The traffic lights at three different road crossings change after every 48 seconds 72 seconds and 108 seconds respectivily.If they changed simultaneously at 7:00 am.,at what time will they change simultaneously again

Answer:

[tex]g(x)=f(2)[/tex]  for x = 4

Step-by-step explanation:

If [tex]f(x)=3x-1[/tex]

and   [tex]g(x)= 2x-3[/tex]

Then for which value of "x" does [tex]g(x)=f(2)[/tex] ?

So start by evaluating what [tex]f(2)[/tex]  is:

[tex]f(x)=3x-1\,\,\,\,therefore\,\,\,\, f92)=3\,(2)-1=6-1=5[/tex]

Then,we have to find for which value of x [tex]g(x)=5[/tex]

so we write g(x) explicitly:

[tex]2x-3=5\\2x=5+3\\2 x = 8\\x = 8/2\\x=4[/tex]

Answer:

No solutions

Step-by-step explanation:

Step 1: Write out equation

10 + 5c = 5c

Step 2: Subtract 5c on both sides

10 + 5c - 5c = 5c - 5c

10 ≠ 0

Since 10 doesn't equal 0, we do not have a solution for this equation.

Answer:

no solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

10+5c=5c

Step 1: Simplify both sides of the equation.

5c+10=5c

Step 2: Subtract 5c from both sides.

5c+10−5c=5c−5c

10=0

Step 3: Subtract 10 from both sides.

10−10=0−10

0=−10

Answer:

There are no solutions.

HOPE THIS HELPS!!!!!! :)

<3333333333

Answer:

23.8

Step-by-step explanation:

To find the value of QR, look over the information given. R is a point between the points Q and S. Since the value of SR is 44.6, and the value of SQ is 68.4, subtract 44.6 from 68.4 to get 23.8, which will be the answer.

Answer:

A is the true proportion

Step-by-step explanation:

3/4 = 9/12 = 36 = 36

Answer:

a^2 - 6a + 6

Step-by-step explanation:

6−a(4−a)−2a =

6+a2+−4a+−2a

6+a2+−4a+−2a

(a^2)+(−4a+−2a)+(6)

a2+−6a+6

=a^2−6a+6

Answer:

-19-3x= -1(x+4).

-19-3x= -5(x+4).

-19-3x= -5x-1.

-19+1= -5x+3x.

-18= -2x.

x=9.

Answer:

I guess that you want to find the profit:

We have two equations:

the cost equation:

C(x) = -0.1*x^2 + 100.

And the selling equation, that is a vertical stretch of the cost equation by a factor of 1.4:

S(x) = 1.4*C(x) = 1.4*( -0.1*x^2 + 100.) = -0.14*x^2 + 140

Now, whit those two equations we can find the profit equation, that is defined as the difference between the selling price, and the cost:

P(x) = S(x) - C(x) = 1.4*C(x) - C(x) = (1.4 - 1)*C(x) = 0.4*C(x).

Then the profit is 0.4 times the initial cost.

P(x) = 0.4*( -0.1*x^2 + 100.) = -0.04*x^2 + 40

Answer:

D. S(C(x))= –0.14x^2+140; $108.50

Step-by-step explanation:

Cause the others are wrong

Answer:

Step-by-step explanation:

4x² - 2y

when

x = - 2 and y = - 1

Substitute the values of x and y into the expression and simplify

That's

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

We have the final answer as

Hope this helps you

Answer:The answer will be -18 because you are subtracting 2 two times!!

Step-by-step explanation:Simply step by step by step answer Hope this helps!️.

Answer: (8.5, 8)

Step-by-step explanation:

Answer:

15a

Step-by-step explanation:3times3times3times3times3

Step-by-step explanation:

[tex]\blue\star[/tex]sn = 549

[tex]\blue\star[/tex] d = 3

[tex]\blue\star[/tex]56th term of Ap

[tex]\blue\star[/tex]the sum of 32 tem

Correct question is;

Ms. Ironperson lives due east from the shawarma mediterran grill and Mr. Thoro lives due south. Both leaves at the same time, ms.Iron person traveling at 50 mph and mr. Thoro at 60 mph. Calculate when they would be 400 miles apart and how long would it take to happen

Answer:

They will be 400 miles apart when Ms. Ironperson has covered 256 miles and Mr. Thoro has covered 307 miles after 5.12 hours

Step-by-step explanation:

Since Ms. Ironperson lives due east from the shawarma mediterran grill and Mr. Thoro lives due south,then the distance between them will be the hypotenuse of a right angle triangle.

Now, we are told that Ms. Ironperson is traveling at 50 mph and that Mr. Thoro is traveling at 60 mph.

Thus, if we want to find when they would be at 400 miles apart, it means we have to find the distance Ms. Ironperson and Mr. Thoro would have covered after a time "t".

Thus,

Ms. Ironperson covered 50t miles

Mr. Thoro covered 60t miles

Therefore, since their location forms a right angled triangle, then we can use pythagoras theorem and we have;

(50t)² + (60t)² = 400²

This gives;

2500t² + 3600t² = 160000

6100t² = 160000

t² = 160000/6100

t = √(160000/6100)

t ≈ 5.12 hours

Thus, for Iron person, distance covered is: 50 × 5.12 = 256 miles

For Mr. Thoro, distance covered is: 60 × 5.12 ≈ 307 miles.

They will be 400 miles apart when Ms. Ironperson has covered 256 miles and Mr. Thoro has covered 307 miles after 5.12 hours

Mean: 52.2 because its the average of all the numbers

Range: 2   because (60-58)

Median: 53 because its in the middle of all the numbers

Mode : None

Answer:

47

Step-by-step explanation:

Ok first lets do this with small numbers like 10 and 5. How many integers are between 10 and 5? which does not include 10 or 5. You do 10 minus 5 which is 5, but if you count how many integers are between them with your fingers you get 4.

so now you know to get the integers between 2 large numbers you subtract like normal then you mines a 1.

so 63 - 15 - 1 = 47

There are 47 integers between 15 and 63

Hope this helps :)

There have been 47 integer arithmetic in the range of 15 to 63.

Number of integer between two number = Highest number - Lowest number - 1

So,

Number of integer between 15 and 63

63 - 15 - 1

63 - 16= 47

So,

Number of integer between 15 and 63  = 47

Learn more:

https://brainly.com/question/13212492?referrer=searchResults

Answer:

2⋅(x  3  −5)

________

      5

​  

Step-by-step explanation: I hope this really help!

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x3"   was replaced by   "x^3".  

STEP

1

:

           x3

Simplify   ——

           5  

Equation at the end of step

1

:

      x3      

 (2 • ——) -  2

      5      

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

        2     2 • 5

   2 =  —  =  —————

        1       5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2x3 - (2 • 5)     2x3 - 10

—————————————  =  ————————

      5              5    

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  2x3 - 10  =   2 • (x3 - 5)  

Trying to factor as a Difference of Cubes:

3.2      Factoring:  x3 - 5  

Theory : A difference of two perfect cubes,  a3 - b3 can be factored into

             (a-b) • (a2 +ab +b2)

Proof :  (a-b)•(a2+ab+b2) =

           a3+a2b+ab2-ba2-b2a-b3 =

           a3+(a2b-ba2)+(ab2-b2a)-b3 =

           a3+0+0+b3 =

           a3+b3

Check :  5  is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cubes

Polynomial Roots Calculator :

3.3    Find roots (zeroes) of :       F(x) = x3 - 5

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -5.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,5

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -6.00      

     -5       1        -5.00        -130.00      

     1       1        1.00        -4.00      

     5       1        5.00        120.00      

Polynomial Roots Calculator found no rational roots

Final result :

 2 • (x3 - 5)

 ————————————

      5      

Answer:

2⋅(x  3  −5)

________

     5

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

Filp the sign

The reflection of the line x = 4 will be x = -4.

Reflection is basically a mirror image of the shape, in which the image of a given figure changes accordingly to a given line or axis.

The given equation of line,

x = 4.

The reflection of the line x = 4 will be x = -4.

The reflected graph is shown below.

To learn more about Reflection on:

https://brainly.com/question/15487308

#SPJ2

Answer:

4(1/2x+6)=48

Step-by-step explanation:

half a number= 1/2x

is= equal

Answer:it’s ask me in Jakes class we’re numbered in Order from 1 to 24 jake was asked to choose classmates numbered with 5 to be in his group witch numbered could be the number of classmates in his group

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Hello, we can use the Remainder Theorem, so the remainder is P(-1)

[tex]P(-1)=3+2+2-1=6[/tex]

Thanks

Answer:

x=49

Step-by-step explanation:

Let's solve your equation step-by-step.

1

8

x−

49

8

=0

Answer:

x=49

Answer:

Step-by-step explanation:

1. Given that the total number of points is  50

2. Each question is worth 5 points

We can now calculate the number of questions by dividing the total points by the worth of each question

the number of question is  = 50/5= 10

hence there are 10 questions available

if he misses 2  questions, which will amount to 10 points his score will be

50-10 = 40 points

Hence if he got x questions wrong his score will be

50-x points

Answer:

[tex]\mathbf{r = \dfrac{400p }{ 500 -p}}[/tex]

Step-by-step explanation:

Given that:

Last Sunday a certain store sold copies of Newspaper A for $1.00 each

A = 1

and copies of Newspaper B for $1.25 each,

B = 1.25

and the store sold no other newspapers that day. If r percent of the store's revenue from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of Newspaper B.

Then ;

[tex]r = \dfrac{A}{A+1.25B} \times 100[/tex]  --- (1)

[tex]p = \dfrac{A}{A+B} \times 100[/tex]        --- (2)

From (2)

[tex]A+B = \dfrac{A}{p} \times 100[/tex]

[tex]B = \dfrac{A}{p} \times 100-A[/tex]

[tex]B = \dfrac{A( 100-p)}{p}[/tex]

Substituting the value of B into equation (1), we have:

[tex]r = \dfrac{A}{A+1.25 \times { \dfrac{A( 100-p)}{p}}} \times 100[/tex]

[tex]r = \dfrac{A}{A+1.25 \times { A( 100-p)}} \times 100p[/tex]

[tex]r = \dfrac{100p}{p+125 -1.25 p}[/tex]

[tex]r = \dfrac{100p}{125 -0.25 p}[/tex]

multiplying both numerator and denominator by 4; we have

[tex]r = \dfrac{4(100p) }{ 4(125 -0.25) p}[/tex]

[tex]\mathbf{r = \dfrac{400p }{ 500 -p}}[/tex]

Answer: see attachments

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Brianna=x

Justin=x+10

Hannah=2(x+10)

x+x+10+2x+20=130

4x+30=130

4x=130-30

4x=100

x=25

Justin =x+10 = 25+10=35

Answer: 2

Step-by-step explanation: 16/8=2

Answer:

Commutative Property  

Associative property

Additive inverse  

Identity property

Step-by-step explanation:

In a  commutative property multiplication and addition which posses commutative property takes place without considering the order of arrangement of data

12.2 + 18.6 + –4.3 + (–18.6)

12.2 + –4.3 + 18.6 + (–18.6)

The second step results into the presence of a commutative property.

The next step 12.2 + –4.3 + [18.6 + (–18.6)] is an associative property because here, re-grouping of numbers which gives the same result takes place

[18.6 + (–18.6)] is an additive inverse since the result is zero. Additive inverse occurs when the addition of a number to another number results into zero

12.2 + –4.3 + (0)   is an Identity property

Identity property occurs when the addition of any number with zero eventually resulted into that number.

Answer:

Commutative Property  

Associative property

Additive inverse  

Identity property

Step-by-step explanation:

Step-by-step explanation:

let us consider the elevation of the sun is x

then

x=6×6

x=36

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

r = [tex]\frac{5}{8}[/tex] t - 9 ← is in slope- intercept form

with y- intercept c = - 9

Function 2 has the ordered pair (0, - 9 )

This indicates that when t = 0 , r = - 9

This is the y- intercept at - 9

Thus both functions have the same y- intercept