A health club surveyed 175 members about which types of equipment they had used in the past month. Of the 175 members, 117 had used treadmills, 89 had used stationary bikes, and 53 had used both types of equipment. Some members had used neither type of equipment. Of the 175 members, how many had used treadmills, stationary bikes, or both?

Answer:

[tex]\displaystyle p > \frac{1}{4}[/tex].

Step-by-step explanation:

Expand the left-hand side of this equation:

[tex]p\, (x + 1)\, (x - 3) = p\, \left(x^2 - 2\, x - 3\right) = p\, x^2 - 2\, p\, x - 3\, p[/tex].

Collect the terms, so that this quadratic equation is in the form [tex]a\, x^2 + b\, x+ c = 0[/tex]:

[tex]p\, x^2 - 2\, p\, x - 3\, p = x - 4\, p - 2[/tex].

[tex]p\, x^2 - (2\, p + 1)\, x + (p + 2) = 0[/tex].

In this equation:

Calculate the quadratic discriminant of this quadratic equation:

[tex]\begin{aligned}b^2 - 4\, a\, c &= (-(2\, p + 1))^2 - 4\, p\, (p + 2) \\ &= 4\, p^2 + 4\, p + 1 - 4\, p^2- 8\, p = -4\, p + 1\end{aligned}[/tex].

A quadratic equation has no real root if its quadratic discriminant is less then zero. As a result, this quadratic equation will have no real root when [tex]-4\, p + 1 < 0[/tex]. Solve for the range of [tex]p[/tex]:

[tex]\displaystyle p > \frac{1}{4}[/tex].

Answer:

70/100*130= $91

Step-by-step explanation:

Answer:

$91

Step-by-step explanation:

CP= $70

Markup= 30%

Answer:

y = 2x + 54

Step-by-step explanation:

slope of equation:

(y2-y1)/(x2-x1)

= (72-58)/(9-2)

= 14/7

= 2

y = 2x + b

58 = 2(2) + b

58 = 4 + b

b = 54

Answer:

third option

Step-by-step explanation:

A graph representing direct variation must pass through the origin.

The graph through (- 4, 3) and (4, 3) is a horizontal line and does not go through the origin.

Thus the line does not represent a direct variation because it does not go through the origin.

Answer:

Step-by-step explanation:

40

Answer:

40

Step-by-step explanation:

 20              

20

+-----

zero plus zero is zero

two plus two is four

40

Answer:

See below

Step-by-step explanation:

[tex] (x + 15)^2 - 10 = 0\\

(x + 15)^2 = 10 \\

(x + 15) = \pm\sqrt {10} \\

x + 15 = \pm 3.16227766\\

x + 15 = \pm 3.16\\

x = \pm 3.16 - 15\\

x = 3.16 - 15 \: or \: x = - 3.16 - 15\\

x = - 11.84\: or \: x = - 18.16\\

lesser\: x = \boxed{-18.16}\\\\

greater\: x = \boxed{-11.84}\\\\[/tex]

Answer:

3. 12.5π + 100

6. 25π + 250

Step-by-step explanation:

3. So you can first calculate the area of the square, which is 100.

Then you have to calculate the semicircle.

You can see that the diameter is 10.

The radius is 5.

The area of the semicircle is 12.5π

Total area is 12.5π + 100

6. You have a one rectangle and two semicircles.

You can calculate the area of the semicircles first.

25π

Then, you have to see how much the width of the rectangle is.

You can see that the total width is 35, and the radius of each semicircle is 5.

35 - 5 - 5 = 25

The width is 25 so the area of the rectangle is 250.

The total is 25π + 250.

Answer:

1,3

Step-by-step explanation:

they meet at 1,3 I assume that what ur looking for

Answer:

1 and 4 form a straight angle

Step-by-step explanation:

just this one, all other options make no sense

Answer:

Simplified answer is A and D.

Step-by-step explanation:

Answer: Company B

Step-by-step explanation:

First we must calculate the area of the carpet. Variable A represents area.

[tex]14*12=A[/tex]

[tex]A=168[/tex]

So the area of the carpet is 168 square feet.

To find what company A will charge we will multiply the 168 by 2.75 they charge per square foot.

[tex]168*2.75= Company A\\[/tex]

Company A charges, $462, while Company B will charge $450 for the one room.

This means Company B has the better price.

Answer: b?

Step-by-step explanation:

I think it b on edg.

The table of ordered pair is an illustration of a linear function.

The value of y when x = 8 is -8

From the table (see attachment), we have the following highlights

When x = 10, y = -12

So, when x decreases by 2 (to 8), the value of y will increase by 4 (to -8).

Hence, the value of y when x = 8 is -8

Read more about ordered pairs at:

https://brainly.com/question/17215264

Answer:

The answer is [tex]\frac{1}{6}a - \frac{1}{6}[/tex] .

Step-by-step explanation:

Solve the following equation:

[tex]-\frac{2}{3}a + \frac{5}{6}a - \frac{1}{6}[/tex]

Combine [tex]-\frac{2}{3} a[/tex] and [tex]\frac{5}{6} a[/tex] :

[tex]-\frac{2}{3}a + \frac{5}{6}a - \frac{1}{6}[/tex]

[tex]\frac{1}{6}a - \frac{1}{6}[/tex]

So, the answer is [tex]\frac{1}{6}a - \frac{1}{6}[/tex] .

Answer:

1/6a-1/6

Step-by-step explanation:

Answer:

erm

Step-by-step explanation:

4.41 times 10^-1

Answer:

I have never done this before so I can't say this is the right answer and I also never used this but this is what I got⬇️

Step-by-step explanation:

so the graph shows car A and car B so I connected car B and A to the numbers down bellow and Car A got to 4mL and then I connected car B and it got to 5ML again I can't say this is the right answer

Answer:

9 degrees Celsius

Step-by-step explanation:

I graphed the function on the graph below to find the maximum of the parabola. The maximum is at (9,200), which means at 9 degrees Celsius, there are 200,000 fish.

The temperature at which there will be maximum number of fishes is given by the point (9, 200), is it is 9 degrees.

Given data:

To find the temperature that will result in the maximum number of fish, determine the x-value (temperature) at the vertex of the quadratic function.

The given function is P(x) = -2(x - 9)² + 200, where P(x) represents the fish population in thousands and x represents the water's temperature.

The general form of a quadratic function is y = a(x - h)² + k, where (h, k) represents the vertex of the parabola.

The vertex form of the function is P(x) = -2(x - 9)² + 200.

Comparing this to the general form, the vertex of the parabola is at the point (9, 200).

Hence, the temperature that will result in the maximum number of fish is 9 degrees (the x-value of the vertex).

To learn more about parabola click :

https://brainly.com/question/24042022

#SPJ2

Answer:

a) 18

Step-by-step explanation:

There are three possible outcomes for every amount of GB and since there are 6 different quantities of GB then we get:

6×3=18 possible outcomes.

Answer:

5 2/3

Step-by-step explanation:

3x-4=13

    +4  +4

Add 4 to -4 and 13.

If you add a positive # to a negative one you get a positive number so -4+4 is 0

3x=17

divide 3 and 17

you get 5 2/3

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 2, - 5) and (x₂, y₂ ) = (- 3, - 6)

m = [tex]\frac{-6-(-5)}{-3-(-2)}[/tex] = [tex]\frac{-6+5}{-3+2}[/tex] = [tex]\frac{-1}{-1}[/tex] = 1

Answer:

-4.5r + 12.3

Step-by-step explanation:

Multiply -4.5(r-2)

-4.5r + 9 + 3.3

Add 9+3.3=12.3

-4.5r + 12.3

Hope this helps plz mark brainliest

Answer:

396cm^3

Step-by-step explanation:

The formula for calculating volume of triangular prism is 1/2×bhl (b: base, h : height, l : length)

1/2 × 9 × 11 × 8 = 396cm^3

Answer:

(A ) Oldies

Step-by-step explanation:

Goodies

First, we determine the revolution rate per minute of the Goodies.

Revolution rate per minute [tex]=$Number of Revolutions \div $Number of Minutes[/tex]

[tex]=\dfrac{135}{3} =\dfrac{180}{4} =\dfrac{225}{5}=45$ revolutions per minute[/tex]

Since the oldies have a rate of 78 revolutions per minute;

78 rpm. >45 rpm.

We therefore conclude that the Oldies has a greater rate of revolutions per minute.

The correct option is A.

Answer:

x = 10

y = 20

Step-by-step explanation:

In a 30 60 90 triangle, all triangles follow the same pattern of side lengths.

The short leg, x, will be equal to the coefficient of the [tex]\sqrt{3}[/tex]

The hypotenuse will be twice the value of x

k=7

given a quadratic polynomial

ax^2+bx+c

the sum of the roots is given by -(b/a)

and the product of the roots as (c/a)

hence we get sum of roots as -(-(k+6)/1) and product of roots as (2(2k-1))/1

since the sum is equal to half the Product then we get

k+6=2k-1 and solving for k we get 7

Answer:

864

Step-by-step explanation:

V=lwh

=16×9×6

=864 inches

Answer:

864 is the volume

Step-by-step explanation:

You can find the answer by applying the volume formula Length x Width x Height.

16x9x6=  864

It does not matter in which way you put the order of length, width and height.

Answer:

Step-by-step explanation:

Cashmere and mohair fibers are produced from goats

seeds, fruits, stems, and leaves all produce natural plant fibers

Answer:

1) On the x-axis, the arm span is plotted. On the y-axis, the height is plotted. It is chosen to be that way because the numbers on that have been assigned on the x-axis increase and decrease in a small amount, while the numbers on the y-axis increase and decrease in a huge amount.

2) (lolz i cant show u my work but i will try my best with explanations even tho ian allat.) So, Using the slope formula, I got a the equation y=x+15. The equation was determined with the formula m=y2-y1/x2-x1. The points that were used included (37,40) and (47,50). After finding the slope, I did the best guess for the y-intercept, which is known as b in y=mx+b.

3) The slope of the line represents the time it takes for the arm span and the height. The y-intercept represents the height that the arm span starts developing or gets bigger.

4) It fits perfectly

5) The data is pretty inconsistent.

6)  About 68-69 inches tall

7)About 71-72 inches wide

yeo u had my brain work after this

Step-by-step explanation:

Answer:

other person is correct

Step-by-step explanation:

Answer:

The answer is A shape with a triangle base and 3 triangular sides.

Answer:

D

Step-by-step explanation:

Good Luck!

Answer:

I am hoping for this to be correct