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2 years ago

State all integer values of x in the interval [2,8] that satisfy the following inequality: 5x+ 4 > 19

Mathematics

1 answer:

Pepsi [2]2 years ago

8 0

The following integer values of x satisfy the given inequality,

4, 5, 6, 7, 8

What is an inequality?

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made using inequality.

Solving the Inequality

The given inequality is,

5x + 4 > 19

5x > 19 - 4

5x > 15

x > 15/5

x > 3

So, the required values of x must be greater than 3 in the given interval, [2,8]

Thus, the integer values of x in the the interval [2,8] that satisfy the given inequality are 4, 5, 6, 7 and 8 (∵ Square brackets of an interval denote inclusion of the terminal values).

Learn more about inequality here:

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Fred the ant is on the real number line, and Fred is trying to get to the point $0.$

Pavlova-9 [17]

Complete question is;

Fred the ant is on the real number line, and Fred is trying to get to the point 0

If Fred is at 1 then on the next step, Fred moves to either 0 or 2 with equal probability. If Fred is at 2 then on the next step, Fred always moves to 1

Let e1 be expected number of steps Fred takes to get to 0 given that Fred starts at the point 1. Similarly, let e2 be expected number of steps Fred takes to get to 0 given that Fred starts at the point 2

Determine the ordered pair (e1, e2)

Answer:

(e_1,e_2) = (2,3)

Step-by-step explanation:

We can track the probabilities using the scenario that Ant gets to 0 after 1 steps, 2 steps, 3 steps, 4 steps, 5 steps and so on.

This gives us e_1 = 1(1/2^(1)) + 2(1/2²) + 3(1/2³) + 4(1/2⁴) + ...

By arithmetico-geometric series, which is given by;

S_(∞) = [a/(1 - r)] + dr/(1 - r)²

From the online calculator, i got;

e_1 = 2

Similarly, e_2 = 2(1/2^(1)) + 3(1/2²) + 4(1/2³) + 5(1/2⁴) + ...

By arithmetico-geometric series, e_2 = 3,

Thus, (e_1,e_2) = (2,3).

6 0

3 years ago

Find the slope-intercept form of the equation of the line that has the given properties (m is the slope). passes through (2, 2);

Mkey [24]

Y = -1x+b
replace x and y to find b
2 = -1*2+ b
b = 4

Final:
y = -1x + 4

7 0

3 years ago

12x+7<−11 OR 5x−8>40<br> solve for x

kipiarov [429]

Answer:

x < -1.5 U x > 9.6

Step-by-step explanation:

12x + 7 < -11

x < -1.5

5x - 8 > 40

5x > 48

x > 9.6

6 0

3 years ago

Read 2 more answers

Please everything that I put on this app no one has answered I’m just wasting points now

zloy xaker [14]

Answer:

QR=18

Step-by-step explanation:

QR/QO =QS/QP (proportionality theorem...OP||RS )

QR/39 =24/52

52QR = 24(39)

52Q2=936

QR=18

3 0

3 years ago

PWEASE HELP ASAP my friends and I cant figure this out I'm hoping one of u guys can

Degger [83]

The number of viruses was 4000 times greater than number of protozoa.

Step-by-step explanation:

Given,

Number of protozoa = $5*10^5$

Number of viruses = $2*10^9$

Let,

x be the number of times number of viruses is greater than number of protozoa.

Number of viruses = Number of time * Number of protozoa

$2*10^9=(5*10^5)x$

Dividing both sides by $5*10^5$

$\frac{2*10^9}{5*10^5}=\frac{(5*10^5)x}{5*10^5}\\\\4*10^3= x\\x=4*10^3 \\x=4000$

The number of viruses was 4000 times greater than number of protozoa.

Keywords: division, scientific notation

Learn more about division at:

#LearnwithBrainly

3 0

3 years ago