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Nata [24]
3 years ago
12

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen

t to y from the first equation is substituted into the second equation.
6x − y = 1
4x − 3y = −11
Mathematics
1 answer:
Korolek [52]3 years ago
3 0

Answer:x=1, y=5

Step-by-step explanation:

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Convert the quadratic equation, <br>f (x) = 2(x - 3)2 +1, into standard form.​
laiz [17]

Step-by-step explanation:

........4x-y=11........

8 0
3 years ago
Derivative of this function<br> <br>Y= -7X³ -8X² +6X +3
zaharov [31]

In general, the derivative of a single term  Ax^(n)  is  A n x^(n-1) .

And the derivative of a sum of many terms is the sum of the derivatives
of the individual terms.  

Using these two rules, the derivative (with respect to 'x') of the expression
in the question is . . .

<em>            Y' = -21x² - 16x + 6</em>


7 0
3 years ago
20. what us the area of the figure:
Varvara68 [4.7K]
If the angle in B is 45º, that means the angle in A is also going to be 45º, considering it's a right triangle, so AC and BC are they have the same length.
Then using Pythagoras, you'll get that AC^{2} + BC^{2} equals AB^{2} .
Now, you know that AC=BC and that AB=24.
So you'll get 2AC^{2} =24^2 . You do the square root in both sides and you get that 2AC=24 and AC=12.

Now that you know that both AC and BC equal 12, you can find the area by just multiplying them and then diving them by 2. (The formula for the area of a triangle is half base multiplied by height, and in a right triangle, if a cathetus is the base, the other cathetus<span> will be the height)

And so the area is equal to 72.</span>
8 0
3 years ago
Kurt opened a savings account and deposited $3,000.00 as principal. The account earns 5%
stiv31 [10]

Answer:

Step-by-step explanation:

P = 3,000

r = 5% = 0.05

t = 9 years

Amount after 9 years is

A = P (1+ r)^t

A = 3,000(1+ 0.05)^9 = 3,000 * 1.05^9 = 4653.984648 ≈ $4,653.98

The balance after 9 years, rounded to the nearest cent is

$4,653 and 98 cents

7 0
2 years ago
1) Solve the following system of equations algebraically. Give your solution as two
Bad White [126]

For this case we have the following system of equations:

y = x ^ 2 + 7x + 12\\y = 2x + 8

Equating both equations we have:

x ^ 2 + 7x + 12 = 2x + 8\\x ^ 2 + 7x-2x + 12-8 = 0\\x ^ 2 + 5x + 4 = 0

We must find the solutions, for this we factor. We look for two numbers that, when multiplied, result in 4 and when added, result in 5. These numbers are 4 and 1:

4 + 1 = 5\\4 * 1 = 4

Then, the factorized equation is of the form:

(x + 4) (x + 1) = 0

Thus, the solutions are:

x_ {1} = - 4\\x_ {2} = - 1

We look for solutions for the variable "y":

y_ {1} = 2 (-4) + 8 = -8 + 8 = 0\\y_ {2} = 2 (-1) + 8 = -2 + 8 = 6

Thus, the system solutions are given by:(x_ {1}, y_ {1}): (- 4,0)\\(x_ {2}, y_ {2}): (- 1,6)

ANswer:

(x_ {1}, y_ {1}): (- 4,0)\\(x_ {2}, y_ {2}): (- 1,6)

8 0
3 years ago
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