A bicycle store costs ​$ 4050 per month to operate. The store pays an average of ​$55 per bike. The average selling price of each bicycle is ​$145. How many bicycles must the store sell each month to break​ even

Answer:

D

Step-by-step explanation:

|-6x+3|=0

-6x+3=0

-6x=-3

x=-3/-6

x=1/2

.........................................................I am d u m b

Answer:

reflection across the x axis.

Step-by-step explanation:

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

Answer:

Please find attached the graph of the quadratic function is created using Microsoft Excel

1) The line of symmetry is x = -1

2) The vertex is (-1, 2)

3) The y-intercept is (0, 1)

4) The domain is -∞ ≤ x ≤ ∞

5) The range is 2 ≥ y ≥ -∞

Step-by-step explanation:

The given equation is y = -x² - 2·x + 1

The general vertex form is y = a·(x - h)² + k

h = -b/(2·a) = 2/(-2) = -1

k = f(h) = -(-1)² - 2×(-1) + 1 = 2

Therefore;

1) The line of symmetry goes through the vertex and the line of symmetry is x = -1

2) The vertex = (h, k) = (-1, 2)

3) The y-intercept is the coordinate of the point where x = 0 which is  (0, 1)

4) The domain are the possible x-values, therefore, the domain = -∞ ≤ x ≤ ∞

5) The range is the possible values y-values.

From the graph, we have the range = 2 ≥ y ≥ -∞

The graph of the quadratic function is created using Microsoft Excel by generating y-values based on the equation and using the graphing function to insert a two dimensional graph of the generated combination of x and y values as shown in the attached figure.

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\[/tex]

From the question we have

[tex]d = \sqrt{ ({ - 9 - - 10})^{2} + ({1 - - 11})^{2} } \\ = \sqrt{ ({ - 9 + 10})^{2} + ({1 + 11})^{2} } \\ = \sqrt{ {1}^{2} + {12}^{2} } \\ = \sqrt{1 + 144} \\ = \sqrt{145} \: \: \: \: \: \: \: \: \\ = 12.041594[/tex]

We have the final answer as

Hope this helps you

Answer:

R has to be -2

Step-by-step explanation:

So to find a slope the formula is written as

Y2-Y1/ X2 -X1

We know X1 and X2 and Y1.

If we plug those in and put Y2 as the variable ”r”

You’ll get

[tex]\frac{r-4}{1+5}[/tex]

Now make that equal to -1 since thats the slope

If you solve the equation it should get you -2

Answer:

10x

Step-by-step explanation:

product In math means multiplication, whiles and means addition

Step-by-step explanation:

y = x² - 16

x² = y + 16

x = sqrt(y + 16) as x is non-negative.

Therefore f^-1(x) = sqrt(x + 16). (A)

Answer:

the answer is A

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'm that's hard to do

Answer:

The slide is approximately 12.75 feet.

Step-by-step explanation:

We know that Ruth is 5 feet tall, and her shadow is 3 feet tall.

5 ÷ 3 = 1.7 when rounded to the nearest tenth

Therefore, the shadow height of an object multiplied by 1.7 is the height of the actual object.

If the shadow of the slide is 7.5 feet, we need to multiply 7.5 by 1.7.

7.5 x 1.7 = 12.75

Therefore, the slide is approximately 12.75 feet.

Hope this helps! :D

Answer: 9

Step-by-step explanation:

I think this is the answer based off a estimate

Answer:

ok sooo just go over the grfat and mm  count it up to the dot.

Step-by-step explanation:

Answer:

256, 1024, 4096

Step-by-step explanation:

Multiply the number by 4 to get the next one.

Brainliest please

Answer: 12 by 12  by 5 by 5

Step-by-step explanation: 12*5 = 60

12+12+5+5

=34

Answer:

X= 4/7

Step-by-step explanation:

I used a calculator :)

Answer:

1.5

i think

Step-by-step explanation:

Step-by-step explanation:

9(x + 7)² divided by 3(x - 1)(x + 7)

= 3(x + 7)/(x - 1).

Cobra Kai yehdhehdhehehebdhdhdvdgdhdhdhdbdhdbdh

Answer:

20%

Step-by-step explanation:

((498/415)-1)*100

= (1.2-1)*100

= 0.2*100

= 20

Answer:

x=5

Step-by-step explanation:

Since there is no slope, there must be a constant y.

The constant y for this coordinate is 5.

When we have the equation x=5, that creates a straight line through all coordinates with 5 as a y-value.

Step-by-step explanation:

(f o g)(x)

= f(x² - 5)

= 4(x² - 5) + 1

= 4x² - 19.

Therefore (f o g)(4) = 4(4)² - 19 = 64 - 19 = 45.

Answer:

[tex]\boxed {\boxed {\sf 45}}[/tex]

Step-by-step explanation:

When solving a composition of function composition, work from the inside to the outside.

We have the composition:

We must start on the inside, and find g(4) first.

1. g(4)

The function for g is:

[tex]g(x)=x^2-5[/tex]

Since we want to find g(4), we have to substitute 4 in for x.

[tex]g(4)=(4)^2-5[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, and Subtraction. First we should solve the exponent.

[tex]g(4)=16-5[/tex]

Subtract 5 from 16.

[tex]g(4)= 11[/tex]

Now, since g(4) equals 11, we have:

2. f(11)

The function for f is:

[tex]f(x)= 4x+1[/tex]

We want to find f(11), so substitute 11 in for x.

[tex]f(11)= 4(11)+1[/tex]

Solve according to PEMDAS and multiply first.

[tex]f(11)= 44+1[/tex]

Add.

[tex]f(11)= 45[/tex]

(f o g)(4) is equal to 45.

Answer:

Whether a team had zero, one, or two Liberos for the first

sets of the match, they may designate new Liberos for the

deciding set.​

sheet at the start of the match. If zero or one Libero is designated on the line-up sheet, the coach may select a different Libero for subsequent sets, but may not have two Liberos. If two Liberos are designated on the line-up sheet for Set 1, those are the only two Liberos who may play for that team for the match. b.

Step-by-step explanation:

No. Whether a team designates one or two Liberos for the start of the match, the player(s) designated as Libero prior to the match will be the only players who may participate as a Libero in the match, except in the cases where re- designation is permitted

Given:

Zeroes of a polynomial are –2, –4, –3 + 4i.

To find:

The polynomial function of least degree with real coefficients in standard form.

Solution:

According to the complex conjugate root theorem, if a complex number a+ib is a zero of a polynomial, then its conjugate a-ib is also a zero of than polynomial.

–3 + 4i is zero of the polynomial. So, by complex conjugate root theorem -3-4i is also a zero of required polynomial.

If c is a zero of p(x), then (x-c) is a factor of p(x).

–2, –4, –3 + 4i, -3-4i are zeroes of the polynomials. So, (x+2), (x+4), (x+3-4i), (x+3+4i) are the factors of the required polynomial.

Let the required polynomial be p(x), so

[tex]p(x)=(x+2)(x+4)(x+3-4i)(x+3+4i)[/tex]

[tex]p(x)=(x^2+4x+2x+8)((x+3)^2-(4i)^2)[/tex]    [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

[tex]p(x)=(x^2+6x+8)(x^2+6x+9-16i^2)[/tex]    [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

[tex]p(x)=(x^2+6x+8)(x^2+6x+9-16(-1))[/tex]    [tex][\because i^2=-1][/tex]

[tex]p(x)=(x^2+6x+8)(x^2+6x+9+16)[/tex]

[tex]p(x)=(x^2+6x+8)(x^2+6x+25)[/tex]

[tex]p(x)=x^2(x^2+6x+25)+6x(x^2+6x+25)+8(x^2+6x+25)[/tex]

[tex]p(x)=x^4+6x^3+25x^2+6x^3+36x^2+150x+8x^2+48x+200[/tex]

Combining like terms, we get

[tex]p(x)=x^4+(6x^3+6x^3)+(25x^2+36x^2+8x^2)+(150x+48x)+200[/tex]

[tex]p(x)=x^4+12x^3+69x^2+198x+200[/tex]

Therefore, the required polynomial is [tex]p(x)=x^4+12x^3+69x^2+198x+200[/tex].