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3 years ago

Find the inverse of y = In2x.

Mathematics

1 answer:

Amanda [17]3 years ago

7 0

Step-by-step explanation:

y=2x

interchanging the role of x andy

x=2y

y=x/2

:.inverse of y=2xis y=x/2

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The rectangle below has an area of x² – 6x – 7 square meters and a width of 3 – 7 meters.

natta225 [31]

Answer:

The expression which represent the length of the rectangle is x + 1

Step-by-step explanation:

Given as :

The Area of rectangle = x² - 6 x - 7 square meters

The width of the rectangle = w = x - 7 meters

Let The length of rectangle = L meters

Now, <u>According to question</u>

∵ Area of Rectangle = Length × width

or, x² - 6 x - 7 meters² = L meters × w meters

or, x² - 6 x - 7 = L × (x - 7)

or, x² - 7 x + x - 7 = L × (x - 7)

or, x (x - 7) + 1 (x - 7) = L × (x - 7)

or, (x - 7) (x + 1) = L × (x - 7)

∴ L = $\frac{(x - 7)\times (x + 1)}{(x - 7)}$

I,e L = x + 1

So, The length of rectangle = L = x + 1

Hence,The expression which represent the length of the rectangle is x + 1 Answer

8 0

2 years ago

If a(x + 1) + b(x − 1) − 2 = 0 for all real x, then a =

jek_recluse [69]

Answer:

D) 1

Step-by-step explanation:

using the distributive property we have ax+a+bx-b-2=0. because the equation is true for all real x, ax=-bx. this means a-b-2=0 and a=-b. a-b-2=0 becomes a=b+2. then we substitute a for -b and get -b=b+2 which becomes 2b=-2 so b=-1. since a=-b, a=1

7 0

3 years ago

10 POINTS<br> Find x. Assume that segments that appear tangent are tangent.

mixas84 [53]

Answer:

Step-by-step explanation:

see explanation, use tangent property to solve question

4 0

3 years ago

Write the set of real numbers from - 10 through 10 in interval notation.

Klio2033 [76]

Answer:

1) $(-10,10)$ - Greater than -10 and less than 10.

2) $[-10, 10]$ - Greater than or equal to -10 and less than or equal to 10.

3) $[-10, 10)$ - Greater than or equal to -10 and less than 10.

4) $(-10, 10]$ Greater than -10 and less than or equal to 10.

Step-by-step explanation:

There are four form of describing that set in interval notation, which presented below:

1) $(-10,10)$ - Greater than -10 and less than 10.

2) $[-10, 10]$ - Greater than or equal to -10 and less than or equal to 10.

3) $[-10, 10)$ - Greater than or equal to -10 and less than 10.

4) $(-10, 10]$ Greater than -10 and less than or equal to 10.

8 0

3 years ago

Which costs more per gallon? 5 gallons for $12.50 or 11 gallons for $26.40

Effectus [21]

Answer: 5

Step-by-step explanation:

If;

5 gallons = $12.50 / 5 = $2.50/gallon

11 gallons = $26.40 / 11 = $2.40/gallon

In conclusion, 5 gallons cost more per gallon than 11.

6 0

3 years ago