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diamong [38]
2 years ago
12

Compared with the graph of the parent function,

Mathematics
1 answer:
Arada [10]2 years ago
5 0

Step-by-step explanation:

as I don't see any equations or graphs here I can only answer in general :

f(x) is the patent function.

g(x) is the transformed function.

g(x) = -6f(x-7)

the "-" reflects the curve over the x-axis (what was positive is now negative and vice versa).

the factor 6 stretches the curve up and down by the factor 6 (everything is now 6 times larger or smaller).

and the argument "x-7" relates x (for the new function) with "x-7", meaning that now things are happening at x, that were originally happening at x-7, so they happen now "later" (more to the right on the x-axis) than before - hence a shift to the right.

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Kate currently has an account balance of $7,194.66. She opened the account 21 years ago with a deposit of $2,978.41. If the inte
jolli1 [7]
Use the attached formula.
exp = [log (total / principal) / n*years]
where "n" is compounding periods per year
exp = [log (7,194.66 / 2,978.41) / (365*21)
exp = log ( <span> <span> <span> 2.4156042989 </span> </span> </span> ) / 7,665
exp = log ( <span> <span> 2.4156042989 </span> </span> ) / 7,665
exp = 0.38302579382 / 7,665
exp = <span> <span> <span> 0.00004997074935681670 </span> </span> </span>

rate = (10^exp -1)* n
rate = (10^<span>0.00004997074935681670 -1) * n
</span>rate = <span><span>(1.0001150685 </span> -1) * 365
</span>rate = <span>(.0001150685) * 365</span>
rate = <span> <span> <span> 0.0420000025 </span> </span> </span>
rate = <span>4.20000025 %
rate = 4.2 %

Yes, it's just that easy.  LOL


</span>

5 0
3 years ago
Read 2 more answers
What is the value of x in the equation 1/5x - 2/3y = 30, when y = 15?<br>4<br>8<br>80<br>200​
Alinara [238K]
X=200 1/5(200)-2/3(15)=30
3 0
3 years ago
Read 2 more answers
What is the y-intercept of a line that passes through (-3,3) and (1,-5)
shepuryov [24]

Answer:

The point-slope formula states:

(

y

−

y

1

)

=

m

(

x

−

x

1

)

Where

m

is the slope and

(

x

1

y

1

)

is a point the line passes through.

Substituting the slope and values from the point in the problem gives:

(

y

−

−

1

)

=

3

5

(

x

−

−

3

)

(

y

+

1

)

=

3

5

(

x

+

3

)

If you want the equation in the somewhat more familiar slope-intercept form we can solve this equation for

y

. The slope-intercept form of a linear equation is:

y

=

m

x

+

b

Where

m

is the slope and

b

is the y-intercept value.

y

+

1

=

(

3

5

⋅

x

)

+

(

3

5

⋅

3

)

y

+

1

=

3

5

x

+

9

5

y

+

1

−

1

=

3

5

x

+

9

5

−

1

y

+

0

=

3

5

x

+

9

5

−

5

5

y

=

3

5

x

+

4

5

The point-slope formula states:

(

y

−

y

1

)

=

m

(

x

−

x

1

)

Where

m

is the slope and

(

x

1

y

1

)

is a point the line passes through.

Substituting the slope and values from the point in the problem gives:

(

y

−

−

1

)

=

3

5

(

x

−

−

3

)

(

y

+

1

)

=

3

5

(

x

+

3

)

If you want the equation in the somewhat more familiar slope-intercept form we can solve this equation for

y

. The slope-intercept form of a linear equation is:

y

=

m

x

+

b

Where

m

is the slope and

b

is the y-intercept value.

y

+

1

=

(

3

5

⋅

x

)

+

(

3

5

⋅

3

)

y

+

1

=

3

5

x

+

9

5

y

+

1

−

1

=

3

5

x

+

9

5

−

1

y

+

0

=

3

5

x

+

9

5

−

5

5

y

=

3

5

x

+

4

5

Step-by-step explanation:

7 0
3 years ago
Which form most quickly reveals the vertex?
Jet001 [13]

Answer:

Step-by-step explanation:

A

A will give you the roots (the x intercepts) just by reading the numbers and doing a small adjustment.

x + 1 = 0

x = - 1            So one of the roots is (-1,0)

x + 5= 0

x = - 5           The other root is (-5,0)

A is not the answer.

B

I have graphed B so that you can see that A is true. See below, Even so, B is in standard form and it is not the answer.

C

The answer is C. The vertex is at 2,27

x - 2 = 0

x = 2

The maximum value is located at 27 which is just read.

That point (2,27) is plotted on the graph.

6 0
3 years ago
(b) it takes 44 pounds of seed to completely plant an 8
VikaD [51]

Answer:

5 pounds and 8 ounces of seed per one acre.

Step-by-step explanation:

We have our two values, 44 pounds and 8 acres.

It also says it takes 44 pounds of seed for every 8 acres of farmland.

So to get the value of how much seed per one acre we need, we divide 44 by 8.

Doing so yields us 5.5 pounds, which can be converted to 5 pounds and 8 ounces. (remember 16 ounces is 1 pound)

1) 0.0 + 5.5 = 5.5

2) 5.5 + 5.5 = 11.0

3) 11.0 + 5.5 = 16.5

4) 16.5 + 5.5 = 22.0

5) 22.0 + 5.5 = 27.5

6) 27.5 + 5.5 = 33.0

7) 33.0 + 5.5 = 38.5

8) 38.5 + 5.5 = 44.0

6 0
3 years ago
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