Use the Elimination method to solve the system of equations.
X+y=-3
X-y=13
Answers
x - y = 13
2x = 10
2 2
x = 5
x + y = -3
5 + y = -3
- 5 - 5
y = -8
(x, y) = (5, -8)
x+y=-3
x-y=13
---------
2x=10
x=5
For y
5+y=-3
y=-3-5
y=-8
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What are the coordinates of three points that lie on both planes of 20x+15y+12z=60 and 10x+30y+12z=60
Find the value of each variable, pls help, ty
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Simplify 6x - 4 - 6x
function below, where w represents the width of each lot. The minimum length of a lot will be 51 feet, and the
maximum length of a lot will be 204 feet.
L(W)=3W-15
WHAT IS THE DOMAIN OF L(W)
Answers
Answers
in our case, P(x) = a
a = -36; b = 900; c = -1584;
b/2a = 900/-72 = -12.5;
Δ =
P(x) = (-36)(x - 12.5)^2 + 4041, where (12.5 , 4041) is the vertex;
Answer:
y = a(x – h)2 + k, where (h, k) is the vertex;
in our case, P(x) = a Δ/4a ;
a = -36; b = 900; c = -1584;
b/2a = 900/-72 = -12.5;
Δ = 4ac = 810000 - 144*1584 = 581904 => -Δ/4a = 4041;
P(x) = (-36)(x - 12.5)^2 + 4041, where (12.5 , 4041) is the vertex;
Answers
1minute=1/60 hour
1448meter/1minute=1448meter/(1/60)hour
multiply equation by 60/60 to make bottom 1 (1/60 times 60/1= 60/60=1)
86880meter/1hour
answer is 86880 meters per our
Answers
The number of hours that it will take for both Hannah and Destiny to paint the room when they are working together is 9 8/9 hours.
Based on the information given, the fraction that can be painted by Hannah in an hour will be 1/20.
The fraction that can be painted by Destiny in an hour will be 1/16.
Therefore, the formula to solve the question will be:
1/20x + 1/16x = 1/1
4x + 5x = 80
9x = 80
Divide both side by 9
9x/9 = 80/9
x = 8 8/9 hours.
Therefore, it'll take them 8 8/9 hours to paint the room.
Read related link on:
amount of room destiny can paint in an hour = 1/16
number of hours = x
1/20x + 1/16x = 1
the reason why this formula is true is, the amount of the room painted in the end should be 1 (the whole room)
4/80x + 5/80x = 1
9/80x = 1
9x = 80
x = 80/9 hours
x = 8.89 hours
2 units by 4 units
3 units by 2 units
4 units by 4 units
5 units by 6 units
Answers
Answer:
It’s c 4 units by 4 units
Step-by-step explanation:
Final answer:
The dimensions of the rectangle should be 2 units by 4 units.
Explanation:
The correlation coefficient between x and y is 0.0491, which is very low. This means that there is no linear relationship between x and y. Therefore, it is not possible to use the linear regression model to fit the data.
The other models that you can try are the quadratic, logarithmic, exponential, and power models. To find the best-fitting model, you can calculate the R-squared value for each model. The R-squared value is a measure of how well the model fits the data. The closer the R-squared value is to 1, the better the model fits the data.
Based on the R-squared values, the quadratic model is the best-fitting model. The quadratic model is:
y = -477.38 + 237.66 ln x
The dimensions of the rectangle that the student should draw are 2 units by 4 units.
49.1 minutes to 59.3 minutes
50.3 minutes to 58.1 minutes
54.2 minutes to 58.1 minutes
54.2 minutes to 59.3 minutes
Answers
sample population = 50
mean = 54.2 minutes
standard deviation = 14.0 minutes
z-score = 2.58
2.58 * (14/√50) = 2.58 * 14/7.07 = 2.58 * 1.98 = 5.1084 or 5.11
54.2 + 5.11 = 59.31 minutes
54.2 - 5.11 = 49.09 minutes
Answer is: 49.1 minutes to 59.3 minutes
The confidence interval of the given statistics when calculated with the given parameters is; (49.1 minutes to 59.3 minutes)
How to find the confidence interval?
Formula for Margin of error is;
M = z * σ/√n
We are given;
Sample size; n = 50
mean; x' = 54.2 minutes
standard deviation; σ = 14.0 minutes
z-score = 2.58
Thus;
M = 2.58 × (14/√50)
M = 5.11
Confidence interval is;
CI = x' ± M
CI = (54.2 + 5.1), (54.2 - 5.1)
CI = (49.1 minutes, 59.3 minutes)
Read more about confidence interval at;
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