HELP ASAP!!!
What are the exact solutions of x2 − 3x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a?

x = the quantity of 3 plus or minus the square root of 5 all over 2
x = the quantity of negative 3 plus or minus the square root of 5 all over 2
x = the quantity of 3 plus or minus the square root of 13 all over 2
x = the quantity of negative 3 plus or minus the square root of 13 all over 2

Answers

Answer 1
Answer:  Choice C

Explanation:

The given equation is in the form [tex]ax^2+bx+c=0[/tex], where,

a = 1b = -3c = -1

Use the quadratic formula to get the following

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-3)\pm\sqrt{(-3)^2-4(1)(-1)}}{2(1)}\\\\x = \frac{3\pm\sqrt{9+4}}{2}\\\\x = \frac{3\pm\sqrt{13}}{2}\\\\[/tex]

The last equation matches with choice C.


Related Questions

[tex]\frac{7}{10} - \frac{2}{5}[/tex]

Answers

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

First, we need to make the denominators the same.

[tex]\frac{7}{10} -\frac{2}{5} =\frac{7}{10} -\frac{2*2}{5*2}=\frac{7}{10} -\frac{4}{10}[/tex]

Then, we subtract the numerator.

[tex]\frac{7}{10} -\frac{4}{10} =\frac{3}{10}[/tex]

Find the LCD (lowest common denominator) of 10 and 5.
LCD of 10 and 5 is 10.
5 x 2 = 10 so, 2 x 2 = 4 because whatever you do to the denominator, you do to the numerator.
7/10 - 4/10 = 3/10

Steel is a mixture of iron, carbon, and other elements. The table shows the number of parts each element in two different-sized samples of steel.

A table with the composition of two samples is shown. Sample one is ninety parts iron, three parts carbon, and seven parts other elements. Sample two is forty-five parts iron, one and a half parts carbon, and three and a half parts other elements.

Question 1
Part A

What is the unit rate of parts iron to parts carbon?

Enter the correct answer in the box.

parts iron per part carbo

Answers

Answer:

Step-by-step explanation:

Sample One, Parts and %      Sample Two, Parts and %

 Fe    90          (90%)                           45             (90%)

   C      3           (3%)                               1.5              (3%)

Other   7            (7%)                            3.5             (7%)

          100 parts                           50 parts

Parts Fe/Parts Carbon = 90/3 or 30/1  in both cases [45/1.5 = 30/1]

Please help with algebra question on empirical rule!!

Answers

Answer:

Step-by-step explanation:

The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.

What is 66% of 350? helpp​

Answers

Answer:

231

Step-by-step explanation:

Answer:

Write 66% as  

66/100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

66/100

of 350 =  

66/100× 350

 

Therefore, the answer is 231

If you are using a calculator, simply enter 66÷100×350 which will give you 231 as the answer.

Step-by-step explanation:

6-4x=7x-9x+2 whats the value

Answers

Answer:

x=2

Hope it's help

Brainliest plz

Answer:

x=2

Step-by-step explanation:

first collect the like term that is

6-2=7x-9x+4x

4=2x divide bothe sides by 2

X=2

What is the slope of the line?
3x-4y=73x−4y=7

Answers

Answer:

67x-7y2x-f8

Step-by-step explanation:

What’s the answer to 2(x+3)

Answers

Hello there!

This isn't an equation, but here are some options for what you may be looking for!

Product, Multiplying, Evaluating, and Simplified Form: 2x + 6

Factor: 2(x+3)

Hope I helped,

Brainliest is always appreciated.

Happy Holidays.

50 points!!! help fast! 50 points!!!

Answers

Answer:

∠PQC = 26.25°

Step-by-step explanation:

∠B and ∠C = 75°∠PCD = 1/2∠C = 37.5°∠DPC = 180 - 90 - 37.5∠DPC = 90 - 37.5∠DPC = 52.5°∠QPC = 180° - 52.5° = 127.5°

Finding ∠PQC

1/2 × (180° - 127.5°)1/2 × 52.5°∠PQC = 26.25°

Answer:

This calculator is helpful for deciding how many tablets/capsules to dispense and/or how many days the dispensed quantity will last. It will calculate quantity of tablets/capsules needed

Step-by-step explanation:

Please help! please find the answer!

Answers

Answer:

I’m pretty sure it’s the bottom one

Step-by-step explanation:

I think it’s the last one on the bottom I’m not completely shure tho

how do i simplify these expressions?
. 3x x 4y
. 2p x 3q x 5r

Answers

Answer:

[tex] \\• \tt \: 3x \times 4y[/tex]

[tex] \\ \tt = 12xy[/tex]

[tex] \\ \tt • \: 2p \times 3q \times 5r[/tex]

[tex] \\ \tt = 30pqr[/tex]



4.) Mr. Lakey is a taxi cab driver. He earns $5.00 hour plus tips. One week he works 40
hours, receiving $287 in tips. Find his weekly gross income.

Answers

Answer:

120$

Step-by-step explanation:

Solve for x:

x+1/4 = 5/8

STEP 1: Cross multiply and write the new equation: ________

STEP 2: Add/Subtract on both sides and write the new equation: _______

STEP 3: Divide both sides of the equation and write the solution:
x = ________

Answers

Answer:

x = 3/8

Step-by-step explanation:

[tex]x + \dfrac{1}{4}=\dfrac{5}{8}\\\\\dfrac{4x + 1}{4}=\dfrac{5}{8}[/tex]

Cross multiply,

8*(4x +1) = 5*4

8*4x + 8*1 = 20

32x + 8 = 20

Subtract 8 from both sides

32x = 20 - 8

32x = 12

Divide both side by 32

x = 12/32

x = 3/8


I really need help again any boady that can help that would be awsome I just need to know. Which goes to which Thankyou for the help

Answers

Answer:

1.A

2.D

3.B

4.C

5.D

6.A

7.C

8.C

9.D

Step-by-step explanation:

A rectangle has an area of 24cm Function f gives the length of the rectangle, in centimeters when the width is w cm. Determine if each value,
in centimeters, is a possible input of the function

3 0.5 42 60

Answers

Answer:

Yes

Step-by-step explanation:

f = 24/w

Just plug in each one, would only be an error if denominator would = 0

what is the calculation for 70 increased by 9%

Answers

Answer: 6.3 Increase the number by 9% of its value.

helppp pls alg2
How do the graphs of transformations compare to
the graph of the parent function?

Answers

This function, assuming that the parent function is g(x)= x^2, is compressed, translated down 8 units and is reflected over the x axis
(I believe this is what being flipped upside down is called, but it’s been awhile)

i asked this already but please solve this NO LINKS

Answers

Answer:

-4x^3+12x^2-1

Step-by-step explanation:

We have (-4x^3+2x^2-9) + 2(5x^2+4)
= -4x^3 + 2x^2 - 9 + 10x^2 + 8
= -4x^3 + 12x^2 - 1

Ok done. Thank to me:>

Robert climbed 775 step in 12 1/2 minutes.
How many steps did he average per minute?​

Answers

It would be an average of 62 steps per minute.

775/12 1/2 = 775/12.5 = 62

you can use long division to solve this as well

Answer:

62

Step-by-step explanation:

775 steps divided by 12.5 minutes is 62 steps per minute.

help with these questions pls​

Answers

Answer:

1. 5 + r/14

2. 3x -4 = 23

Answer:

1. 5 + r/14

1. 3x - 4 = 23

Step-by-step explanation:

1. Remember, the quotient is obtained by dividing one quantity by another. In the sentence it is stated that "the quotient of r and 14" which means: r divided by 14.

The sentence models 5 + r/14

2. We are to subtract 4 from the product of 3 and x. So part of the equation looks like: "3x-4". Since it is stated that 23 is the total sum, then the answer is: 3x - 4 = 23

a series of 1125 consecutive integers has a sum which is a perfect cube find the smallest possible positive sum for this series?
please show your work :)

Answers

The smallest possible sum for the series is 91125

If zero is considered to be positive, the answer is zero (0).

otherwise

562 negative consecutive integers, then 0, then 562 positive consecutive integers has a sum of zero (0).

Moving the start, the smallest integer up 1 adds 1125 to the sum.

1125 = 9 * 125

1125 = 9 * 5³

= 9³ * 5³ is the smallest sum

= 45³

= 91125

Therefore the smallest  possible sum is 91125

for more questions like this see, https://brainly.com/question/19261165

convert

b) 25 m³ to ft³
c) 11 ft² to in²​

Answers

Answer:

conversions are below

Step-by-step explanation:

b) 25 m³ = 882.867 ft³

c) 11 ft² = 1584 in²

22.45=x+5y,
27.45=x+7y

Answers

Answer

7

Step-by-step explanation:

Use the diagram to complete the statement.
Given ΔJKL, cos(60°) equals sin(?)

Answers

Answer:

cos(60) = sin(30)

Step-by-step explanation:

cosine is adjacent over hypotenuse, or [tex]\frac{21}{42}[/tex] from ∠60°

sine is opposite over hypotenuse, or [tex]\frac{21}{42}[/tex] from ∠30°

Pleaseeee help please

Answers

Answer:

109 degrees

Step-by-step explanation:

Since AB is a straight line, we know the line is 180 degrees in total. So, with this information, subtract 180 with 29 and 42.

I think it might be 109°. AB is a straight line so it would have a degrees of 180, so I think all you have to do is add the two other degrees (42+29) which would give you 71, and then subtract 71 from 180.

Hopefully this answer is right but sorry if it isn't.

There are 75 new houses being built in a neighborhood. Last month, 2/5 of them were sold. This month,1/3 of the remaining houses were sold. How many houses are left to be sold? ​

Answers

You start with 75 houses

2/5 were sold, which mean 3/5 remain
3/5 of 75 is 45

Then, 1/3 of the REMAINING (45) houses were sold. Since 1/3 were sold, 2/3 remain of 45.
2/3 of 45 is 30

30 houses are left to be sold

Solve the quadratic equation shown below using the completing the square method. x2+6x=−17 Use the drop-down menus to choose the words or numbers to correctly complete each statement below. To solve the equation by completing the square, a first step is to add 17 to both sides of the equation. The resulting equation will be a perfect square trinomial on the left side, which can be factored into the quantity x + 3 squared, and the right side will have a value of . A next step is to take the square root of both sides to isolate the variable . will be a complex number since

Answers

Answer:

7

Step-by-step explanation:

because you just take the quadratic number and divide it by x2 and you get 7!!!

Answer:

x = - 3 ± 2i[tex]\sqrt{2}[/tex]

Step-by-step explanation:

x² + 6x = - 17

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(3)x + 9 = - 17 + 9

(x + 3)² = - 8 ( take square root of both sides )

x + 3 = ± [tex]\sqrt{-8}[/tex] = ± 2i[tex]\sqrt{2}[/tex] ( subtract 3 from both sides )

x = - 3 ± 2i[tex]\sqrt{2}[/tex]

BRAINLIEST
Can someone please explain how to answer these

Answers

Answer:

1) x = 13 (because other angle of the triangle is 45°.Then the foots faced to equal angles are equal)

Then we can calculate y by pythagoras law

[tex] {y}^{2} = {x}^{2} + {13}^{2} \\ {y}^{2} = {13}^{2} + {13}^{2} \\ y = \sqrt{2 \times 169} \\ y = 13 \sqrt{2} [/tex]

We can get answers for others by this way. If you want others answers text me in comment box

!!Help!!
solve for x​

Answers

WXY = XYW ( = 41 ) ⇒  XYW is a isosceles triangle

⇒ XW = YW

⇒ 54 = 6x + 6

⇒ 6( x + 1 ) = 54

⇒ x + 1 = 9

⇒ x = 8

ok done. Thank to me :>

7. A diver dove to a location 4
a
meters below sea
level. He then dove to a second location meters
below sea level. How many meters are there
between the two locations?

Plz help me quick

Answers

Answer 1 3/5 meter below sea level

In this case, a diver goes into two different location expressed with "meters below sea level" unit. To know the distance between the two location, then you need to subtract it.

Step-by-step explanation:

Distance = 2nd location - 1st location

Distance = 8 1/5 meter below sea level - 6 3/5 meter below sea level= 1 3/5 meter below sea level

Carlos took a total of 8 quizzes over the course of 4
weeks. After attending 7 weeks of school this
quarter, how many quizzes will Pancho have taken in
total?
Help,no links

Answers

Answer:

the answer is 14

Step-by-step

multiply 2x7

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