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Inessa05 [86]
1 year ago
11

What is the inverse equation for h(x) = 2log(x-3) ?

Mathematics
1 answer:
marshall27 [118]1 year ago
8 0

Given the function:

h(x)=2log\left(x-3\right)

To find its inverse:

\begin{gathered} y=2log\left(x-3\right) \\ x=2log\left(y-3\right) \end{gathered}

solving for y:

\frac{x}{2}=log(y-3)\begin{gathered} 10^{\frac{x}{2}}=y-3 \\  \\ 10^{\frac{x}{2}}+3=y \end{gathered}

ANSWER

h^^{-1}(x)=10^{\frac{x}{2}}+3

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Elizabeth has 1 7/10 as many plants as Rosalie has in her arden. If Elizabeth has 51 plants, how many plants does Rosalie have i
dexar [7]

Question: Elizabeth has 1 7/10 as many plants as Rosalie has in her garden. If Elizabeth has 51 plants, how many plants does Rosalie have in her garden?

Answer: X=30

explanation:

1 7/10 can be rewritten as 1.7

x=amount of plants that Rosalie has

x=1.7/51

x=30

question answered by

(jacemorris04)

4 0
3 years ago
A map is drawn using a scale of 1cm/80mi
Setler79 [48]

Answer:

B) 3.5cm

Step-by-step explanation:

1/80 = n/280

1 * 280 = n * 80

280 = 80n

3.5 = n or n = 3.5

4 0
3 years ago
PLEASE IF YOU KNOW THE ANSWER comment below the answer
LenKa [72]

Answer:

46.2 square inches

Step-by-step explanation:

A parallelogram is a quadrilateral (4 sided closed figure) with 2 pair of parallel sides.

The diagram shown is a parallelogram.

Top and Bottom are parallel lines,

both sides are parallel lines (left and right).

The area for a parallelogram is given by:

Area = Base * Height

In the given figure, the base is clearly given as 4.2 inches

The height (perpendicular distance from base) is given as 11 inches.

<em><u /></em>

<em><u>So, basically we do not need the 11.7 inches length of side given.</u></em>

<em><u /></em>

Now, lets compute the area:

Area = base * height = 4.2 * 11 = 46.2 square inches

7 0
3 years ago
Which of the following could be the third side of an obtuse triangle with the other two side lengths of 6 and 7.
Nataly_w [17]
Pythagorean theorem.
a^2+b^2=c^2
6^2+7^2=c^2
36 + 49 = c^2
85 = c^2
sqrt of 85 = 9.22

So the best answer would be C. 9
4 0
3 years ago
At a large local university, 40% of the students live in the dormitories. A random sample of 80 students is selected for a parti
likoan [24]

Answer:

0.9325

Step-by-step explanation:

Given  

n = sample size = 80

p = probability = 0.4

q = 1 – p = 0..6

standard deviation for the proportion = √ (p * q) /n = √(0.4*0.6)/80 = 0.0547

for the proportion mean is 0.4

now we can find z and the probability  

P (0.3<mean<0.5) = P((0.3– 0.4)/0.0547 < z < (0.5– 0.4)/0.0547)

P (0.3<mean<0.5) = P(-1.828< z < 1.828)

Using a z table

P (0.3<mean<0.5) = 0.9325

7 0
3 years ago
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