All categories

3 years ago

Which of the following is an increasing exponential function whose y-intercept is 50?

1 answer:

8 0

Y=50(1.4)*

Equations 1,3,4 are exponential (the 2nd isn’t so it’s out)

Y intercept means x is set at 0 so start testing
For y=2*+50 when x=0 y=1+50=51
(Any number raised to a 0 exponent is 1)
For y=50(1.4)* y=50(1) so y=50 and that is what you are looking for

You might be interested in

On a scale drawing of Princeton, two landmarks are shown 2 centimeters apart. If the scale of the map is 1 centimeter : 35 kilom

tankabanditka [31]

Answer:

70 km

Step-by-step explanation:

2 cm is twice as much as 1 cm. So, the distance between landmarks will be twice as much as 35 km.

The actual distance is 70 km.

3 0

3 years ago

A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following

kiruha [24]

Answer:

After 47 days she will have more than 90 trillion pennies.

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

$1,2,4,8,16,32,.....$

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

$S_n=\dfrac{a(r^n-1)}{r-1}$

where,

a = initial term = 1,

r = common ratio = 2,

As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

$\Rightarrow 90\times 10^{12}\le \dfrac{1(2^n-1)}{2-1}$

$\Rightarrow 90\times 10^{12}\le \dfrac{2^n-1}{1}$

$\Rightarrow 90\times 10^{12}\le 2^n-1$

$\Rightarrow 2^n\ge 90\times 10^{12}+1$

$\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)$

$\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)$

$\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}$

$\Rightarrow n \ge 46.4$

$\Rightarrow n\approx 47$

8 0

3 years ago

Plz help me with this ASAP

VLD [36.1K]

Answer:

Step-by-step explanation:

plug all in

1) 0 when x=0

2) 1*6-1²=6-1=5

3) 6*2-2²=12-4=8

4)6*3-3²=18-9=9

5) 6*4-4²=24-16=8

6)6*5-5²=30-25=5

7) 6*6-6²=36-36=0

6 0

3 years ago

What’s the geometric mean of 3 square roots of 5 and 5 square roots of 5

navik [9.2K]

Answer:

5√3

Step-by-step explanation:

The geometric mean (GM) of two numbers x and y is the square root of their product.

Thus, the GM of x and y is √(xy).

The GM of 3√5 and 5√5

= √(3√5 × 5√5)

= √[3 × 5 × (√5)²]

= √(3 × 5 × 5)

= √(3 × 5²)

= 5√3

8 0

3 years ago

help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Sunny_sXe [5.5K]

So thi sis really simple since you have an equal sign so

(n/3)-(5n/6)=1/3
to subtract fractions, make the bottom number the same
n/3 times 2/2=2n/6
(2n/6)-(5n/6) or (2n-5n)/6 so
-3n/6=1/3
multiply both sides by 6
-3n=6/3=2
-3n=2
divide both sides by 3
-n=2/3
mmultiply boht by -1
n=-2/3
tada
n=-2/3

6 0

3 years ago

Read 2 more answers