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2 years ago

Y=1000x+b how do i solve for b?

Mathematics

1 answer:

Irina18 [472]2 years ago

6 0

Answer:

put it into a graphing calculator, the point where the line intercepts the y-axis would be B

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(1/27)^x-6=27 Could I please have a step by step as well? Much appreciated!

Andrei [34K]

Answer:

$x = 7$

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

$\frac{1}{ {27}^{x - 8} } = 27$

2) Multiply both sides by 27^x - 8.

$1 = {27} \times 27^{1 + x - 8}$

3) Use the product rule: x^a x^b = x^a+b.

$1 = {27}^{1 + x - 8}$

4) Simplify 1 + x - 8 to x - 7.

$1 = {27}^{x - 7}$

5) Use Definition of Common Logarithm: b^a = x if and only if logb (x) = a.

$log_{27}1 = x - 7$

6) Use Change of Base Rule.

$\frac{ log_1 }{ log{27} } = x - 7$

7) Use rule of 1: log 1 = 0.

$\frac{0}{ log_{27}} = x - 7$

8) Simplify 0/log_27 to 0.

$0 = x - 7$

9) Add 7 to both sides.

$7 = x$

10) Switch sides.

$x = 7$

Therefor, the answer is x = 7.

5 0

2 years ago

Which glide reflection describes the mapping triangle ABC triangleDEF?

ZanzabumX [31]

In order to visualize the transformations, we must execute the transformation in the options

The first transformation would shift triangle ABC 3 units to the left and reflect it across x = 4. This will not map ABC unto DEF.

The second transformation would shift triangle ABC 7 units down and reflect it across x =4. This will map ABC unto DEF,

So, the answer is the second option.

5 0

2 years ago

PLEASE HELP ILL GIVE BRAINLIEST

liq [111]

Answer:

Step-by-step explanation:

BecASUE D IS THE NEXT IN THE PATTERN.

8 0

2 years ago

A circular piece of wood has a circumference of exactly 60.5 inches. Which measurement is closest to the radius, in inches, of t

DochEvi [55]

Answer:

the answer is 95.0 i took the quiz Yesturday.

Step-by-step explanation:

3 0

1 year ago

If g(x) = 3(x − 2), find the value of x if g(x) = 6.

Ksivusya [100]

Kimm since the function is g(x) = 3(x-2) and we are given g(x)=6 That means: 6 = 3(x-2) Then we need to know what is x? 6 = 3x - 6 (distribute the 3) 12 = 3x (add 6 to both sides) 4 = x (divide both sides by 3)You can check it this way. Is g(4) = 3(4-2) = 6 ? 3*2 = 6

4 0

3 years ago