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2 years ago

Solve the equation √x-6 +2=6

Mathematics

1 answer:

Dovator [93]2 years ago

8 0

Answer:

x = 22

Step-by-step explanation:

$\sqrt{x-6}$ + 2 = 6 ( subtract 2 from both sides )

$\sqrt{x-6}$ = 4 ( square both sides to clear the radical )

x - 6 = 4² = 16 ( add 6 to both sides )

x = 22

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The difference between of two numbers is 9. If the large number is one more than twice the smaller number, find the larger numbe

sleet_krkn [62]

The larger number is 17

Solution:

Let "x" be the larger number

Let "y" be the smaller number

The difference between of two numbers is 9

Therefore,

larger number - smaller number = 9

x - y = 9 -------- eqn 1

The large number is one more than twice the smaller number

Larger number = 1 + 2(smaller number)

x = 1 + 2y ------ eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

1 + 2y - y = 9

1 + y = 9

y = 9 - 1

y = 8

Substitute y = 8 in eqn 1

x - 8 = 9

x = 8 + 9

x = 17

Thus the larger number is 17

6 0

3 years ago

Lydia wants to find the height of a flagpole. She measures the height of a tree and the length of the shadow it casts. The tree

sesenic [268]

draw a diagram.

the two are similar bc of AAsimilarity

so 8.8 is to 4 as 22 is to x

basically the answer is 10 ft tall

5 0

3 years ago

The price was 448 dollars, went on sale for 398 dollars, what was the discount as a percent and savings in dollars and cents.

Annette [7]

11% discount
$49.28 savings

5 0

3 years ago

The graph shows f(x)=(1/2)and its translation, g(x).

san4es73 [151]

The translation of four units up describes the transform function g(x) option first is correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The question is:

The graph shows f(x)=(1/2)ˣ and its translation, g(x).

Which describes the translation of f(x) to g(x)?

Translation of four units up
Translation of five units up
Translation of four units to the right
Translation of five units to the right

The graph is attached please refer to the picture.

We have the equation of the function f(x):

$\rm f(x) = (\dfrac{1}{2})^x$

From the graph, we can see the graph of the function f(x) is shifted up 4 units because the y-intercept of the graph g(x) is (0, 5)

g(x) = f(x) + 4

$\rm g(x) = (\dfrac{1}{2})^x + 4$

Thus, the translation of four units up describes the transform function g(x) option first is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

6 0

2 years ago

Please helppp solve for y

erastovalidia [21]

Answer: $y=\frac{-x}{w-3}$

Step-by-step explanation:

To solve for y, we want to isolate y.

$w=\frac{3y-x}{y}$ [multiply both sides by y]

$yw=3y-x$ [subtract both sides by 3y]

$yw-3y=-x$ [factor out y]

$y(w-3)=-x$ [divide both sides by (w-3)]

$y=\frac{-x}{w-3}$

Now, we know that $y=\frac{-x}{w-3}$ .

5 0

3 years ago