Answer:
d = 16
Step-by-step explanation:
18 = d+2
d = 18-2
d = 16
Select the correct answer in each column of the table. Solve the following equation. 3/x- x/x+6 = 18/x^2+6x Examine the given table, and select the accurate number of each type of solution,as well as any real solutions that exist.
The solutions to the equation are x = -3 and x = 0
How to determine the solution to the equationfrom the question, we have the following parameters that can be used in our computation:
3/x - x/(x + 6) = 18/(x² + 6x)
Multiply through by x² + 6x
So, we have
3(x + 6) + x² = 18
Open the brackets
3x + 18 + x² = 18
Evaluate
x² + 3x = 0
When solved for x, we have
x = -3 and x = 0
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I NEED HELP WITH THIS QUESTION!
The equation in vertex forms are;
a. f(x) = -5(x + 2)² - 3
b. f(x) = 1 + (x -1)² + 3
How to determine the equationsTo determine the equation in vertex form, we have to know that the equation is represented as;
f(x) = a(x – h)² + k
Such that the parameters of the formula are expressed as;
a, h, and k are constants of the parabola is at (h, k).
i. Then, for the first graph, we have;
vertex : (-2, -3)
Then, we have that;
a = -5
Then, we get;
f(x) = -5(x + 2)² - 3
ii. Vertex : (1, 3)
But a = 1
Then ,
f(x) = 1 + (x -1)² + 3
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Your answer should be an exact numerical whole number and do not use the percent symbol.
In a sample of 20 scores, the score 18 occurred 11 times. What is the relative frequency of the data value 18?
%
The relative frequency of the data value 18 is 55%.
To calculate the relative frequency of a data value, we divide the frequency of that value by the total number of scores in the sample and then multiply by 100 to express it as a percentage.
In this case, the frequency of the data value 18 is 11, and the total number of scores in the sample is 20.
Relative frequency of 18 = (Frequency of 18 / Total number of scores) * 100
= (11 / 20) * 100
= 55%
The data value 18 therefore has a relative frequency of 55%.
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5+3=10,7+4=35,10+2=45,8+6=?
Answer: 28
Step-by-step explanation:
y=x^2-2x-3
find x when y =1
Find the x of 2^(x+1) = e^(1-x)
The natural logarithm of both sides of the equation indicates that the value of x is about 0.181
What is a logarithm?A logarithm is an inverse of an exponential function, such that the logarithm of a number to a base is the exponent to which the base would be raised to obtain the number.
The equation can be presented as follows;
2⁽ˣ ⁺ ¹⁾ = e⁽¹⁻ˣ⁾
The natural logarithm of both sides of the equation indicates that we get;
ln(2⁽ˣ ⁺ ¹⁾) = ln(e⁽¹⁻ˣ⁾) = 1 - x
(x + 1) × ln(2) = 1 - x
x·ln(2) + x = 1 - ln(2)
x·(ln(2) + 1) = 1 - ln(2)
x = (1 - ln(2))/(ln(2) + 1) ≈ 0.181
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A right triangle has a leg length of √8 and a hypotenuse length of 5. Determine the length of the other leg of the right triangle
Answer is
.
Let the length of the other leg be x. According to the Pythagorean theorem the sum of the squares of the lengths of the two legs of a right triangle equals the square of the length of the hypotenuse.
Therefore we have the equation:
√8^2 + x^2 =5^2
Simplifying this equation we get:
8 + x^2 = 25
Subtracting 8 from both sides we get:
x^2 = 17
Taking the square root of both sides we find:
x = √17
So the length of the other leg of the right triangle is √17.
The following information was obtained from the accounting records of Letty Stores for the financial year ended 30 June 2021:
R
Inventory (1 July 2020)
100 000
Sales
600 000
Purchases
400 000
Sales returns
2 000
Purchases returns
3 000
Drawings: Bank
1 000
Inventory (30 June 2021)
120 000
Additional information:
1. On 29 June 2021, the owner took inventory with a cost price of R20 000 for own use. This transaction has not yet been recorded.
The entity uses the periodic inventory control system.
Required:
Use the information provided above to calculate the cost of sales for the year ended 30 June 2021.
Answer:
333234
Step-by-step explanation:
333234$ for the next 4 years and the ecvation is 69$+-2$
please help! i need to get this right or i fail and i have to repeat and i’ll get grounded ! please help me! i’ll
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On Saturday, the fruit and juice bar was selling 21 glasses of fruit punch an hour. By 5 p.m., they had sold 147 glasses. If their
goal was to sell more than 252 glasses of fruit punch, which inequality can be used to find h, the number of hours they must stay
open to make their goal?
OA. 21h<252+147
B. 147+21h <252
OC. 147+21h> 252
OD. 147+252 > 21h
Answer:
Among these options, the correct inequality is option C, 147 + 21h > 252.
Step-by-step explanation:
To find the correct inequality that represents the number of hours the fruit and juice bar must stay open to reach its goal, let's analyze the given information.
The bar sold 21 glasses of fruit punch per hour, and by 5 p.m., they had sold 147 glasses. The goal is to sell more than 252 glasses.
Let h represent the number of hours they must stay open. Since they sell 21 glasses per hour, the total number of glasses sold after h hours would be 21h.
To reach the goal of selling more than 252 glasses, the total number of glasses sold (21h) must be greater than 252. Therefore, the correct inequality is:
21h > 252
Looking at the answer choices:
A. 21h < 252 + 147
B. 147 + 21h < 252
C. 147 + 21h > 252
D. 147 + 252 > 21h
Among these options, the correct inequality is option C, 147 + 21h > 252. This inequality represents that the sum of the glasses already sold (147) plus the glasses sold in the remaining hours (21h) must be greater than the goal of 252 glasses.
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