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2 years ago

Solve the system of equations below y = 2x + 6 2x - 3y = 6

Mathematics

1 answer:

rusak2 [61]2 years ago

4 0

Answer:

1. Slope = 42.667/2.000 = 21.333

2. x-intercept = 6/64 = 3/32 = 0.09375

3. y-intercept = 6/-3 = 2/-1 = -2.00000

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The function f(x) = 5One-fifth is reflected over the y-axis. Which equations represent the reflected function? Select two option

postnew [5]

Answer:

The equations that represent the reflected function are

$f(x)=5(\frac{1}{5})^{-x}$

$f(x)=5(5)^{x}$

Step-by-step explanation:

The correct question in the attached figure

we have the function

$f(x)=5(\frac{1}{5})^{x}$

we know that

A reflection across the y-axis interchanges positive x-values with negative x-values, swapping x and −x.

therefore

$f(−x) = f(x).$

The reflection of the given function across the y-axis will be equal to

(Remember interchanges positive x-values with negative x-values)

$f(x)=5(\frac{1}{5})^{-x}$

An equivalent form will be

$f(x)=5(\frac{1}{5})^{(-1)(x)}=5[(\frac{1}{5})^{-1})]^{x}=5(5)^{x}$

therefore

The equations that represent the reflected function are

$f(x)=5(\frac{1}{5})^{-x}$

$f(x)=5(5)^{x}$

9 0

2 years ago

Read 2 more answers

Find a cubic function f(x) = ax^3 + bx^2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 a

Ahat [919]

Answer:

f(x) = (3x³ + 9x² - 27x + 15)/32

Step-by-step explanation:

f'(x) = 3ax² + 2bx + c

Maximum or minimum: f'(x) = 0

Maximum: f'(-3) = 0 and f(-3) = 3

Minimum: f'(1) = 0 and f(1) = 0

f'(-3) = 0 leads 27a - 6b + c = 0 (1)

f'(1) = 0 leads 3a + 2b + c = 0 (2)

f(-3) = 3 leads -27a + 9b -3c + d = 3 (3)

f(1) = 0 leads a + b + c + d = 0 (4)

(1) - (2): 24a - 8b = 0, or 3a - b = 0, b = 3a

(3) - (4) -28a + 8b - 4c = 3 (5)

(1) * 4 + (5): 80a - 16b = 3,

use b = 3a, get 80a - 16*3a = 3, 32a = 3, a = 3/32, b = 3a = 9/32

From (2): c = -3a - 2b = -9/32 - 18/32 = -27/32

From (4): d = -a - b - c = -3/32 - 9/32 + 27/32 = 15/32

f(x) = (3x³ + 9x² - 27x + 15)/32

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2 years ago

Write a story problem to go with the multiplication problem 3 x 7/8.<br> Then, solve the problem.

weeeeeb [17]

Multiple 3 by 7 it would be 21 so 21 over 8 evaluate it .it will be2.625 the answer is 2.625 hope this helps you good luck

3 0

3 years ago

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In a test of corrosion resistance, a sample of 62 Incoloy steel specimens were immersed in acidified brine for 4 hours, after wh

Dmitry [639]

Answer:

p-value = 0.0063

Step-by-step explanation:

PLEASE CHECK ATTACHMENT FOR COMPLETE SOLUTION AND STEP BY STEP EXPLANATION

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3 years ago

F(x)=(x+2)^3-4<br> What is the slope?

kipiarov [429]

Use the slope-intercept y=mx+b to find slope
Slope=m
M=3

4 0

2 years ago

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