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lesya [120]
3 years ago
13

Will give brainliest how to solve 3x-4y = 5x+7y

Mathematics
1 answer:
topjm [15]3 years ago
6 0

Answer:

(5x + -4y)(3x + 7y) = 0

Multiply (5x + -4y) * (3x + 7y)

(5x * (3x + 7y) + -4y * (3x + 7y)) = 0

((3x * 5x + 7y * 5x) + -4y * (3x + 7y)) = 0

Reorder the terms:

((35xy + 15x2) + -4y * (3x + 7y)) = 0

((35xy + 15x2) + -4y * (3x + 7y)) = 0

(35xy + 15x2 + (3x * -4y + 7y * -4y)) = 0

(35xy + 15x2 + (-12xy + -28y2)) = 0

Reorder the terms:

(35xy + -12xy + 15x2 + -28y2) = 0

Combine like terms: 35xy + -12xy = 23xy

(23xy + 15x2 + -28y2) = 0

Solving

23xy + 15x2 + -28y2 = 0

Solving for variable 'x'.

Factor a trinomial.

(5x + -4y)(3x + 7y) = 0

Step-by-step explanation:

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A local pizza restaurant delivery time has a uniform distribution over 0 to 60 minutes. What is the probability that the pizza d
Likurg_2 [28]

Answer:

X \sim Unif (a= 0, b=60)

And we want to find the following probability:

P(X>30)

And for this case we can use the cumulative distribution given by:

F(x) =\frac{x-a}{b-a}, a \leq x \leq b

And for this case if we use this formula and the complement rule we have:

P(X>30)= 1-P(X

Step-by-step explanation:

Let X the random variable who represent the pizza delivery time and we know that the distribution for x is given by:

X \sim Unif (a= 0, b=60)

And we want to find the following probability:

P(X>30)

And for this case we can use the cumulative distribution given by:

F(x) =\frac{x-a}{b-a}, a \leq x \leq b

And for this case if we use this formula and the complement rule we have:

P(X>30)= 1-P(X

7 0
4 years ago
Write an equation in slope-intercept form for the line that passes through (5,3) and is parallel to x+3y=6.
Grace [21]

Answer:

y=-\frac{1}{3} x+\frac{14}{3}

Step-by-step explanation:

A parallel line would have the same left hand side, different right hand side.

Use the point to determine the new right hand side.

6 0
3 years ago
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, 3)A(−8,3
Andru [333]

9514 1404 393

Answer:

  15 squre units

Step-by-step explanation:

The area of the rectangle is the product of its length and width. The length is AB = 5 units; the width is BC = 3 units. Then the area is ...

  A = LW

  A = (5 units)(3 units) = 15 units²

The area of rectangle ABCD is 15 square units.

6 0
3 years ago
What do you call raising a base to the exponent 2
Maru [420]

Answer:

Squaring

Step-by-step explanation:

5 0
3 years ago
The height, h, in metres, of a rocket t seconds after it is launched is approximately modelled by the quadratic relation h = 80t
8_murik_8 [283]

Answer: 5 s

Step-by-step explanation:

Given

Height of the rocket can be modelled as h=80-16t^2

Rocket will land on earth when it's height becomes 0

\Rightarrow 80t-16t^2=0\\\Rightarrow t(80-16t)=0\\\\\Rightarrow t=0\ \text{or}\ t=\dfrac{80}{16}=5\ s

Neglecting 0 value

Thus, rocket remains in air for 5 s.

3 0
3 years ago
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