One class is selling tickets for $2.50 each and has already raised $350.
• The other class is selling tickets for $3.00 each and has already raised $225.

Which equation can be used to find t, the number of tickets each class needs to sell so that the total amount raised is the same for both classes?

Answer:

c

Step-by-step explanation:

Modeling the data in the table is done via the equation y = 4 sine (pi/6x) + 6.

Over a period of years, a cyclical pattern recurs with considerable regularity. Cyclical patterns are distinct from seasonal patterns in that they last across a number of years as opposed to only one year for seasonal trends.

Given, The table shows the height of water in feet at different times. The water rises and falls in a cyclical pattern.

Table:

12 AM                      6  

3 AM                        10

6 AM                        6  

9 AM                        2  

12 PM                       6  

from the general formula of wave

y = A sin(bx + c)

Substituting values in the equation from the graph attached below:

6 = A sin(0*b + c)......(1)

10 = A sin3b + c...(2)

6 = A sin6b + c......(3)

2 = A sin9b +c........(4)

Since -c/b is a phase shift of the graph

Thus

-c/b = 6

c = -6b

from equations 2 and 1

2* 6 = Asin(-3b) = -Asin3b

2 * 6 = Asin(-6b) = -Asin6b

2* 6/6 =sin6b/sin3b

1 = Cos3b

Thus b = π/6

from substitution in equations 3

6 = A sin6b + c

=> 6 = Asin 6* pi/6  + c

=> c = 6

[tex]\begin{table}[]\begin{tabular}{ll}12 AM & 6 \\3 AM & 10 \\6 AM & 6 \\9 AM & 2 \\12 PM & 6 \end{tabular}\end{table}[/tex]from substitution in equations 2

10 = A sin3b + c

A = 4

therefore, The equation that models data in the table is y = 4 sine (pi/6x) + 6.

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Step 1:

[tex]25+10x+x^2[/tex]

Let's split split 10x to factorise

Step 2:

[tex] = 25 + 5x + 5x + {x}^{2} [/tex]

Step 3:

[tex] = 5(5 + x) + x(5 + x)[/tex]

Step 4:

[tex] \green{= (5 + x)(5 + x)✓}[/tex]

Best regards!

★Dull Star★

Answer:

(x+5)(x+5)

Step-by-step explanation:

Let's arrange it in a proper manner first of all.

Step: Spilt 10x in order to factorize it.

x² + 10x + 25

0r, x² + 5x + 5x + 25

Step: Make two pairs from equation

x² + 5x + 5x + 25

0r, x(x+5) + 5(x+5)

Step: Take common thing from the given equation

x(x+5) + 5(x+5)

0r, (x+5)(x+5)

Hence, (x+5) and (x+5) are the factor for the given equation.

Answer:

1. [tex] m = slope = \frac{12}{7} [/tex]

2. [tex] y = \frac{12}{7}x [/tex]

3. Domain: 0≤x≤7

Range: 0≤y≤12

Step-by-step explanation:

1. Assuming 1 unit = 1 box on the grid, therefore, coordinates of C and D would be:

C(0, 0),

D(7, 12)

[tex] Slope = m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 0}{7 - 0} = \frac{12}{7} [/tex]

2. Equation of the using the slope-intercept formula, [tex] y = mx + b [/tex], where,

[tex] m = slope = \frac{12}{7} [/tex]

b = y-intercept, which is where the line CD cuts the y-axis = 0

Plug in the values for m and b into the formula to get the equation of the line:

[tex] y = \frac{12}{7}x + 0 [/tex]

[tex] y = \frac{12}{7}x [/tex]

3. The domain for C to D part = all x-values = 0≤x≤7

The range = all y-values = 0≤y≤12

6 - (3x+10) + 4(2-x)=15

6- (3x +10) + 8-4x = 15. ( opening brackets)

-3x - 4x= 15 - 6-8. ( keeping all x terms on left and moving numbers to the right)

-7x = 1

x= 1/-7

Hope this helps:)

Answer: A raffle is being held to benefit the local animal shelter. They sell 903 tickets that do

not win any prize, 18 tickets that win a free adoption (valued at $20), and one ticket

that wins $171 worth of pet supplies and toys. If they are selling the tickets for $5

each, how much should the shelter expect to earn for each ticket sold?

Round to the nearest cent, as needed.

sorry if it appears messy!!!

Step-by-step explanation:

Answer:

p = 3.6666(repeating)

Step-by-step explanation:

3/5(p-3)=-4

We simplify the equation to the form, which is simple to understand  

3/5(p-3)=-4

Simplifying:

+ 0.6*(p-3)=-4

Reorder the terms in parentheses

+( + 0.6p-1.8)=-4

Remove unnecessary parentheses

+ 0.6p-1.8=-4

We move all terms containing p to the left and all other terms to the right.  

+ 0.6p=-4+1.8

We simplify left and right side of the equation.  

+ 0.6p=-2.2

We divide both sides of the equation by 0.6 to get p.  

p=-3.66666666667

Answer:

x = 29

Step-by-step explanation:

8 + x = 37

Subtract 8 from each side

8-8 + x = 37-8

x = 29

Answer: D

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

(2x + 3)(2x - 3)(x - 2) is the factor form of the expression (2x + 3)(2x - 3)(x - 2).

Option A is the correct answer.

(2x + 3)(2x - 3)(x - 2).

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4x³ - 8x² - 9x + 18

We will check the expression in factor form:

A.

(2x + 3)(2x - 3)(x - 2)

(2x + 3) (2x² - 4x - 3x + 6)

4x³ - 8x² - 6x² + 12x + 6x² - 12x - 9x + 18

4x³ - 8x² - 9x + 18 ____(1)

B.

(2x + 3)(2x + 3)(x - 2)

(2x + 3) (2x² - 4x + 3x - 6)

4x³ - 8x² + 6x² - 12x + 6x² - 12x + 9x - 18

4x³ + 4x² - 15x - 18 ____(2)

C.

(2x + 3)(2x - 3)(x + 2)

(2x + 3) (2x² + 4x - 3x - 6)

4x³ + 8x² - 6x² - 12x + 6x² + 12x - 9x - 18

4x³ + 14x² + 3x - 18 ____(3)

D.

(2x - 3)(2x - 3)(x - 2)

(2x - 3) ( 2x² - 4x - 3x + 6)

4x³ - 8x² - 6x² + 12x - 6x² + 12x + 9x - 18

4x³- 20x² + 33x - 18 ____(4)

From (1), (2), (3), and (4) we see that,

(2x + 3)(2x - 3)(x - 2) is the factor form of the expression (2x + 3)(2x - 3)(x - 2).

Option A is the correct answer.

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Answer:

Actual answer is [tex]\frac{15-4\sqrt{39} }{40}[/tex]

Step-by-step explanation:

Answer:

pretty sure 8.5 inches

Step-by-step explanation:

Answer:

68 inches

Step-by-step explanation:

16 + 1 = 17

16 divided by 2 = 8

so 8 x 8 = 64

so that leaves one year- 4 inches

64+4=68

Answer:

a=9

Step-by-step explanation:

Answer:

-2a+6=12

     -2a=12-6

       -2a=6

        -2a=6

Divide both sides by -2a

     a=-3

Step-by-step explanation:

Answer:

what do you need to to know 1) what kind of function its or 2) whats the answer of y and/or x

Answer:

"-10 units per unit increase in x"

Step-by-step explanation:

That "-10" is the rate of change:   "-10 units per unit increase in x."

Answer:

poope

Step-by-step explanation:

dhishd ok wbeiebeijfid djdiixe

Answer:

Step-by-step explanation:

The student is correct because the number has decimal expansion that repeats.

Answer:

[tex]-6\leq y[/tex]∠ 4

Step-by-step explanation:

range is the values for y: y can be (including) -6 all the way up to (not including) 4

Answer:

reghfjkvbnerfnhdbetuigkjoghbnurhjeuiogwr4th

Step-by-step explanation:

Answer: 3mph/seconds

Step-by-step explanation:

Divide 30 by 10. 30mph/10seconds = 3mph/seconds

Answer:

He made $108 in 9 hours

Step-by-step explanation:

I first multiplied 12 by 9 and got 108

Answer:

$108

Step-by-step explanation:

12 x 9 = 108

$108/9 hours

Answer:

13.7

Step-by-step explanation:

All you need to do is divide by 2, hope this helped!

Answer:

QM = 13.7

Step-by-step explanation:

Step 1:

QP ÷ M = QM      Def. of ∠ bisector

Step 2:

27.4 ÷ 2      Input Values

Answer:

13.7      Divide

Hope This Helps :)

Answer:

ab = 280

or

a = 280/b

Step-by-step explanation:

Inverse variation is of the form

xy = k

Since we have a and b as our variables

ab = k

20 *14 = k

280 = k

ab = 280

Sometimes they write it as

a = 280/b

Answer:

lost 12

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer

Answer = 5

Step-by-step explanation:

amberlouise2

Ambitious

71 answers

3.6K people helped

4 X 5 = 20

9 X 5 = 45

20 + 45 = 65

Answer:

(a) The unit circle is centered at (0,0) with a radius of 1.

(b) The equation of a circle of radius r, with a center located at (0,0):

x²+ y² = r².

(c) (i) P(1,0)

    (ii) P(0,1)

    (iii) P(-1,0)

    (iv) P(0,-1)

Step-by-step explanation:

Part (a)

The unit circle is centered at (0,0). This point is the origin.

The radius of the unit circle is 1

The term "unit" means "one", which describes the radius length.

=========================================================

Part (b)

The equation of the unit circle is x^2+y^2 = 1

The general equation of any circle is (x-h)^2+(y-k)^2 = r^2

In this case, the unit circle has center (h,k) = (0,0) and radius r = 1.

=========================================================

Part (c)

The following four points are on the unit circle

As shown below in the diagram. The idea is to plug each given coordinate into the equation from part (b), and solve for the missing variable.

For example, if we know x = 1, then...

x^2+y^2 = 1

1^2+y^2 = 1

1+y^2 = 1

y^2 = 1-1

y^2 = 0

y = sqrt(0)

y = 0

Meaning x = 1 leads to y = 0. So (x,y) = (1,0) is one point on the circle. The other parts are handled in a similar fashion.

Answer:

D) y=3x+1

Step-by-step explanation:

If you fill in the numbers y=3x+1 is the equation that will always be true for the chart.

hope this helps

Answer:

no, 835% is not less than 0.95.

Step-by-step explanation:

as a percentage, 0.95 is 95%. 835% is greater than 95%. hope this helps.

Answer:

No

Step-by-step explanation:

835% as a decimal would be 8.35 and 0.95 is what you are comparing it to, so you could look at it's whole number and you see that it is bigger than zero so it is indubitably more than 0.95.

Hope this helps :)

Answer:

46;&74)474:&48&4:&48&

Step-by-step explanation:

For example if you have a function f(x) = x - 1, then x = 1 is a zero of this function because using it as x gives 1 - 1 = 0. The Riemann Zeta function has some zeros that are easy to find which are of little interest but there are some other ones that are harder to find which is why the are called non-trivial.

Answer: 490

Step-by-step explanation: 87+17+60+326 = 490

Answer:

With ignoring the last sentence the answer is 920.

Step-by-step explanation:

115/46=2.5

2.5*368=920