1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gayaneshka [121]
3 years ago
5

HELP! I NEED THE ANSWER ASAP!!!!!

Mathematics
1 answer:
vladimir1956 [14]3 years ago
7 0

Answer:

The solution to the given system of equations is (-2, -2).

Step-by-step explanation:

The given system of equations is,

2<em>x</em> + <em>y</em> = -6               .......(1)

-8<em>x</em> + 2<em>y</em> = 12            ......(2)

Now, we will make the coefficients of either <em>x</em> or <em>y</em> as opposites.

In the above system of equations, we will make the coefficients of <em>x</em> as opposites.

Multiplying equation (1) by '4' and equation (2) by '1', we get

8<em>x</em> + 4<em>y</em> = -24         .......(3)

-8<em>x</em> + 2<em>y</em> = 12          .......(4)

Now, we will add the equations (3) and (4).

  (8<em>x</em> + 4<em>y</em>) + (-8<em>x</em> + 2<em>y</em>) = -24 + 12

⇒8<em>x</em> + 4<em>y</em> - 8<em>x</em> + 2<em>y</em> = -12

⇒6<em>y</em> = -12

⇒<em>y</em> = \frac{-12}{6}

⇒<em>y</em> = -2

Now, substituting the value of <em>y</em> in equation (1), we get

  2<em>x</em> + (-2) = -6

⇒2<em>x</em> - 2 = -6

⇒2<em>x</em> = -6+2

⇒2<em>x</em> = -4

⇒<em>x</em> = \frac{-4}{2}

⇒<em>x </em>= -2

∴ <em>x</em> = -2; <em>y</em> = -2 is the solution of the given system of equations.

You might be interested in
According to AccuData Media Research, 36% of televisions within the Chicago city limits are tuned to "Eyewitness News" at 5:00 p
umka21 [38]

Answer:

a) Mean: 900

Standard deviation: 24

b) Very unusual

c) Unusual

Step-by-step explanation:

We have a population proportion p=0.36 and we are taking a sample of size n=2500. This can be modeled as binomial sampling.

For this sampling distribution, we have a mean and STD that can be calculated as:

\mu_s=n\cdot p=2500\cdot0.36=900\\\\\sigma_s=\sqrt{n\cdot p(1-p)}=\sqrt{2500*0.36*0.64)}=\sqrt{576}=24

b) A value of 840 is a very unusual as is more than 2 standard deviations from the expected value of 900 (more exactly, at 2.5 standard deviations). Approximately 2% of the values are below 2 standars deviations from the mean.

Having 840 or less televisions tuned to "Eyewitness News" would have a probability of P=0.00621.

c) A value of 945 would be also unusual, but not as unusual as 840, as is between 1 and 2 standard deviation from the expected value.

Having 945 or more televisions tuned to "Eyewitness News" would have a probability of P=0.0304.

5 0
3 years ago
Solve for x.<br> y=x/c+b<br> Enter your answer in the box
Mandarinka [93]

So first you move the b over: x/c=y-b. Then you divide y-b by c.

x = (y-b)/c

6 0
3 years ago
Read 2 more answers
While walking past a flag pole, Tommy looked down and noticed his shadow. Use the diagram below to
SashulF [63]

Answer: x=5.6

Step-by-step explanation:

3 0
2 years ago
How do you factor a polynomial when one root has been given
zloy xaker [14]
So first what you are going to do is divide synthetically your root aka factor into your given equation. Then you are going to kind of guess ands check to find the other factor by synthetically dividing what you have left which should be
x^2 +2x +1 by -5, 5 (to make sure there is no multiplicity), 1, and -1 until you get zero in your remainder spot. The number you used to divide will be your other root.
7 0
3 years ago
Read 2 more answers
The number of calories K is needed each day by a moderately active women who weight w pounds, is h inches tall, and is a year ol
drek231 [11]
K = 917 + 6(w + h - a)
k = 1925
w = 119
a = 25

1925 = 917 + 6(119 + h - 25) =
1925 = 917 + 6(h + 94)
1925 = 917 + 6h + 564
1925 = 1481 + 6h
1925 - 1481 = 6h
444 = 6h
444/6 = h
74 = h........she is 74 inches tall
4 0
2 years ago
Other questions:
  • Using the technique in the model above, find the missing segments in this 30°-60°-90° right triangle. AB = 8 BC = 4 CD =
    13·2 answers
  • David is filling five 3/4quart bottles with a sports drinks.His measuring cup only holds 1/4 quart. How many times will David ne
    7·1 answer
  • Is 1/4 gallon less than, equal to, or greater than 1.1 qts?
    15·1 answer
  • Witch expression is equivalent to 5(6xt 3y)
    9·1 answer
  • 745=5x^3 Express the answer to the hundredths place (i.e., two digits after the decimal point)
    14·1 answer
  • X 3 4 x is 1/2 idk it .. if you can help thank you so much it’s math .
    5·1 answer
  • Which fraction is bigger 11/15 or 13/20 using lcm?
    15·1 answer
  • Multiply 4-6i and -4+2i
    13·2 answers
  • Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.<br> f(−1) = <br> f(1) = <br> f(2) =
    8·1 answer
  • Can someone please help&lt;3
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!