Find three consecutive even integers such that the product of the first and the second is 8
greater than - 10 times the third integer.

Answers

Answer 1

Answer:

-4, -2, 0  or -8, -6, -4

Step-by-step explanation:

#1 =x

#2 = x+2

#3 =  x+4

x(x+2) = -10(x+4) + 8

x^2 + 2x = -10x - 40 + 8

x^2 + 12x + 32 = 0

(x+8)(x+4) = 0

x = -8 or x = -4 so:

#1 = -8 or -4

#2 = -6 or -2

#3 = -4 or 0


Related Questions

Find the measure and solve for x

Answers

Answer:

14

Step-by-step explanation:

Number of sides (n) = 10

Sum of all angles of polygon = (n - 2 )* 180

                                                = 8 * 180 = 1440

As this is a regular polygon,

measurement of each angle = 1440/10 = 144

10x + 4 = 144

       10x = 144- 4

       10x = 140

           x = 140/10

           x = 14

Problem:

Ford cut a whole pizza into 8 equal parts. He gave 2 slices to each
brothers and ate the rest. What part did each one get?

Question:

1.)To whom did Ford give the 2 slices of pizza?

2.)How did he divide the pizza?

3.) What do you call a part of it?









plzzz....
i follow you​

Answers

Answers:

1. his brothers :)

2. Into 8 equal parts

3. a fraction of the pizza, a slice

Answer:

1. his brothers

2. in 8 equal pieces

3. a slice

Step-by-step explanation:

The figure shows the dimensions of a backyard
Find the area
8 yd
eccles
30 yd
15 yd
30 yd
The area of the backyard is
square yards.

Answers

answer:

570yd^2

step by step:

Split the backyard into 2 different rectangles and add the areas together. I did 8x30 and 15x22.
Answer: 570yd^2


Explaining: The area can be found by using the base and the height. Fist I will split the figure into two piece to make it easier to find. The first piece is solved by 30•15=450. The second figure can be solved by 8•15=120. Now add the total numbers together and you get 570yd^2

Your next-door neighbor, Bob, decides to find out how the community feels about the cleanliness of the community pool in your housing tract. The survey has two choices: good (clean) or bad (dirty). He places one in every mailbox on the street where he lives. About a quarter of the neighbors return the survey, and 60% of those say that the pool is bad. There may be many types of problems here, but which problem probably causes the most damage

Answers

Answer:

the survey population is very isolated

Step-by-step explanation:

There is not much information to go on but from the information provided we can say that the biggest problem is that the survey population is very isolated. Bob gave the survey to every single individual in his block, this does not represent the entire population of the people that use the community pool. Therefore, the data would not represent the entire population. Instead, Bob should have randomly chosen mailboxes from the entire community to give them the survey.


The difference of two numbers is 5. The sum is 19. What are the two numbers?
(Let x = bigger number and y = smaller number)

Answers

Answer:

12 and 7

Step-by-step explanation:

x+y=19

x-y=5

2x=24

so x=12

x+y=19

or 12+y=19

so y =5

How many deciliters are equivalent to 9 cups? Use the conversion table to find the answer.

Answers

Answer:

9 cups = 21.2929 deciliters

Step-by-step explanation:

Hope this helps!

Place the following expressions in order from the lowest value to the highest value.

Answers

Answer:

-4^0, 2^-3, (-3)^0, 5^1

Step-by-step explanation:

2^-3= 1/8 (the same as 0.125)

(-3)^0= 1

-4^0= -1

5^1 = 5

these numbers from lowest to largest would be -1, 0.125 (1/8), 1 and finally 5

making the answer -4^0, 2^-3, (-3)^0, 5^1

PLEASE HELP ME ASAP!

Answers

Answer:

D. local maximum at the point (4, 18)

Step-by-step explanation:

Check the critical points and end points to test for any absolute extrema over the given interval.

3 pizzas are shared equally between 10 people. What fraction of a pizza does each person receive?

Answers

Answer:

7

Step-by-step explanation:

and beetween 10-3 7 pizza

help i will give brainliest

Answers

Answer:

the first one

Step-by-step explanation:

help me on my geometry homework? :/

Answers

Answer:

You could use a graphing calculator I just used Desmos. Origin is (0, 0). Rotate 90 degrees about the origin.

I used triangles

The rotated point would be at (1, 2)

ANSWER: the question mark = 1

what is the slope of the line passing through points (x,y) and (p,q)​

Answers

Step-by-step explanation:

Let (x1,y1) = ( x, y)

(x2 , y2) = (p, q)

Then

Slope (m)

= (y2 - y1) / (x2 - x1)

= ( q - y) / ( p - x)

Hope it will help :)

In mathematics, the radical sign, radical symbol, root symbol, radix, or surd is a symbol for the square root or higher-order root of a number. The square root of a number x is written as {\displaystyle {\sqrt {x}}, } while the nth root of x is written as {\displaystyle {\sqrt[{n}]{x}}.} Wi

Answers

Answer:

Step-by-step explanation:

Answer:

What are you asking?

(Click at the picture)

Answers

Answer:

A = 0.6, B = 1.3 c =  2.6 D = 4.5

Step-by-step explanation:

i can not see the last one

How to figure out diameter

Answers

Answer:

If you are given the area of a circle, the diameter is equal to the square root of four times the area divided by pi (diameter = √ (4 x area) / pi).

Answer:

A diameter of a circle is twice its radius!

Hope that helps!

Step-by-step explanation:

Yajaira is making cookies with her mom. The recipe calls for 7 eggs but they are making 2 batches. How many eggs should they use?

Answers

you will need 14 eggs all together fir the 2 batches

Answer:

14 eggs

Step-by-step explanation:

7 eggs for ine batch so if you are making 2 you would do 7 times 2 and get 14. 14 eeg is your answer

Which phrase best describes the scatter plot below

Answers

Answer:

strong negative correlation

Step-by-step explanation:

1/4 of 24 is 6, so 3/4 or 24 =

Answers

Answer:8

Step-by-step explanation:

18

can i have Brainliest?

3x-2y=10. 4x-y=6. solve each of the pair of simultaneous linear equation by substitution method ​

Answers

Answer:

x = 2/5, y= -22/5

Step-by-step explanation:

4x−y=6;3x−2y=10

Step: Solve4x−y=6for y:

4x−y+−4x=6+−4x(Add -4x to both sides)

−y=−4x+6

-y/-1 = -4x +6 over -1 (Divide both sides by -1)

y=4x−6

Step: Substitute4x−6for y in 3x−2y=10:

3x−2y=10

3x−2(4x−6)=10

−5x+12=10(Simplify both sides of the equation)

−5x+12+−12=10+−12(Add -12 to both sides)

−5x=−2

-5x/-5 = -2/5 (Divide both sides by -5)

x=  2 /5

Step: Substitute  2/ 5  for x in y=4x−6:

y=4x−6

y=4 ( 2/ 5 ) −6

y=  −22 /5

(Simplify both sides of the equation)

x = 2/5, y= -22/5

Find the value of x.

Answers

Answer:

D

Step-by-step explanation:

So first you know that the angles are across for each other meaning that they are equal.

Therefore the equation would be 7x-13 = 48

Simply do order of operations meaning you subtract 13 from 48 giving you 35.

Then do 35 divided by 7 which means X equals 5 which makes it D.  

Answer:

Umm I am pretty sure this answer is 3

Step-by-step explanation:

Por su asistencia y puntualidad, dos empleadas
de una fábrica textil recibieron como estímulo
vales de despensa y dinero en efectivo. A Sandra le dieron 8 vales y $60.00 en efectivo; a
Bertha le entregaron seis vales más $160.00. Si
los vales son de la misma denominación y ambas
reciben la misma cantidad de dinero, ¿qué valor
tiene cada vale?
A) 100 pesos
B) 75 pesos
C) 50 pesos
D) 25 pesos​

Answers

Anwser

El valor de cada vale 50 por eso es que sandra y Bertha recibieron cada una $460

Step-by-step explanation:

x son lo que cuestan los vales

Sandra 8 × +$60

Bertha 6x+$120

Each voucher has a value of 50 pesos.

Option C is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's represent the value of each voucher with the variable "v".

Then we can set up two equations based on the given information:

8v + 60 = 6v + 160 (both employees receive the same amount of money)

8v - 6v = 160 - 60

2v = 100

v = 50

Therefore,

Each voucher has a value of 50 pesos.

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The complete question:

For their attendance and punctuality, two employees

from a textile factory received as encouragement

grocery vouchers and cash. Sandra was given 8 vouchers and $60.00 in cash; to

Bertha was given six vouchers plus $160.00. Yeah

the vouchers are of the same denomination and both

receive the same amount of money, what is the value

does each voucher have?

A) 100 pesos

B) 75 pesos

C) 50 pesos

D) 25 pesos

Which statement is based on the information in the graph.

Answers

i think c. if i’m wrong i apologize

In which quadrant is the point (-2, -9)?​

Answers

Answer:

3rd quadrant

Step-by-step explanation:

Given:

Point (-2, -9)

Computation:

In 1st quadrant (+ , +)

In 2nd quadrant (- , +)

In 3rd quadrant (- , -)

In 4th quadrant (+ , -)

So given point (-2, -9) is in 3rd quadrant.

find the center and radius of this circle (x+13)^2+(y+2)^2=81

Answers

Answer:

center (-13,2)   radius=9

Step-by-step explanation:

(x+13)^2+(y+2)^2=81

x=-13

y=-2

r=sq rt of 81

The center and radius of this circle [tex](x+13)^{2} +(y+2)^{2} = 81[/tex] is (h, k) = (-13, -2) and r = 9.

What is a circle and equation of the circle?

A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.

The equation of a circle in standard form,

[tex](x-h)^{2} +(y-k)^{2} = r^{2}[/tex]

Given equation of circle

[tex](x+13)^{2} +(y+2)^{2} = 81[/tex]..................(1)

By comparing the standard form of circle with equation 1, we get

(h, k) = (-13, -2) and

[tex]r^{2} = 81[/tex]

⇒ [tex]r = \sqrt{81}[/tex]

⇒ r = 9

Hence, the center and radius of this circle [tex](x+13)^{2} +(y+2)^{2} = 81[/tex] is (h, k) = (-13, -2) and r = 9.

Find out more information about standard equation of circle here

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if George put $6,000 into a savings account that pays 3.5 percent in compound how many years would it take for him to have 18,000 dollars if no money is added or withdrawn during this time?(Round to the nearest tenth)

Answers

Answer:

57.1 years

Step-by-step explanation:

multiply the money put into savings by the interest rate 6000×.035=210

divide the total earned by the annual interest earned

12000÷210=57.1428571428

rounded to the nearest tenth is 57.1

True or false: Removing the parenthesis from will change the result.

Answers

Answer:

true

Step-by-step explanation:

the steps won't be the same

Answer:

True

Step-by-step explanation:

In a equation with parenthesis it is VERY important to never take them out of the equation. The only reason for that is that the parentthesis are signaling you to solve what is in the parentthesis first. And if you where to move the parenthesis out your answer would be totally different. Hope this helped. (Brainliest?)

A car depreciates at a rate of 15% of its value annually. Carl purchased a new car for $25,000 and wants to know how many years it
will take until the car is worth a specific amount.
a) Formulate a logarithmic function that would find the number of years t it will take for the car to be worth x dollars.
Then
b) How many years will Carl have until he new car is worth about $5000?

Answers

Answer:

(a) (log X - log 25000)/log 0.85 = t

(b) about 9.9 years

Step-by-step explanation:

(a)   Let X = value and t = elapsed years since purchase; X in dollars

X = 25000 x 0.85 x 0.85 x 0.85 ... with a factor of 0.85 for every year

(If you lose 15% of value, you have 85% left, right?)

So if you do it for t years, you have t as the exponent on the 0.85 factor.

[tex]X = 25000(0.85)^t[/tex]  is a good equation, but not logarithmic like they ask.

[tex]log X = log 25000 + log [(0.85)^t][/tex]    because the log of a product is the sum of the logs of the factors

log X = log 25000 + t*log 0.85  because the log of a power is power times log

log X - log 25000 = t* log 0.85    just algebra, subtracting from both sides

(log X - log 25000)/log 0.85 = t   just algebra, dividing both sides

(b)  If we let X = $5000

t = (log 5000 - log 25000)/log 0.85

 = (3.69897 - 4.39794)/-0.07058

 =  9.90

So t = 9.9 years is a good estimate

Carl will have approximately 5.06 years until his new car is worth about $5000.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let V(t) be the value of the car t years after it was purchased.

We know that the car depreciates at a rate of 15% annually, so the value of the car after t years can be expressed as:

[tex]V(t) = 25000 \times (1 - 0.15)^t[/tex]

Simplifying this equation, we get:

[tex]V(t) = 25000 \times 0.85^t[/tex]

Now suppose Carl wants to know how many years it will take for the car to be worth x dollars.

We can set V(t) equal to x and solve for t:

[tex]25000 \times 0.85^t = x[/tex]

log0.85(25000) +[tex]log0.85(0.85^t)[/tex] = log0.85(x)

Since log0.85(25000) is a constant, we can subtract it from both sides of the equation:

[tex]log0.85(0.85^t)[/tex]= log0.85(x) - log0.85(25000)

Divide both sides of the equation by log0.85(0.85) = 1:

t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)

Therefore, the logarithmic function that would find the number of years t it will take for the car to be worth x dollars is:

t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)

b) We want to find the number of years it will take for the car to be worth $5000.

Substituting x = 5000 into the formula derived in part (a), we get:

t = [log0.85(5000) - log0.85(25000)] / log0.85(0.85)

t = 5.06

Therefore, Carl will have approximately 5.06 years until his new car is worth about $5000.

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Assume you are buying a $15,000 car, with a 12 month loan at 5% interest, a net down payment of $2,500, and
a $40 (non-taxable) fee with 6% in sales tax.
What will be your monthly payment?
A. Between $1000 and $1049
B. Between $1050 and $1099
C. Between $1100 and $1149
D. Between $1150 and $1200

Answers

The answer would be C

On Sunday 440 people visited a museum that charges $9 for each child and $12.50 for each adult. If the museum earned $5,220 on that day, how many adults visited the museum on Sunday? o A. 360 Exhibits O B. 20 w o C. 80 D. 420​

Answers

Answer:

A) 360 adults

Step-by-step explanation:

c=quantity of child

a=quantity of adult

9c+12.5a=5220

a+c=440    then c=440-a

substitute for c

9(440-a)+12.5a=5220

3960-9a+12.5a=5220

reduce

3.5a=1260

a=360

What is the area of one trapezoidal face of the figure

Answers

there is no area jdhdiebs
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