Choose the graph that matches the following system of equations:
2 answers:
Answer:
(4) graph is correct.
Step-by-step explanation:
Given: the following system of equations:
7x + 2y = −6
6x − 7y = 21
We have to choose the correct graph for the given system of equations.
Consider the given system of equations:
7x + 2y = −6 .....(1)
6x − 7y = 21 .........(2)
Multiply (1) by 7 and (2) by 2 , we have,
( 7x + 2y = -6 ) × 7 , we have,
49x + 14y = - 42 ........(3)
( 6x − 7y = 21 ) × 2 , we have,
12x − 14y = 42 .............(4)
Add (3) and (4) , we have,
49x + 14 y + (12x - 14y)= - 42 + 42
49x + 12x = 0
x = 0
Put in (1) , we have,
7(0) + 2y = −6 ⇒ 2y = -6 ⇒ y = -3
Thus, (0, -3) is the solution.
So, (4) graph is correct.
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The equation that represents the given data is Option D is the correct answer.
It is a statement where two variables , one dependent and one independent are related.
It is given that
a cube root function goes through (8, 2), has an inflection point at (0, negative 1), and goes through (8, negative 3).
The equation given in the options are
The function goes through (8,2)
Substituting the values
f(x) = -2
f(x) =
f(x) = -3
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The equation that represents the given data is
Option D is the correct answer.
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Answer:
Step-by-step explanation:
It's a parallelogram.
The formula of an area of a parallelogram:
b - base
h - height
We have b = 9cm and h = 5cm. Substitute: