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3 years ago

Which situations can be represented by an exponential function?

Mathematics

1 answer:

gtnhenbr [62]3 years ago

3 0

9514 1404 393

Answer:

(a) subscriptions

Step-by-step explanation:

Exponential functions are used to describe situations where the amount of change is proportional to the amount.

If the amount of change is a constant, then the function is linear.

A. video subscribers change by an amount proportional to their number, so is an exponential function.

B. the change in number of bricks in a row is a constant, so the function is a linear function.

C. The amount of change is proportional to the value, so the function is an exponential function.

D. The change in patient count is a constant, so the function is a linear function.

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Stephen and Rocco were playing video games Stephen scored 2,500 points which is 5 time's as many points as Rocco scored how many

pantera1 [17]

Answer:

500 points

Step-by-step explanation:

Rocco scored 1/5 as many points as Stephen, so scored ...

(1/5) × (2500 points) = 500 points

Rocco scored 500 points.

6 0

3 years ago

Write the equation of a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2(sqrt5)

Xelga [282]

Answer:

$\frac{x^2}{16}-\frac{b^2}{4}=1$

Step-by-step explanation:

A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.

The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:

$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$

The coordinates of the foci is at (±c, 0), where c² = a² + b²

Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:

$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\\\frac{4^2}{a^2}-\frac{0}{b^2} =1\\\frac{4^2}{a^2}=1\\ a^2=16\\a=\sqrt{16}=4\\ a=4$

The foci c is at +/-2√5, using c² = a² + b²:

$c^2=a^2+b^2\\(2\sqrt{5} )^2=4^2+b^2\\20 = 16 + b^2\\b^2=20-16\\b^2=4\\b=\sqrt{4}=2\\ b=2$

Substituting the value of a and b to get the equation of the hyperbola:

$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\\\\\frac{x^2}{16}-\frac{b^2}{4}=1$

5 0

3 years ago

Mrs. terrance has a large bin of 236 crayons. She divides them equally among four containers.

leva [86]

236 / 4=59 hoped this helped

6 0

2 years ago

To make a small vase, Elisa uses no more than 4.5 ounces of clay. To make a large vase, she uses at least 12 ounces of clay. Whi

Marat540 [252]

Let c be the ounces of clay that Elisa used. For small vases, the value of c should be less than or equal to 4.5 which can mathematically be expressed as c ≤ 4.5. For large vases, the value of c should be greater than or equal to 12, c ≥ 12. Thus, the answer to this item is letter D.

8 0

3 years ago

Read 2 more answers

10. The ratio of the measures of the sides of a

Tomtit [17]

Answer:

Step-by-step explanation:

10x+15x+6x=217

31x=217

217/31=7

6x7=42

4 0

3 years ago