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3 years ago

3/8 mile in 3/4 hour

Mathematics

1 answer:

Elena-2011 [213]3 years ago

5 0

Answer:

1/8

Step-by-step explanation:

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Right inequalities to represent the situations below to get the 10% discount a shopper must spend at least $300 USD to represent

vladimir2022 [97]

Answer:

D≥300

Step-by-step explanation:

8 0

3 years ago

Which could be the first step in simplifying this expression? Check all that apply. (x cubed x Superscript negative 6 Baseline)

PtichkaEL [24]

Answer:

$(x^{-3} )^{2}$

$x^6 x^{-12}$

Step-by-step explanation:

$(x^{3} x^{-6} )^{2}$ is the expression given to be solved.

First of all let us have a look at 3 formulas:

$1.\ p^a \times p^b = p^{(a+b)}\\2.\ (p^a \times q^b)^c = (p^{a})^c \times (q^{b})^c\\3.\ (p^a)^b = p^{a\times b}$

Both the formula can be applied to the expression( $(x^{3} x^{-6} )^{2}$ ) during the first step while solving it.

Applying formula (1):

$(x^{3} x^{-6} )^{2}$

Comparing the terms of $(x^{3} x^{-6} )$ with $p^a \times p^b$

$p=x, a =3, b=-6$

$\Rightarrow x^{3+(-6)}\\\Rightarrow x^{3-6}\\\Rightarrow x^{-3}$

So, $(x^{3} x^{-6} )^{2}$ is reduced to $(x^{-3} )^{2}$

Applying formula (2):

Comparing the terms of $(x^{3} x^{-6} )^{2}$ with $(p^a \times q^b)^c$

$p=q=x, a =3, b=-6, c=2$

$\Rightarrow (x^{3})^2\times (x^{-6})^2\\\text{Applying Formula (3)}\\x^6 x^{-12}$

So, $(x^{3} x^{-6} )^{2}$ is reduced to $x^6 x^{-12}$ .

So, the answers can be:

$(x^{-3} )^{2}$

$x^6 x^{-12}$

8 0

3 years ago

Please complete z2+9z-90=(z-6)(z+?) ...?

notka56 [123]

The answer is: (z - 6)(z + 15)

z² + 9z - 90 = z*z + 15z - 6z - 6*15 =
= (z*z + 15z) - (6z + 6*15) =
= z(z + 15) - 6(z + 15) =
= (z - 6)(z + 15)

4 0

3 years ago

Read 2 more answers

Given s(x) = 2x - 3 and t(x) = 5x + 4. Find the formula and domain for v(x) = s (x) / t (x) and w(x) = t (x) / s (x)

Liula [17]

V(x) = (2x - 3)/(5x + 4)
The domain is all Real numbers except x = -4/5, because if x = -4/5 the denominator would be zero and you cannot divide by zero.
{x | x ∈ R, x ≠ -4/5}

w(x) = (5x + 4)/(2x - 3)
similarly, x ≠ 3/2
so, {x| x ∈ R, x ≠ 3/2}

8 0

3 years ago

Read 2 more answers

A company that makes nails finds that it would sell 42 boxes of nails per month if they are priced at $20 per box. If the compan

denpristay [2]

The answer is D.

If x = number of boxes sold and y = price of nails box, then it is best represented by the equation y = 62 - x.
Checking:
If y = 20 and x = 42,
20 = 62 - 42
20 = 20

If y = 10 and x = 52.
10 = 62 - 52
10 = 10

Thank you for posting your question. I hope you found you were after. Please feel free to ask me another.

8 0

3 years ago