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Mathematics

1 answer:

Butoxors [25]2 years ago

7 0

Answer:

25 miles per gallon just look at the graph and simplify the slop of 50/2

for 9 gallons, 225 miles

multiply the rate by the # of gallons:9*25

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Please show me How to do this number

VARVARA [1.3K]

Ok, so you have the range correct. It is 120<___<150 (It should be less than or equal to, but there's no symbol for that, to my knowledge.) But the term in the middle shouldn't be .25x The reason is because that actually quadruples the price in the end, as you seem to have found out. Rather, instead of multiplying x by .25, multiply the numbers in the range by .75. Here's why: When you reduce something in price by 25%, you are paying for 75% of the original price. Not 25%. That would be a 75% discount. So, in all actuality,your answer would be $90

6 0

3 years ago

Rewrite the form In exponential form: Log100 = x

andrey2020 [161]

Answer:

$10^x=100$

Step-by-step explanation:

You know how subtraction is the opposite of addition and division is the opposite of multiplication? A logarithm is the opposite of an exponent. You know how you can rewrite the equation 3 + 2 = 5 as 5 - 3 = 2, or the equation 3 × 2 = 6 as 6 ÷ 3 = 2? This is really useful when one of those numbers on the left is unknown. 3 + _ = 8 can be rewritten as 8 - 3 = _, 4 × _ = 12 can be rewritten as 12 ÷ 4 = _. We get all our knowns on one side and our unknown by itself on the other, and the rest is computation.

We know that $3^2=9$ ; as a logarithm, the exponent gets moved to its own side of the equation, and we write the equation like this: $\log_3{9}=2$ , which you read as "the logarithm base 3 of 9 is 2." You could also read it as "the power you need to raise 3 to to get 9 is 2."

One historical quirk: because we use the decimal system, it's assumed that an expression like $\log1000$ uses base 10, and you'd interpret it as "What power do I raise 10 to to get 1000?"

The expression $\log100=x$ means "the power you need to raise 10 to to get 100 is x," or, rearranging: "10 to the x is equal to 100," which in symbols is $10^x=100$ .