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3 years ago

Why is b ≠ 1 a condition for f(x) = abx (x is a exponent i cant put it for some reason)?

Mathematics

1 answer:

timurjin [86]3 years ago

7 0

Answer:

1^x = 1

Step-by-step explanation:

If b = 1,

It will be a horizontal line:

y = a

Not an exponential curve

Because

y = a(1^x)

1 power anything is 1

y = a × 1

y = a

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Convert 5.4 ⋅ 103 to standard form. 0.0054 0.00054 5,400 54,000

KATRIN_1 [288]

54*10 to the 3rd power equals 5'400

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3 years ago

Which Graph Represents A function ?<br><br> NEED ANSWER ASAP !!!!

ANEK [815]

Answer:

The very last one is a function

Step-by-step explanation:

The last one is a function because there are no y values that repeat. For example, If the points on one graph are like this; (1, 3) (2, 3); then it cannot be a function, the y values cannot repeat if it is a function.

To make things easier, just try to imagine vertical drawing lines through each point in every graph, if this imaginary vertical line passes more than one point in any graph, then that graph is not a function.

I hope this helps!! :D

7 0

2 years ago

Read 2 more answers

Lia must work at least 5 hours per week in her family's restaurant for $8 per hour. She also does yard work for $12 per hour. Li

agasfer [191]

Answer:

Step-by-step explanation:

let r= number of hours worked at the restaurant

y=number of work hours in the yard

Maximum number of work per week=r+y ≤ 15

Lia must work at least 5 hours in the restaurant

x ≥ 5

Lia wants to earn at least $120 $8/hr in the restaurant and $12/hr in the yard:

8r + 12y ≥ 120

What is the maximum of hours Lia can work in the restaurant and still make at least 120 hours?

Assume Lia worked all 15 hours in the restaurant

she would earn $8*15hours = $120.

The maximum number of hours she can work in the restaurant is therefore 15 hours

What is the maximum amount of money Lia can earn in a week?

Lia has to work a minimum of 5 hours in the restaurant. She earns more from yard work, so she should devote the rest of her available work hours to yard work.

That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard.

5r+10y

5*8 + 10*12

= 40 + 120

= $160

6 0

2 years ago

Andrew and his father are scuba diving at -38 feet and tackle box Canyon has an elevation of -83 feet right and inequality to co

zepelin [54]

-38 > -83
Where Andrew and his father are scuba diving has a higher elevation than tackle box Canyon.

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3 years ago

Read 2 more answers

What is the scale factor of two similar pyramids with volume of 13824 cubic feel and 216 cubic feet?

velikii [3]

Answer: The scale factor is 4

Step-by-step explanation:

We know that the pyramids are similar. The volume of one of these pyramids is 13,824 cubic feet and the volume of the other one is 216 cubic feet. Then:

$V_1=13,824ft^3\\V_2=216ft^3$

By Similar solids theorem, if two similar solids have a scale factor of $\frac{a}{b}$ , then corresponding volumes have a ratio of $\frac{a^3}{b^3}$

Then:

$\frac{V_1}{V_2}=\frac{a^3}{b^3}$

Knowing this, we can find the scale factor. This is:

$\frac{13,824}{216}=\frac{a^3}{b^3}\\\\\frac{13,824}{216}=(\frac{a}{b})^3\\\\\frac{a}{b}=\sqrt[3]{\frac{13,824}{216}}\\\\scale\ factor=\frac{a}{b}=4$

3 0

3 years ago