How many solutions does this nonlinear system of equaTions have?

Answer:

Total number of coins Nancy and bill have = 6x - 5

Step-by-step explanation:

Nancy and bill collect coins. Nancy has x coins. Bill has 5 coins fewer than five times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and bill have . Simplify your answer .

Let

Number of Nancy's coins = x

Number of Bill's coins = 5x - 5

Total number of coins Nancy and bill have = Number of Nancy's coins + Number of Bill's coins

= x + (5x - 5)

= x + 5x - 5

= 6x - 5

Total number of coins Nancy and bill have = 6x - 5

Answer:

A.)

Step-by-step explanation:

literally guessed but was right lol

Option first is correct.

A rectangular equation, or an equation in rectangular form is an equation composed of variables like x and y which can be graphed on regular cartesian plane.

According to the given question

We have

x = 2sec(t) + 1 and y = 6tan(t)

Now the above expressions can be written as :

x -1 = 2sec(t)

⇒  [tex]sec(t)\frac{x-1}{2}[/tex]

similarly,

[tex]\frac{y}{6} = tan(t)[/tex]

From trigonometric identities we know that

[tex]1 + tan^{2} \ t = sec^{2} \ t[/tex]

Substitute the value of tant and sect in the above identity

[tex]1 + (\frac{y}{6} )^{2} =(\frac{x-1}{2}) ^{2}[/tex]

⇒[tex]\frac{(x-1)^{2} }{4} -\frac{y^{2} }{36} =1[/tex], this is the required rectangular equation.

Hence, option first is correct.

Learn more about rectangular equation here:

https://brainly.com/question/12718642

#SPJ2

Answer:

6x-17y

Step-by-step explanation:

2x+4x-17y

6x-17y

Answer:

7pages

Step-by-step explanation:

42÷6= 7

You are dividing how many postcards you have with how many you can fit on one page. If you divide them, you will get your answer.

Randall needs 7 pages to fit 42 postcards.

Answer:

7:47

Step-by-step explanation:

Here are two ways of solving this:

The video will be half the time of 15:34, so you need to divide the time 15:34 by 2.

Method 1)

Use the tip. The video is 15 minutes and 34 seconds long.

Convert minutes to seconds: 15 * 60 = 900

Add 34 seconds to the 15 minutes: 900 seconds + 34 seconds = 934 seconds

The video is 934 seconds long.

Divide the total seconds by 2: 934/2 = 467

467 seconds = 420 seconds + 47 seconds = 7 minutes and 47 seconds

Answer: 7:47

Method 2)

Divide the minutes by 2 and divide the seconds by 2.

15 minutes and 34 seconds.

Divide minutes by 2: 15/2 = 7.5

Divide seconds by 2: 34/2 = 17

Now we need to add 7.5 minutes and 34 seconds.

0.5 minutes is half a minute, so it's 30 seconds.

7.5 minutes + 17 seconds =

= 7 minutes + 0.5 minute + 17 seconds

= 7 minutes + 30 seconds + 17 seconds

= 7 minutes + 47 seconds

= 7:47

Answer: 7:47

Answer:

h = - 105

Step-by-step explanation:

Given

[tex]\frac{h}{14}[/tex] = - 7.5 ( multiply both sides by 14 to clear the fraction )

h = - 105

Answer:1.86

Step-by-step explanation:

Answer:

68.75%

Step-by-step explanation:

First you do 54 - 32 to get 22.

Then you divide 22 by 32 to get the decimal 0.6875

Finally, you multiply 0.6875 by 100 to get 68.75% :D

Answer:

68.73% more cars were sold

Step-by-step explanation:

from 32 cars that represented 100% went to 54 so is a diference of 54-32=22

Now what percentage  of 32 is 22?

32 is 100%

22 is x%

x=(22*100)/32=2200/32=68.73%

Answer:

0.5

Step-by-step explanation:

Co-ordinate of the mid point of the segment whose co-ordinates are -6 & 7 is =

[tex] \frac{7 + ( - 6)}{2} = \frac{1}{2} = 0.5[/tex]

Answer:

$70

Step-by-step explanation:

Answer:

The answer is $70

Step-by-step explanation:

Answer:

North Route is 20 miles, and South Route is 25 miles.

Step-by-step explanation:

Let the length of the North route be represented by x and that of the South route be represented by y.

On Monday,

8x + 10y = 410

On Tuesday,

15x + 11y = 575

So that,

8x + 10y = 410 .............. 1

15x + 11y = 575 ......... 2

Using substitution method, from equation 1;

x = [tex]\frac{410 - 10y}{8}[/tex] ................. 3

Substitute the expression for x into equation 2,

15([tex]\frac{410 - 10y}{8}[/tex]) + 11y = 575

multiply through by 8,

6150 - 150y + 88y = 4600

6150 - 62y = 4600

6150 - 4600 = 62y

1550 = 62y

divide through by 62 to have,

y = 25

Substitute the value of y in equation 3

x = [tex]\frac{410 - 10y}{8}[/tex]

  = [tex]\frac{410 - 10(25)}{8}[/tex]

  = 20

x = 20

Thus, North Route is 20 miles, and South Route is 25 miles.

Answer:

The answer is D I'm not sure

Answer:

127 degrees

Step-by-step explanation:

When you add up all three angles of a triangle, the sum will always be 180 degrees. Just add up the two known angles and that will equal Angle ABC because a straight line also equals 180 degrees

Answer:

1.869 more miles

Step-by-step explanation:

the formula is

[tex]distance\:of\:jake-distance\:of\:tom\\\\=4.89-3.021\\\\=1.869miles[/tex]

Answer:

1. 869 miles farther

Step-by-step explanation:

4.89-3.021= 1.869miles

Therefore, Jake went 1.869 miles farther than Tom did.

Answer:

45

Step-by-step explanation:

Calculation to Find the size of each exterior angle

First step is to calculate the sum of interior angles of a polygon using this formula

Sum of interior angles of a polygon =S=(n-2)*180

Let plug in the formula

Sum of interior angles of a polygon=1080=(n-2)*180

Cross multiply

1080/180=n-2

6=n-2

Add 2 to both sides

6+2=n-2+2

n=8

Now let Find the size of each exterior angle using this formula

Size of each exterior angle=360/n

Where,

n represent numbers of sides of the polygon

Let plug in the formula

Size of each exterior angle=360/8

Size of each exterior angle=45

Therefore the size of each exterior angle will be 45

Answer:

45

Step-by-step explanation:

Answer:

What is the constant variation of Y =- 2 3x?

The constant of variation, k , is 23 .

What is the constant variation of Y 1 2x?

The constant of variation, k , is 12 .

Step-by-step explanation:

yeet yeet yeet

Answer:

The y-intercept represents the number of mammals when they were originally counted.

The y-intercept.is 75.

The asymptote indicates that the number of mammals counted when the study began was 120.

The asymptote indicates that as years pass, the number of mammals will approach 0.

Step-by-step explanation:

im a lil late but here ya go and for anyone further who needs these answers.. Its kind of obvious thugh just by looking at the graph what the answers are.

Answer:

dude your math period is way too long

Answer:

dude your math period is way too long

Given:

[tex]f(1)=3,f(n)=2\times f(n-1)[/tex]         ...(i)

For [tex]n\geq 2[/tex].

To find:

The nth term for the given recursive formula.

Solution:

The given recursive formula is of the form of

[tex]f(n)=r\times f(n-1)[/tex]            ...(ii)

It is the recursive formula of a GP, where r is common ratio.

On comparing (i) and (ii), we get

[tex]r=2[/tex]

Now,

First term: [tex]a=f(1)=3[/tex]

Common difference: [tex]r=2[/tex]

nth term of a GP is

[tex]f(n)=ar^{n-1}[/tex]

Putting a=3 and r=2, we get

[tex]f(n)=3(2)^{n-1}[/tex]

Therefore, the equation for the nth term is [tex]f(n)=3(2)^{n-1}[/tex].

Answer:

which one, i just took a test, and im from texas

Step-by-step explanation:

Answer:84

Step-by-step explanation:

Answer: orchard B

Step-by-step explanation: (orchard A) if you were to only bring the 12 students, the cost would be $108. But since it requires 3 chaperones you’d add 3 to the already 12 students making the full cost $135.

(Orchard B) if you were take only the 12 kids to the orchard it would cost you $120 but because it requires ONLY 1 chaperone, the final cost would be $130. allowing it to be $5 dollars less than what Orchard A would cost.

Answer:

x=45

Step-by-step explanation:

I can give you two solutions

First solution:

In [tex]\triangle FBA[/tex] we know that

[tex]\angle BFA + \angle FAB + \angle ABF=180\\\\90+x+\angle ABF =180\\\\\angle ABF =90-x[/tex]

same case for [tex]\angle EBC[/tex] in [tex]\triangle ECB[/tex]

so we have that

[tex]\angle ABC = \angle ABF + \angle FBE +\angle EBC\\\\\angle ABC = 90-x+45+90-x\\\\\angle ABC = 180+45-2x[/tex]

we leave it like that because it's convenient

Now by properties of parallelograms we know that opposite sides add up to 180

[tex]\angle FAB + \angle ABC = 180\\\\x+180+45-2x=180\\\\x+45-2x=0\\\\45-x=0\\\\x=45[/tex]

so one angle is 45  and the other one is 135

Solution 2

if we look at DEBF we can say that it's a cyclic quadrilateral

because opposite sides add up to 180

in our case

[tex]\angle DFB = 180 -\angle BFA = 180-90 = 90\\\\\angle DEB = 90\\\\\Rightarrow \angle DFB + \angle DEB = 180\\\\[/tex]

so for the other to angles is also true

[tex]\angle FDE + \angle EBF = 180\\\\\angle FDE +45 = 180\\\\\angle FDE = 135[/tex]

so that's the measure of one angle of the parallelogram

the other angle x is

[tex]\angle EDF + \angle FAB = 180\\\\135+x=180\\\\x=45[/tex]

There you go choose yourself

Answer: x=15

Step-by-step explanation: it’s all in the picture hope this helps!

Answer: x= 15

Step-by-step explanation:-109+9x=86-4x

⇒13x-195=0

⇒13x=195

⇒x=

195

13

⇒x=15

Answer:

4.2

Step-by-step explanation:

Ok the points are (-1, 2) and (1, -2)

Put it in the formula

d = [tex]\sqrt{(1 - -1)^2 + (-2 - 2)^2} \\\sqrt{(2)^2 + (-4)^2} \\\sqrt{2 + 16} \\\sqrt{18} \\[/tex]

√18 = 4.2426 ≈ 4.2

Hope this helps ya!!

Answer:

Expression 1= 5

Expression 2 = 1 - 16

Step-by-step explanation:

Answer:

just do that quik mafs

Step-by-step explanation:

Answer:

it the third one

Answer:

(c-5)(3+4c)

Step-by-step explanation:

3c-15+4c^2-20c

4c^2-17c-15

Berry Method

4*(-15)=-60

What two numbers multiply by each other to get -60 but add up to -17

-20 and 3

[tex]\frac{(4c+3)(4c-20)}{4}[/tex]

(4c+3)(c-5)

Answer:

n<=7 (less than or equal to)

Step-by-step explanation:

42/6=7, so 7 is the max number of laps he will run.