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babunello [35]
3 years ago
12

Greatest common factor for 28y^7x^4u^3 and 8x^4u^5

Mathematics
1 answer:
Nataly [62]3 years ago
3 0

Answer:

Step-by-step explanation:

28y^{7} *x^{4} *u^{3} \\8x^{4} *u^{5}

rewrite those 2 terms to better see what they have in common

4*7 *x^{4} *u^{3} *y^{7} \\4*2*x^{4}*u^{3}  *u^{2}

because, 4*7 =28, 4*2=8, u³*u² =u^5, and multiplication is commutative

The greatest common factor is:

4x^{4} u^{3}

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Alenkasestr [34]

Answer:

The domain is t ≥ 0

The range is D ≥ 0

Step-by-step explanation:

rate = \frac{distance}{time}

D(t) = 100t + d₀

t is the time measured in hours.

d₀ is the initial position of the train.

We can assume the distance they go is not negative so...

The domain is t ≥ 0

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8 0
2 years ago
This hyperbola is centered at theorigin. Find its equation.Foci: (-2,0) and (2,0)Vertices: (-1,0) and (1,0)
beks73 [17]

SOLUTION

From the question, the center of the hyperbola is

\begin{gathered} (h,k),\text{ which is } \\ (0,0) \end{gathered}

a is the distance between the center to vertex, which is -1 or 1, and

c is the distance between the center to foci, which is -2 or 2.

b is given as

\begin{gathered} b^2=c^2-a^2 \\ b^2=2^2-1^2 \\ b=\sqrt[]{3} \end{gathered}

But equation of a hyperbola is given as

\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1

Substituting the values of a, b, h and k, we have

\begin{gathered} \frac{(x-0)^2}{1^2}-\frac{(y-0)^2}{\sqrt[]{3}^2}=1 \\ \frac{x^2}{1}-\frac{y^2}{3}=1 \end{gathered}

Hence the answer is

\frac{x^2}{1}-\frac{y^2}{3}=1

5 0
1 year ago
Change 2x-y=-4 into slope-intercept form with steps
Art [367]

Answer:

Y=2x+4

Step-by-step explanation:

2x-y=-4

subtract 2x

-y=-2x-4

divide by -1

y=2x+4

3 0
3 years ago
You and three of your friends go out to dinner during the break.the check comes to 131.85$ you all decide to leave a 20% tip for
almond37 [142]

Answer:

$105.48

Step-by-step explanation:

Multiply 131.85 by 0.2 to get 20% of 131.85.

You will get 26.37.

Since it is 4 people, multiply by 4.

You will get $105.48.

4 0
3 years ago
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leonid [27]
<span>4*5/2 = 10
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