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charle [14.2K]
2 years ago
11

I would appreciate your help

Mathematics
1 answer:
Tpy6a [65]2 years ago
6 0

__________________________________________________________

\text{\textbf{Hello!} In this question, we are trying to figure out the \underline{equation} of the line}\\\text{with the given information.}
__________________________________________________________

\textbf{Explanation:}\\\quad{}\\\text{In the question, we were given our \emph{slope} (gradient) and a \emph{point}. This will help}\\\text{us solve our problem.}\quad{}\\\\\text{Slope: 2 }\\\\\text{Point: (1, 4)}\\\quad{}\\\text{In order to find the equation, we will be using the \underline{point-slope formula:}}\\\quad{}\\y - y1 = m(x - x1)\\\quad{}\\\text{With this equation, we would plug in our given values to its}\\\text{correct variable and solve.}
__________________________________________________________


\textbf{Solve:}\\\\\text{Use the point-slope formula to solve.}\\\\y - y1 = m(x - x1)\quad{}\\\\\text{Plug in 2 to m, 1 to x1, 4 to y1 and then solve.}\\\\y - 4 = 2(x - 1)\\\\\text{Use the \underline{distributive property} to distribute the 2.}\\\\y - 4 = 2x - 2\\\\\text{Add 4 to both sides to cancel the 4 on the left and move the remainder}\\\text{to the right side of the equal sign.}\\\\y = 2x + 2\\\\\text{Since we can't simplify any further, our answer is: \fbox{y = 2x + 2}}
__________________________________________________________

\textbf{Answer:}\\\\\text{Therefore, the equation of the line (our final answer) would be \fbox{y = 2x + 2}}
__________________________________________________________

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HELP!!!!! Find the number of solutions of the equation 5t2 + 3t − 7 = 0 by using the discriminant.
Charra [1.4K]

Answer:

Below in BOLD.

Step-by-step explanation:

1.  The discriminant D = b^2 - 4ac

= 3^2 - 4*5*(-7)

= 9 + 140

= 149.

Positive value so it has 2 real solutions.

2. D = (-12)^2 - 4 * 9 * 4

= 144 - 144

= 0.

So it has one real solution.

3.  D =  2^2 - 4*1*3

= -8.

It is negative so there are No real solutions.

4.  D = 4^2 - 4*2*10 = 16 - 80 = -64.

No solutions.

5. D = (-12)^2 - 4*3*(12)

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So its the second choice.

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Jeremy wants to give a 20% gratuity to his cab driver. His fare is $35.50. What is the total amount he will pay the driver?
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Step-by-step explanation:

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
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Answer:

a = 5.

Step-by-step explanation:

The graph here is a probability density graph. What will represent P(X\le a) on the graph?

P(X\le a) is the area

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The area under the graph between 0 and 9 is a trapezoid. Consider the trapezoid in three slices from left to right:

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The area of the leftmost triangle plus that of the rectangle is exactly 0.6. In other words, the area to the left of a = 5 between the graph and the x-axis is 0.6. P(X \le 5) = 0.6. a = 5.

As a side note a = 5 shall be the only answer to this question since the area under the graph to the left of a can only increase or stay constant but not decrease as the value of a increases.

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