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horsena [70]
3 years ago
12

Provide the value of k: (2x-1)(kx+1)=6x^2-x-1

Mathematics
2 answers:
guapka [62]3 years ago
4 0

Answer:

k = 3

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms on both sides.

(2x - 1)(kx + 1) ← expand using FOIL

= 2kx² + 2x - kx - 1

Compare the coefficients of the x² term on both sides

2k = 6 ( divide both sides by 2 )

k = 3

elixir [45]3 years ago
4 0

Answer:

k= 6x-3/2x-1

Step-by-step explanation:

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natka813 [3]

Is this a Question???????

(If this is important then sorry for my answer)

3 0
3 years ago
On a coordinate plane, triangle T V W has points (negative 4, 8), (0, 4), and (4, 4).
Vanyuwa [196]

The coordinates of the endpoints of line segments T'V' are; T'(-1, 2) and V'(0, 1).

<h3>What are the coordinates of the endpoints of the segment T'V'?</h3>

It follows from the task content that the transformation involved in the formation of the image from the pre-image is dilation by a scale factor of 1/4.

On this note, given that the coordinates of T and V from the task content are; (-4, 8) and (0,4), it follows that the coordinates of the endpoints as required are; T'(-1, 2) and V'(0, 1).

Read more on dilations;

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6 0
2 years ago
⎧
MrRissso [65]

Answer:

f(n)=-5-3n

Step-by-step explanation:

Given the recursive formula of a sequence

f(1)=−8

f(n)=f(n−1)−3

We are to determine an explicit formula for the sequence.

f(2)=f(2-1)-3

=f(1)-3

=-8-3

f(2)=-11

f(3)=f(3-1)-3

=f(2)-3

=-11-3

f(3)=-14

We write the first few terms of the sequence.

-8, -11, -14, ...

This is an arithmetic sequence where the:

First term, a= -8

Common difference, d=-11-(-8)=-11+8

d=-3

The nth term of an arithmetic sequence is determined using the formula:

T(n)=a+(n-1)d

Substituting the derived values, we have:

T(n)=-8-3(n-1)

=-8-3n+3

T(n)=-5-3n

Therefore, the explicit formula for f(n) can be written as:

f(n)=-5-3n

7 0
3 years ago
How to div602÷3 device
PolarNik [594]
This is my work. the answer would be 200 2/3.

6 0
3 years ago
Four streets enter a traffic circle at points A B C and D name six arcs formed by the streets.
lilavasa [31]
Arcs are just sections of the circle
so lets say you had a pizza

and you put some points on the crust, the legnth of the crust from point to point is that arc

example
if you put poins A and B, then arc AB is the crust between points A and B

arcs can include other points as well
 and arc AB=arc BA


so
I wil name easy arcs first
arc AB
arc BC
arc CD
ard DA

now ones that include others
arc AC
arc BD

so the arcs you might want to list are
 
arc AB
arc BC
arc CD
ard DA
arc AC
arc DB

5 0
4 years ago
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