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3 years ago

Solve the following equation. Then place the correct number in the box provided. 2x - 1 ≤ x + 5

Mathematics

1 answer:

adell [148]3 years ago

8 0

Answer:

The solution for the inequality is $x \leq 6$ .

Step-by-step explanation:

Consider the provided inequality.

$2x - 1 \leq x + 5$

Subtract x from both the sides.

$2x -x- 1 \leq x-x + 5$

$x- 1 \leq 5$

Add 1 to both the sides.

$x- 1+1 \leq 5+1$

$x \leq 6$

Hence the solution for the inequality is $x \leq 6$ .

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Suppose the population of a town was 40,000 on January 1, 2010 and was 50,000 on January 1, 2015. Let P(t) be the population of

Lorico [155]

Answer:

Given,

The initial population ( on 2010 ) = 40,000,

Let r be the rate of increasing population per year,

Thus, the function that shows the population after t years,

$P(x)=40000(1+r)^t$

And, the population after 5 years ( on 2015 ) is,

$P(5)=40000(1+r)^{5}$

According to the question,

P(5) = 50,000,

$\implies 40000(1+r)^5=50000$

$(1+r)^5=\frac{50000}{40000}=1.25$

$r + 1= 1.04563955259$

$\implies r = 0.04653955259\approx 0.04654$

So, the population is increasing the with rate of 0.04654,

And, the population after t years would be,

$P(t)=40000(1+0.04654)^t$

$\implies 40000(1.04654)^t$

Since, the exponential function is,

$f(x) = ab^x$

Hence, by comparing,

a = 40000,

b = 1.04654

6 0

4 years ago

((((40 - -30) x (20 +15 - -2))+14)/2)-40<br><br><br> 100 points pls help

Aleks04 [339]

Step-by-step explanation:

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3 years ago

3/5x 2/7x 5/12 whats the Answer I've tried everything I still don't understand

pantera1 [17]

Answer:

30/420 or 1/14

Step-by-step explanation:

3*2*7/5*7*12= 30/420 simplify the you get 1/14

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3 years ago

E and F are mutually exclusive events. P(E)=0.3; P(F) =0.2. Find P(E | F)

Arada [10]

Answer:

Step-by-step explanation:

P(E|F) = P(E and F)/P(F) = 0/0.2

Events that are mutually exclusive exclude each other. That means if one

occurs, the other is excluded. That means if one occurs, the other cannot

occur.

So that tells us that the probability of them both happening is impossible,

which mean P(E and F) = 0

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4 years ago

The table contains data on the number of people visiting a historical landmark over a period of one week.DayVisitors134586124413

Andreas93 [3]

Step 1

Given; The table below

Required;

Step 2

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

If the graph has a negative value for a then it will look like that seen below;

This graph is from the table

The answer thus will be;

5 0

1 year ago