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3 years ago

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For the following system of equations, find the points where F(X)=G(X) by completing

1 answer:

miss Akunina [59]3 years ago

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Which of the following would be the most logical first step to solving this

Sauron [17]

Answer:

subtract 2 on both sides

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3 years ago

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What is the following product? Assume y >/= 0

spin [16.1K]

$\sqrt{y^3} * \sqrt{y^3}= \sqrt{y^3*y^3}= \sqrt{y^6}=y^{ \frac{6}{2} } =y^3$

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3 years ago

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Tammy, Kelley, and Jim love reading books. Tammy read 7.75 hours last month. Kelley read 7.69 hours. Jim read 7.075 hours. Who s

kramer

Answer:

Tammy

Step-by-step explanation:

Tammy read 7.75 hours last month. Kelley read 7.69 hours

Jim read 7.075 hours.

We would arrange the hours of reading from smallest to the highest

7.075, 7.69, 7.75

The person who spent the most time reading is the person with the highest number of hours that was spent reading. This person is Tammy.

Therefore, person who spent the most time reading is Tammy because she read for 7.75 hours.

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3 years ago

The quotient of a number and thirteen algebraic expression

pickupchik [31]

X/13
Quotient means divide. So you will make a fraction. On the top goes x and on the bottom is 13

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3 years ago

Find the equation of the line that passes through the point of intersection of x + 2y = 9 and 4x -2y = -4 and the point of inter

Rudik [331]

Answer:

$y=-6x+10$

Step-by-step explanation:

The point of intersection of

$x+2y=9...eqn1$

and

$4x-2y=-4...eqn2$

is the solution of the two equations.

We add equation (1) and equation(2) to get,

$x+4x+2y-2y=9+-4$

$\Rightarrow 5x=5$

$\Rightarrow x=1$

We put $x=1$ into equation (1) to get,

$1+2y=9$

$\Rightarrow 2y=9-1$

$\Rightarrow 2y=8$

$\Rightarrow y=4$

Therefore the line passes through the point, $(1,4)$ .

The line also passes through the point of intersection of

$3x-4y=14...eqn(3)$

and

$3x+7y=-8...eqn(4)$

We subtract equation (3) from equation (4) to obtain,

$3x-3x+7y--4y=-8-14$

$\Rightarrow 11y=-22$

$\Rightarrow y=-2$

We substitute this value into equation (4) to get,

$3x+7(-2)=-8$

$3x-14=-8$

$3x=-8+14$

$3x=6$

$x=2$

The line also passes through

$(2,-2)$

The slope of the line is

$slope=\frac{4--2}{1-2} =\frac{6}{-1}=-6$

The equation of the line is

$y+2=-6(x-2)$

$y+2=-6x+12$

$y=-6x+10$ is the required equation

4 0

3 years ago