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3 years ago

If f(x) =15x 2 + 10x, find f(-1) Anyone know the answer?

1 answer:

7 0

I'm assuming the given function is f(x) = 15x^2 + 10x.

If so, then,

f(x) = 15x^2 + 10x
f(x) = 15*(x)^2 + 10*(x)
f(-1) = 15*(-1)^2 + 10*(-1) ... note how x is replaced with -1
f(-1) = 15*(1) + 10*(-1)
f(-1) = 15 - 10
f(-1) = 5

Therefore the answer is 5

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A new car depreciates as soon as you drive it out of the parking lot. A certain car depreciates to half its original value in 4

Alexandra [31]

Answer:

Original price of car = $20,000

Step-by-step explanation:

Let the original price of the car be 'x' dollars.

Given:

Here, the depreciation of the car is occuring exponentially as the value depreciates to half in every four years.

Worth of car after 8 years = $5000

Value after depreciation in 4 years = Half of original value = $\frac{x}{2}$

So, value of car after depreciation in another 4 years = Half of the value after 4 years = $\frac{1}{2}(\frac{x}{2})=\frac{x}{4}$

Therefore, final depreciated value after 8 years is $\frac{x}{4}$ .

But, as per question, final depreciated value is $5000. Thus,

$\frac{x}{4}=5000\\x=5000\times 4\\x=20000$

Therefore, the original price of the car was $20,000.

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2 years ago

The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 269 day

fenix001 [56]

Answer:

a) 279 b)254

Step-by-step explanation:

Mean = 269 days

standard deviation = 8 days

let n be the pregnancy lenght.

using normal distribution formula

z = (n – mean)/ standard deviation

n = z * standard deviation + mean

Now, z values for the top 12% has to be found using a z table.

The top 12% means 88% of area under the curve. In this case z = 1,176

n = 1,176 * 8 + 269

n = 278.4 = 279

The bottom 3% means 97% of area under the curve. In this case z = -1,882

n = -1,882 * 8 + 269

n = 253.94 = 254

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3 years ago

What method would best to solve x=5y. 2x-3y=7

ser-zykov [4K]

Answer:

substituting x=5y into 2x-3y=7, Answer: y = 1 x = 5

Step-by-step explanation:

2(5y)-3y=7

10y-3y=7

7y=7

y=1

substitute y=1 into x=5y

x=5(1)

x=5

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