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Naily [24]
3 years ago
6

In a long distance race, Adele ran 5 fewer kilometers than twice the number than Bryce ran. Together they ran at least 43 km. Wh

at is the least number of kilometers that Adele ran?
Mathematics
1 answer:
zheka24 [161]3 years ago
4 0

Answer: The least number that Adele ran is 16 km.

Step-by-step explanation:

(2x- 5)+x≥ 43

    + 5   +5

3x ≥ 48

x≥ 16

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What is the equation of the horizontal asymptote? f(x)=4(52)x+7<br> y=?
natta225 [31]

ANSWER

y=7

EXPLANATION

The horizontal asymptote of an exponential function

f(x)= a {(b)}^{x}  + c

is y=c.

The given exponential function is

f(x)= 4 {(52)}^{x}  + 7

When we compare to

f(x)= a {(b)}^{x}  + c

c=7, therefore the horizontal asymptote is y=7.

4 0
3 years ago
If 6^4x = 82, what is the value of x?<br> Round your answer to three places.
neonofarm [45]

Answer:

x=0.61485921

Step-by-step explanation:

The given equation is in exponential form:

6^{4x} =82

To find x we need to write it in logarithmic form:

b^{a} =n ⇒ log_{b} n=a

6^{4x} =82 ⇒ log_{ 6 }  82=4x

           2.45943684 = 4x

              \frac{2.45943684}{4} = x

           0.61485921 =x

To prove this, we can substitute the value into the given equation

             6^{4x} =82

6^{4(0.61485921)} =82

               82=82

Therefore, the answer is x=0.61485921

6 0
2 years ago
PLZ HELP! 10 points
garri49 [273]

Answer:

i believe it is y=4x+1

Step-by-step explanation:

y intercept is 1, slope is up 4 over 1

sorry if im wrong, hope this helps :)

5 0
3 years ago
A shopper’s discount club charges a monthly fee of $15 and sells gasoline for $2.05 per gallon. The gas station across the stree
NeX [460]

Answer:

15 + 2.05 x = 2.35 x

Step-by-step explanation:

Let x be the number of gallons you would have to buy for the two places to be the same.

At the club, there is a monthly fee of $15 that is charged once in a month. They also charge $2.05 per gallon, which is charged every gallon of gas you buy.

We can write an expression: 15 + 2.05 x

At the gas station, they charge $2.35 per gallon with no other fees.

We can also write an expression: 2.35 x

For the prices to be the same, we have 15 + 2.05 x = 2.35 x

If we were to solve, then we have:

(2.35 - 2.05) x = 15

x = 15 / 0.3 = 50 gallons

8 0
3 years ago
If a dies is rolled one time, find these probabilities. getting a number less than or equal to 4
trapecia [35]
Hi there!

So let's see, we have a die and need to know the probability of rolling a number less than or equal to 4. Let's list the numbers that are less than or equal to 4: 1, 2, 3, 4. Now, since we know that there are 6 numbers on a die and 4 of them are less than or equal to 4, we can set up a fraction to find the percentage. The fraction would be 4/6 because 4 out of the 6 numbers on the die are less than or equal to 6. We can simplify 4/6 to 2/3 as well. To find the percentage, all we need to do is divide the numerator by the denominator. This leaves us with approximately 66.66%.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
5 0
3 years ago
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