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2 years ago

How do you graph y=−x−2.

Mathematics

2 answers:

timofeeve [1]2 years ago

5 0

Isn’t that how you graph it? I’m confused about the question sorry!

Inessa [10]2 years ago

3 0

Y=-x-2 that is how you graph it

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What is the inverse of y= 10^x +8?

shepuryov [24]

Answer:

$x = \log_{10}(y - 8)$ , where $y > 8$ .

Step-by-step explanation:

The question is asking for an expression for $x$ in terms of $y$ .

The first step is to move as many constants away from the side with $x$ as possible. In this question, that could be done by subtracting $8$ from both sides of the equation.

$y - 8 = 10^{x} + 8 - 8$ .

$y - 8 = 10^{x}$ .

Notice how $x$ is in the position of an exponent. Logarithms could help move $x$ out of that position.

For any base $b > 0$ :

$\log_{b} b^{x} = x\, \log_{b}\, b = x$ .

In this question, $10$ would be the base. That is: $b = 10$ .

Take the logarithm (with $10$ as the base) of both sides of the equation $y - 8 = 10^{x}$ :

Left-hand side: $\log_{10} (y - 8)$ .
Right-hand side: $\log_{10} \left(10^{x}\right) = x\, \log_{10}\left(10\right) = x$ .

Equate both sides to find an expression for $x$ :

$x = \log_{10}(y - 8)$ .

6 0

2 years ago

Mei Su had 80 coins. She gave most of them to her friends in such a way that each of her friends got at least one coin and no tw

Mama L [17]

Answer: 12 friends.

Step-by-step explanation:

the data we have is:

Mei Su had 80 coins.

She gave the coins to her friends, in such a way that every friend got a different number of coins, then we have that:

The maximum number of friends that could have coins is when:

friend 1 got 1 coin

friend 2 got 2 coins

friend 3 got 3 coins

friend N got N coins

in such a way that:

(1 + 2 + 3 + ... + N) ≥ 79

I use 79 because "she gave most of the coins", not all.

We want to find the maximum possible N.

Then let's calculate:

1 + 2 + 3 + 4 + 5 = 15

15 + 6 + 7 + 8 + 9 + 10 = 55

now we are close, lets add by one number:

55 + 11 = 66

66 + 12 = 78

now, we can not add more because we will have a number larger than 80.

Then we have N = 12

This means that the maximum number of friends is 12.

5 0

3 years ago

Which is greater? 4 tenths and 2 hundredths or 2 tenths and 4 hundredths

Orlov [11]

4 tenths and 2 hundredths is written .42

2 tenths and 4 hundreds is written .24

.42 is greater than .24

.42 > .24

Hope this helps.

8 0

3 years ago

The formula

Tasya [4]

Answer

the answer is P=7.8

Step-by-step explanation:

P=14.7e -0.21x

X=14.7e (-0.63)

take the natrual log of both sides

1n(P)=1n(14.7e(-.63)

1n(P)=1n(14.7)-.63

(because ln(e^a) = a)

1n(P)=2.688 - .63

1n(P)=2.058

P=e 2.058

P=7.8

3 0

3 years ago

19) At a local river, there were 48 alligators lying on the riverbank. If of the alligators wereasleep, how many were not asleep

sergey [27]

19) 48 alligators; 7/8 of the alligators were asleep. How many were not asleep?

8/8 - 7/8 = 1/8
48 * 1/8 = 48/8 = 6 alligators were not asleep.

20) 2/3 of the student population participated. 1,500 is the student population of the school. HOw many attended the bike rally?

1500 * 2/3 = 1500*2 / 3= 3000 / 3 = 1000 students attended.

21) 18 times at bat:
Kayla 5/6 of the time = 18 * 5/6 = 18*5 / 6 = 90/6 = 15 hits
Tia 8/9 of the time = 18 * 8/9 = 18*8 / 9 = 144/9 = 16 hits

Tia got more hits.

3 0

3 years ago