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2 years ago

Solve the inequality. Graph the solution

Mathematics

2 answers:

I am Lyosha [343]2 years ago

6 0

Answer: t≥−12

Step-by-step explanation: 4≥−t/3

4≥−1/3t

(3/−1)(−1/3t)≤(3/−1)(4)

t≥−12

Evgen [1.6K]2 years ago

3 0

Answer:

t ≥ -12

Step-by-step explanation:

4 ≥ -t/3 Original Equation

4 (3) ≥ -t/3 (3) Cancel out the division

12 ≥ -t

12 (-1) ≥ -t (-1) Canceling Negative on the variable, Flipping over Inequality Sign

t ≥ -12

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4(2-4x)-3x=65 Whats the answer and how did you solve it?

IRINA_888 [86]

Answer:

x= -3

Step-by-step explanation:

Distribute 4(2-4x) which leaves you with 8-16x-3x=65

combine the like terms which leaves you with 8-19x=65

subtract 8 from both sides 8-19x-8=65-8 which leaves you with -19x=57

lastly divide -19 from both sides which leaves you with x= -3

3 0

3 years ago

Write -12 in the improper fraction form.

nydimaria [60]

Answer:

$\frac{-12}{1}$

Step-by-step explanation:

An Improper Fraction has a top number larger than (or equal to) the bottom number.

To convert a whole number -12 into an improper fraction we can divide the whole number by one to turn it into a temporary fraction.

$\frac{-12}{1}$

Also we could multiply and divide -12 by another number greater than one, for example:

$\frac{-12*2}{1*2} = \frac{-24}{2}$

There are several ways we can write -12 in the improper fraction form.

6 0

3 years ago

The city of Anvil is currently home to 21000 people, and the population has been growing at a continuous rate of 4% per year. Th

Yanka [14]

Answer:

They'll reach the same population in approximately 113.24 years.

Step-by-step explanation:

Since both population grows at an exponential rate, then their population over the years can be found as:

$\text{population}(t) = \text{population}(0)*(1 + \frac{r}{100})^t$

For the city of Anvil:

$\text{population anvil}(t) = 21000*(1.04)^t$

For the city of Brinker:

$\text{population brinker}(t) = 7000*(1.05)^t$

We need to find the value of "t" that satisfies:

$\text{population brinker}(t) = \text{population anvil}(t)\\21000*(1.04)^t = 7000*(1.05)^t\\ln[21000*(1.04)^t] = ln[7000*(1.05)^t]\\ln(21000) + t*ln(1.04) = ln(7000) + t*ln(1.05)\\9.952 + t*0.039 = 8.8536 + t*0.0487\\t*0.0487 - t*0.039 = 9.952 - 8.8536\\t*0.0097 = 1.0984\\t = \frac{1.0984}{0.0097}\\t = 113.24$