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2 years ago

Identify the domain and range of each function. y = 4^x-5 + 3

Mathematics

2 answers:

Sveta_85 [38]2 years ago

5 0

Answer:

(- infinity, infinity), (x | x € R)

(-2, infinity), {y | y > -2)

Step-by-step explanation:

I think that's right not sure though

S_A_V [24]2 years ago

5 0

The answer is Negative infinity to infinity, 3 to infinity

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Find the constant of proportionality k. Then write an equation for the relationship between x and y

ExtremeBDS [4]

Question:

Find the constant of proportionality k. Then write an equation for the relationship between x and y

$\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}$

Answer:

(a) $k = 5$

(b) $y = 5x$

Step-by-step explanation:

Given

$\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}$

Solving (a): The constant of proportionality:

Pick any two corresponding x and y values

$(x_1,y_1) = (2,10)$

$(x_2,y_2) = (6,30)$

The constant of proportionality k is:

$k = \frac{y_2 - y_1}{x_2 - x_1}$

$k = \frac{30-10}{6-2}$

$k = \frac{20}{4}$

$k = 5$

Solving (b): The equation

In (a), we have:

$(x_1,y_1) = (2,10)$

k can also be expressed as:

$k = \frac{y- y_1}{x- x_1}$

Substitute values for x1, y1 and k

$5 = \frac{y- 10}{x- 2}$

Cross multiply:

$y - 10 = 5(x - 2)$

Open bracket

$y - 10 = 5x - 10$

Add 10 to both sides

$y - 10 +10= 5x - 10+10$

$y = 5x$

6 0

3 years ago

A triangle with sides of lengths 16,30,and 35 is a right triangle? a. true b. false

Anon25 [30]

-- The square of the shortest side . . . 16² = 256
-- The square of the medium side . . . 30² = 900
-- Their sum . . . (256 + 900) = 1,156

-- The square of the longest side = 35² = 1,225

1,156 and 1,225 are not equal, so these 3 numbers
can be the sides of a triangle, but it's not a right one.

The statement is false. (choice 'b')

8 0

3 years ago

A torist walks 10.5 inches in 3 seconds. how far does it walk per second

choli [55]

Divide distance by time:

10.5 inches / 3 seconds = 3.5 inches per second

Answer: 3.5 inches per second

3 0

2 years ago

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Use the two points and the line to find the y-intercept

adelina 88 [10]