There is an initial fee to join a gym, plus a
monthly charge. The table represents the linear
relationship between the total cost of joining
the gym and the number of months a person is
a member. What is the y-intercept of the line,
and what does it represent in this situation?

I took a pic of the table

Answer:

x = 3.2

Step-by-step explanation:

Aquí, queremos encontrar el valor de x en la imagen de arriba.

Matemáticamente eso sería;

x / 4 = (x + 16) / (20 + 4)

x / 4 = (x + 16) / 24

Cruz multiplicar 24 * x = 4 (x + 16)

24x = 4x + 64

24x - 4x = 64

20x = 64

x = 64/20 x = 3,2

From the transversal proportionality theorem of parallel lines r,s,t. the value of x is 3.2.

It is given that r, s, t are parallel to each other. The length of the sides is given as 16, 20, 4, x. we need to find the value of x.

If two or more parallel lines are cut by two transversals, then they divide the transversals proportionally.

From the transversal proportionality theorem,

When r, s, t are parallel to each other then a / x = b / y

so,

[tex]\rm \frac{16}{x} = \frac{20}{4} \\\rm x = \frac{16}{5} \\\rm x = 3.2[/tex]

Therefore, from the transversal proportionality theorem of parallel lines r,s,t. the value of x is 3.2.

Learn more about the transversal proportionality theorem here:

https://brainly.com/question/4087830

Answer:

i figured out how to attach lol

Step-by-step explanation:

Answer:

16/20

Step-by-step explanation:

Answer:

they also can be considerd perpendicular because they interset and make a 90 degree/right angle

Step-by-step explanation:

9514 1404 393

Answer:

  y = -x^2 +3x -4

Step-by-step explanation:

We are given two points with the same y-value, so we know the axis of symmetry lies halfway between their x-coordinates, at ...

  x = (1 +2)/2 = 3/2

Then the vertex form of the equation can be written ...

  y = a(x -3/2)^2 +k

__

We can use two of the points to find the values of 'a' and 'k'.

For (x, y) = (1, -2)

 -2 = a(1 -3/2)^2 +k = a/4 +k

For (x, y) = (3, -4)

  -4 = a(3 -3/2)^2 +k = 9a/4 +k

Subtracting the first of these equations from the second, we have ...

  (9a/4 +k) -(a/4 +k) = (-4) -(-2)

  2a = -2

  a = -1

Then k can be found from the first equation.

  -2 = -1/4 +k

  k = -1  3/4

So, the vertex form equation is ...

  y = -(x -3/2)^2 -7/4

__

Expanding this, we can find the standard form.

  y = -(x^2 -3x +9/4) -7/4)

  y = -x^2 +3x -4

Answer:

1cm: 20km

Step-by-step explanation:

Substitute x with -1/2 and y with 1/2.

So the equation will look like this:

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

= -3/ -2.5 + 1/2

= -3/ -2

= 1.5

Therefore, the answer is 3/2 or 1.5.

Answer:

3x - 6y = -21

Step-by-step explanation:

The Y and X must stay the same for the same slope while the constant will change depending on the y-intercept.

Answer:

It’s D

Step-by-step explanation:

The equation of the parallel line is y = x - 3, the correct option is C.

The intersection of the graph of the function with the y-axis gives y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Assume that we've got: y = f(x)

At y-axis, we've got x = 0, so putting it will give us the y-intercept.

Thus, y-intercept of y = f(x) is y = f(0)

We are given that;

x-intercept = 3

Now,

we can find the equation of the line parallel to the given line and passing through the point (3, 0):

The given line has an equation of y = x + 3. This is already in slope-intercept form, so we can see that the slope is 1. The parallel line will have the same slope of 1.

The point that the parallel line passes through is (3, 0). We can use this point and the slope to write the equation of the parallel line in point-slope form:

y - 0 = 1(x - 3)

y = x - 3

Therefore, the slope intercept will be y=x-3

Learn more about y-intercept here:

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#SPJ7

Answer:

10

Step-by-step explanation:

We can look at the denominators(bottom numbers in a fraction), and find a relationship. 15 is 5 times 3, so let's multiply 2 by 5 to get z!

2(5)=10

Answer:

theb correct answer is d VHow does your body’s flexibility naturally change as you age?

Step-by-step explanation:

Answer:

A. R: -1 < y < 3

Answer:

(f - g)(x) = -x² + 3x + 7 ⇒ D

Step-by-step explanation:

In the expression x - a, you will subtract a from x

Let us solve the question using this fact

∵ f(x) = 3x + 1

∵ g(x) = x² - 6

→ We need to find (f - g)(x), which means subtract g from x

∵ (f - g)(x) = (3x + 1) - (x² - 6)

→ The negative sign before (x² - 6) will change their signs

∵ - (x² - 6) = -(x²) + -(-6)

→ Remember (-)(+) = - and (-)(-) = (+)

∴ - (x² - 6) = -x² + 6

→ Substitute it in (f - g)(x)

∴ (f - g)(x) = 3x + 1 - x² + 6

→ Add the like terms

∴ (f - g)(x) = 3x - x² + (1 + 6)

∴ (f - g)(x) = 3x - x² + 7

→ Re-arrange the terms from the greatest power of x

∴ (f - g)(x) = -x² + 3x + 7

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

Yes the researcher can  conclude that the supplement has a significant effect on cognitive skill

b

[tex]d =  0.5778 [/tex]

c

The result of this hypothesis test shows that there is sufficient evidence to  that the supplement had significant effect.The measure of effect size is  large due to the large value of Cohen's d (0.5778 > 0.30 )

Step-by-step explanation:

From the question we are told that

  The sample size is  n=16

    The sample mean is  [tex]M  =  50.2[/tex]

    The standard deviation is [tex]\sigma  = 9[/tex]

    The  population mean is  [tex]\mu =  45[/tex]

     The level of significance is  [tex]\alpha =  0.05[/tex]

The null hypothesis is [tex]H_o  \mu =45[/tex]

The alternative hypothesis is [tex]H_a  \mu \ne 45[/tex]

Generally the test statistics is mathematically represented as

          [tex]z =  \frac{M -  \mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

=>       [tex]z =  \frac{50.2 - 45}{\frac{9}{\sqrt{16} } }[/tex]

=>       [tex]z =  2.31 [/tex]

Generally the p-value is mathematically represented as

     [tex]p-value  =  2 *  P(Z >  z )[/tex]

      [tex]p-value  =  2 *  P(Z >  2.31 )[/tex]

From the z-table  

      [tex]P(Z >  2.31 ) = 0.010444[/tex]

=>     [tex]p-value  =  2 *  0.010444 [/tex]

=>     [tex]p-value  =  0.021 [/tex]

From the obtained values we see that [tex]p-value <  0.05[/tex]

 Decision Rule

 Reject the null hypothesis

Conclusion

There is sufficient evidence to conclude that the supplement has a significant effect on the cognitive skill of elderly adults

Generally the Cohen's d for this study is mathematically represented as

    [tex]d =  \frac{M  -  \mu}{\sigma }[/tex]

=>  [tex]d =  \frac{50.2 -45}{9 }[/tex]

=>  [tex]d =  0.5778 [/tex]

Answer:

175.79* .0825 = 14.50 + 175.79 =  190.29 $190.25

Step-by-step explanation:

The amount of sales tax Samuel will pay is $14.50

Given the following information

Get the amount of sales tax:

Amount of sales tax = 8.25% of $175.79

Amount of sales tax = 0.0825 * 175.79

Amount of sales tax = $14.50

Hence the amount of sales tax Samuel will pay is $14.50

Learn more on sales tax here: https://brainly.com/question/9437038

Answer:

0.48

Step-by-step explanation:

Multiply 0.6 and 0.8 to get 0.48.

0.48

Answer:

7 and the remainder is 0

Step-by-step explanation:

Answer:

-60.8-(-3.1)= -57.7

Explain:

(-9.5)6.4 = -60.8

(-9.5) + 6.4 = -3.1

Answer:

10

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

BCCCCCC

Complete Question

Question: In the bronze medal game of the 2014 FIBA Asia Cup... In the bronze medal game of the 2014 FIBA Asia Cup, and with his team down by two points, Philippines guard Paul Dalistan was fouled while attempting a three-pointer at the buzzer. He missed the shot and headed to the line for three foul shots.

1. Watch the video of Dalistan preparing to take his first shot. Before he shoots, what is the probability that Philippines will win the game? Lose the game? Send it into overtime? Dalistan’s free throw percentage is 84.6%

Answer:

a

    The probability that Philippines will win the game is   [tex]P(A) =  0.6055 [/tex]

b

   The probability that Philippines will lose the game is [tex]P(B) =  0.00365[/tex]

c

  The probability that the game will be sent to overtime  is [tex]P(C) =  0.06 [/tex]

Step-by-step explanation:

From the question we are told that

    The  probability of  Paul Dalistan making a shot is  p  =  0.846

   The probability of  Paul Dalistan not making the shot is  [tex]q = 1- p = 1- 0.846=0.154[/tex]

     Paul Dalistan team was down by two points

This mean that for Paul Dalistan's  team to win the game he must make the 3 free throws

So the probability that Philippines will win the game is mathematically represented as

    [tex]P(A) =   p^3 [/tex]

=>  [tex]P(A) =  0.846^3[/tex]

=>  [tex]P(A) =  0.6055 [/tex]

Gnerally for Paul Dalistan's  team to loss the game it means that Paul Dalistan did not make any of the free shot

Hence the probability that Philippines will loss the game is  

     [tex]P(B) =  q^3[/tex]

=>  [tex]P(B) =  (0.154 )^3[/tex]

=>  [tex]P(B) =  0.00365[/tex]

Generally for the game to be sent to overtime  then the game must be tied and for the game to be tied, Paul Dalistan have to make 2 out of the three shots

   Hence the probability that game will go to overtime is  

          [tex]P(C) =  3 *  0.846 *  0.154  *  0.154[/tex]

         [tex]P(C) =  0.06 [/tex]

Answer:

Step-by-step explanation:

Answer:

Jessie will read 9 books in 3 weeks.

Step-by-step explanation:

3 x 3 = 9

Answer: 9

Step-by-step explanation: If you need an equation, you can create one:

t = total number of books read

w = weeks

t = 3w

The 3 is there because she reads 3 books weekly, so you multiply the number of weeks by the number of books she reads.

Plug in 3 weeks:

t = 3(3)

t = 9 books

Jessie reads 9 books in 3 weeks.

Answer:

Pretty Sure It's, B, C, F, H

Step-by-step explanation:

Because, If you put each in decimal form and compare it with 5.8, just find out the bigger number and BOOM, you got ya answer!

Answer:

B C F H

Step-by-step explanation:

hope this helps can i please have brainliest that would be great

Answer:

Gail will have 8 cards before adding those 10, 18 if she added those 10.

Step-by-step explanation:

When Gail has 8 cards then Helen would have 18 cards, whicj is twice more than double that of Gail's.

Answer:over 10

Step-by-step explanation:

Get sticke bugged lol

Answer:

Answer to 1. 2. 3.

Step-by-step explanation:

1. Pairs of socks: 1, 4, 5, 10

Cost in dollers: 2.50, 10, 12.50, 25

you can buy 10 pairs of socks for 25$

2. Miles: 35, 280, 420

Gallons: 1, 8, 12

Mr. fink cand drive 280 miles on 8 gallons of gas.

3. Pages 1, 2, 3, 4, 5, 6

Stickers: 9, 18, 27, 36, 45, 54

Jenny has 54 stickers in her unicorn sticker book.