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3 years ago

In general, the y intercept of the function F(x)= a•b^x is the point

Mathematics

1 answer:

serg [7]3 years ago

4 0

The y intercept of this function is always (0, a).

This is because when we place 0 in for x (which is the only way it'll be on the y-axis, we get 'a' as a result. This is because of the rule that raising anything to the 0th power will result in the number 1 and multiplying anything by 1 gives us the same number. See the work below for the example.

F(x) = a*b^x

F(0) = a*b^0

F(0) = a*1

F(0) = a

And for an example with a random number, we'll use a = 5 and b = 3

F(x) = 5*3^x

F(0) = 5*3^0

F(0) = 5*1

F(0) = 5

No matter what a and b equal, the intercept will be the a value.

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After reading a book foe English class, 100 students were asked whether or not they enjoyed it. Nine twenty-fifths of the class

Katena32 [7]

Answer:

The number of students who liked the book was 64.

Step-by-step explanation:

After reading a book for English class, 100 students were asked whether or not they enjoyed it.

Now, given that nine twenty-fifths of the class did not like the book.

So, $\frac{9}{25}$ of the whole class did not like the book.

Then, the fraction of the class who did like the book was $(1 - \frac{9}{25}) = \frac{16}{25}$ .

Therefore, the number of students who liked the book was $(100 \times \frac{16}{25}) = 64$ . (Answer)

7 0

3 years ago

An organization has members who possess IQs in the top 4% of the population. If IQs are normally distributed, with a mean of 100

murzikaleks [220]

Answer:

The minimum IQ score will be "126".

Step-by-step explanation:

The given values are:

Mean

$\mu = 100$

Standard deviation

$\sigma=15$

Now,

⇒ $P(z>x)=4 \ percent \ i.e., 0.04$

⇒ $P(z>\frac{x- \mu}{\sigma} )=0.04$

⇒ $1-P(z \leq \frac{x-100}{15})=0.04$

⇒ $\frac{x-100}{15}=z0.96$

$=NORMDIS(z=0.96)$

$=1.751$

⇒ $x=100+15\times 1.751$

$=126.265 \ i.e., 126$

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3 years ago

On the last three chemistryexams a student scored 87, 88, and 89. What score must the student earn on the next exam to have an

hammer [34]

Answer:96%

Step-by-step explanation: 4 x 90 = 360, 87 + 88 + 89 = 264, 360 - 264 = 96

4 0

3 years ago

A truck that can carry no more than 6500 lb is being used to transport refrigerators and upright pianos. Each refrigerator weigh

anyanavicka [17]

Answer:

Equation: 300x+425y= 6500 (if you assume that you would get an exact total)

Answer: Yes, 11 refridgerators and 9 pianos will overload the truck because 11x300=3,300 and 9x425=3,825 which in total equals 7,125, which is way too much for the truck.

An equation that works: 300(10)+425(8)=

Step-by-step explanation:

If each refrigerator is 300 pounds and we need to see if 11 would fit on the truck, multiply 300 times 11 which equals 3,300. Next repeat the same step but for the pianos… 425 times 9 which equals 3,825 now you add. You should get 7,125, meaning this ratio is way to large for the truck to carry.

Since this does not work we should try take away one of each. So let’s say the new rati is 10 refrigerators to 8 pianos. We would repeat the same steps from above. 10x300=3,000 8x425=3,400

If we add these, we get 6,400 so the final expression would be 300(10)+425(8)=6,400 which would be the closest the the most you can transport on the truck.

Sorry if this was not the answer you were looking for, I may have misinterpreted the question.

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2 years ago

(6x2 - 4x + 11) + ( 4 - x2 – 3x)

Vadim26 [7]

The answer is 27 -9x

5 0

3 years ago

Read 2 more answers