Jose and Gavin are reading the same book. At the beginning of the month, Jose was

on page 10 and Gavin was on page 37. Jose will read 17 pages per day and Gavin will

read 14 pages per day. Let J represent the page of the book that Jose is on at the end

oft days into the month, and let G represent the page of the book that Gavin is on at

the end oft days into the month. Write an equation for each situation, in terms of t,

and determine what page Jose and Gavin will be on on the day they are both on the

same page.

Answer:

112+24x

Step-by-step explanation:

2(16+(10*4)+(x*12))

solve the inner bracket

2(16+40+12x)

solve this bracket

2(56+12x)

solve this now

112+24x

Answer:

[tex]24x+112[/tex]

Step-by-step explanation:

First of all we will start with the brackets inside the equation,

1. [tex]2[16+40+12x][/tex]

Now we can multiply 2 by all the values inside the parentheses

2. [tex]32+80+24x[/tex]

I just wanted to confirm that the big X is a variable?

Fact: Did you know that there are about 4 types of parenthese: ( ) - round brackets, [ ] - square brackets, { } - curly brackets, and < > - angle bracket.

Answer:

63-|-6| = 57

Step-by-step explanation:

63-|-6|

63-6

57

Answer:

57

Step-by-step explanation:

Substitute -6 for variable h.

[tex]63-|(-6)|\\63-6\\57[/tex]

Answer:

y-3=6(x-8)

Step-by-step explanation:

given that the slope is 6 and the line passes through (8,3), we can use the formula y-y1=m(x-x1), where (x1, y1) is the ordered pair and m is the slope. we can plug the given values in from there. m=6, x1=8, and y1=3. hope this helps!

Answer:

-21

Step-by-step explanation:

2-8 × 2-7 = 2-(8×2)-7

= 2-16-7

=-14-7

=-21

Answer:

-6 is Y

Step-by-step explanation:

When ever the number is outside of the f(x) it is = y.

[tex](-4.89, 3)[/tex] and [tex](4.89, 3)[/tex] are the farthest from the origin and [tex](0, -1)[/tex] is the closest from the origin.

Let be a curve of the form [tex]x^{2}+3\cdot (y-2)^{2} = 27[/tex]. The distance with respect to origin is found by using the following Pythagorean identity:

[tex]r = x^{2}+y^{2}[/tex] (1)

Where [tex]r[/tex] is the square distance function.

We can modify (1) as following:

[tex]r = [27-3\cdot (y-2)^{2}]+y^{2}[/tex]

[tex]r = 27-3\cdot (y^{2}-4\cdot y +4)+y^{2}[/tex]

[tex]r = 27-3\cdot y^{2}+12\cdot y -12 + y^{2}[/tex]

[tex]r = -2\cdot y^{2}+12\cdot y+27[/tex] (1b)

Now we apply the First and second derivative tests to determine the minimum and maximum distances from the origin:

First derivative test

[tex]-4\cdot y +12 = 0[/tex]

[tex]y = 3[/tex]

Second derivative test

[tex]r'' = -4[/tex]

The y-component represents a maximum.

Now we graph the function with the ressource of a graphing tool, we find the following points:

Farthest points: [tex](-4.89, 3)[/tex], [tex](4.89, 3)[/tex].

Closest points: [tex](0, -1)[/tex].

[tex](-4.89, 3)[/tex] and [tex](4.89, 3)[/tex] are the farthest from the origin and [tex](0, -1)[/tex] is the closest from the origin.

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Answer:

I need only 5 brainlisted please give me

Step-by-step explanation:

please understand my situation

Answer:

≈ 0.9 cm²

Step-by-step explanation:

I don't know if there is any easier way to solve this, I use 8th grade slope and line method to solve. suppose A is on origin, then the coordinates of triangle ABC are (0,0) (1,3) (4,1) and polygon DEFGH intersect line BC at F and G.

F is the intersect of y=2 and line BC, while G is intersect of x=3 and line BC.

Line BC: pass (1,3) and slope (m) = (1-3)/(4-1) = - 2/3,    

F(x,2)

(2-3) / (x-1) = -2/3            

2x-2 = 3       x = 2.5          

*F (2.5 , 2)

G (3,y)

(y-3) / (3-1) = -2/3     y = 5/3      

*G (3 , 5/3)

*point I (3 , 2)

segment FI = 3-2.5 = 0.5 = 1/2

segment GI = 2 - 5/3 = 1/3

area ΔFIG = (1/2 * 1/3) / 2 = 1/12 = 0.083

area of polygon  DEFGH (region colored RED) = 1 - 0.083 = 0.917 ≈ 0.9 cm²

Answer:

4 Hours

Step-by-step explanation:

2 1/6 = 13/6

1 5/6 = 11/6

13/6+11/6= 24/6

Simplify 24/6 which will give you 4

Answer:

anything but 2

Step-by-step explanation:

f(-1/2)

If you plug in 2, you'd get -1. But if you plug in other values, it won't be equal to -1.

Answer:

47

Step-by-step explanation:

Each new term is the previous term +2.

1st term = 1

5th term = 9

10th term = 19

15th term = 29

20th term = 39

25th term = 49 - 2 = 47 = 24th term

Find minutes per mile by dividing time by distance:

45 minutes / 6 miles = 7.5 minutes per mile

Now multiply his speed by each distance:

7.5 x 9 = 67.5 minutes

7.5 x 15 = 112.5 minutes

Now subtract the two:

112.5 - 67.5 = 45 minutes more

It will take Jesper 45 more minutes to complete the 15-mile race than the 9-mile race at his current running speed.

Jesper's running speed is 6 miles in 45 minutes.

To find out how long it will take him to complete the races, you can use the formula:

Time = Distance / Speed

Let's calculate the times for both races:

For the 9-mile race:

Time = 9 miles / (6 miles/45 minutes)

= 9 × (45/6)

= 67.5 minutes

For the 15-mile race:

Time = 15 miles / (6 miles/45 minutes)

= 15 × (45/6)

= 112.5 minutes

The difference in time between the 15-mile race and the 9-mile race will be:

Difference = Time for 15-mile race - Time for 9-mile race

= 112.5 minutes - 67.5 minutes

= 45 minutes

So, it will take Jesper 45 more minutes to complete the 15-mile race than the 9-mile race at his current running speed.

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Step-by-step explanation:

[tex]x^2-81=x^2-9^2=(x-9)(x+9)\\\\\text{Used}\\\\a^2-b^2=(a-b)(a+b)[/tex]

Answer:

[tex]\displaystyle m = 3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points.

Point (8, 1)

Point (11, 10)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Answer:

m=3

Step-by-step explanation:

Answer:

Midpoint: (0, 5/2) or (0, 2.5)

Step-by-step explanation:

The diagonal BD is made of the points B(4,7) and D(-4,-2)

to find the midpoint of these points you add the two x coordinates and divide by two --> (4+-4)/2=0/2=0

Then you add the y coordinates and divide by 2 --> (7+-2)/2=5/2 or 2.5

Then you've got your midpoint.

hopefully I've understood the question correctly - hope this helps!

Answer:

I think it's B

Step-by-step explanation:

Answer:

3x 3-x and 3+x

You have to add.

Step-by-step explanation:

I'm trash at math.

Answer:

y= -x-6/2

Step-by-step explanation:

Given,

x+2y=-6

or,2y=-x-6 (cross multiplication)

or,y= -x-6/2

The value of x in the equation is 364/145

The equation is given as:

[tex]\frac 32x - 5= -\frac 47x + \frac 15[/tex]

Collect the like terms

[tex]\frac 32x + \frac 47x= 5 + \frac 15[/tex]

Take the LCM

[tex]\frac{21x + 8x}{14} = \frac{25 + 1}{5}[/tex]

Evaluate the sum

[tex]\frac{29x}{14} = \frac{26}{5}[/tex]

Cross multiply

[tex]145x = 364[/tex]

Divide both sides by 145

[tex]x = \frac{364}{145}[/tex]

Hence, the value of x in the equation is 364/145

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Answer:

A: False

B: True

C: False

D: False

Hope This Helps!!!

Answer:

x = 33

Step-by-step explanation:

(x-17)°+(5x-1)°=180°

6x-18 = 180

6x = 198

x = 33

Answer:

x = 32 words

Step-by-step explanation:

Okay...let's get solving! :D Firstly, we

let the word list be x and convert the long paragraph into an equation that we can use.

one-fourth = 1/4

Memroized = 8 words

[tex]x * \frac{1}{4} = 8[/tex]

Thus, we solve the equation.

x = 32 words

==========================================================

Explanation:

We plug t = 220 into the given function. The 220 is from 2020-1800 = 220, i.e. we have a span of 220 years from 1800 to 2020.

[tex]P(t) = \frac{19.71}{1+61.22e^{-0.03513t}}\\\\P(220) = \frac{19.71}{1+61.22e^{-0.03513*220}}\\\\P(220) = \frac{19.71}{1+61.22e^{-7.7286}}\\\\P(220) \approx \frac{19.71}{1+61.22*0.00044005976972}\\\\P(220) \approx \frac{19.71}{1+0.02694045910226}\\\\P(220) \approx \frac{19.71}{1.02694045910226}\\\\P(220) \approx 19.192933558417\\\\P(220) \approx \boldsymbol{19.193}[/tex]

This indicates that the population of New York state in 2020 is roughly 19.193 million.

This converts to 19,193,000 which is 19 million, 193 thousand.

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

Extra info:

According to census data (census.gov), the more accurate population figure appears to be 20,201,249 which is a bit over 20.2 million. The given population function isn't too far off.

Answer:

think answer is 0.5 each

Average power output, in watts = 0.8103 watts

The average power represents the constant energy that has been used throughout the time of the journey at a constant rate.

It can be expressed by the following relation:

P=E/T

Given,

Energy consumed per mile = 93 calories

Time taken to cover 1 mile = 8 minutes

Energy consumed per minute = 93/8 calories

Average power = 93/8 = 11.625 calorie per minute

1 calorie per minute = 0.0697 watt

Average power output in watts = 11.625 × 0.0697

                                                    = 0.8103 watt

Hence, 0.8103 watt is the average power output in watt.

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