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Svetllana [295]
3 years ago
10

Which function is increasing?

Mathematics
1 answer:
egoroff_w [7]3 years ago
5 0

Answer:

f(x)=5^x,  which is the third function listed among the possible answers.

Step-by-step explanation:

Notice that these are all exponential functions, that contain just "x" in the exponent, and one "1' as the accompanying coefficient. So, in order to decide which ones are increasing, we need to study the base of the expression with exponent "x".

If the base is a number smaller than one, the function is decreasing.

If the base is a number larger than one, the exponential function is increasing.

Therefore, the only one that shows a larger than one base is the third one :

f(x)=5^x

which is therefore the only increasing function of the group.

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When Cullen cleaned behind his dresser, he found 73 cents, all in nickels and pennies. There were 25 coins. How many were nickel
Georgia [21]
Let n = number of nickels, and p = number of pennies.
The number of coins is 25, so we get this equation.
n + p = 25

The value of the coins is 0.05 per nickel, and 0.01 per penny.
0.05n + 0.01p = 0.73

Now you have a system of equations.

n + p = 25
0.05n + 0.01p = 0.73

Solve the first equation for n:
n = 25 - p

Now substitute into the second equation.

0.05(25 - p) + 0.01p = 0.73

1.25 - 0.05p + 0.01p = 0.73

-0.04p = -0.52

p = 13

There were 13 pennies.
Now we substitute 13 for p in n + p = 25 to find out the number of nickels.

n + 13 = 25
n = 12

There are 13 pennies and 12 nickels.

Check: 13 pennies and 12 nickels does total 25 coins.
13 * 0.01 + 12 * 0.05 = 0.13 + 0.60 = 0.73
The value is $0.73.
Our answer is correct.
5 0
3 years ago
What is the range of the function y = -x2 + 1?<br> Y&lt;-1<br> Y&gt;-1<br> Y&lt;1<br> Y&gt;1
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Answer:

Y<1 I belive

Step-by-step explanation:

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The variable Z varies jointly with X and Y Z equals 36 when x equals two and Y equals 3 write the equation that relates the vari
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Answer:

Step-by-step explanation:

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4 0
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Round 5.456 to the nearest tenth of a mile.
Blababa [14]
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3 years ago
Given points (0,0) and (3,6), find the point which partitions the segment into 3:2.
sertanlavr [38]
Dividing a number by the ratio 3:2 means dividing into 3+2 = 5 parts

Let (0, 0) be (x₁, y₁) and (3, 6) be (x₂, y₂)

Find one part of the share for each axes, we do
\frac{x_1+x_2}{5} = \frac{0+3}{5}= \frac{3}{5} =0.6
\frac{y_1+y_2}{5}= \frac{0+6}{5}= \frac{6}{5}=1.2

Then multiplying the one part back into 3: 2, we have
for the x - axis ⇒ (3×0.6) : (2×0.6) = 1.8: 1.2
for the y - axis ⇒ (3×1.2) : (2×1.2) = 3.6: 2.4

The coordinate that divides the segment into 3 parts and 2 parts is (1.8, 3.6)

Correct answer: A



6 0
4 years ago
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