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3 years ago

6

Identify the equivalent of:

2 answers:

Olenka [21]3 years ago

8 0

none are correct. the right answer is 4y=16x-8 is equivalent to y=4x-2

ioda3 years ago

7 0

4y=16x-8
4y-16x=-8
-4y+16x=8
A is the correct answer, 8=-4y+16x

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Indicate in standard form the equation of the line passing through the given points.

Lynna [10]

(-2,2)(5,1)

slope(m) = (1 - 2) / (5 - (-2) = -1 / 7

y = mx + b
slope(m) = -1/7
use either of ur points....(5,1)....x = 5 and y = 1
now sub and find b, the y int
1 = -1/7(5) + b
1 = -5/7 + b
1 + 5/7 = b
7/7 + 5/7 = b
12/7 = b

equation is : y = -1/7x + 12/7....but we need it in standard form...

y = -1/7x + 12/7
1/7x + y = 12/7
x + 7y = 12 <== standard form

5 0

3 years ago

Read 2 more answers

A. When comparing the "# of Bacteria" each hour, what is the number being multiplied by each time? *

LenaWriter [7]

Answer:

Part a) The number is 8

Part b) The initial number of bacteria is 4

Part c) $y=4(8)^x$

Part d) $y=100(8)^x$

Step-by-step explanation:

we know that

The equation of a exponential function is equal to

$y=a(b)^x$

where

y is the number of bacteria

x is the time in hours

b is the base of the exponential function

a is the initial number of bacteria

Part a) When comparing the "# of Bacteria" each hour, what is the number being multiplied by each time?

we know that

For x=1 h ----> y=32 bacteria

For x=2 h ----> y=256 bacteria

For x=3 h ----> y=2,048 bacteria

For x=4 h ----> y=16,384 bacteria

For x=5 h ----> y=131,072 bacteria

For x=6 h ----> y=1,048,576 bacteria

so

256/32=8

2,048/256=8

16,384\2,048=8

131,072/16,384=8

1,048,576\131,072=8

so

the base of the exponential function b is 8

Part b) What is the initial number of bacteria? (at time zero)

we know that

The number of bacteria at time x=1 hour , divided by the number of bacteria at time x=0 must be equal to 8 (see part a)

so

$\frac{32}{a}=8$

solve for a

$a=32/8=4\ bacteria$

Part c) Write a rule for this table

we have

$y=a(b)^x$

we have

$a=4\\b=8$

substitute

$y=4(8)^x$

Part d) Suppose you started with 100 bacteria, but they still grew by the same growth factor. Write the function rule for this situation

In this case

$a=100$

$b=8$ ---> the growth factor is the same

so

$y=100(8)^x$

6 0

3 years ago

Read 2 more answers

Which equation is equivalent to 2/3 x -5 / 6 equals -5 / 12 x + 1 / 4

cluponka [151]

Answer:

13x=13

Step-by-step explanation:

...............

6 0

3 years ago

There are two connected gears. One has 60 teeth and it makes 50 complete revolutions in a minute. How many complete revolutions

VikaD [51]

60/40 *50 = 75

75 revolutions

8 0

3 years ago

Does anyone know the answer?

Kazeer [188]

The answer is c. When the added number is outside of the radical it adds to the y, moving it up

4 0

3 years ago

Read 2 more answers