Peter organizes morning hikes for his friends every Saturday. When the hiking trail is 3 km long, 19 friends join him and when the trail is 5 km long, only 7 friends tag along. There exists a linear relationship between the distance of the hiking trail (in km) and the number of friends who tag along. The number of friends depend on the distance of the trail. Determine how many friends will tag along to a hiking trail of 2 km. ​

Answer:

[tex]{ \tt{g(x) = a {x}^{2} + bx + c = 0 }} \\ { \tt{f(x) = {a'x}^{2} + b 'x + c' = 0}} \\ { \boxed{ \bf{f(g(x)) = g(f(x))}}} : \\ { \tt{ =( \frac{a}{a'})x {}^{2} + ( \frac{b}{b'}) x} + \frac{c}{c'} } = 0[/tex]

Answer: B. Vertex is a maximum point at (3, 2)

Answer:

Step-by-step explanation:

First remove the parentheses.

As the sign outside the second parentheses is  a + then the signs of the terms inside stay the same.

So the first one + (-3x +2) is just -3x + 2.

All the others on the left column are answered in the same way.

No. 4:

(-2x + 10 + (-8x - 1)     Just remove the parentheses, we get:

-2x + 10 - 8x - 1           (we leave out the + before the second parentheses).

= -2x - 8x + 10 - 1        

= -10x + 9

6. 8x + 8 + ( -6x - 1)

= 8x + 8 - 6x - 1

= 8x - 6x + 8 - 1

= 2x + 7.

- the other expressions on the right side column are solved in the same way.

Answer:

all counting numbers except one

Answer:

8(1/x) = 4(1/10)

Step-by-step explanation:

lets say the number is x

eight times the reciprocal of a number equals 4 times the reciprocal of 10

  8       *                       1//x                            =        4    *         1/10

8/x = 4/10 ,  cross multiply

4x =8*10, divide both sides by 4

x= 80/4

x= 20

Answer:

$15,540

Step-by-step explanation:

I DONT KNOW IF ITS RIGHT THO BUT

9% = 1,800

Answer:

11,494.0³

Step-by-step explanation:

Volume of a sphere= (4/3) × pi × radius³

4÷3 × 3.14 ×14³

= 11,494.0³

Answer:

58.8 in²

Step-by-step explanation:

you have no calculator ?

since you clearly have a computer or smart phone - there are calculator apps on all of them.

you really just need to use the given numbers and multiply and add them following the formula. so, what is your problem ?

anyway,

2pi×r×h + 2pi×r²

h = 5.9

r = 1.3

2pi × 1.3 × 5.9 + 2pi × 1.3² = 2pi × 7.67 + 2pi × 1.69 =

= 58.8 in²

Answer:

wheres the underline pls let me know what is underlined ill answer it on comment

Answer:

the x-intercepts are at

x = -3

x = 0

x = 1

Step-by-step explanation:

ask the points, where the functional value is 0.

2x³ + 4x² - 6x = 0

we see that every term contains an expression of x. so, we can simplify this

x × (2x² + 4x - 6) = 0

so, one solution is plainly visible : x=0

for the other solutions we need to solve the square equation

2x² + 4x - 6 = 0

or even simpler

x² + 2x - 3 = 0

the solution of a square equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a=1

b=2

c=-3

x = (-2 ± sqrt(2² - 4×1×-3))/(2×1) = (-2 ± sqrt(4 + 12))/2 =

= (-2 ± sqrt(16))/2 = (-2 ± 4)/2 = -1 ± 2

x1 = -1 + 2 = 1

x2 = -1 - 2 = -3

Answer:

[tex]P(\bar A) = 0.5[/tex]

Step-by-step explanation:

Given

[tex]P(A) = 0.5[/tex]

Required

[tex]P(\bar A)[/tex]

To do this, we make use of complement rule:

[tex]P(\bar A) = 1 - P(A)[/tex]

So, we have:

[tex]P(\bar A) = 1 - 0.5[/tex]

[tex]P(\bar A) = 0.5[/tex]

Answer:

x=2.5

Step-by-step explanation:

2 (2+3y)÷2+3y=8

2+3y+3y=8

2+6y=8

6y=8-2

6y=6

y=1

x=2+3(1)÷2

x=5÷2

x=2.5

The values of x and y are 2.5,1

Answer:

Remember that the division by zero is not defined, this is the criteria that we will use in this case.

1) [tex]\frac{y^2 - 1}{y} + \frac{y}{y - 3}[/tex]

So the fractions are defined such that the denominator is never zero.

For the first fraction, the denominator is zero when y = 0

and for the second fraction, the denominator is zero when y = 3

Then the fractions exist for all real values except for y = 0 or y = 3

we can write this as:

R / {0} U { 3}

(the set of all real numbers except the elements 0 and 3)

2) [tex]\frac{b + 4}{b^2 + 7}[/tex]

Let's see the values of b such that the denominator is zero:

b^2 + 7 = 0

b^2 = -7

b = √-7

This is a complex value, assuming that b can only be a real number, there is no value of b such that the denominator is zero, then the fraction is defined for every real number.

The allowed values are R, the set of all real numbers.

3) [tex]\frac{a}{a*(a - 1) - 1}[/tex]

Again, we need to find the value of a such that the denominator is zero.

a*(a - 1) - 1 = a^2 - a - 1

So we need to solve:

a^2 - a - 1 = 0

We can use the Bhaskara's formula, the two values of a are given by:

[tex]a = \frac{-(-1) \pm \sqrt{(-1)^2 + 4*1*(-1)} }{2*1} = \frac{1 \pm \sqrt{5} }{2}[/tex]

Then the two values of a that are not allowed are:

a = (1 + √5)/2

a = (1 - √5)/2

Then the allowed values of a are:

R / {(1 + √5)/2} U {(1 - √5)/2}

Answer:

Step-by-step explanation:

Let C be the number of correct answers

Let B be the number of questions not answered

Let W be the wrong answers

Total = 2*C + B -  W

It's a trinomial. There are three unrelated terms.

Answer:

Step-by-step explanation:

On the graph of two inequalities, solution of two inequalities is defined by the common shaded area.

That means all the points which lie in this area will satisfy both the inequalities.

From the graph attached,

Points given in the options (0, 0), (0, -1) and (1, 1) are not lying in the solution area.

Since, ordered pair given in 4th option is not clear in the picture, Option (4) may be the answer.

Answer:

Slope is undefined. Line parallel to y-axis.

Step-by-step explanation:

By Analytic Geometry, we can determine the slope of a line by knowing two distinct lines and using the definition of secant line:

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] (1)

Where:

[tex](x_{1}, y_{1})[/tex] - Coordinates of the initial point.

[tex](x_{2}, y_{2})[/tex] - Coordinates of the final point.

[tex]m[/tex] - Slope.

If we know that [tex](x_{1}, y_{1}) = (17, -13)[/tex] and [tex](x_{2}, y_{2}) = (17, 8)[/tex], then the slope of the line is:

[tex]m = \frac{8-(-13)}{17-17}[/tex]

[tex]m = \frac{21}{0}[/tex]

The slope is undefined, which means that line is parallel to y-axis.

Hello!

3(x + 2) - 4x = 8 <=>

<=> 3x + 6 - 4x = 8 <=>

<=> -x + 6 = 8 <=>

<=> -x = 8 - 6 <=>

<=> -x = 2 <=>

<=> x = -2

Good luck! :)

Answer:

expected profit is  - $0.50

Step-by-step explanation:

1  $(7.00) 0.166666667  $(1.17)

2  $(7.00) 0.166666667  $(1.17)

3  $1.00  0.166666667  $0.17  

4  $1.00  0.166666667  $0.17  

5  $1.00  0.166666667  $0.17  

6  $8.00  0.166666667  $1.33  

   $(0.50)

Answer:

Step-by-step explanation:

48+1=49

Answer:

Note: See the attached photo for the graph showing Weight Not Over (lbs.) vs Price($). The attached excel file also shows the same graph with the data used to draw it in the excel.

Step-by-step explanation:

In the attached graph, Weight Not Over (lbs.) is on the horizontal axis while Price ($) is on the vertical axis.

From the attached, it can be observed that the graph shows an upward trend. That implies that there is a positive relation between Weight Not Over (lbs.) and Price. That is, as Weight Not Over (lbs.) rises, the Price also rises.

Set up a ratio of matching sides:

4/6 = x/5

Cross multiply

6x = 20

Divide both sides by 6

X = 3 1/3

Answer:

plese mark me brainlist

Step-by-step explanation:

thankyou and have nice day

Answer:

m∠TUV = 105

Step-by-step explanation:

From the question given above, the following data were obtained:

m∠TUN = 1 + 38x

m∠NUV = 66°

m∠TUV = 105x

m∠TUV =?

Next, we shall determine the value of x. This can be obtained as illustrated below:

m∠TUV = m∠TUN + m∠NUV

105x = (1 + 38x) + 66

105x = 1 + 38x + 66

Collect like terms

105x – 38x = 1 + 66

67x = 67

Divide both side by 67

x = 67 / 67

x = 1

Finally, we shall determine the value of m∠TUV. This can be obtained as shown below:

m∠TUV = 105x

x = 1

m∠TUV = 105(1)

m∠TUV = 105

1*2^3+0*2^2+1*2^1+1*2^0

8+0+2+1

=11

Answer:

The correct answer is =6.

Step-by-step explanation:

Solution,

Given;

11−17=49

or,11n-17=49

or,11−17+17=49+17

or,11=66

or,n=66/11

#n=6

HOPE IT HELPED♥︎

Answer:

Step-by-step explanation:

a = 5

b = 15

c = ?

c^2 = a^2 + b^2

c^2 = 5^2 + 15^2

c^2 = 25 + 125

c^2 = 250

sqrt(c^2) = sqrt(250)

c = sqrt(250)

Answer:

yes it is

Step-by-step explanation:

Answer: The rise and run is the two point between each other on a line for example 1/2 rise over run. 1 is rise and 2 is run so y=mx +b the slope is m and the y int is b so

Y= 1/2x + 3 the 3 is going to be on the Y acis not the X its important not to mix the two. In other words go to 0,0 make a line go up.. the from 0,0 go doen the same length

Step-by-step explanation:

Answer:

[tex]\sqrt[3]{x^5 \ y } = (x^5 y)^\frac{1}{3} = x^{ \frac{5}{3}} \ y^ { \frac{1}{3}}[/tex]

Answer:

[tex] {x}^{ \frac{5}{3} } {y}^{ \frac{1}{3} } [/tex]

Step-by-step explanation:

A cube root is equivalent to the power of 1/3, so by taking the powers of the exponents and multiplying them by 1/3, you get your answer.

Answer:

7 : 8

Step-by-step explanation:

that is the procedure above