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3 years ago

What is the y-value in the solution to this system of linear equations?

Mathematics

2 answers:

Airida [17]3 years ago

8 0

Answer: The answer is y = -4

Karolina [17]3 years ago

6 0

Answer:

y = -4

Step-by-step explanation:

Solve the following system:

{4 x + 5 y = -12 | (equation 1)

3 y - 2 x = -16 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{4 x + 5 y = -12 | (equation 1)

0 x+(11 y)/2 = -22 | (equation 2)

Multiply equation 2 by 2/11:

{4 x + 5 y = -12 | (equation 1)

0 x+y = -4 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{4 x+0 y = 8 | (equation 1)

0 x+y = -4 | (equation 2)

Divide equation 1 by 4:

{x+0 y = 2 | (equation 1)

0 x+y = -4 | (equation 2)

Collect results:

Answer: {x = 2 , y = -4

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Given a sample size n, how will the distribution of the sample mean behave?

Keith_Richards [23]

Answer:
Provided that the sample size, n, is sufficiently large (greater than 30), the distribution of sample means selected from a population will have a normal distribution, according to the Central Limit Theorem.

Explanation:
1. As n increases, the sample mean approaches the population mean
(The Law of Large numbers)
2. The standard error of the sample is
σ/√n
where σ = population standard deviation.
As n increases, the standard error decreases, which means that the error
between the sample and population means decreases.

5 0

2 years ago

Find the slope of the tangent line to the curve f(x)=e^(x) at (0.4,1.49)

almond37 [142]

Answer:

1.49

Step-by-step explanation:

In order to find the slope of the tangent line to a given equation, and in a given point, we need to:

1. Find the first derivative of the given function.

2. Evaluate the first derivative function in the given point.

1. Let's find the first derivative of the given function:

The original function is $f(x)=e^{x}$

But remeber that the derivative of $e^{x}$ is $e^{x}$

so, $f'(x)=e^{x}$

2. Let's evaluate the first derivative function in the given point

The given point is (0.4,1.49) so:

$f'(x)=e^{x}$

$f'(0.4)=e^{0.4}$

$f'(x)=1.49$

Notice that the calculated slope of the tangent line is equal to the y-coordinate of the given point because f'(x)=f(x). In conclusion, the slope of the tangent line is equal to 1.49.

8 0

3 years ago

HEEEEELP!!!!!!!!!!!!!11 I WILL MARK BRAINLIEST kx-3y=4 4x-5y=7 k is constant and x and y are variables, for what value of k will

Studentka2010 [4]

Answer:

Step-by-step explanation:

There is no solution for system of equations: $a_1x+b_1y=c_1\\a_2y+b_2y=c_2$

if: $a_1=a_2\quad and\quad b_1=b_2\quad and\quad \bold{c_1\ne c_2}$

so first, we we need to transform the equations to the form where the coefficients at y will be the same:

$kx-3y=4\\ 4x-5y=7\\\\ (kx-3y)\cdot5=4\cdot5\\ (4x-5y)\cdot3=7\cdot3\\\\ 5kx-15y=20\\ 12x-15y=21$

Now we have b₁=b₂ and c₁≠c₂ so the system has no solution if a₁=a₂

5k = 12

÷5 ÷5

k = ¹²/₅

7 0

3 years ago

The regular price of a baseball hat is $15.65. If Julio buys the baseball hat on sale for 20% off the regular price, how much ch

larisa [96]

Begin by multiplying $15.65 by 0.20 to find what 20% of the regular price is. This gives you 3.13, which in this situation means $3.13.
To find the price with discount subtract 15.65-3.13. This gives you $12.52.
To find out the change, subtract 20-12.52. This gives you $7.48.
So, he will receive $7.48 in change.
Hope this helps!

8 0

2 years ago

GIVING BRAINLIEST PLEASE HELP!!

barxatty [35]

Answer:

d. hope I get it right I never got brainliest

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers