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4 years ago

4(x + 3) ≤ 0 or 1/4 x + 1 > 3

1 answer:

3 0

4(x + 3) ≤ 0 OR 1/4(x+ 1) > 3

4(x + 3) ≤ 0

Simplify.

4x + 12 ≤ 0

Subtract 12 from both sides.

4x ≤ -12

Divide both sides by 4.

x ≤ - 3

1/4(x + 1) > 3

Simplify.

1/4x + 1/4 > 3

Subtract 1/4 from both sides.

1/4x > 3 - 1/4

Simplify.

1/4x > 2 3/4

Multiply both sides by 4.

x > 11/4 × 4

Simplify.

x > 11

So, our first equation had x ≤ -3 and our second equation had x > 11

Which one is greater?

x > 11 is greater

~Hope I helped!~

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There are 7800 grams of lodine that have a half-life of 8 days. How much lodine will remain after 40 days?

anygoal [31]

Given that we know the initial mass of Iodine and its half-life, we want to see how much will remain after 40 days.

After 40 days, 244.17 grams of Iodine will remain.

<h3 /><h3>The half-life of materials and how to use it:</h3>

The half-life of a material is the time it takes for that amount of material to reduce to its half.

We can model the amount of Iodine as:

A(t) = A*e^{k*t}

Where A is the initial amount, in this case, 7800g.
k is a constant that depends on the half-life.
t is the time in days.

Replacing what we know, we get:

A(t) = 7800g*e^{k*t}

Now we use the fact that the half-life is 8 days, this means that:

e^{k*8} = 1/2

ln(e^{k*8}) = ln(1/2)

k*8 = ln(1/2)

k = ln(1/2)/8 = -0.0866

Then the function is:

A(t) = 7800g*e^{-0.0866*t}

So now we just need to evaluate this in t = 40.

A(40) = 7800g*e^{-0.0866*40} = 244.17g

So, after 40 days, 244.17 grams of Iodine will remain.

If you want to learn more about half-life and decays, you can read:

brainly.com/question/11152793

3 0

3 years ago

-2(2x+3)=-(x+1)-2 whats x

AysviL [449]

Answer:

x=-1

Step-by-step explanation:

4 0

4 years ago

Trinity collects rainwater in a cylinder rain barrel. The area of the base of the

Fittoniya [83]

Answer:

suggestions use algebra calculator or mathaway they will help u and give you the answer

8 0

3 years ago

What is the solution to the equation below? Round your answer to two decimal places? (apex) 5+8*In x=15.8

Sliva [168]

Option A : $x=3.86$ is the solution of the equation.

Explanation:

The equation is $5+8 \ln x=15.8$

To determine the value of x, let us simplify the equation.

Subtracting 5 from both sides of the equation, we have,

$5+\ 8 \ ln \ x-5=15.8-5$

Simplifying, we get,

$8 \ ln \ x= 10.8$

Now , dividing both sides of the equation by 8, we get,

$\ ln \ x=1.35$

Using the logarithmic definition that if $\log _{a}(b)=c$ then $b=a^{c}$

Thus, rewriting the above expression $\ ln \ x=1.35$ using the logarithmic definition, we have,

$\ln \ x =1.35$ ⇒ $x=e^{1.35}$

Substituting the value of $e^{1.35}$=3.85742...$ , we get,

$x=3.85742 \ldots$

Rounding off the answer to two decimal places, we get,

$x=3.86$

Hence, the solution of the equation is $x=3.86$

Therefore, Option A is the correct answer.

8 0

3 years ago

victor has the map scale missing.he knows the distance from the lake to the youth center is 8 miles. on the map they are 2in. ap

kupik [55]

The <u>correct scale</u> is 1 in = 4 mi.

<u>Explanation</u>:

The scale tells us what a given measurement on the map equals in real-life distance.

The measurement on the map that we have is 2 inches, and it equals 8 miles:

2 in = 8 mi

This can also be written as 2/8. This fraction can be simplified, since both 2 and 8 are divisible by 2; it will simplify to 1/4. This is the same as
1 in = 4 mi.

6 0

4 years ago

Read 2 more answers