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liq [111]
3 years ago
14

Idk this is supper hard

Mathematics
1 answer:
vlabodo [156]3 years ago
4 0

Answer:

The equation of the line is:  y = x + 4

Step-by-step explanation:

When we are given two points passing through a line, we can find the equation of the line by using two - point form.

Two - point form:    $ \frac{\textbf{y - y}_\textbf{1}}{\textbf{y}_{\textbf{2}} \textbf{-} \textbf{y}_{\textbf{1}}} = \frac{{\textbf{x - x}_\textbf{1}}}{\textbf{x}_{\textbf{2}} \textbf{-} \textbf{x}_{\textbf{1}}    }$

where $ (x_1, y_1) \hspace{3mm} \& \hspace{3mm} (x_2, y_2) $ are the points passing through the line.

Here, let us take two points (can be any two):

$(x _1, y_1) = (1, 5) $ and

$ (x_2, y_2) = (5, 9) $

Therefore, we have:

$ \frac{y - 5}{9 - 5} = \frac{x - 1}{5 - 1} $

$ \iff \frac{y - 5}{4} = \frac{x - 1}{4} $

$ \iff y - 5 = x - 1 $

$ \implies y = x - 1 + 5 $

$ \implies y = \textbf{x + 4} $ which is the required answer.

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The Fall Festival charges $0.75 per ticket for the rides. Kendall bought 18 tickets for rides and spent a total of $33.50 at the
PIT_PIT [208]

<u>Part (a)</u>

The variable y is the dependent variable and the variable x is the independent variable.

<u>Part (b)</u>

The cost of one ticket is $0.75. Therefore, the cost of 18 tickets will be:

0.75\times 18=13.5 dollars

Now, we know that Kendall spent her money only on ride tickets and fair admission and that she spent a total of $33.50.

Therefore, the price of the fair admission is: $33.50-$13.50=$20

If we use y to represent the total cost and x to represent the number of ride tickets, the linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission can be  written as:

y=0.75x+20......Equation 1

<u>Part (c)</u>

The above equation is logical because, in general, the total cost of the rides will depend upon the number of ride tickets bought and that will be 0.75x. Now, even if one does not take any rides, that is when x=0, they still will have to pay for the fair admission, and thus their total cost, y=$20.

Likewise, any "additional" cost will depend upon the number of ride tickets bought as already suggested. Thus, the total cost will be the sum of the total ride ticket cost and the fixed fair admission cost. Thus, the above Equation 1 is the correct representative linear equation of the question given.

4 0
3 years ago
Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction
Ahat [919]
Well, an easier way than to divide fractions is to multiply the fractions, but to do that, flip the numerator and denominator for the second fraction.
For example, it becomes:    7               48          2
                                      --------   ×     --------  = ---------  (top×top & bottom×bottom)
                                        24              35           5

Answer is: 2/5
5 0
3 years ago
The common point between lines y = 2x + 5 and y = ½ x + 6 is (3, 1/2). true or false
mixer [17]
The common point between y = 2x + 5 and y = (1/2)x + 6 will have the same values for x and y.

Therefore, set the two y expressions equal to obtain
2x + 5 = (1/2)x + 6

Subtract (1/2)x from each side.
(3/2)x + 5 = 6

Subtract 5 from each side.
(3/2)x = 1

Multiply each side by 2/3.
x = 2/3.

From the first equation, obtain
y = 2*(2/3) + 5 = 19/3.

The common point is (2/3, 19/3). It is not equal to (3, 1/2).

Answer: False
5 0
3 years ago
Read 2 more answers
2x + 3 =-7 <br> Match equation to its solution
Blizzard [7]

Answer:

X= -5

Step-by-step explanation:

  1. You must move all constants to one side of the equation (one side of the equal sign) and away from 2x. To do so, you must do the inverse operation, which would be subtraction in this case because 3 is a positive number. (Inverse of addition is subtraction, Inverse of subtraction is addition, Inverse of multiplication is division, and inverse of division is multiplication) If you squish a constant and variable together (2x) it means multiplication.
  2. What you must do to one side, you must do to the other. So, since you subtracted 3 from the 3, you must subtract 3 from -7, too(subtracting from a negative is just addition- but you keep the negative sign). Once this is done, your equation will be 2x=-10
  3. Now, you must do the inverse operation to 2x to separate the 2. The inverse operation will be division. So, you divide both sides by 2. 2x divided by 2 will give you x. -10 divided by 2 will give you -5. (When you divided negative and positive numbers, the signs are different, meaning it's negative. If they had the same sign, it would be positive.)
  4. Therefore, your answer is x= -5

Hope I helped! :)

Sorry about the whole dang essay lol

3 0
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Which of the following is the graph of y = 3x2 + 6?
natali 33 [55]

Answer:

what are the graphs?

Step-by-step explanation:

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