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3 years ago

Solve the system of equations by graphing x+y=-7 2x + y = 6

Mathematics

2 answers:

andrew-mc [135]3 years ago

5 0

Answer:

x=13, y=-20

Step-by-step explanation:

x+y=-7

2x+y=6

Subtract x from both sides of the first equation to be left with y=-x-7. Substituting this into the second equation, you get:

2x-x-7=6

x-y=6

x=13

y=-20

I also solved this graphically, which you can see below. Hope this helps!

valentinak56 [21]3 years ago

3 0

The red line is x+y=-7

The blue line is 2x + y = 6

(13, -20) is the solution

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An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared

Bond [772]

Answer:

The other factor is (x + 2).

Step-by-step explanation:

If x - 10 is a factor of x^2 - 8x - 20 then we must find another factor that includes +2x, so that we have -10x + 2x = -8x. That factor is (x + 2):

x^2 - 8x - 20 = (x - 10)(x + 2)

As a test, multiply -10 and +2. We get -20, matching the constant of the given polynomial. Also, -10x + 2x = -8x, another match.

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3 years ago

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What is the name of this triangle

Sonja [21]

Answer:

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Step-by-step explanation:has a right angle

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Represent the geometric series using the explicit formula.

Dennis_Churaev [7]

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Further explanation:

Given sequence is:

3, -6, 12, -24, ...

We have to find the common ratio first.

Common ratio is the ratio between two consecutive terms of a geometric sequence.

It is denoted by r.

So,

$Here,\\a_1=3\\a_2=-6\\a_3=12\\a_4=-24\\r=\frac{a_2}{a_1}=\frac{-6}{3}=-2\\\frac{a_3}{a_2}=\frac{12}{-6}=-2$

General formula for geometric sequence is:

$a_n=a_1r^{n-1}\\Here\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\and\\r\ is\ common\ ratio$

Putting the values of a1 and r

$a_n=3.(-2)^{n-1}\\f(n)=3.(-2)^{n-1}$

Hence,

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Keywords: Geometric Sequence, Explicit formula

Learn more about geometric sequence at:

#LearnwithBrainly

7 0

4 years ago

Can someone help me please

Darya [45]

Answer:

a^7/b^6

Step-by-step explanation:

3 0

3 years ago

One angle of a triangle measures 136º. The other two angles are congruent.

WINSTONCH [101]

Answer:

22°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

x + x + 136° = 180°

2x + 136° = 180° ( subtract 136° from both sides )

2x = 44° ( divide both sides by 2 )

x = 22°

3 0

3 years ago