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4 years ago

What is the transformation?

Mathematics

1 answer:

disa [49]4 years ago

6 0

Answer:

horizontal shift left 5

Step-by-step explanation:

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What is an equivalent expression for x=3y-2

ioda

X = 3(y - 2/3) ...distribute thru the parenthesis
x = 3y - 6/3...reduce
x = 3y - 2

so ur answer is : x = 3(y - 2/3)

5 0

3 years ago

9375 grams of radioactive material decays every hour in a geometric fashion. After 4 hours of decay, 15 grams of radioactive mat

Paladinen [302]

The amount of radioactive material that would remain by the 7th hour of decay is 0.12 grams.

<h3>Exponential function</h3>

An exponential function is in the form:

y = abˣ

where y,x are variables, a is the initial value and b is the multiplicative factor.

Let y represent the amount of substance remaining after x hours. Hence:

a = 9375, at x = 4, y = 15:

15 = 9375(b)⁴

b = 0.2

y = 9375(0.2)ˣ

For the 7th hour, x = 7:

y = 9375(0.2)⁷ = 0.12

The amount of radioactive material that would remain by the 7th hour of decay is 0.12 grams.

Find out more on Exponential function at: brainly.com/question/12940982

7 0

3 years ago

Jackie is buying crackers and wants to know how many crackers are in the box. The box is 8 cm long, 2.4 cm wide, and 60 cm high.

Ivenika [448]

Answer:

pegue um pau é depois coma ele

6 0

3 years ago

The manager of a restaurant found that the cost to produce 200 cups of coffee is $65.00 , while the cost to produce 250 cups i

PIT_PIT [208]

Answer:

a). y = 0.25x + 15

b). x = 480 cups

Step-by-step explanation:

(a). Let the equation of the linear function passing through a point (x', y') is,

y - y' = m(x - x')

'm' = slope of the line

b = y-intercept

Two points lying on the linear function will be (200, 65) and (250, 77.5).

Slope of the line 'm' = $\frac{y_2-y_1}{x_2-x_1}$

m = $\frac{77.5-65}{250-200}$

= $\frac{12.5}{50}$

= 0.25

Therefore, equation of the line passing through (200, 65) and slope 0.25 will be,

y - 65 = 0.25(x - 200)

y - 65 = 0.25x - 50

y = 0.25x + 15

(b). For y = $135 we have to calculate the number of cups of coffee produced.

135 = 0.25x + 15

0.25x = 135 - 15

0.25x = 120

x = 480 cups

Therefore, 480 cups of coffee will be produced.

8 0

4 years ago

Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.

jeka94

Answer:

$x=4+2\sqrt{3}$

$x=4-2\sqrt{3}$

Step-by-step explanation:

<u>Completing the square</u>

when $ax^2+bx+c=0$

Given equation:

$3x^2-24x+40=28$

Subtract 40 from both sides:

$\implies 3x^2-24x=-12$

Divide both sides by 3:

$\implies x^2-8x=-4$

Add the square of half the coefficient of $x$ to both sides:

$(\frac{b}{2})^2=(\frac{-8}{2})^2=16$

$\implies x^2-8x+16=-4+16$

Factor the left side and simplify the right side:

$\implies (x-4)^2=12$

Square root both sides:

$\implies x-4=\pm\sqrt{12}$

Add 4 to both sides and simplify the radical:

$\implies x=4\pm\sqrt{4 \cdot 3}$

$\implies x=4\pm\sqrt{4}\sqrt{3}$

$\implies x=4\pm2\sqrt{3}$

5 0

2 years ago