Michael chose some positive number, multiplied it by itself, added 1, multiplied the result by 10, added 3, and multiplied the result by 4. His final answer was 2012. What number did Michael choose?

Answers

Answer 1

Answer: 7

Step-by-step explanation:

Let the number chosen by Michael be x.

We are told that he multiplied it by itself, added 1. This would be:

= = ( x × x) + 1 = x² + 1

We are further told that he multiplied the result by 10, and added 3. This would be:

= = [(x² + 1) × 10] + 3

= 10x² + 10 + 3

= 10x² + 13

Lastly, he multiplied the result by 4 and his final answer was 2012. This would be:

(10x² + 13) × 4 = 2012

40x² + 52 = 2012

40x² = 2012 - 52

40x² = 1960

x² = 1960/40

x² = 49

x = ✓49

x = 7

The number is 7

can be expressed as:

= ( x × x) + 1 = x² + 1


Related Questions

the relationship between time and distance remaining on a 3 mile walk for someone walking at steady rate of 2 miles per hour​

Answers

Let d be the remaining distance.
Let t be the remaining time.

The standard distance equation is:
d = rt

We are given the rate as 2, so:
d = 2t

At the start of the walk, the remaining distance is 3 miles.
The remaining time is 1.5 hours.

At the end of the walk, the remaining distance is 0 miles.
The remaining time is 0 hours.

A graph of the distance and time would be a continuous, solid line. That's because the walker will be at every distance between 3 and 0 and every time between 1.5 and 0.

Answer:
The graph of this would be a solid line

A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?

pls help I'm being timed​

Answers

Answer:

It would cost $ 408.04 to travel 2727 miles

Divide total miles by miles per gallon:

2,727 / 27 = 101 gallons.

Multiply total gallons by price per gallon:

101 x 4.04 = $408.04  Round as needed.

A teachers monthly gross pay is $5,321. The federal government withholds 15% of the teachers monthly gross pay from income taxes. How much does the teacher pay in income tax every month??

Answers

Answer:

$798.15

Step-by-step explanation:

Given

Monthly gross pay is $5,321Income tax = 15%

Amount of tax paid every month:

$5321*0.15 = $798.15

15 POINTS FOR THE BRIANLEIST! PLEASE SOLVE!!

Answers

Answer:

my question is also this thanks

Answer:

y = -y

Step-by-step explanation

So since we know that the answer of this question turns out to be a positive, and 5 is a negative number, that means y is negative. Heres my reason why:

( write this down on your essay)

Since a negative number and another negative number added becomes a positive, y would be a negative number.

Therefore, It is true that y is a negative number

Write the equation in standard form.
y - 2 = -(x +4)

Answers

Answer:

x + y = - 2

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y - 2 = - (x + 4) ← distribute by - 1

y - 2 = - x - 4 ( add x to both sides )

x + y - 2 = - 4 ( add 2 to both sides )

x + y = - 2 ← in standard form

What is the solution to his system of linear equations? Y-x=6. Y+x=-10

Answers

Answer:

Hi

Step-by-step explanation:

Which statement describes the solutions of this equation?
I + 2
. 2 + = 1
OA.
The equation has two valid solutions and no extraneous solutions,
OB.
The equation has no valid solutions and two extraneous solutions.
O C.
The equation has one valid solution and no extraneous solutions.
OD.
The equation has one valid solution and one extraneous solution.

Answers

Step-by-step explanation:

x/(x + 2) + 1/x = 1

x² + (x + 2) = x(x + 2)

x² + x + 2 = x² + 2x

x = 2.

Since x = 2 neither makes (x + 2) or x become 0, there are no extraneous solutions.

The answer is "The equation has 1 valid solution and no extraneous solutions." (C)

The true statement is (c) the equation has one valid solution and no extraneous solutions

The equation is given as:

[tex]\frac{x}{x + 2} + \frac 1x = 1[/tex]

Take LCM

[tex]\frac{x^2 + x + 2}{x(x + 2)} = 1[/tex]

Expand the numerator

[tex]\frac{x^2 + x + 2}{x^2 + 2x} = 1[/tex]

Cross multiply

[tex]x^2 + x + 2 = x^2 + 2x[/tex]

Subtract x^2 from both sides

[tex]x + 2 = 2x[/tex]

Collect like terms

[tex]2x -x = 2[/tex]

[tex]x = 2[/tex]

Hence, the equation has one valid solution and no extraneous solutions

Read more about solutions of equations at:

https://brainly.com/question/1397278

What is the exponential function
that best models the number of
gnats the scientists have gathered
after the number of hours listed?

a)use demos to determine the exponential equation that best fits the data in the table. What is the equation?

b)
How many hours will it take
for 200 gnats to gather?

Hours~ 0,1,2,3,4

Number of gnats~ 12,20,35,60,80

Answers

Answer:

Number Sense 3. ... Activity #2 - Solving Exponential Equations (self-checking) 5. ... #2: Used four of the star station C's problems in the Exponential Math Workshop. ... Please feel free to email me with any questions or join our office hour ... There are a variety of activities, most of which allow you to check your answers. 3.

Step-by-step explanation:

Plis help me thank you first one to reply gets brainless

Answers

1: 0.46

2:0.4

3: -0.6

4: -0.85

5: 3.34

6: -1.77

7: 34/99

8: 3.16

9: -9/10

10: -17/20

11: -19/5

12: 2.3

13: 4/13

14: 8 7/11

help me with my math for brainiest:)

Answers

Answer:
13. A=13.
Step by step:
A-6=13
A=13+6
A=19

16. X=-18
Step by step:
X+4=-14
X=-14-4
X=-18

19. W=15.4
Step by step:
-10.1=w+5.3
-w-10.1=5.3
-w=5.3+10.1
-w=15.4
W=-15.4

22. D=-5.9
Step by step:
-9.3=d-3.4
-d-9.3=-3.4
-d=-3.4+9.3
-d=5.9
D=-5.9

25.q=5/18
Step by step:
q+5/9=5/6
q=5/6-5/9
q=5/18


1.a-6=13

a-6+6=13+6

a=19

2. x+4=-14

x+4-4=-14-4

x= –18

3.-10.1=w+5.3

-10.1-5.3=w+5.5-5.3

w= -15.4

4.-9.3=d- 3.4

-9.3+3.4=d -3.4 +3.4

d=-9.3+3.4

d= -5.9

5.q+5/9=5/6

q+5/9-5/9=5/6-5/9

q=5/18

please help, i will mark you brainliest :))

Answers

It would be 0.2
Because
1 divided by 5 = 0.2
To check
0.2*5=1

Hope this helps

Have a great day/night

Answer:

0.2

Step-by-step explanation:


A cube has sides of length 5 cm.
Find the total surface area of the cube.
Please explain as well, as I struggle with surface area.

Answers

5 x 5 = 25
25 x 6 = 150

150cm^2

Answer:

150 cm^2

Step-by-step explanation:

Keep in mind that the dimensions of the cube are identical in 6 directions.  This means that the surface area of the bottom is 5 cm by 5 cm, yielding the area 25 cm^2.  The top has the same area, so considering top and bottom we get a total surface area of 50 cm^2.

Likewise, the total surface area of the sides together is 50 cm^2.  The total surface area of the front and back together is 50 cm^2.

Thus, the total surface area of the entirre cube is 3(50 cm^2), or 150 cm^2

Answer the following problem and simplify the answet
33/10 x 4/11=

Answers

Answer:

33/10 × 4/11=6/5

3.3 ×0.3636363636=1.2

Answer:

Answer is 1.2

Step-by-step explanation:

33/10 x 4/11=  6/5

6/5 simplified is 1.2

given STU and DEF , what is m < U ?

can i get help i posted this twice now.​

Answers

Answer:

u=47

Step-by-step explanation:

...................

The measure of angle U is 74 degrees.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

to determine the measure of angle U:

From the question, we have the following parameters that can be used in our computation:

△PQR ≅ △STU

If m ∠P = 62 degrees and m ∠Q = 45 degrees

The above parameters mean that

P  = S Q = T and R = U

So, we have

U = R = 180 - P - Q -- by the angles in a triangle theorem

So, we have

U = 180 - 61 - 45

   = 74

Evaluate

U = 74

Hence, the value of m ∠U is 74 degrees

Read more about angles at

brainly.com/question/7620723

#SPJ5

2. Tablespoons and liters are some units used to measure volume. What are some
other units used to measure volume?

Answers

gallons, teaspoon, quart, etc!

Answer:

gallons, teaspoon, quart, etc!

Step-by-step explanation:

Can some one explain what an arithmetic sequence is...?

Answers

Answer:

An arithmetic sequence is an infinately long set of numbers that increase by a certain amount(this amount is called the common difference) every number. for example, 1,2,3,4,5... is an arithmetic sequence with a common difference of one.

| n-3 |=2 solve and show work please

Answers

Answer:

n = 5 ; n = -1

Step-by-step explanation:

n - 3 = 2

When you transfer (-3) to the other side of the equation, it turns into (+3).

n = 2 + 3

Evaluate.

n = 5

n + 3 = 2

When you transfer (+3) to the other side of the equation, it turns into (-3).

n = 2 - 3

Evaluate.

n = -1

Answer:

x=5

x=1

Step-by-step explanation:

|x-3|=2

x-3=2

x-3=-2

x=5

x=1

Find x and y. Please help!!

Answers

Step-by-step explanation:

3y+48=90

3y=90-48

3y=42

y=14 degree

12+2x+3x+90=180

5x+102=180

5x=180-102

5x=78

x=15.6 degree

y=-6x+2
How many solutions does this linear system have?
O one solution: (0, 0)
Oone solution: (1, 4)
O no solution
Oinfinite number of Solutions
-12x– 2y =4

Answers

Answer:

The system has of the equation has no solution

Thus,

NO SOLUTION!

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}y=-6x+2\\ -12x-2y=4\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}y+6x=2\\ -2y-12x=4\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}y+6x=2\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:2y+12x=4[/tex]

so

[tex]\begin{bmatrix}2y+12x=4\\ -2y-12x=4\end{bmatrix}[/tex]

adding both equations

[tex]-2y-12x=4[/tex]

[tex]+[/tex]

[tex]\underline{2y+12x=4}[/tex]

[tex]0=8[/tex]

so

[tex]\begin{bmatrix}2y+12x=4\\ 0=8\end{bmatrix}[/tex]

0 = 8 is false, therefore the system has of the equation has no solution

Thus,

NO SOLUTION!

Please also check the attached figure.

HELP PLEASEEE ASAP WILL GIVE. BRAINLIST ​

Answers

Answer:

width = 2x + 1

Step-by-step explanation:

A = lw

A = 10x² + 5x = 5x(2x + 1) = lw ⇒ w = 2x + 1

15 I’m pretty sure sorry if I’m wrong I’m not very smart

How to use graph of equation

Answers

Answer:

Locate the y-intercept on the graph and plot the point.

From this point, use the slope to find a second point and plot it.

Draw the line that connects the two points.

Step-by-step explanation:

Find the y intercept on the graph

Then from the points where the y intercept passes find the second point and graph it

Then draw the line where they connect

[tex]f(x) = \frac{x}{7} f(7) =[/tex]

Answers

Step-by-step explanation:

f(x) = x/7

When x = 7, f(7) = 7/7 = 1.

Answer:

f(7) = 1

Step-by-step explanation:

We are given:

[tex]f(x)=\frac{x}{7}[/tex]

and we need to find f(7)

For finding f(7) we will put x = 7 in the given term [tex]f(x)=\frac{x}{7}[/tex]

Putting x = 7

[tex]f(x)=\frac{x}{7}\\Put\:x=7\\f(7)=\frac{7}{7}\\f(7)=1[/tex]

So, f(7) = 1

Are these correct????

Answers

Answer:yes it is right

Step-by-step explanation that’s right

Answer: pretty sure

Step-by-step explanation:

Please give me a brainliest even if im wrong im strugling please

What is the value of x in the equation -6 + x = -1? (5 points)
1) -5
2) -7
3) 7
4) 5

Answers

Answer:

x = 5

Step-by-step explanation:

This is a simple algebra equation, you can rewrite this equation to look like this x - 6 = -1.  Add 6 on both sides to get your x-value which is 5.

Answer:

answer 4 is right, x = 5

Step-by-step explanation:

-6 + x = -1

i) move constants to the right-hand side and change its sign

x = -1 + 6

ii) calculate the sum

x = 5

-3/7+5/2 whats the answer
??

Answers

Answer:

29/14

Step-by-step explanation:

The ratio of an object's weight on Earth to its weight on Venus is 8:7. How much would a 160 pound man on Earth weigh on Venus?

Answers

Answer:

Weight On Venus: 144.67 lbs

Step-by-step explanation:

Weight on Venus= (Weight on Earth/9.81m/s2) * 8.87m/s2

Try finding how many meters they travel in ONE second) Mai and Priya were on scooters. Mai traveled 15 meters in 6 seconds. Priya travels 22 meters in 10 seconds.

Answers

Answer:

Mai travels 2.5 meters in 1 second

Priya travels 2.2 meters in 1 second

Step-by-step explanation:

Try finding how many meters they travel in ONE second) Mai and Priya were on scooters.

For Mai

Mai traveled 15 meters in 6 seconds.

Hence,

6 seconds = 15 meters

1 second = x meters

Cross Multiply

6x = 15 meters

x = 15/6

x = 2.5 meters

Hence, Mai travels 2.5 meters in 1 second

For Priya

Priya travels 22 meters in 10 seconds.

Hence,

10 seconds = 22 meters

1 second = x meters

Cross Multiply

10x = 22 meters

x = 22/10

x = 2.2 meters

Hence, Priya travels 2.2 meters in 1 second

What is the y-intercept of y = 1/7x - 10?

Answers

Answer:

-10

Step-by-step explanation:

the equation is in y=mx + b form so the b is the y-intercept so therefore it is -10

Solve the system of equations: y = 2x - 5, y=x^2- 5
A. (0, -5) and (2, - 1)
B. (0,5) and (2, 2)
C. (-1,-4) and (3, 4)
D. (-1.-7) and (4,3​

Answers

Answer:

A

Step-by-step explanation:

both equation is y so

2x - 5 = x² - 5

2x = x²

0 = x² - 2x

0 = x(x-2)

x = 0

x = 2

for x = 0

y = 2x - 5

y = 0 - 5

y = -5

(0,-5)

for x = 2

y = 2x - 5

y = 2(2) - 5

y = -1

(2,-1)

If the population changes by 2.5% per year, what percentage does it change in 5 years

Answers

Answer:

12.5%

Step-by-step explanation:

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