MATHEMATICS MIDDLE SCHOOL

In the problems below, f(x) = log₂x andg(x) = log₁₀x
Which point do the graphs of f and g have in common?

Answers

Answer 1
Answer:

Answer:

(1,0)

Step-by-step explanation:

The given functions are:

f(x) = log₂x

and

g(x) = log₁₀x

We know that logarithm of 1 is always zero.

This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1

Therefore the point the graphs of f and g have in common is (1,0)
Answer 2
Answer:

Answer:

B,C

(1,0)

F

Step-by-step explanation:

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A pencil at a stationery store costs $1, and a pen costs $1.50. Shawn spent $12 at the store. He bought a total of 9 items. Which system of equations can be used to find the number of pencils (x) and pens (y) he bought?

Answers

x= 3 pencils      3+6=9 items
y= 6 pens 
So, Shawn bought 3 pencils and 6 pens. 1 pen equals 1.50 and a pencil only costs a dollar and he spent 12 dollars so now if he bought 6 pens and 3 pencils that would equal 12.
9x=£9. 9y=13.50. It has to be an even number of y or you will get a decimal and 12 is not a decimal. 7x+2y=£10 5x+4y=£11. 3x+6y=£12 The answer is three pencils and 6 pens.

The value of the digit 4 in the number 42,780 is 10 times the value of the digit 4 in which number? The options are 34,651 or 146,703 or 426,135 or 510,400

Answers

Answer: 34,651


Step-by-step explanation:

Given number : 42,780

Here the place value of 4 is 40,000 or 4 ten thousand.

Let's check all the optins for the right answer.

The value of 4 in 34,651 is 4,000 or 4 thousand

and 40,000=10*4,000

Thus, 34,651 is the number in which the value of 4 is 10 times the value of 4 in  42,780.

Rest of the options are incorrect.
146,703 because the 4 is both in the same place, in the ten thousands place.

Erine wrote 5 checks for $35 each. what was the change in her checking account balance after writing these checks?

Answers

She had lost $175 from her bank account
You will find the answer when you times 5 by 35, as that is the change made to her checking account

Dustin and Melanie are playing a game, where two standard, six-sided number cubes are rolled, and the sum of their outcome is found. Each player gets a chance to guess the correct sum, and the player that guesses the correct sum wins. Dustin decides to guess a sum of six. Melanie decides to guess a sum of seven. Which player made the better decision

Answers

Answer:

Melanie.

Step-by-step explanation:

The possible ways of getting a 6 are (3,3), (2,4), (4,2), (1,5) and (5,1).

That is 5 ways.

The possible ways of getting a 7 are (1,6), (6,1), (5,2),( 2,5), (3, 4), (4,3).

That is 6 ways.

So Melanie made the better decision.

Plot 1 1/3 and 2 7/9

Answers

Answer:

I plotted them for you!

The first dot (closest to the left) is 1 1/3 and the one closest to the right is 2 7/9 :)

Step-by-step explanation:

Hope this helped :) good luck!

Which of the integers shown is the greatest : -22, -7,-5 or-3?

Answers

-3 as it is closest to 0 however the rest of the numbers are further away from the positive numbers.
-3 because it's closer to positive numbers. The rest of them are less closer to positive numbers.
hope that helped :)
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