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3 years ago

What is the domain of the function?

Mathematics

1 answer:

Semenov [28]3 years ago

3 0

There are no real roots of √x where x is negative.
so the domain is 0 ≤ x < ∞

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Find three positive consecutive integers such that the product of the smallest and the largest is 17 more than three times the m

trapecia [35]

There are two answers to this question
the first possible answer is 5, 6, and 7 and the second possible answer is -4, -3, and -2

Step-by-step explanation:

let the three numbers be (x-1), x, and (x+1)
the product of the smallest and largest number is 17 more than 3 times the middle number, or
(x-1)(x+1) = 3x+17, or
x^2-1 = 3+17, or
x^2-3x-18 = 0
(x-6)(x+3) = 0
So x = 6 or -3
Then just subtract one and add one to get the other integers. the three numbers are 5, 6, and 7 or -4, -3, and -2

3 0

3 years ago

A contractor is building a new subdivision on the outside of a city. He has started work on the first street and is planning for

sergeinik [125]

Answer:

x + y = 6

Step-by-step explanation:

Standard Form:

y - y1 = m(x - x1)

In this question, the coordinate is (1, 5) with a slope of -1 (the slope is the same as street 1 since street 2 is going to be parallel.

Insert the coordinate and slope into standard form and you'll get this:

y - 5 = -1 ( x - 1 )

y - 5 = -x + 1

y = -x + 6

y + x = 6

hope this helps.

5 0

4 years ago

What is 19 divided by 2 in decimals

Bingel [31]

19/2 = 9.5. Hope this helped.

3 0

4 years ago

Read 2 more answers

The length of chen's office is 15.5 feet and the width is 7.8 feet.Use the formula P=2L+2w to find the perimeter of the office.

vlada-n [284]

Answer:

p=46.6 feet

Step-by-step explanation:

formula:2l +2w. 2×15.5f. 2×7.8= 46.6 feet

8 0

3 years ago

The interest rate r required to increase investment p to amount a in t years is found using the formula r=(a/p)^1-t - 1. Find th

valkas [14]

The interest rate would be 20%.

The formula is derived from the compound interest formula

$A=p(1+r)^t$ .

We want to isolate r in this equation to rewrite the formula. The first thing we would cancel, outside parentheses, would be p; divide both sides by p and we have

$\frac{A}{p}=(1+r)^t$

We want to cancel the exponent, t, next. We can raise a power to its reciprocal to undo it; for example, raising a squared amount to the 1/2 power will undo the exponent. We will raise both sides of this to the 1/t power:

$(\frac{A}{p})^{\frac{1}{t}}=1+r$

Now we cancel the 1 by subtracting, giving us

$(\frac{A}{p})^{\frac{1}{t}}-1=r$

Using this formula, we plug in 3600 for A, 2500 for p and 2 for t:

4 0

4 years ago