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3 years ago

If f(x) is defined as follows,

Mathematics

1 answer:

Phantasy [73]3 years ago

5 0

Answer: The required values are

f(-2) = 120, f(0) = 64 and f(1) = 84.

Step-by-step explanation: We are given the following function f(x) :

$f(x)=16x^2+4x+64~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to find the values of the following :

$(a)~f(-2),\\\\(b)~f(0),\\\\(c)~f(1).$

To find the values of the function at the given points, we need to substitute the corresponding values of x in equation (i).

Substituting x = -2 in equation (i), we get

$f(-2)=16\times(-2)^2+4\times(-2)+64=64-8+64=120.$

Substituting x = 0 in equation (i), we get

$f(0)=16\times0^2+4\times0+64=0+0+64=64.$

Substituting x = 1 in equation (i), we get

$f(1)=16\times1^2+4\times1+64=16+4+64=84.$

Thus, the required values are

f(-2) = 120, f(0) = 64 and f(1) = 84.

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Jeff's mother gave him money. he used an equal amount of money each day. at the end of the 7th day, he was left with 1/4 of how

skelet666 [1.2K]

Jeff received 280$ from his mother

Such questions are the simplest as it needs you to just write the conditions accordingly which then simplifies and provides you the answer.

This question can be solved using two tricks which are shown below:-

Trick 1 :

1 – 1/4 = 3/4 (used for the 1st 7 days)

1/4 – 410 (used for 8th and 9th days)

(3/4)/7 ——- (1/4 – 10)/2

(3/4) x (2/7) = 3/14 ——- (1/4 – 10)

1/4 – 3/14 = (7 – 6)/28 = 1/28 ——- 10

28/28 ——- 10 x 28 =$ 280

Trick 2 :

7 days ——- 3/4

1 day ——- 3/28

2 days ——- 6/28

6/28 ——- (1/4 – 10) = 7/28 – 410

1/28 ——- 10

28/28 ——- 10 x 28 = $280

Thus Jeff received 280$ from his mother.

Learn more about simple math here :

brainly.com/question/23678

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4 0

2 years ago

Suppose that prices of recently sold homes in one neighborhood have a mean of $215,000 with a standard deviation of $8900. Using

bonufazy [111]

Answer:

The minimum percentage of recently sold homes with prices between $197,200 and $232,800 is 75%.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by $100(1 - \frac{1}{k^{2}})$ .

In this question:

Mean of $215,000, standard deviation of $8900.

What is the minimum percentage of recently sold homes with prices between $197,200 and $232,800?

215000 - 2*8900 = 197200

215000 + 2*8900 = 232800

Within 2 standard deviations of the mean, so:

The minimum percentage of recently sold homes with prices between $197,200 and $232,800 is 75%.

4 0

3 years ago

You need 150g of flour for 12 cakes how much flour do you need

Vaselesa [24]

Answer:

12.5g for 1 cake, 150g for 12 cakes

Step-by-step explanation:

Because you need 150g for 12 cakes so 1 cake will take:

150 / 12 = 12.5g

So, You need 12.5g for 1 cake

Hope this help :3

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3 years ago

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mestny [16]

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3 years ago

The solution to the system of equations shown is (2, 0).

alexandr1967 [171]

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3 years ago

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