What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a?

x = the quantity of negative 5 plus or minus the square root of 3 all over 2
x = the quantity of 5 plus or minus the square root of 3 all over 2
x = the quantity of negative 5 plus or minus the square root of 53 all over 2
x = the quantity of 5 plus or minus the square root of 53 all over 2

Answers

Answer 1

Using The Almighty Formula (attached)

Note the symbol ^ is used to denote a raise to power

Where from the equation given x^2-5x-7

With a,b,c coefficients

a=1 b=-5 c=-7

From the Almighty Formula

√b^2-4ac=√(-5)^2-4(-7)=√53

Substituting in the Almighty Formula

-(-5) ±√53/2(1)= 5±√53/2

x=5+√53/2 and x=5-√53/2

What Are The Exact Solutions Of X2 5x 7 = 0, Where X Equals Negative B Plus Or Minus The Square Root
Answer 2

Answer:

x = the quantity of 5 plus or minus the square root of 53 all over 2

Step-by-step explanation:

took the quiz


Related Questions

Factor 64 – x15. (4 – x3)(16 + 4x3 + x3) (4 – x3)(16 + 4x3 + x6) (4 – x5)(16 + 4x5 + x5) (4 – x5)(16 + 4x5 + x10)

Answers

Answer:

D :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

192 € down by a quarter?​

Answers

Answer:

144 €

Step-by-step explanation:

If you begin with 192 € and these funds decline (go down) by a quarter, you'll end up with

(1.00 - 0.25)(192 €) = 144 €

Read the following paragraph. How does sentence 4 develop the main idea of the paragraph?

Gertrude Belle Elion was born on Jan. 23, 1918, in New York City.
She graduated from Hunter College in New York City with a degree in biochemistry in 1937.
Unable to obtain a graduate research position because she was a woman, she took a series of jobs, including lab assistant, chemistry and physics teacher in New York City high schools, and research chemist.
During this time she also took classes at New York University, where she earned a master's degree in 1941.
Because she could not devote herself to full-time studies, Elion never received a doctorate.
This sentence tells readers where she went to school for her doctorate degree.
This sentence shows Elion's determination and commitment to learn.
This sentence shows that Elion had to try many schools to get accepted into one.
This sentence proves the idea that Elion had to learn biochemistry in unusual ways.

Answers

Answer:

This sentence shows Elion's determination and commitment to learn.

Step-by-step explanation:

During this time she also took classes at New York University, where she earned a master's degree in 1941.

The way in which sentence 4 assists in developing the key idea of the paragraph would be:

B). This sentence shows Elion's determination and commitment to learn.

The key idea that the given paragraph aims to convey is a brief biography of Belle Elion to the readers, especially, her early life.Sentence 4 in the given paragraph aims to advance this idea by displaying the strength, dedication, and determination that she put towards learning.This helps the readers understand her character sketch more clearly and effectively.

Thus, option B is the correct answer.

Learn more about "Main Idea" here:

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Josh paid for four books with three $20 bills he received $12 in change each book was the same price how much did each book cost

Answers

Three $20 bills is a total of $60

$60 - $12 = $48

He spent a total of $48 on the books

Divide the total spent by the number of books:

48 / 3 = 16

Each book cost $16

Answer:$12 per book

Step-by-step explanation: $20 x 3= $60

If you have $12 change you minus that from the $60

Now that is $48 for 4 books.

To work out one book you do $48/4 which is $12 per book.

A rectangular painting canvas has the dimensions of 22 by 23 inches. Find the area, in square inches, of the painting. Use the formula, area = length * width

Answers

Answer:

506 square inches

Step-by-step explanation:

length=22 inches

breadth=23 inches

area=length *breadth

area=22*23=506 squareinches

Answer:

506 inches

Step-by-step explanation:

22 times 23 equals 506 inches.

What is the equation in slope-intercept form of a line passing through points (-1, 1) and (1, 5)

Answers

Answer:

y=2x+3

Step-by-step explanation:

Answer:

y=2x+3

Step-by-step explanation:

A rectangular prism has a length of 6 cm, a width of 3 cm, and a height of 412cm.

The prism is filled with cubes that have edge lengths of 12 cm.



How many cubes are needed to fill the rectangular prism?

Enter your answer in the box.

To fill the rectangular prism,
cubes are needed.

Answers

Answer: To fill the rectangular prism, 4 cubes are needed.

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of the prism and divide it by the volume of one cube:

Volume of a rectangular prism = Length x width x height

V P = 6x3x412 = 7,416 cm3

Volume of a cube = side length^3

VC = 12^3 = 1,728 cm3

Finally;

Volume of the prism / volume of one cube = 7,416 /1,728 = 4.29 = 4 cubes

Feel free to ask for more if needed or if you did not understand something.

Answer:

I'm pretty sure he is correct but I have not completed the test quite yet. Refer to him if you want.

Step-by-step explanation:

The town of Haverford just bought land to make a new park. The land is in the shape of a rectangle that is 2/3 of a mile wide and 3/4 of a mile long.

What is the area, in square miles, of the land the town of Haverford bought?

A 5/12

B 6/12

C 8/9

D 6

Answers

Answer:

B 6/12

Step-by-step explanation:

The first step is to set up your fraction like so:  [tex]\frac{2}{3} x \frac{3}{4}[/tex]

Next you will multiply across the top 2·3=6 (this will become your numerator)

Then you will multiply across the bottom 3·4=12(this will become your denominator)

if asked it can be simplified to 1/2 if not your final equation will look like:

[tex]\frac{2}{3} x \frac{3}{4} = \frac{6}{12}[/tex]

Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118. If a recent test-taker is selected at random, what is the probability the student scored 573 or greater on the exam?

Answers

Answer: the probability that the student scored 573 or greater on the exam is 0.31

Step-by-step explanation:

Let x be the random variable representing the math scores on the SAT exam. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 514

σ = 118

the probability that the student scored 573 or greater on the exam is expressed as

P(x > 573) = 1 - P(x ≤ 573

For x = 573,

z = (573 - 514)/118 = 0.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.69

P(x > 573) = 1 - 0.69 = 0.31

-3+m --------- = 10 9

Answers

Answer:

proper answer pls

Step-by-step explanation:

In the diagram below, DE is parallel to XY. What is the value of x?
.
X
105
A. 75
B. 125
C. 105
D. 95

Answers

Answer:

105 degrees

Step-by-step explanation:

Corresponding angles

Answer:

x = 105⁰( corresponding angles)

Isabel invested $200 in a fund for 6 years and was paid simple interest. The total interest that she received on the investment was $48. As a percentage, what was the annual interest rate of her investment.

Answers

You need to do cross multiplication

A cart rolls 2 m to the right then rolls back 1 m to the left.
What is the displacement of the cart from the initial to the final positions?

HELP PLEASE

Answers

Answer:

3 m is the displacement

Step-by-step explanation:

because the distance traveled is how much you really move necessarily is the distance from where you started to where you ended in a sraight line, not every single move you made, and the displacement is how much you moved altogether in any and every direction even if you went in circles. hope this helps!! love yawl, stay safe!! <3 <3 <3 <3 <3 <3 <3

The displacement of the cart will be "3 m".

Towards the right,

The distance covered by the cart is:

= 2 m

Towards the left,

The distance covered:

= 1 m

hence,

→ [tex]Total \ distance = Sum \ of \ the \ distances[/tex]

                           [tex]=2 +1[/tex]

                           [tex]=3 \ m[/tex]

So the above answer is correct.

Learn more about the displacement here:

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would you rather have a pool thats 40ft x 9ft x 4ft or a pool that 7yds x 4yds x 2yds \

explain please

Answers

Answer:

I would rather have the pool that is 40ft x 9ft x 4ft.

Step-by-step explanation:

I hope this helps!

HELP!!! 2(4x+3)=x+1 It's geometry!

Answers

Answer:

[tex]x=-\frac{5}{7}[/tex]

Step-by-step explanation:

[tex]2(4x+3)=x+1[/tex]

[tex]8x+6=x+1[/tex]

[tex]8x-x=1-6[/tex]

[tex]7x=-5[/tex]

[tex]x=\frac{-5}{7}[/tex]

Answer:

x = -5/7

Step-by-step explanation:

2(4x+3)=x+1

Distribute

8x +6 = x+1

Subtract x from each side

8x+6-x = x+1-x

7x+6 = 1

Subtract 6 from each side

7x+6-6 = 1-6

7x =-5

Divide each side by 7

7x/7 = -5/7

x = -5/7

Solve the system of equations.

x + 3y = −1
2x + 2y = 6


(−4, 1)

(2, −1)

(4, −1)

(5, −2)

Answers

Answer:

(5,-2)

Step-by-step explanation:

Multiplying the first equation by 2 we get

2x+6y=-2

Subtracting the second equation we get

4y=-8

y=-2

Plugging y as -2 into the equation we get x=5

Answer:

(5, -2)

Step-by-step explanation:

x + 3y = −1  

2x + 2y = 6 ⇒ x+y=3

Subtract second equation from the first one:

x+3y=-1x+y=33y-y= -1 -32y= -4y= -2x= 3+2= 5

Which relation is a function of x? {(1, 2), (7, 6), (3, 2), (1, 0), (5, 6)} A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 0, 0, 0. Column 2 is labeled y with entries 2, negative 6, 9, negative 7. x = 3 y squared minus 7 On a coordinate plane, a graph curves up, then curves down, and then curves up again.

Answers

Answer:The answer is D the last one.

Answer:

D on edu

Step-by-step explanation:

Please answer The attachment correctly below.

Answers

Answer:

$55

Step-by-step explanation:

do PEMDAS

do parenthesis first

then multiply

6.75 plus 4.25 is 11

multiply 11 by 5

please help with numbers 5 and 6

Answers

The answer of question no 5 is 46

The answer of question no 6 is 79

Look at the attached picture

Hope it will help you

Direct Variation: If y = 6, when x = -2, find y when x = 18.

Answers

Answer:

The answer is -54. Please mark as brainliest :)

Step-by-step explanation:

Y is directly proportional to x. So....

Finding the value of constant k.

y=kx

6=-2k

-3=k.

Finding y when x is 18

y=-3*18

y=-54.

The athlete drink 16 ounces of water every two hours starting at 7:30 AM and continuing for the next 14 hours. A) how many quarts did the athlete consume? B) how many pints of water did the athlete consume?

Answers

16x7 = 112 (16 ounces, 7 hours) 112 ounces to pints = 7 pints of water

When the athlete drink 16 ounces of water every two hours for the next 14 hours,

(A) The athlete consumes 3.5 quartz of water.

(B) The athlete consumes 7 pints of water.

Conversions(1) Ounce to Pints

16 ounces = 1 pint

(2) Quarts to Ounces

1 quart = 32 ounces.

(A) Calculation for the water consumed by athlete in quarts:

The total duration for which athlete consumes the water is 14 hours with a after every 2 hours.

The total number of times the water consumed by athlete is 14/2 = 7.

Covert the 16 ounces of water in quarts

= 16/ 32

=1/2

The total quantity of water consumed in quarts is

= 7×(1/2)

= 3.5 quarts

Thus, the amount of water consumed by athlete in entire 14 hours is 3.5 quarts.

(B) Calculation for the water consumed by athlete in pints:

The total duration for which athlete consumes the water is 14 hours with a after every 2 hours.

The total number of times the water consumed by athlete is 14/2 = 7.

Convert 16 ounce of water into pint

= 16/16

= 1

The total quantity of water consumed in pints is

= 7×1

= 7

Thus, the amount of water consumed by athlete in entire 14 hours is 7 pints.

To know more about volume and its standard unit, here

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100 points and brainliest A sports club has 84 members who learned baseball, and 42 of those members also learned basketball. There are 25 students who did not learn baseball but learned basketball, and 8 students did not learn either baseball or basketball. Which table best shows the conditional relative frequency of rows for the data? Learn baseball Do not learn baseball Total Learn basketball 0.36 0.21 1 Do not learn basketball 0.36 0.07 1 Total 0.72 0.28 1 Learn baseball Do not learn baseball Total Learn basketball 0.5 0.76 1 Do not learn basketball 0.5 0.24 1 Total 0.72 0.28 1 Learn baseball Do not learn baseball Total Learn basketball 0.63 0.37 1 Do not learn basketball 0.84 0.16 1 Total 0.72 0.28 1 Learn baseball Do not learn baseball Total Learn basketball 0.42 0.25 1 Do not learn basketball 0.42 0.80 1 Total 0.84 0.33 1

Answers

Answer: The answer is C. C in your given options.

                                   

Step-by-step explanation:

 Learn baseball    Do not learn baseball      Total

Learn basketball                    0.63                        0.37                             1

Do not learn basketball        0.84                         0.16                             1

Total                                       0.72                         0.28                             1

Answer:

C

Step-by-step explanation:

Learn baseball    Do not learn baseball      Total

Learn basketball                    0.63                        0.37                            

Do not learn basketball        0.84                         0.16                            

Total                                       0.72                         0.28                            

Hope this helps!

ANSWERR ASAPP
the directions on a lawn mower manual call for a mixture of oil and gasoline that is 60% oil. the tank holds 12 gallons. how many gallons will be oil?
A. 7.2 gallons
b. 5.8 gallons
c. 6.8 gallons
d. 5 gallons

Answers

The answer is 7.2, if you multiply 12 by .6 you get 7.2
Well I may not be the best at math but percentages aren’t too hard once brought down to a 0.01 scale. 60% of 12 is 7.2

Solve the equation using square roots.

[tex]3x^{2} -12=0[/tex]

Answers

Answer:

x = 2, x = - 2

Step-by-step explanation:

3x² - 12 = 0

3x² = 12

x²= 12/3

x²= 4

√x² = +/- √4

x = +/- 2

x = 2, x = -2

Which of the following rational functions is graphed below?

Answers

Answer:

option B

Step-by-step explanation:

We can see in the graph that the function has two values of x where the value of y goes to infinity: x = -6 and x = 6.

These points where the value of the function goes to infinity usually are roots of the polynomial in the denominator of a fraction (when the values of x tend to these values, the denominator of the fraction tends to 0, so we have a discontinuity in the function).

So the option that represents a function that have these points in x = -6 and x = 6 is the function in option B.

The other options show functions that have only one point that goes to infinity.

Answer:b

Step-by-step explanation:

abbi invested 1000 in a certificate of deposit with a simple interest rate of 3% . find the interest earned in 6 years then find the total of principal plus interest

Answers

Answer: interest = 180

Amount 1000 + 180 = 1180

Step-by-step explanation:

SI = prt / 100

(1000 x 3 x 6)/100

18000/100 = 180

Somebody help ASAP please please please. I basically forgot all the steps to do this.

Answers

Answer:

m=50

Step-by-step explanation:

m=4a+2c

m= 4(10)+2(5)

m= 40+10

m=50

100pts: What is the slope of the following curve at x = n, for an arbitrarily chosen integer n?:
y = 3x^2 - 37x + 6

Answers

Answer:

6n -37

Step-by-step explanation:

The slope would be the derivative of the function

dy/dx = 6x - 37  evaluated at the point n

dy/dx = 6n -37

Answer:

6n - 37

Step-by-step explanation:

The derivative of the function f(x) gives the gradient (slope) of the tangent to the graph of y = f(x) at the point (x, y).

Given:

[tex]y=3x^2-37x+6[/tex]

Therefore, the gradient (slope) of the given curve at x is:

[tex]\implies \dfrac{dy}{dx}=2 \cdot 3x^{2-1}-37x^{1-1}+0[/tex]

[tex]\implies \dfrac{dy}{dx}=6x-37[/tex]

To find the slope, simply substitute x for n:

[tex]\implies 6n-37[/tex]

Calculate the mean given the frequency table
Class
Frequency
0-9
24
10-19
20
20-29
32

Answers

Answer:

15.6

Step-by-step explanation:

First, multiply the midpoint of each class by its frequency, as follows:

            Class      midpoint   frequency   midpoint*frequency  

            0-9         4.5             24                4.5*24 = 108

            10-19      14.5            20                14.5*20 = 290

            20-29    24.5           32                24.5*32 = 784

Total                                      76               1182

The mean is computed as the division between the addition of the "midpoint*frequency" column by the addition of "frequency" column.

mean = 1182/76 ≈ 15.6

 

Express each of the following as a rational number and represent them on the same number line :1/4 0.75 and -3

Answers

Answer:

Step-by-step explanation:

1/4

0.75= 75/100=3/4

-3=-12/4

The following is a rational number and represents them on the same number line:1/4 0.75 and -3 is

1/4

0.75= 75/100=3/4

-3=-12/4

What is an example of a rational number?

A rational number is a number that is in the form of p/q, where p and q are integers, and q is not equal to 0. Some of the examples of rational numbers include 1/3, 2/4, 1/5, 9/3, and so on.

What is a rational number?

A rational number is any number that can be expressed as a fraction or ratio of two integers. For example, 3/4, 8.75, 2, and -6 are all considered rational numbers. Note that integers, or "whole numbers", are rational numbers. This is because they can be expressed as fractions.

Learn more about the rational numbers at

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