3 years ago

For brainly and points thank you

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

3 0

Answer: A

Step-by-step explanation:

Subtract 2 from both sides of the equation ,

Simplify , Subtract the numbers , 9x from both sides of the equation, Combine like terms, Divide both sides of the equation by the same term, then you get your solution! I hope this helps.

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Catie is trying to determine the height that a ladder reaches as it leans against a wall. She walks under the ladder and touches

brilliants [131]

18.56 feet
Catie creates a similar triangle with the ladder so we can create a proportion to solve for the height.
$\frac{baseto feet}{base to wall} = \frac{catie height}{wall height}$
Convert all values to feet . 16in = 1.33 ft . 5ft 6 in = 5.5 ft
Insert values into proportions
$\frac{1.33}{4.5} = \frac{5.5}{x}$
Cross multiply to get
24.75=1.33x
divide both sides by 1.33
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3 years ago

What is the inverse of the following function? <br> y= 2^x + 3

fiasKO [112]

Answer:

Option B: $y=log_2(x-3)$

Step-by-step explanation:

To obtain the inverse of the function $y= 2^x + 3$ , you need to solve the equation for the variable "x":

$y= 2^x + 3\\\\y-3=2^x\\\\log_2(y-3)=log_2(2^x)\\\\x=log_2(y-3)$

Now you need to exchange the variable "x" with the variable "y". Then:

$y=log_2(x-3)$

Finally, you get that the inverse of the function $y= 2^x + 3$ is:

$y=log_2(x-3)$

This matches with the option B.

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3 years ago

Nick is now seven times as old as Harry. In 6 years, Nick will be five times as old as Harry. How old will Harry be in 6 years?

Papessa [141]

<span>Let x represent Harry's age now, and Nick's age now is 7x. [t]
In 6 years, Harry is x + 6 , and it is given that Nick's age will be 5(x+6). [t+6]

Combining [t] and [t+6], 7x + 6 = 5(x+6).
So the formula 7x + 6 = 5(x+6) represents the problem.

And x = 12 , so Harry's age in 6 years will be x +6 or 18 years .

I hope this helps!</span>

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