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scoray [572]
3 years ago
9

Help me please I’m so confused ):

Mathematics
1 answer:
Marrrta [24]3 years ago
4 0
The domain is all the x-values you can use with this function. When dealing with a function like this, you need to ask yourself, what would make the bottom equal to 0? Whatever those numbers are, you do NOT want them in your domain.

A fundamental rule is that you cannot divide by 0 or have 0 as a denominator.

So, you solve x^2+6x=0 to find that x=0 or x=-6 would make the denominator 0.

The domain is everything BUT those two values, because they essentially break your function.
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Plz ASAP
kirza4 [7]

forget the numerator of the fraction for now; the x to-the-power    -3/6    is equal to x to-the-power    -1/2    -- x^(-1/2)

use the rule a^-b= 1/(a^b)

to get:     x to-the-power  -(-1/2) which = x^1/2

7 0
4 years ago
Find an equation of the tangent line to the curve at the given point. y = x3 − 3x + 2, (3, 20)
lisov135 [29]

Answer:

y - 20 = 24(x - 3)

Step-by-step explanation:

Equation of a line:

The equation of a line, in point-slope form, has the following format:

y - y_0 = m(x - x_0)

In which the point is (x_0,y_0) and the slope is m.

(3, 20)

This means that x_0 = 3, y_0 = 20. So

y - y_0 = m(x - x_0)

y - 20 = m(x - 3)

Slope:

The slope is the derivative of the function at the point:

The function is:

y = x^3 - 3x + 2

The derivative is:

y^{\prime}(x) = 3x^2 - 3

At the point, we have that x = 3. So

m = y^{\prime}(3) = 3*3^2 - 3 = 27 - 3 = 24

So the equation to the tangent line to the curve a the point is:

y - 20 = 24(x - 3)

8 0
3 years ago
Which unit rate is the lowest price per ounce?
marin [14]

Answer:

Choice B

Step-by-step explanation:

Divide both of the choices by the price and ounces. You will find that the unit rate of choice B is lower.

Work

3.49/25=0.14

4.79/45=0.106

Therefore choice B has the lowest unit rate and that is the answer!

8 0
3 years ago
Can someone help me with this problem? thank you!
Ostrovityanka [42]

\qquad\qquad\huge\underline{{\sf Answer}}

Let's solve ~

\qquad \sf  \dashrightarrow \: c = \pi d

  • where, d = 2r = 2 × 5 = 10 cm

\qquad \sf  \dashrightarrow \: c = 3.14 \times 10

\qquad \sf  \dashrightarrow \: c = 31.4  \: cm

4 0
2 years ago
Read 2 more answers
Flaws in a carpet tend to occur randomly and independently at a rate of one every 270 square feet. What is the probability that
Goryan [66]

Answer:

Probabilty= 0.0015355

Step-by-step explanation:

Flaws in a carpet tend to occur randomly and independently at a rate of one every 270 square feet.

Probabilty= 1/270

Probabilty= 0.0037

carpet that is 8 feet by 14 feet

Area=8*14

Area=112 square feet

Probabilty= 0.0037*(112/270)

Probabilty= 0.0037*0.415

Probabilty= 0.0015355

7 0
3 years ago
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