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2 years ago

How do you solve -4+3x</= -12 +5x? inequalities

1 answer:

6 0

You were trying to write -4+3x≤12+5x

remember, you can do anything to an equaiton as long as you do it to both sides

-4+3x≤-12+5x
minus 3x both sides
-4≤-12+2x
add 12 to both sides
8≤2x
divide both sides by 2
4≤x
x≥4
x≥7.5

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Last year the company you work for did 232,000 in business. This year you anticipate an increase of 7% how much business do you

Nataly_w [17]

7% of 232,000 is 16,240
232,000 + 16,240 is 248,240
so 248,240 is the answer

3 0

2 years ago

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Can someone explain to me this derivative : y=3x√x

dimaraw [331]

Answer:

(9/2)√x.

Step-by-step explanation:

Convert the radical to an exponent.

x√x = x^1 * x^1/2

= x^(1 + 1/2)

= x^3/2

So the derivative of 3x^3/2 is found as follows:

y' = 3 * 3/2x^(3/2 - 1)

= (9/2)x^1/2

= (9/2)√x.

6 0

2 years ago

The population of deer forest is currently 800 individuals. Scientists predict that this population will grow at a rate of 20 pe

jonny [76]

Answer:

<em>C. 3.8 years</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

$P(t)=P_o(1+r)^t$

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The actual population of deer in a forest is Po=800 individuals. It's been predicted the population will grow at a rate of 20% per year (r=0.2).

We have enough information to write the exponential model:

$P(t)=800(1+0.2)^t$

$P(t)=800(1.2)^t$

It's required to find the number of years required for the population of deers to double, that is, P = 2*Po = 1600. We need to solve for t:

$800(1.2)^t=1600$

Dividing by 800:

$(1.2)^t=1600/800=2$

Taking logarithms:

$t\log 1.2=\log 2$

Dividing by log 1.2:

$t=\frac{\log 2}{ \log 1.2}$

Calculating:

t = 3.8 years

Answer: C. 3.8 years

6 0

2 years ago

A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 6 inches.

olga_2 [115]

PART A:
x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
y | 6 | 5.5 | 5 | 4.5 | 4 | 3.5 | 3 | 2.5 | 2 | 1.5 | 1 | 0.5 | 0 |

x=hours
y=candle length

PART B:
Yes it is a function because you can input the values

PART C:
Yes, it will still be a function but with a different different y value

5 0

2 years ago

Find the domain and range of f(x)=3^x

Margaret [11]

Answer:

Below in bold.

Step-by-step explanation:

x can have any real value - the domain is (-∞, ∞).

f(x) cannot be 0 or negative, no matter how negative x is, - the range is (0, ∞)

6 0

2 years ago

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