Help asap geometry 1 honors!!!!

What is the solution to the following system of equations? 4x + 2y = 18 x − y = 3

Ber [7]

For this case we have the following system of equations:

$4x + 2y = 18\\x-y = 3$

To solve, we clear "x" from the second equation:

$x = 3 + y$

We substitute "x" in the first equation:

$4 (3 + y) + 2y = 18\\12 + 4y + 2y = 18\\12 + 6y = 18$

We clear the value of the variable "y":

$6y = 18-12\\6y = 6\\y = \frac {6} {6}\\y = 1$

We look for the value of the variable "x":

$x = 3 + y\\x = 3 + 1\\x = 4$

Thus, the solution of the system is given by:

$(x, y) :( 4,1)$

Answer:

$(x, y) :( 4,1)$

Option D

4 0

3 years ago

Sample annual salaries (in thousands of dollars) for employees at a company are listed. 42 36 48 51 39 39 42 36 48 33 39 42 45 (

Sonja [21]

Answer:

a) Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

$\bar X = 41.538$

$s = 5.317$

b) 44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

$\bar X = 43.615$

$s= 5.583$

c) 3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

$\bar X= 3.462$

$s = 0.443$

d) As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3.462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

Step-by-step explanation:

For this case we can use the following formulas for the mean and standard deviation:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

Part a

Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

And if we calculate the mean we got:

$\bar X = 41.538$

$s = 5.317$

Part b

For this case we know that each value present a 5% of rise so we just need to multiply each value bu 1.05 and we have this new dataset:

44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

And if we calculate the new mean and deviation we got:

$\bar X = 43.615$

$s= 5.583$

Part c

The new dataset would be each value divided by 12 so we have:

3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

And the new mean and deviation would be:

$\bar X= 3.462$

$s = 0.443$

Part d

As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3,462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

5 0

3 years ago

I need the smaller and larger angle

SSSSS [86.1K]

Answer:

x=11

Step-by-step explanation:

(4x)+(3x+13)=90

if you look at the beam, it includes a 90 degree angle.

7x+13=90

distributive property

7x=77

subtracted both sides by 13

x=11

divided both sides by 7 to isolate x

4(11) 3(11)+13

44 33+13

36

4(x) is the larger angle

6 0

3 years ago

Darius takes his family on an afternoon boat ride.

adelina 88 [10]

The statement that is true would be later on as he crosses Stover Lake, he drives 30 minutes at the same average speed. Hope this helps

6 0

3 years ago

To test upper h 0: muequals50 versus upper h 1: muless than50, a random sample of size nequals22 is obtained from a populatio

aleksandrvk [35]

We complete everything as follows $\lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left \{ {{y=2} \atop {x=2}} \right.$

$x_{123} \neq \int\limits^a_b {x} \, dx \leq \int\limits^a_b {x} \, dx$

5 0

3 years ago