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klemol [59]
3 years ago
12

(08.02)Which description best describes the solution to the following system of equations?

Mathematics
2 answers:
aksik [14]3 years ago
4 0
I believe it's C. It's the most informative and they intersect at (-3, 9)
vaieri [72.5K]3 years ago
4 0

Answer:

Line y = −2x + 3 intersects the line y = −x + 6 at (-3,9)

C is correct

Step-by-step explanation:

Given:

y=-2x+3

y=-x+6

We are given system of equation and need to solve.

First we find the solution of system of equation and then check the options.

Using substitution method to find x and y

-2x+3=-x+6

-x=6-3

x=-3

Put x=-3 into y=-2x+3

y=-2(-3) + 3 = 9

Point of Intersection: (-3,9)

Hence, The system of equation intersect at (-3,9).

You might be interested in
Find number of sides of a regular polygon if each of its exterior angle is 36.​
irinina [24]

Answer:

10 sides,that is, a decagon or 10gon

Step-by-step explanation:

If the exterior angle is 36° then numbers of sides=

36 = \frac{360}{n}

Therefore

n=360°÷36°=10

4 0
3 years ago
Read 2 more answers
lee is planning an event for 28 people, he wants to make a fruit drink and he thinks that each person will drink 3 glasses each.
GenaCL600 [577]

Answer:

84

Step-by-step explanation:

Since there will be 28 people, and each of them will drink 3 glasses, you just multiply the number of people times the number of glasses they will drink each, so 28*3. The result is 84.

I hope this helped! :D

7 0
3 years ago
Find the 7th term in the<br> sequence<br> -1, -3, -9,...
mestny [16]

Answer:

The answer is 729

Step-by-step explanation:

to get the next term, the sequence multiples the previous number by -3

1 * -3 = -3

-3 * -3 = 9

and so on.

To get the 7th term:

-27 * -3 = 81 (5th term)

81 * -3 = -243 (6th)

-243 * -3 = 729 (7th)

7 0
3 years ago
Read 2 more answers
The state medical school has discovered a new test for tuberculosis. (If the test indicates a person has tuberculosis, the
Inessa [10]

The probability according to the given scenario is:

(a) <em>0.0395</em>

(b) <em>0.95</em>

(c) <em>0.076</em>

The given values are:

  • P(B/A) = 0.79
  • P(A) = 0.05

(a)

The probability that the  b/w has tuberculosis as well as having (+) test will be:

→ P(A \cap B) = P(B/A).P(A)

By substituting the values, we get

→                  = 0.79\times 0.05

→                  = 0.0395

(b)

The probability that a person does not have tuberculosis will be:

→ P(A') = 1-P(A)

→            =1-0.05

→            = 0.95

(c)

The person does not have tuberculosis as well as have a (+) test, the probability will be:

→ P(A' \cap B) = P(A').P(B/A')

→                  = 0.95\times 0.08

→                  = 0.076

Learn more:

brainly.com/question/14816227

8 0
2 years ago
Fiona solved the equation shown 1/2-1/3(6x-3)=-13/2 what is the missing step of her solution?
V125BC [204]

Answer:

Summation of the non variable Expression within the quality sign

1/2 + 1-2x= -13/2

3/2-2x= -13/2

Step-by-step explanation:

1/2-1/3(6x-3)=-13/2

First step

Using the distributive property to simply

1/2-(6x/3)+(3/3)=-13/2

1/2 -2x +1 = -13/2

Second step

Summation of the non variable Expression within the quality sign

1/2 + 1-2x= -13/2

3/2-2x= -13/2

Third step

Isolating the variable Expression by using the addition property of equality

-2x = -13/2 - 3/2

-2x = -16/2

Fourth step

Isolating the variable by using the division property of equality

-2x = -16/2

X = -16/2 * -1/2

X = -16/-4

X= 4

4 0
3 years ago
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