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3 years ago

Solve this system by substitution. Y=-8x-23 Y=-5x-14

2 answers:

7 0

$set\ them\ equal\ to\ each\ other \\ -8x-23=-5x-14 \\ -3x-23=-14 \\ -3x=9 \\ x= \frac{9}{-3} \\ x=-3 \\ \\ plug\ in\ OG\ equation \\ y=-8x-23 \\ y=-8(-3)-23 \\ y=24-23 \\ y=1 \\ \\ \boxed {(-3,1)}$

cupoosta [38]3 years ago

3 0

Y = -8x - 23
y = -5x - 14
2y = -13x - 37
2y = -13x - 37
2 2
y = 6 1/2x - 18 1/2
6 1/2x - 18 1/2 = -5x - 14
 +5x +5x 
11 1/2x - 18 1/2 = -14
 +18 +18
 11 1/2x = 4
 11 1/2x = 4 
 11 1/2 11 1/2
 x = 8/23
y = -5(8/23) - 14
y = -1 17/23 - 14
y= -15 17/23
(x, y) = (8/23, -15 17/23)

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Hareem takes a medicine to control his blood pressure. he takes a 25 mg pill in the morning. suppose that 60% of the medicine is

Vikentia [17]

The recursive definition for the amount of the blood pressure medicine in hareem bloodstream after n hours would be $a_1=25, a_n = 0.60_{n-1} +25$

Hence, option B is correct.

<h3>What is the recursive rule?</h3>

A rule is defined such that its definition includes itself.

Example:

F(x) = F(x-1) + c

is one such recursive rule.

Hareem takes medicine to control his blood pressure.

he takes a 25 mg pill in the morning.

Suppose that 60% of the medicine is processed by hareem's body by the time he takes a second 25 mg pill in the evening.

So, the recursive definition for the amount of the blood pressure medicine in hareem bloodstream after n hours would be;

$a_1=25, a_n = 0.60_{n-1} +25$

Hence, option B is correct.

Learn more about the recursive rule here:

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2 years ago

What is the area of the triangle shown below?

Nimfa-mama [501]

Answer:

300 mm squared

Step-by-step explanation:

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3 years ago

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An employee was randomly chosen from a company. If the expected value of the age of the employee is _____ years old, the mean ag

Vinil7 [7]

This employee who was randomly chosen represents the population of the company. This means that, any parameter measured through this employee can be considered as the mean or average value for the whole population (the company).

Based on this, taking the age of the employee as the desired parameter, the age of this employee will be considered as the average or mean age for the whole company. This means that the age of the employee and the mean age of all employees are equal.

Therefore, the answer is C) 32, 32
An employee was randomly chosen from a company. If the expected value of the age of the employee is 32 years old, the mean age of all the employees in the company is 32 years old.

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3 years ago

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Determine if the events A and B are independent. Show all steps.

zmey [24]

Answer:

$P(A U B ) = \frac{13}{25}$

Step-by-step explanation:

STEP:-1

Given that events A and B are independent then

P(A ∩B ) = P(A) P(B)

Given that P(A) = 2/5 and P(B) = 1/5

STEP:- 2

P(A ∩B ) = P(A) P(B)

$P(A U B) = P(A) +P(B) - P(A n B )$

$P(A U B ) = P(A) +P(B) - P(A) P(B)$

Step(iii):-

$P(A U B ) = \frac{2}{5} +\frac{1}{5} - \frac{2}{5} X \frac{1}{5}$

$P(A U B ) = \frac{3}{5} - \frac{2}{5} X \frac{1}{5}$

$P(A U B ) = \frac{3}{5} - \frac{2}{25}$

$P(A U B ) = \frac{15-2}{25} = \frac{13}{25}$

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3 years ago

If you travel 4 miles around a circle with a radius of 1 mile, what is the central angle (q)?

mixer [17]

Answer:

229.18 degrees

Step-by-step explanation:

The circumference of a circle with radius r is 2×pi×r.

So if it has a radius of 1 mile, then the circumference is 2×pi×1=2pi miles.

So if we travel 4 miles, then the percentage of this circle we traveled is 4/(2pi)=63.66% approximately.

There are 360 degrees in a circle and we want to how much of that rotation belongs to traveling 4 miles of the circumference of a circle that measures 2pi miles. So 63.66%×360 degrees =229.18 degrees.

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3 years ago