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Leni [432]
3 years ago
8

Which function is increasing?? :)

Mathematics
1 answer:
exis [7]3 years ago
7 0

Answer:

\large\boxed{B.\ f(x)=4^x}

Step-by-step explanation:

Exponential function f(x)=(a)^x is

increasing if a > 1\to a\in(1,\ \infty)

decreasing if 0 < a < 1\to a\in(0,\ 1)

A.\ f(x)=\left(\dfrac{1}{4}\right)^x\to a=\dfrac{1}{4}\in(0,\ 1)\to\text{decreasing}\\\\B.\ f(x)=4^x\to a=4\in(1,\ \infty)\to\text{increasing}\\\\C.\ f(x)=(0.4)^x\to a=0.4\in(0,\ 1)\to\text{decreasing}\\\\D.\ f(x)=\left(\dfrac{1}{2}\right)^x\to a=\dfrac{1}{2}\in(0,\ 1)\to\text{decreasing}

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Mrs brown used 3 3/4 liters of water to completely fill 3 water bottles.If each water bottle holds the same amount, how many lit
Svetradugi [14.3K]

Answer:

Each bottle could hold \frac{5}{4}\ liters of water.

Step-by-step explanation:

Given:

Total amount of water = 3\frac{3}{4}\ liters

Now 3\frac{3}{4}\ liters can be rewritten as \frac{15}{4}\ liters.

Total amount of water = \frac{15}{4}\ liters.

Total number of water bottles = 3

We need to find amount of water in each bottle.

Solution:

Now we can say that;

amount of water in each bottle can be calculated by dividing Total amount of water from Total number of water bottles.

framing in equation form we get;

amount of water in each bottle = \frac{\frac{15}{4}}{3}= \frac{15}{4\times3}=\frac{5}{4}\ liters

Hence Each bottle could hold \frac{5}{4}\ liters of water.

4 0
3 years ago
How many solutions?<br> 2x + 6 = 3(x + 2) - x
Serjik [45]

Answer:

2x = 2x

Step-by-step explanation:

2x + 6 = 3x + 6 - x

2x = 3x - x(cancel equal terms)

2x=2x

6 0
3 years ago
A number that is 42% less than c.
faust18 [17]

Answer:

.58c

Step-by-step explanation:

Find 42% of c

.42c

Then subtract that from c

c - .42c

.58c

.58c is 42% less than c

7 0
3 years ago
Pls help!!!! <br>Evaluate the permutations <br><br><br>1. 6P2<br><br>2. 7P4<br><br>3. 8P3<br><br>​
Gnom [1K]

Answer:

5p9

Step-by-step explanation:

4 0
3 years ago
Solve for b.<br> r = (b-5)m
alukav5142 [94]

Answer:

b=5m+r/m

Step-by-step explanation:

Let's solve for b.

r=(b−5)(m)

Step 1: Flip the equation.

bm−5m=r

Step 2: Add 5m to both sides.

bm−5m+5m=r+5m

bm=5m+r

Step 3: Divide both sides by m.

bm/m=5m+r/m

b=5m+r/m

Answer:

b=5m+r/m

6 0
3 years ago
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