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Mathematics

1 answer:

Ainat [17]2 years ago

4 0

Answer:

The relationship is that you make them into a fraction the 20 first then the other number. Then you reduce to get something like this 2/3. Then you multiply 3 by 20 to get 60= 2/60. then you do the same for the 2= 40/60. So that is how you do it. And to check my work, 2/5. 2/5• 12/12= 24/60

Step-by-step explanation:

If you were to go 30 mph, and you wanted to go 20 miles, they it will take you 40 minutes. 40 mph would take you 30 minutes. 50 mph would take you 24 minutes. The relationship is that you make them into a fraction

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Mazyrski [523]

Answer:

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1 year ago

Write the equation of the line parallel to<br> y=-2/3x+4 and through the point (–3, 15)

MrRa [10]

Parallel = same slope
y = -2/3x + b
Plug in point
15 = -2/3(-3) + b
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2 years ago

Read 2 more answers

Use these functions to answer the questions.

Elenna [48]

Part A
We have $f\left(x\right)=\left(x+3\right)^2-1$ . To solve for the x-intercept, we set f(x) equal to 0. That is
$\left(x+3\right)^2-1=0$

$\left(x+3\right)^2=1$

Take the square root of both sides,
$x+3=1$

$x=-2$

The x-intercept is (-2,0).

To solve for the y-intercept, we set x=0. That is
$y=\left(0+3\right)^2-1=3^2-1=9-1=8$

The y-intercept is (0, 8)

The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).

Part B.
We have $g\left(x\right)=-2x^2+8x+3$ .
Factor out -2
$=-2\left(x^2-4x\right)+3$

Complete the square
$=-2\left(x^2-4x+4\right)+3-2\left(4\right)$

Simplify
$g(x)=-2\left(x-2\right)^2-5$

Part C
We have $h\left(t\right)=-16t^2+28t$ .
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo.