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marishachu [46]
3 years ago
9

A line has an x-intercept of 4 and a y-intercept of -2 what is the equation of the line

Mathematics
1 answer:
jekas [21]3 years ago
4 0

Answer:

y=2x -1

Step-by-step explanation:

Finding x-intercepts and y-intercepts

1-To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y.

2-To find the x-intercept, set y = 0 \displaystyle y=0 y=0.

3-To find the y-intercept, set x = 0 \displaystyle x=0 x=0.

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A Ferris Wheel is built such that the height in feet above ground of a seat on the wheel at time t seconds can be modeled by h(t
MAVERICK [17]

Answer:

at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

Step-by-step explanation:

Data provided in the question:

height in feet above ground of a seat on the wheel at time t seconds is

modeled as

h(t) = 53 + 50\sin((\frac{\pi t}{16} - \frac{\pi}{2})

now,

at height 53 above the ground, we get the equation as:

53 = 53 + 50\sin(\frac{\pi t}{16} - \frac{\pi}{2})

or

50\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 53 - 53

or

\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

also,

sin(0) = 0

and,

sin(π) = 0

therefore,

(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

or

\frac{\pi t}{16} = \frac{\pi}{2}

or

t = 8 seconds

and,

(\frac{\pi t}{16} - \frac{\pi}{2}) = π

or

\frac{\pi t}{16}= \pi + \frac{\pi}{2}

or

\frac{\pi t}{16}= \frac{3\pi}{2}

or

t = 24 seconds

Hence,

the at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

7 0
3 years ago
PLEASE HELP If You Are not SURE please don't answer PLEASE show work and steps
Ivanshal [37]
63+12x<15
12x<-48 (subtract 63 from both sides)
x<-4 (divide out the 12)
8 0
3 years ago
Read 2 more answers
Which set of parametric equations represents the following function y=square root of x+3
Irina18 [472]
The given equation is:

y= \sqrt{x+3}

We have to find, which of the given set of parametric equations given in the options, result in the above equation:

The correct answer would be option A.

The equations in option A are:

x(t) = 5t \\ &#10;y(t)= \sqrt{5t+3}

From first equation we can see that 5t is equal to x. Using the value of 5th in second equation, we get the equation as:

y= \sqrt{x+3}

Therefore, the correct answer is option A
3 0
3 years ago
Find(f+g)(x) for the following functions. f(x) = 12x2 + 7x + 2 g(x) = 9x + 7
Nimfa-mama [501]

Answer:

(f + g)(x) = 12x² + 16x + 9 ⇒ 3rd answer

Step-by-step explanation:

* Lets explain how to solve the problem

- We can add and subtract two function by adding and subtracting their

 like terms

Ex: If f(x) = 2x + 3 and g(x) = 5 - 7x, then

     (f + g)(x) = 2x + 3 + 5 - 7x = 8 - 5x

     (f - g)(x) = 2x + 3 - (5 - 7x) = 2x + 3 - 5 + 7x = 9x - 2

* Lets solve the problem

∵ f(x) = 12x² + 7x + 2

∵ g(x) = 9x + 7

- To find (f + g)(x) add their like terms

∴ (f + g)(x) = (12x² + 7x + 2) + (9x + 7)

∵ 7x and 9x are like terms

∵ 2 and 7 are like terms

∴ (f + g)(x) = 12x² + (7x + 9x) + (2 + 7)

∴ (f + g)(x) = 12x² + 16x + 9

* (f + g)(x) = 12x² + 16x + 9

8 0
3 years ago
Read 2 more answers
PLZZZZZZZ NEED HELP!!!!!!
Maurinko [17]
I think it is $30 since it has the highest probability.
7 0
4 years ago
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