solve the quadratic y = −x^2 + 4x + 1 with steps plz!

Answers

Answer 1

Answer:

x = -0.24 or 3.73

Step-by-step explanation:

[tex]\frac{-b + \sqrt{b^{2} -4ac } }{2a}[/tex] (There's supposed to be a ± between '-b' and the square root)

[tex]x^{2}[/tex] + 4x + 1 ( [tex]ax^{2} + bx + c[/tex] )

a = -1 ( there's no number before [tex]x^{2}[/tex] so its 1 )

b = 4

c = 1

Substitute into the quadratic equation.

[tex]\frac{-4 + \sqrt{4^{2} -4x1x-1 } }{2x-1}[/tex] ( the [tex]x[/tex] is just the multiplication sign )

=  [tex]\frac{-4 + \sqrt{{16} +4 } }{-2}[/tex]

[tex]\frac{-4 + \sqrt{{20} } }{-2}[/tex] = -0.24    [OR]     [tex]\frac{-4 - \sqrt{{20} } }{-2}[/tex] = 3.73

( The answers are to 2 decimal places )


Related Questions

1. 4(2x + 3) = 36
Thanks please help with this

Answers

Answer: x=3

Step-by-step explanation: Hope this help :D

Answer:

x=3

Step-by-step explanation:

4(2x+3)=36

8x+12=36

8x=24

x=3

HELLLLLP MEEEE IDENTIFY THE HEIGHT

Answers

Answer:

11

Step-by-step explanation:

The height is 11 inches.

Regina wants to donate 15% of her paycheck to charity. If she receives a paycheck of $300, how much money will she donate?

Answers

Regime would donate $45 to charity.

can u PLEASE stop ignoring me i really do need help): try#7263738 of trying to get help lol

Answers

Answer:

SSS for the top one

SSS for the second one

Step-by-step explanation:

PLEASEEEEEEEEEEEE HELPOPPBMEEEEE

Answers

Answer:

The answer is 7.14

Step-by-step explanation:

good luck

I need help on this right now please help ASAP!!!

Answers

Answer:

C would be your answer

Step-by-step explanation:

Answer C, Over and Up

i need to know what 7 3/4 x 3 5/7 is please help me

Answers

Answer: 7 3/4 x 3 5/7 is 28 11/14

Step-by-step explanation:

7 3/4 x 3 5/7

31/4 x 26/7

806/28

403/14 or 28 11/14

Answer:

44 2/7

Step-by-step explanation:

Turn into improper fractions

31/4*40/7

Cross Multiply (4 and 40)

31/1*10/7

Now multiply

310/7

Simplify

44 2/7

Hope this helps!!!

Have a great day!!!!

The line y = mx + c passes through the points (-2, 1) and (4,4).
Write down a pair of simultaneous equations involving m and c.
Solve the simultaneous equations.

Answers

Answer:

Step-by-step explanation:

Insert x for -2 & 4 and y for 1 & 4

1=-2m+c, 4=4m+c

solve the equation, m=1/2, c=2

Answer:

y = 1/2m + 2

Step-by-step explanation:

1 = -2m + c (1)

4 = 4m + c (2)

 2 = -4m + 2c (1*)

(1*) + (2) =  6 = 3c

                 c = 2

y = mx + 2

4 = 4m + 2

2 = 4m

m = 1/2

so y = 1/2m + 2

             

what are two factors of 12 whose sum is 7

Answers

Answer:

Well it will be 7+5=12 and 6+6=12

Step-by-step explanation:

The two factors of 12 whose sum is 7 are 4, 3.

What is meaning of factors ?

Those numbers which can completely divide a number such that the remainder is zero are called factors of the number they divide.

The number given is

12

The factors of 12 are 1, 2, 3, 4, 6, 12.

The two factors of 12 whose sum is 7 are 4, 3

4+3 = 7

Therefore ,The two factors of 12 whose sum is 7 are 4, 3.

To know more about Factors

https://brainly.com/question/24182713

#SPJ2

Which of the following are the sines for the angles of this triangle? Select all that apply.

Answers

Answer:

Answer attached

Step-by-step explanation:

(2x-50)
(x+40)
150°
80°
(x+20)



That 80 is not the correct x

Answers

Answer: x=120

Step-by-step explanation:

(2x-50)+(x+40)+150+80+(x+20)+90= 720

4x+330= 720

4x=390

x=97.5

x=120 is your answer have a great day

solve for x

x- 5/3=1​

Answers

Answer:

x = 8/3 or 2 2/3

Step-by-step explanation:

x - 5/3 = 1

x - 5/3 + 5/3 = x

1 + 5/3 = 8/3 or 2 2/3

x = 8/3 or 2 2/3

Answer:

x = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given

x - [tex]\frac{5}{3}[/tex] = 1 ( multiply through by 3 to clear the fraction )

3x - 5 = 3 ( add 5 to both sides )

3x = 8 ( divide both sides by 3 )

x = [tex]\frac{8}{3}[/tex]

(a) All even numbers are divisible by 2.​

Answers

Answer:

All even numbers are divisible by 2

A designer decides to create a larger scale model of a smart phone so that his team can work more easily on the design. The length of the screen of his model is 60 centimeters, which is 2.5 times longer than it is wide. The designer asked his team to build the screen of the actual phone with a width of 6 centimeters. What is the scale factor of the model phone to the actual phone?

Answers

Answer:

The length of the model is 250% of the width and is 60 centimeters, and the width of the actual phone is 6 so it has a scale factor of 4:1.

Hope this helps!

There are two mystery numbers. The sum of 2 times the first number and 5 times the second number is -5. The sum of 3 times the first number and 10 times the second number is -5. What are the two numbers?

Answers

Answer:

the two numbers are -5 and 1

Step-by-step explanation:

Let x and y be the first number and second number respectively.

According to the question, we can find 2 equations:

2x + 5y = -5

3x + 10y = -5

On solving,

x = -5

y = 1

Answer:

X=-5,Y=1

Step-by-step explanation:

First equation: 2X+5Y=-5

Second equation:3X+10Y=-5

If we subtract the first from the second equation

(3X+10Y)-(2X+5Y)= 0 so, X+5Y= 0

So X= -5Y .then substitute in the second equation

So ,3(-5Y)+10Y= -5 , therefore -15Y + 10Y=-5 so, -5Y=-5 which means that Y=1

Then substitute with that in the first equation so 2X+5= -5

2X= -10 therefore X=-5

which of these expressions will return the same value for PV

Answers

Answer:

C

Step-by-step explanation:

Help me with this!!!

Answers

Answer:

it is 300 i think

300.

The midpoint is 300 because the distance from the 2 points is 100 so 300.

A fitness trainer sets the incline on a
treadmill to 7º. The walking surface is 5
feet (60 inches) long. Approximately how
many inches did the trainer raise the
end of the treadmill from the floor?

Answers

Answer:

Step-by-step explanation:

sin Ф equal the opposite leg of the triangle dividend by the hypotenuse

sin Ф = opp / hyp

the problem gave you the Ф (the angle 7°)

and the length of the hypotenuse (the walking surface 60 inches)  

You want to use the inches since the question wants to know how many inches off the floor is the end of the walking surface

sin 7 = opp / 60          solve for opp

60 × sin(7) = opp             use your calculator,   I don't have one handy

What values of x solve x 2 - 4x + 3

Answers

Answer:

x=1 and x=3

Step-by-step explanation:

When you factor it you get (x-1) and (x-3) then you subtract the 1 and 3 to the other side which is why the answer is positive.  

Answer:

x = 1, x = 3

Step-by-step explanation:

Equate the expression to zero, that is

x² - 4x + 3 = 0 ← in standard form

(x - 1)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 3 = 0 ⇒ x = 3

Are my answers for the conditional statement correct? I would just like to check them and if they're incorrect, could you let me know how to fix them? Thank you.


Statement: If I brush my teeth twice a day, then I will not get cavities.


Inverse: If I don't brush my teeth twice a day, then I will get cavities.
Truth Value: True

Converse: If I don't get cavities, then I am brushing my teeth twice a day.
Truth Value: True


Contrapositive: If I get cavities, then I am not brushing my teeth twice a day.
Truth Value: True

Answers

Statement: If p, then q

Inverse: If q, then p

Converse: If not p, then not q

Contrapositive: If not q, then not p.

We can see from the statement that p = brush teeth twice a day and q = not get cavities.

Thus:

Inverse: If I don't get cavities, then I brush my teeth twice a day. FALSE (for example, I might floss extra well instead. Brushing my teeth twice a day is not the only way to avoid cavities)

Converse: If I don't brush my teeth twice a day, then I get cavities. FALSE (for example, I might not eat a lot of sugar and thus I don't get cavities)

Contrapositive: If I get cavities, then I did not brush my teeth twice a day. TRUE

If this confuses you, try the example of p = cat and q = four legs. (i.e. the statement is If this is a cat, it has four legs). Try making the inverse, converse, and contrapositive, and see the truth of those statements.

someone pls help thank you so much if you do!!

Answers

I think that its 80% not sure tho

Can someone help me

Answers

the range is the difference between the largest number and the smallest, so 98-65=33

9. The ratio of boys to girls in Mrs. Reeves's class is 4 to 5. There are 20 girls in the
class.
What is the total number of students in Mrs. Reeves's class?

Answers

Answer:

boys : girls

4 : 5

multiply by 4

16 : 20

total = 36

Answer:

80

Step-by-step explanation:

Help pls for brainlest and extra points i need done soon

Answers

Answer:

5/6= 10/12

12/100<10/12

If the diameter of the tennis ball is 2.6 inches, what is its circumference, in inches?

Answers

Answer:

8.164

Step-by-step explanation:

The circumference of the ball is 8.164 inches.

Calculation of the circumference:

Since the diameter of the tennis ball is 2.6 inches

So here the radius should be half i.e. 1.3 inches

Now we know that

Circumference = [tex]2\pi r\\\\[/tex]

= 2(3.14)(1.3)

= 8.164 inches

Therefore, we can conclude that The circumference of the ball is 8.164 inches.

Learn more about circumference here: https://brainly.com/question/15673093

Ms. Jackson bought a new car. It cost $9,360. She paid 10% As a down payment. How much was her down payment?

Answers

Answer:

$936

Step-by-step explanation:

10% is just divided by 10 so 9360 divided by 10 is 936

Evaluate 11.3v + 10.7w when v=7 and w=8

Answers

Answer:

11.3(7)+10.7(8)=79.1+85.6

=164.7

Geometry question, help ya girl out

Answers

Answer:

A=36 a means area

Step-by-step explanation:

A=a+b/2

h=6+12/2

times 4=36

Answer:

=36cm^2

Step-by-step explanation:

6-12=6 (total cm of the bases for triangle B and C)

6/2= 3 (base of B and C trialngleis 3  )

Triangle formula: bh 1/2

(base)b= 3cm

height(h)=4

Formula: (3)(4) 1/2

=12 1/2

=6cm^2

^ area of 1 triangle

There are 2, so

6*2=12cm^2 (area of triangles )

Area of rectangle: L*W

4*6=24cm^2

Total area of trapezoid

=24cm^2+12cm^2

=36cm^2

3
Discuss TWO ways in which some cultural views that ex
a relationship negatively.
.4
Compare TWO ways in which destructive relationships ir
well-being as opposed to constructive relationships.
1.5
Recommend TWO ways in which women and children ca
protected from discrimination and violence.
1.6
Read the statement below and answer the question that
"Only 52 per cent of women married or in a un
make their own decisions about sexual relations​

Answers

Answer:

There are as many definitions of empire as there have been empires, but some pretty familiar elements appear in most of them. It starts with working on our “control issues”.

The two ways in which some cultural views may negatively affect a relationship are:

The notion that females should be domesticated and submissive has made them to be sometimes inferior in relationships.The view of male partners as a totalitarian leader (head) makes them to develop excessive ego and pride in relationships.

What is a relationship?

A relationship refers to a continuous and often committed interaction (association) that typically exist between two (2) or more people, which may either be platonic, romantic (intimate), negative, or positive.

In Sociology, there are four (4) main types of relationships and these include the following:

Family relationshipsRomantic (intimate) relationshipsFriendshipsAcquaintanceships

In conclusion, it is evident that some cultural views or perceptions may have a negative impact on a relationship.

Read more on relationships here: https://brainly.com/question/25862883

Write an equivalent expression to
3² x 15 x 54

Answers

Equivalent Expression: 9x + 15x = 54

Step-by-step explanation:

First, yo would do 3^2 which is 3 times 3 equals 9.

So, it would be 9x + 15x = 54

Then, you combine like terms, 9x + 15x

So 9+15= 24x

Last, would be 54 = 24x

divide by 24 onto both sides and then x will be by itself and then it will give you an answer.

Answer: 2.25

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