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3 years ago

FACTOR OUT THE GCF: 6d^5-10d^2

Mathematics

1 answer:

Ainat [17]3 years ago

8 0

Answer:

GCF: 2d²

Step-by-step explanation:

Write out all the factors of 6:

-----------

6 1

3 2

Write all the factors of 10:

--------------

10 1

5 2

The GFC of both of those numbers is 2.

Since both numbers have a variable of d, and since they both have exponents, you can multiply both numbers by d², because there is at least one d² in each variable.

Your full answer would be: 2d²(3d³ - 5)

If you use foil, remember you don't multiply exponents, you add them.

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8 divided by 2 (2+2)

natulia [17]

Step-by-step explanation:

8 ÷ 2 × (2 + 2) = 16

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4 years ago

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Points A, B, and C are plotted on the unit circle.

Roman55 [17]

Answer:

Point B is equal to cos(160)

Step-by-step explanation:

160 deg is 160 deg counter-clockwise angle from +x-axis.

Hope this helps!

3 0

4 years ago

Mel Needs to park his car for eight hours. Spikes parking place charges five dollars per hour for the first three hours and thre

Dima020 [189]

Answer:

Spike's Parking
$5 less

Step-by-step explanation:

After 3 hours, Spike charges 6 dollars per hour. For 3 hours, the charge is only $5×3 = $15 (which is $3 less than $6×3). So the rate after 3 hours can be modeled by ...

s(h) = 6h -3

For 8 hours, s(8) = 6·8 -3 = 45 . . . . dollars

After 4 hours, Main Deck charges 8 dollars per hour. For 4 hours, the charge is only $18 (which is $14 less than $8×4). So the rate after 4 hours can be modeled by ...

m(h) = 8h -14

For 8 hours, m(8) = 8·8 -14 = 50 . . . . dollars

For 8 hours, the $45 charge at Spike's is $5 less than the $50 charge at Main Deck.

6 0

3 years ago

Difference between ellipse circle parabola and hyperbola equations

belka [17]

The equation of a circle is:

(x - h)² + (y - k)² = r²

The equation of a parabola is:

(x - h)² = 4p(y - k)

The equation of an ellipse is:

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

where variables a and b and the two different measurements of the vertices

The equation of a hyperbola is:

$\frac{((x-h)^{2} }{ a^{2} } - \frac{(y-k)^{2} }{ b^{2} } = 1$ if it is with a horizontal transverse axis

$\frac{ (y-k)^{2} }{ b^{2} } - \frac{ (x-h)^{2} }{ a^{2} } = 1$ if it is with a vertical transverse axis

Notice these have a subtraction operation, the exact opposite ellipse.

6 0

3 years ago

A washer and dryer cost $652 combined. The washer cost $48 less than the dryer. What is the cost of the dryer?

Levart [38]

Answer:

The dryer costs $350

Step-by-step explanation:

Step 1: Make a system of equations

w + d = 652

w = d - 48

Step 2: Plug in the know w into the first equation

d - 48 + d = 652

2d - 48 + 48 = 652 + 48

2d / 2 = 700 / 2

d = 350

Answer: The dryer costs $350

7 0

3 years ago