When 8 is subtracted from the square of a number, the result is 7times the number. Find the positive solution

Answers

Answer 1

Answer:

x=8 , x=-1

Step-by-step explanation:

let the number is x

According to the condition

[tex] {x}^{2} - 8 = 7x \\ {x}^{2} - 7x - 8 = 0 \\ {x}^{2} - 8x + x - 8 = 0 \\ x(x - 8) + 1(x - 8) = 0 \\ (x - 8)(x + 1) = 0 \\ x - 8 = 0 \: or \: x + 1 = 0 \\ x = 8 \: or x = - 1[/tex]


Related Questions

What is the absolute value of 6.4?

Answers

Answer:  = 6.46.4 is the answer because when asking the absolute value of a positive number it always stays the same.

Absolute value of 6.4 is 6.4 itself.

What is the number line?

A horizontal line with evenly spaced numerical increments is called a number line. How the number on the line can be answered depends on the numbers present. The use of the number is determined by the question that if corresponds to, such as when graphing a point.

Since, Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.

Thus, the absolute value of a positive number is always positive

Therefore, the Absolute value of 6.4 is 6.4.

Learn more about number line here:

https://brainly.com/question/28625166

#SPJ1

Jorge Is there a 15% tip for the waitress. The cost, C, of his dinner is $45.50. Use the equation below to determine the total,t, of Jorge’s dinner plus the tip.


A. $728

B. $113.75

C. $52.33

D. $6.83

Answers

Answer:

Below

Step-by-step explanation:

To find the total cost of Jorge's dinner, all you need to do is multiply the cost of his dinner by 1.15 (the tip amount)

     $45.50 x 1.15 = 52.325

                            = $52.33

Hope this helps!

HELP PLEASE
here’s the picture

Answers

Answer:

I Believe this is it :DD

Step-by-step explanation:

Answer: yes that you the right A

Step-by-step explanation:

You have 24 quarts of brown stock you need .75 cups to make one serving of braised short ribs. How many can you make?

Answers

Answer:128

Step-by-step explanation:

1 quart= 4 cups

You have 24 quarts

24x4=96

96/0.75=128

2.
It takes Troy 3 hours to mow his family's large lawn. With his little brother's help, he can
finish the job in only 2 hours. How long would it take the little brother to mow the entire
lawn alone ?
(A) 4 hr
(B) 5 hr
(C) 5.5 hr
(D) 6 hr
(E) 6.75 hr

Answers

Answer:

It takes four hours because the little bro is alone and only one lawn mower is used

The equation 6x + 5 = 5x + 11 +x-6 is true for all real numbers. Substitute a few real numbers for x to see that this is so and then try solving the equation. Describe
what happens.

Answers

Answer:

It will ALWAYS be true!

Step-by-step explanation:

Inputting any real or imaginary numbers such as i or e, (which are also known as complex numbers), and when put in the place of x will ALWAYS equal one another. You could put 1, 2, 3, etc. all the way up to infinity and still get the two equations equal to each other.

Hope this helped!

HELPPPPPPPPPPPPPPPPPPPPPPP

Answers

false? i think? i’m so sorry if this is late or wrong

What is an equation of the line that passes through the points (-5, -8)(−5,−8) and (-4, -6)(−4,−6)?

Answers

Answer:

Step-by-step explanation:

General equation of a line is y= mx+b,

where m is the slope and b is the y- intercept

For points (-5, -8) and (-4, -6) the slope is

m= difference in y / difference in x

m = [-6 - (-8)] / [-4 - (- 5)] = (-6+8)/(-4+5) = 2/1 =2

Now we know that y= 2x+b , to find b substitute the coordinate (x, y) with coordinate (-4, -6) -you could pick the other point if you want will work because both points are on the line.

-6 = 2(-4) +b , multiply

-6 = -8 + b, add 8 to both sides

-6+8 =b , add

2 =b

The equation of the line that passes through the points (-5, -8) and (-4, -6) is

y= 2x+2

First of all, you will find the gradient. The formula for finding the gradient is y2-y1 /x2-x1. - 6--8/-4--5.If two negatives meet they change to positive. - 6+8/-4+5=2/1,therefore the gradient is 2,after that then you will find the equation of the line. The formula for finding the equation of the line is y-y1=m(x-x1). y-(-8)=m(x--5),y+8=2(x+5),y+8=2x+10,y=2x+2.

1. Dorothy was able to answer yes to 16/25 of the survey questions. What is 16/25
written as a decimal?

Answers

Answer:

16/25 as a decimal is 0.64

Step-by-step explanation:

A town planner lays out the design for a park on a coordinate grid. The point (1, 1) represents a point 1 foot north and 1 foot east of the center of the park at (0, 0). On the design, a triangular path within the park has vertices at (-350, 200), (300, -400), and (160, 500). What is the length of the triangular path, rounded to the nearest tenth of a foot?

Answers

9514 1404 393

Answer:

  2387.1 ft

Step-by-step explanation:

I find a spreadsheet to be a convenient tool for repeated calculations using the same formula. Here, the distance between two points is given by ...

  d = √((x2 -x1)² +(y2 -y1)²)

For example, the distance between the first two points is ...

  d = √((300 -(-350))² +(-400 -200)²) = √(422500 +360000) ≈ 884.59

Other distances are calculated the same way. The results are shown in the attached spreadsheet, which also adds them up.

The path length is 2387.1 feet.

SOMEONE HELPPPPP 4a-18=6a

Answers

Answer:

a = -9

Step-by-step explanation:

Solving for a in steps:

4a - 18 = 6a6a - 4a = -182a = -18a = -18/2a = -9

5. Find the solutions of x^2 – X-30 = 0.

please show work on how to do it

Answers

Answer:

x=6, x= -5

Step-by-step explanation:

Factor the equation

x^2 - x - 30 = 0 ----> (x-6)(x+5)=0

Next find the solution by setting those in the paranthesis equal to zero.

x-6=0 ----> x= 6

x+5=0 ----> x= -5

Step-by-step explanation:

[tex] {x}^{2} - x - 30 = 0[/tex]

➡️ [tex] {x}^{2} + 5x - 6x - 30 = 0[/tex]

➡️ [tex]x \times (x + 5) - 6(x + 5) = 0[/tex]

➡️ [tex](x + 5) \times (x - 6) = 0[/tex]

➡️ [tex]x + 5 = 0[/tex]

➡️ [tex]x - 6 = 0[/tex]

➡️ [tex]x = - 5[/tex]

➡️ [tex]x = 6[/tex]

➡️ [tex] x_{1} = - 5. \: x_{2} = 6[/tex]

I will give brainliest !!

Answers

Answer:

a

Step-by-step explanation:

456.483 in expanded form

Answers

(456.400)+(456.080)+(456.003)= 456.483

One airline carried 3,720 people on 31 flights between Portland and Los Angeles. If there were the same number on each flight, how many people were on each flight?
Please help ASAP!

Answers

Divide total people by total flights:

3720/31 = 120

There was 120 people on each flight

Will give brainliest answer

Answers

9514 1404 393

Answer:

  (C)  g = f(-x)

Step-by-step explanation:

g is a reflection of f over the y-axis. Such a reflection replaces x with -x.

  g(x) = f(-x) . . . . . matches choice C

_____

Additional comment

(A) leaves the function unchanged.

(B) is a reflection over the x-axis

(C) is a reflection over the y-axis (applicable here)

(D) is a reflection over the origin (both x- and y-axes)

A table is on sale for $179.20, which is 72% less than the regular price. What is the regular price?​

Answers

Answer:

640

Step-by-step explanation:

price ÷ 1 - percent (as decimal)

179.20÷(1-0.72) = 640

Answer: Regular price = $640

Step-by-step explanation:

Given information

New price = $179.20

Rate of discount in price = 72%

Given expression

Original Price = New Price / (1 - Rate of discount)

Substitute values into the expression

Original Price = 179.20 / (1 - 72%)

Simplify values in parentheses

Original Price = 179.20 / 0.28

Original Price = $640

Hope this helps!! :)

Please let me know if you have any questions

What is the area of a circle with a diameter of 8 meters? Use 3.14 for pi, nothing else. Express in pi term and number term.

Answers

The two answers you are looking for are 16π m² and 50.24 m².

Solution:

Finding the area of the circle,

First, knowing what the area of a circle formula is:

A=πr²

Since knowing that the radius is half the length of the diameter,

If the diameter is 8, then the radius must be 4.

A=π(4)²

A=16π m²

Now, you have the first answer. If you want to express it differently,

Using 3.14 as pi,

So, therefore,

A=16(3.14)

A=50.24 m²

So, now, we can conclude that the two answers you are looking for for the area of this circle are 16π m² and/or 50.24 m².

Answer:

16pi and 50.24 m squared

Step-by-step explanation:

Find the length of the segment indicated.
.
9.6
10.2
<

Answers

Answer:

i think d or c.....i think it's correct because know just small...

Me ayudarias a resolver los problemas :c

Answers

::)wthdudhdheheebdndjdjdjdjdn

For three collinear points. A between T and Q.
a. Draw a sketch.
b. Write the Segment Addition Postulate.
c. If AT = 10 in and AQ = 5 in, what is TQ?

Answers

Answer:

Write the segment addition postulate

The sets J and L are given below.
J={-1, 1, 3, 5, 7, 8)
L={-1, 2, 3, 5, 8)
Find the union of J and L.
Find the intersection of J and L. Write your answer using set notation ( in roster form)

Answers

Union = -1,1,2,35,7
Intersection= -1 , 3, 5,8

Answer:

(J ∪ L) = { -1, 1 , 2, 3, 5, 7, 8}

(J ∩ L) = { -1 , 3, 5, 8}

help me plz now plz help me asap​

Answers

[tex]\\ \sf\longmapsto 0.49=\dfrac{49}{100}[/tex]

[tex]\\ \sf\longmapsto 0.093=\dfrac{93}{1000}[/tex]

[tex]\\ \sf\longmapsto 0.021=\dfrac{21}{1000}[/tex]

[tex]\\ \sf\longmapsto 0.103=\dfrac{103}{1000}[/tex]

BIG IDEAS MATH #18 Find the distance between the points J( – 8,0) and K(1,4). The exact distance between the two points is​

Answers

Answer:

√97

Step-by-step explanation:

d = √(x2 − x1)^2 + (y2 − y1)^2

d = √(1 - -8)^2 + (4 - 0)^2

d = √9^2 + 4^2

√81 + 16

√97

4 and 1 over 4 divided by 1 and 7 over 8

Answers

Answer:

3 and 23 Over 32

Step-by-step explanation:

Done

.

.

.

.

.

.

3c = 2(c - 1)
How to write that as a verbal sentence

Answers

Answer:

3 times a value is equal to twice as much as it's predecessor.


Three angles of a triangle are the 4x or (4x-2) and (3x+6). Find x

Answers

Answer: x = 16

Step-by-step explanation:

4x + 4x-2 + 3x + 6 = 180 (being sum of triangle)

or, 11x + 4= 180

or, 11x = 176

so, x = 176/11

so, x = 16  

I need help with this problem please

Answers

the perimeter is 38 units

Answer:

38

Step-by-step explanation:

10 + 4 + 2 + 9 = 25

That's the stuff we're given.

Now the other sides.

10 - 2 = 8,

9 - 4 = 5,

25 + 8 + 5 = 38

Choose all that give a level of accuracy appropriate for situation.

The distance for a flight from Georgia to Texas to the nearest mile.

Measuring how long the large mouth bass you caught while fishing to the nearest foot.

The number of party favors needed for a birthday party by the whole number.

The volume of water in a water bottle to the nearest fluid Ounce.

The cost of new laptop plus tax calculated to the nearest tenth.

Answers

Using unit measurement concepts, it is found that the correct options are:

The distance for a flight from Georgia to Texas to the nearest mile.Measuring how long the large mouth bass you caught while fishing to the nearest foot.  The number of party favors needed for a birthday party by the whole number.The cost of new laptop plus tax calculated to the nearest tenth.  

----------------------------------

When measurements are made, the unit used is a big consideration, to give accuracy to the measurement. For example, measuring a person's height is kilometres would not give an accurate representation.

----------------------------------

In the first option, for distance between cities or states, miles is the most widely used metric, so this option is correct.In the second option, heights of mouth bass are usually measured in inches, which is easily converted to feet(dividing by 12), and thus, this option is correct.In the third option, for each person, there is usually a favor, thus, whole number is an accurate metric, and this option is correct.In the fourth option, volume of water is usually measured in liters, and fluid ounces are way smaller than liters, thus not giving an accurate representation.In the fifth option, costs of products, especially expensive products such as laptops, are rounded to the nearest tenth, and thus, this option is correct.

A similar problem is given at https://brainly.com/question/16563559

Miguel Sebring took out a loan for $5,000 at 9.5% exact interest for 90 days. How much interest will Miguel pay?

Answers

Answer: Miguel will pay Rs 11,875.

Step-by-step explanation:

P = 5,000

R = 9.5%

T = 90 days

now changing time into years

360 days = 1 year

90 days = 1/360 * 90 = 1/4 years = 0.25 years

now

I = PTR/100

= (5,000*9.5*0.25)/100

 = 11,875

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