These two functions intersect.
2 answers:
Answer:
x = -1
Step-by-step explanation:
if you plot these two functions (which are both straight line graphs), you will see that they intersect at one point. The value of x you are trying to find is the x-coordinate of the point of intersection (see attached graph).
x + 2 = 2x + 3
subtract x from both sides: 2 = x + 3
subtract 3 from both sides: -1 = x
Therefore, x = -1
Sub x = -1 into either of the functions to get the y-coordinate of the point of intersection:
y = -1 + 2 = 1
So the point of intersection is (-1, 1)
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Answer:
see the explanation
Step-by-step explanation:
step 1
Find the scale factor of the dilation
Divide the x-coordinate or the y-coordinate of the image by the the x-coordinate or the y-coordinate of the pre-image
so
or
step 2
Multiply the coordinates of point B by the scale factor to obtain the image B'
B'(1.5*1,1.5*4)
B'(1.5,6)
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The value of a₅ is -729.
<h3>What is geometrical series?</h3>A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.
Given the value of a₁=9 and the value of . Therefore, the value of a₅ can be written as,
a₂ = -3(a₁) = -3(9) = -27
a₃ = -3(a₂) = -3(-27) = 81
a₄ = -3(a₃) = -3(81) = -243
a₅ = -3(a₄) = -3(-243) = -729
Hence, the value of a₅ is -729.
Learn more about Geometrical Series:
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