All categories

3 years ago

Find formula for g(x) if it is known that g(x-3)=2x-6

Mathematics

1 answer:

kati45 [8]3 years ago

7 0

9514 1404 393

Answer:

g(x) = 2x

Step-by-step explanation:

Replace x in the given function with x+3.

g((x+3) -3) = 2(x+3) -6

g(x) = 2x +6 -6

g(x) = 2x

You might be interested in

Please help me out ‼️

Westkost [7]

Answer:

Step-by-step explanation:

In similar triangles, corresponding elements are proportional. Then we get,

(2x + 1)/(x-1) = 10/4

4(2x +1) = 10(x-1)

8x + 4 = 10x - 10

8x = 10x - 14

2x = 14

x = 7

Hope it helps and if it does, please mark me brainliest...

6 0

3 years ago

Read 2 more answers

You are asked to choose a vowel (a, e, i, o, u) from a list, and then to choose either the number 6 or 7. How many possible outc

faltersainse [42]

Answer:

10 possible outcomes

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7}

Step-by-step explanation:

As there are 5 vowels and 2 numbers that have to be chosen, the total outcomes are

= 5x2 = 10

Each vowel can be chosen with 6 or with 7

Let S be the sample space

a vowel will be chosen first then there is possibility that either the number chosen with it is either 6 or 7 so each vowel will have two possible outcomes with the number

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7} ..

4 0

3 years ago

True or false: the diagonals of any trapezoid are congruent

Semenov [28]

False because they intersect eachother if they were to continue

6 0

3 years ago

Read 2 more answers

Pls help me first get 10 you know

Luba_88 [7]

Option D, 63 cm

Explanation:

The scale of model is of local park is

This means that each dimension of the model is 21 times smaller than the actual park (to be developed in future)

Given -

Depth of the pond centi meter

Depth of the real pond will be 21 times of the depth of the model.

Thus , real pond's depth is equal to

Hence, option D is correct

7 0

2 years ago

Which choice is the equation of a line that passes through (9, -3) and is parallel to the line represented by this equation? y=5

miskamm [114]

Answer:

$y+3=\frac{5}{3}(x-9)$ or $y=\frac{5}{3}x-18$

Step-by-step explanation:

step 1

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

we have

$y=\frac{5}{3}x-4$

therefore

The slope m of the line parallel to the given line is

$m=\frac{5}{3}$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{5}{3}$

$point\ (9,-3)$

substitute

$y+3=\frac{5}{3}(x-9)$ ----> equation of the line in point slope form

step 3

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$y+3=\frac{5}{3}(x-9)$

Isolate the variable y

$y+3=\frac{5}{3}x-15$

$y=\frac{5}{3}x-15-3$

$y=\frac{5}{3}x-18$

7 0

3 years ago