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3 years ago

Graph and write solution: 2x + 1 = y -4x + 6y = -10

Mathematics

1 answer:

PIT_PIT [208]3 years ago

4 0

The graph is shown in figure below

The Solution Set is (-2,-3)

Step-by-step explanation:

We need to graph the equations and writ the solution.

For graphing we need to find the values of x and y.

For that, we need to solve the given equations:

$2x + 1 = y\\-4x + 6y = -10$

Let:

$2x + 1 = y\,\,\,eq(1)\\-4x + 6y = -10\,\,\,eq(2)$

We can solve this by using Substitution Method.

Putting value of y of eq(1) into eq(2) and finding value of x:

$2x + 1 = y\,\,\,eq(1)\\-4x+6(2x+1)=-10\\-4x+12x+6=-10\\8x+6=-10\\8x=-10-6\\8x=-16\\x=-16/8\\x=-2$

So, value of x = -2

Now put value of x in eq(1) to find value of y:

$2x + 1 = y\\2(-2)+1=y\\-4+1=y\\y=-3$

So, value of y = -3

Plotting on graph: x=-2 and y = -3

The graph is shown in figure below

The Solution Set is (-2,-3)

Keywords: graph the equations

Learn more about Graphing Equations at:

#learnwithBrainly

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F(x)=6x^2 +10x−1

KATRIN_1 [288]

Answer: It has two distinct real zeros.

Step-by-step explanation:

The formula that is used to calculate the discriminant of a Quadratic function is the one shown below:

$D=b^2-4ac$

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Let's make it equal to 0:

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You can identify that:

$a=6\\\\b=10$

Knowing these values, you can substitute them into the formula and then evaluate:

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Therefore, since:

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You can determine that the it has two distinct real roots.

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(2^8 . 5^-5 . 19^0)^-2

using PEMDAS

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Harlamova29_29 [7]

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AleksandrR [38]

Given:

The sequence is -8, -12, -16.

To find:

The nth and 52th term of the given sequence.

Solution:

We have,

-8, -12, -16

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$r=a_2-a_1$

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$r=-12+8$

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$a_n=a+(n-1)d$

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$a_n=-8+(n-1)(-4)$

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