is not being affected by external conditions.

Hi if you can answer this i'll mark u brainllest
Im really bad at mathhh :(

Answers

Answeredirrational, realRational, realReal, rational, integerRational, realNatural, whole, real, rational, integer

TRUETRUE

Not SureNot Sure

SORRY

Answered-90 - integers10/11 - Rational1,000- Natural Numbers

I did as much as I could, Hope I helped!!!

If you want I would really like it If I was brainliest

Find two numbers if their ratio is 9:11 and their difference is 6.

Answers

Answer:

Step-by-step explanation:

27,33

9*3 is 27

11*3 is 33

33-27 is 6

i only have one, sorry!

Answer:

Step-by-step explanation:

Let the larger number = y

Let the smaller number = x

x/y = 9/11

y - x = 6

Add x to both sides of the second equation

y = 6 + x

Substitute into the first equation

x/(x + 6) = 9/11

Cross multiply

11x = 9(x + 6)

Remove the brackets

11x = 9x + 54

Subtract 9x from both sides.

2x = 54

x = 54/2

x = 27

y = 27 + 6

y = 33

(27,33)

The way I've done it, there isn't a second pair.

I suppose you could do it this way.

9/11 = -27/-33

-27 - - 33 = 6

So the second pair could be

(-27, - 33)

: Susan works as a hostess where she makes $8.75 per hour. She also babysits and earns $10.00 per hour. Last week she made $165.00. If she worked 6 hours more as a hostess than she did babysitting, how many hours did she babysit last week?

Answers

Answer:

She worked 12 hours as a babysitter and hours 6 as a hostess

Step-by-step explanation:

She woks 6 hours and gets 52.20 as a hostess so if she worked 6 hours as a babysitter then she would make 60 and 165-60=105 and since she worked 6 hours as a baby sitter than she has to work 12 hours as a hostess to make 105  we know that 105+60 =165. Forgive me if I'm wrong but I hope this helps! [creds: cosmicredstone1]

Last week Karen spent $121.35 on food for her family. She only has $200 to spend every two weeks. How much does hse have left to spend?

Answers

Answer:

$78.65

Step-by-step explanation:

take 200-121.35=78.65

$78.65

Answer

Karen has $78.65 left to spend

A train leaves New Delhi at 4:00 p.m. and reaches Lucknow at midnight. Its speed is 55km/h. What is the distance between Delhi and Lucknow?

Answers

Answer:

[tex]\boxed{440 km}[/tex]

Step-by-step explanation:

→ Work out time between New Delhi and Lucknow

12:00 - 4:00 = 8:00

→ State the speed formula

Speed = Distance ÷ Time

→ Rearrange to make distance the subject

Distance = Speed × Time

→ Substitute in the values

55 × 8 = 440 km

Point Q (-3,2) is translated 4 units left and 2 units down. What is the ordered pair of Q' after this translation?
a.(-7,0)
b.(4,0)
c.(4,4)
d.(1,4)
e.(1,0)
(-7,4)

Answers

Answer:

A (-7,0)

Step-by-step explanation:

I just drew it cause it's way easier than typing out :)

simplify the following​

Answers

Answer:

D. 64 z^ 2

Step-by-step explanation:

Simplify the expression.

All of the following are reserved powers EXCEPT:
A.
establishing and maintaining schools
B.
regulating business within the state
C.
controlling Interstate and foreign trade
D.
establishing county and local governments



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

The correct answer is C. controlling interstate and foreign trade

Based on the Constitution, all of the above are Reserved powers except, C.  controlling Interstate and foreign trade

Reserved powers are those that are reserved for state governments and some of them are:

Establishing schools and maintaining them Regulating intra-state business Establishing local governments

Regulating interstate and foreign trade is the responsibility of the federal government as it does so on behalf of all states in a joint manner.

In conclusion, regulating foreign and interstate trade is not a reserved power.

Find out more at https://brainly.com/question/2013752.

please please help me!!

Answers

Answer:

g(x) = f(x+1) + 1

Step-by-step explanation:

Since the graph is only moved you don't have to worry about the slope.

To move the graph to the left you add to the x and in this case, it only moved 1 over.

to move the graph up you add to the whole function and in this case, it only moved up 1.

Alright then! First question!
A graph has height (inches) on the x-axis and arm span (inches) on the y-axis. Points are at (30, 27), (45, 45), (53, 50), (60, 60), (67, 70), and (73, 72).

Identify if there is a relationship between the variables.
(A) No, there is no relationship because the points are all up and down.
(B) Yes, the relationship displayed shows arm span increasing as height increases.
(C) Yes, the relationship displayed shows arm span decreasing as height increases.

Answers

Answer:

hmmm...i wanna go with B

Step-by-step explanation:

because it goes from 30 to 45 and 45 and 45 to 53 to 50 then the 50 goes 60 meaning their both increasing as it it goes on

at least i believe im right haha hope this helped if its not to  late

Answer: The answer is (B) Yes, the relationship displayed shows arm span increasing as height increases.

Step-by-step explanation: I got the answer correct hope this helps!

You are a contractor and charge $90 for a site visit plus an additional $24 per hour for each hour you spend working at the site. Write and solve an equation to determine how many total hours you have to work to earn $810 working at two separate work sites. Let the number of hours you work be y.

Answers

Answer:

x=29.66hrs

Step-by-step explanation:

Firstly, we can model the equation for the total cost as

Let y be the total cost

Let x be the number of hours

Y=98+24x

Also, given that you have earned $810

We can substitute Y=810 and solve for x

810=98+24x

810-98=24x

712=24x

Dividing both sides by 24

712/24=x

x=29.66hrs

I am to mental for this math... XD plz h e l p

Answers

The first choice -64/3

Answer:

a ≥ [tex]-\frac{64}{3}[/tex]

Step-by-step explanation:

You would solve this exactly as if the ≥ sign was an equal sign:

[tex](\frac{3}{4} )a[/tex] ≥ [tex]-16[/tex]   [Given]

3a ≥ -64   [Multiply 4 on both sides of the sign]

a ≥ [tex]-\frac{64}{3}[/tex]   [Simplify]

Hope this helps! I apologize if I'm incorrect

Which of the following is the best deal per candy bar?

Question 12 options:

5 candy bars for $4.00


4 candy bars for $2.80


10 candy bars for $7.20


2 candy bars for $1.50

QUICKLY PLZZZ

Answers

Answer:

the best deal is 4 candy bars for $2.80

Step-by-step explanation:

4/5= 80 cents

2.8/4= 70 cents

7.2/10= 72 cents

1.5/2= 75 cents

the best deal is 4 candy bars for $2.80

10x+y when x = 7 and y = 5

Answers

Answer: 75

Step-by-step explanation:

Plug in 7 for x and 5 for y

10(7)+5

70+5

75

Reduce the equation of straight line 2x+3y = 12 in double intercept form and hence mention its X-intercept and Y-intercept.​

Answers

Answer:

x intercept: (x,0)

y intercept: (0,y)

2x+0=12/÷2 0+3y=12/÷3

x=6 y=4

[tex] \frac{x}{a} + \frac{y}{b} = 1 \\ [/tex]

[tex] \frac{x}{6} + \frac{y}{4} = 1[/tex]

Han made some hot chocolate by mixing 4 cups of milk with 6 tablespoons of cocoa

Answers

tfff am I supposed to do about this

Heeelp Asap please

Has to be turned in at 7

Answers

Answer:

I think its 1/2 of the pizza

Step-by-step explanation:

Plz correct me if im wrong

Answer:

its 1/6

Step-by-step explanation:

1/4 of the pizza is left

joe eats 2/3 of the 1/4 which equals 2/12 or 1/6

Planets are constantly moving. In fact, the name planet means wanderer. What force(s) is responsible for the constant movement of the planets in our solar system?
A) inertia and gravity
B) gravity only
C) inertia only
D) friction


I know its not math

Answers

inertia and gravity

Please answer ASAP
Order Numbers From Least to Greatest

Answers

Answer:

Least 6.7x10-3     0.67    6.7%  6/9 Greatest

Step-by-step explanation:

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