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Leto [7]
3 years ago
15

Solve the following simultaneous equations using an algebraic (not graphical) method.

Mathematics
1 answer:
ahrayia [7]3 years ago
3 0

Answer:

x=4

y= -1

Step-by-step explanation:

(3x-2y=14)×3

(7x+3y=25)×2

9x-6y= 42

14x + 6y =50

9x-42=6y

-14x+50=6y

9x-42= -14x+50

23x = 92

x=4

3(4)-2y=14

12-2y =14

-2y=2

y= -1

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PLS HELP<br> 2. Write a quadratic function to the model to the graph to the right
lapo4ka [179]
Given the vertex, (-4, 3):

We can use the quadratic function in vertex form, f(x) = a(x - h)^2 + k where:

(h, k) = vertex

a = determines whether the graph opens up or down, and makes the parent function wider or narrower.
* If a is positive, the graph opens up.
* If a is negative, the graph opens down.

h = determines how far left or right the parent function is translated.

k = determines how far up or down the parent function is translated.

Now that we defined each variable in the vertex form, we can plug in the values of the vertex (-4, 3) into the equation:

f(x) = a(x - h)^2 + k
f(x) = a(x + 4)^2 + 3

To solve for the value of “a”, we must choose another point from the graph. The y-intercept of the parabola happens to be (0, 19), so we’ll use its values to solve for “a”:

19 = a(0 + 4)^2 + 3
19 = a(4)^2 + 3
19 = a(16) + 3

Subtract 3 from both sides:

19 - 3 = a(16) + 3- 3

16 = 16a

Divide both sides by 16:

16/16 = 16a/16

1 = a

The value of a = 1. Since it is a positive number, then it confirms that the parabola opens upward.

Therefore, the quadratic function in vertex form is:

f(x) = (x + 4)^2 + 3

Please mark my answers as the Brainliest if you find this helpful :)
4 0
2 years ago
Directions: 1. Assume each person is following Dave’s advice of investing 15% of his or her annual household income.
Rudik [331]
I believe you don't need to do any work at all except to divide everything by 25%.
I hope I helped you out!
8 0
3 years ago
There are 5 smiles Linda mad one a fawn haw many smiles are there now
pychu [463]

Answer:

4

Step-by-step explanation:

5 smiles - 1 = 4 smiles

7 0
3 years ago
Read 2 more answers
I need help with this. thank you
nignag [31]

Answer:

the center of the circle would/should be (0,0)

8 0
2 years ago
I don’t understand this problem
Rina8888 [55]

Answer:

Standard Deviation, σ = 6.5828058860438

Step-by-step explanation:

<u>Data Set:</u> 20, 11, 27, 13, 29, 20

The total numbers in the data set

Count, N = 6

The sum is all values in the data set is added up

20 + 11 + 27 + 13 + 29 + 20

Sum, Σx: 120

The mean is the sim / N

Mean, μ: 20

7 0
1 year ago
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