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Nimfa-mama [501]
3 years ago
15

Given the function

Mathematics
1 answer:
Licemer1 [7]3 years ago
6 0
C) vertical translation down 6 units

and

d) reflection

the negative at the beginning shows there is a reflection, and the -6 as the k value means it’s moving down 6. hope this helps:))
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Two boys who live 14 miles apart start at noon to walk toward each other at rates of 3 mph and 4 mph respectively. In how many h
aniked [119]
Since you have the answers given, just track their walking.
After one hour, one guy has covered 3mi and the other 4mi, which is in total 7, not 14
After 2 hours, one guy has covered 6mi and the other 8mi, which is 14mi

The algebraic way would be:
3x +4x = 14 *x being the hour
7x = 14
x =2
6 0
3 years ago
Read 2 more answers
A ball is launched from a 682.276 meter tall platform. the equation for the ball's height h at time t seconds after launch is h(
blagie [28]

The maximum height the ball achieves before landing is 682.276 meters at t = 0.

<h3>What are maxima and minima?</h3>

Maxima and minima of a function are the extreme within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.

We have a function:

h(t) = -4.9t² + 682.276

Which represents the ball's height h at time t seconds.

To find the maximum height first find the first derivative of the function and equate it to zero

h'(t) = -9.8t = 0

t = 0

Find second derivative:

h''(t) = -9.8

At t = 0; h''(0) < 0 which means at t = 0 the function will be maximum.

Maximum height at t = 0:

h(0) = 682.276 meters

Thus, the maximum height the ball achieves before landing is 682.276 meters at t = 0.

Learn more about the maxima and minima here:

brainly.com/question/6422517

#SPJ1

4 0
1 year ago
Explain in easy terms, how the signs of the last terms of the two binomial factors of a trinomial are determined?
shutvik [7]

Explanation:

It helps to understand the process of multiplying the binomials. Consider the simple case ...

  (x +a)(x +b)

The product is ...

  (x +a)(x +b) = x² +(a+b)x + ab

If the <em>constant</em> term (ab) is <em>negative</em>, the signs of (a) and (b) are <em>different</em>.

If the constant term (ab) is <em>positive</em>, the signs of (a) and (b) will both match the sign of the coefficient of the linear term (a+b).

___

Of course, the sum (a+b) will have the sign of the (a) or (b) value with the largest magnitude, so when the signs of (a) and (b) are different, the factor with the largest magnitude will have the sign of (a+b), the x-coefficient.

<u>Example</u>:

  x² -x -6

 -6 tells you the factors will have different signs. -x tells you the one with the largest magnitude will be negative.

  -6 = -6×1 = -3×2 = ... (other factor pairs have a negative factor with a smaller magnitude)

 The sums of these factor pairs are -5 and -1. We want the factor pair that has a sum of -1, the coefficient of x in the trinomial.

  x² -x -6 = (x -3)(x +2)

5 0
3 years ago
An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Ro
krok68 [10]
Using the formula
L=rx  (x=angle)
x=L/r
x=8/3
x=2.6 radians
7 0
3 years ago
The nutritional chart on the side of a box of a cereal states that there are 96 calories in a three fourths 3 4 cup serving. How
uysha [10]
<span>The answer is 1008 calories </span>
6 0
3 years ago
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