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miss Akunina [59]
3 years ago
5

Help me with this problem

Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0

Answer:

x = -59/66

Step-by-step explanation:

Solve for x over the real numbers:

log(7) - log(x + 1) = log(66)

Subtract log(7) from both sides:

-log(x + 1) = log(66) - log(7)

Multiply both sides by -1:

log(x + 1) = log(7) - log(66)

log(7) - log(66) = log(7) + log(1/66) = log(7) + log(1/66) = log(7/66) = log(7/66):

log(x + 1) = log(7/66)

Cancel logarithms by taking exp of both sides:

x + 1 = 7/66

Subtract 1 from both sides:

Answer:  x = -59/66

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A thermometer is taken from a room where the temperature is 23oC to the outdoors, where the temperature is −9oC. After one minut
Helga [31]

Answer:

(a)\ 15\textdegree C\\(b)\ After\ 3\ minutes\ and\ 52.5\ Seconds\ from\ start

Step-by-step explanation:

Temperature in the room =23\textdegree C

Decrease in the temperature(outdoors)=23-15=8\textdegree C in 1\ minute.

Rate of decrease=8\textdegree C/minute

Let\ after\ x\ minutes\ temperature\ is\ y\\y=23-8x\ \ \ \ y\geq -9\textdegree C

(a) After 4\ more\ minutes\ total\ time\ is=1+4=5\ minutes

y=23-5\times 8\\y=-17\\

But it is not possible as outdoor temperature is -9\textdegree C so after -9\textdegree C temperature decrease will not occur.

Hence after 4 more minutes temperature=-9\textdegree C

(b) Let after t\ minutes temperature is -8\textdegree C

Here x=t,\ y=-8\textdegree C

-8=23-8x\\8x=23+8\\8x=31\\x=\frac{31}{8}\\x=3.875\ minutes=3\ minutes\ and\ 52.5\ seconds

3 0
3 years ago
Can you check my answers and help with number 3?
mamaluj [8]

Answer: Question 1 :B,D.

Question 2:option B,

Question 3:Degree=5.

Question 4:option D.

Question 5: option c.


Step-by-step explanation:

1) A polynomial can not have any exponent as a variable or a fraction.

Options B and D are polynomials.

2) The polynomial is having 3 terms and is of degree 3.so it is a cubic trinomial Option B.

3) Degree is the highest power of the variables in the terms .The term 6x^{3} y^{2} has the power=3+2=5

So degree =5.

4)(5x-2+3x^{2} )+(4x+3)=3x^{2} +5x+4x-2+3=3x^{2}+9x+1.

Option D


5)(5x^{2} +2x-5)-(3x^{2}+3x+1)= 5x^{2}+2x-5-3 x^{2}-3x-1

Simplifying like terms,

=2x^{2}-x-6.

Option c.


6 0
3 years ago
10 bags of chips and 8 soda cans cost $15. 5 bags of chips and 5 soda cans cost $8. How much does a bag of chips cost? How much
juin [17]
I just had the answer but then forgot
6 0
3 years ago
Read 2 more answers
If f(7) = 22, then f^-1(22) = [?]​
s2008m [1.1K]

The required value of the given inverse function f⁻¹(22) will be 7.

<h3>What is an inverse function?</h3>

The inverse function is defined as a function obtained by reversing the given function.

Given that f(7) = 22

To determine the value of the given inverse function f⁻¹(22)

An inverse function's main objective is to show the value that occurs in a specific function value. Which means :

If we have f(x) and f⁻¹(x), then

if f(a) = b then f⁻¹(b) = a

As per the given question, we have

⇒ f(7) = 22 then f⁻¹(22) = 7

Therefore, the required value of the given inverse function f⁻¹(22) will be 7.

Learn more about inverse functions here:

brainly.com/question/2541698

#SPJ1

8 0
1 year ago
Write the equation of the graph shown below in factored form.
Marizza181 [45]
F(x) = (x − 1)(x − 2)(x − 3)
8 0
4 years ago
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