Find the solution set of the equation 8x₁ +2x-₂-5x₃+6x₄ = 1___

Answers

Answer 1
Answer:

To find the solution set of the equation 8x₁ + 2x₂ - 5x₃ + 6x₄ = 1, we need more information. The equation has four variables (x₁, x₂, x₃, and x₄), but only one equation. In order to find a unique solution, we need as many equations as there are variables. Without additional equations, we cannot determine a specific solution set for the given equation.

Please provide more equations or constraints to help narrow down the solution set.  


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Write a rule for the linear function in the table. x f(x) –3 –1 0 2 3 5 6 8 A. f(x) = x + 2 B. f(x) = 3x C. f(x) = x – 2 D. f(x) = x – 1
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The slope of the line below is -5 which of the following is the point slope form of the line

List the intervals on which f is increasing.

Answers

Answer:

-7<x<7

Step-by-step explanation:

James works as a waiter. He served meals with bills of $23.59, $40.65, $30.50, and $15.68. If his total for tips was $17.67, what percent tip did he receive for serving these meals? Round your answer to the nearest percent?

Answers

Total tips: $17.67

Total meals: 23.50 + 40.65 + 30.50 + 15.68 = $110.42


Percentage = (total.tips)/(total.meals) = (17.65)/(110.42) = 0.159844...=about 16%

Final answer:

James received an average tip of 16% for the meals he served, calculated by dividing his total tips by his total bill amount and multiplying by 100.

Explanation:

To solve this problem, we first need to find the total amount of bills that James served, which is $23.59 + $40.65 + $30.50 + $15.68 = $110.42. James received a total of $17.67 in tips. The percentage of tips James received can be calculated by dividing the total amount of tips by the total amount of bills he served and then multiplying that result by 100 to get the percentage. So, the calculation would look like this:

($17.67 / $110.42) × 100 = 16.01%

Rounding to the nearest percent, James received an average of 16% tip for serving these meals.

Learn more about Percentage Calculation here:

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One of the Great Pyramids in Egypt has the shape of a square pyramid with the base length of 20 feet, and the height of 150 feet tall. If the stones that were used to build the pyramid had a volume of 40 cubic feet each, how many stones did the Egyptians need to build the pyramid?

Answers

Answer:

500

Step-by-step explanation:

Given that:

Shape of one of the Great Pyramids in Egypt is a square pyramid.

Base of pyramid is of square shape with length = 20 feet

Height of pyramid = 150 feet

Volume of each stone used for the construction of the pyramid = 40 cubic feet

To find:

Number of stones used for the construction of the pyramid.

Solution:

First, we need to find the volume of the square pyramid and then we need to divide the volume of pyramid with the volume of one stone used for the construction.

It will give us the number of stones used for the construction of pyramid.

Volume of a pyramid is given as:

V = (1)/(3)* \text{Area of base}* Height

Here, base is a square, so area of base = (Side)^2

V = (1)/(3)* 20^2* 150 = 400* 50 ft^3

Number of stones of 40 cubic feet each, required = (400* 50)/(40) = 500

Two equations are given below:a – 3b = 4
a = b – 2

What is the solution to the set of equations in the form (a, b)? (5 points)


(–2, –2)
(–3, –1)
(–9, –7)
(–5, –3)

Answers

a - 3b = 4
a = b -2

(b - 2) - 3b = 4
b - 2 - 3b = 4
-2b = 4 + 2
-2b = 6
b = 6/-2
b = -3

a = b - 2
a = -3 -2
a = -5

to check: a = -5 ; b = -3  
(-5,-3)
a - 3b = 4
-5 - 3(-3) = 4
-5 + 9 = 4
4 = 4

Plz help ASAP anyone...A triangle has vertices P(1, 3), Q(3, 5), and R(6, 2).
The slope of the median to QR is
a. 1/7
b -1/2
c. 1

Answers

The answer is a. 1/7
The length of QR is 3 sqrt(2) which means half of that is where the median intersects. Since the triangle formed is a right triangle with legs that are equal. The vertex angles are 45°, we can get the coordinates of the point of intersection which is (4.5,3.5).
So, 
m (slope) = (3.5-3)/(4.5-1) = 1/7

Answer:

1/7

Step-by-step explanation:

The directed line segment from L to N has endpoints L(–6, 2) and N(5, –3). What are the x- and y-coordinates of point M, which partitions the directed line segment into the ratio 2:5?

Answers

Answer:

ANSWER

x =  { - 20}{7}

y={ 4}{7}

Step-by-step explanation:

Answer:

the answer is -6, 2

Step-by-step explanation:

Answer:

the answer is -6, 2

Step-by-step explanation: