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2 years ago

What is the product of (2x – 4) and (5x^2-2x+6)? Write your answer in standard form. Show your work.

Mathematics

2 answers:

kumpel [21]2 years ago

8 0

Answer:

The product is 10x³-24x²+20x-24.

Step-by-step explanation:

(2x-4)•(5x²-2x+6)

Use the Distributive property.

2x(5x²-2x+6)-4(5x²-2x+6)

Multiply.

10x³-4x²+12x-20x²+8x-24

Simplify.

10x³-24x²+20x-24

Note:

Are you a Connexus student? If you are, please join my class on Quizlet using this link: https: // quizlet. com / join / 6nmuZyd2M (copy-paste into google.com, then take out ALL spaces)

Another note:

To make the symbol ², hold the alt button and press 0178 ON THE NUMBERPAD (the numberpad should be to the right of the letter keys). It MUST be on the numberpad to work. To make the symbol ³, hold the alt button and press 0179 on the numberpad. Again, it MUST be on the numberpad to work.

Mashutka [201]2 years ago

6 0

Answer:

10x^3-24x^2+20x-24

Step-by-step explanation:

(2x-4)(5x^2-2x+6)

10x^3-4x^2+12x-20x^2+8x-24

10x^3-24x^2+20x-24

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At what points on the given curve x = 4t3, y = 3 + 8t − 10t2 does the tangent line have slope 1?

Bess [88]

Answer:

(4/3, 4 5/9) and (-32, -53)

Step-by-step explanation:

When a curve is given as a set of parametric equations, as this one is, then the slope of the tangent line to the curve is

dy/dt

dy/dx = ------------

dx/dt

which here is

dy/dt 8 - 20t

dy/dx = ----------- = --------------

dx/dt 12t^2

If the slope at a certain point on this curve is 1, then we conclude that:

8 - 20t = 12t^2, or

12t^2 + 20t - 8 = 0, or

3t^2 + 5t - 2 = 0

We have to solve this equation for the parameter, t:

Here a = 3, b = 5 and c = -2, and so the discriminant is

b^2 - 4ac = 25 - 4(3)(-2), or 49, and the square root of that is 7.

Thus, the roots are:

-5 ± 7

t = --------- = 1/3 and t = -2

2(3)

Evaluate x and y twice, once each for each t value.

Case 1: t = 1/3

x = 4(1/3) and y = 3 + 8(1/3) - 10(1/3)^2, or

x = 4/3 and y = 3 + 8/3 - 10/9: (4/3, 4 5/9)

Case 2: t = -2

x = 4(-2)^3 and y = 3 + 8(-2) - 10(-2)^2, or y = 3 - 16 - 40, or y = -53.

This gives us the point (-32, -53)

6 0

3 years ago

First Class Airlines has 40 pilots for every 15 aircrafts. If they employ 240 pilots, how many aircrafts does First Class Airlin

olchik [2.2K]

Answer:

90 Aircrafts.

Step-by-step explanation:

240/40 = 6, 6 • 15 = 90. The answer would be 90 aircrafts.

8 0

3 years ago

Which of the following expressions is equivalent to the radical expression?

qwelly [4]

The correct answer is B) $m^{2/3}n^{5/3}$ .

The denominator of the exponent is the root we are taking. The numerator is the exponent of the radicand. This means 3 will be the denominator, since it is a cubed root, and 2 will be the numerator of m while 5 will be the numerator of n.

4 0

3 years ago

Solve. 164+56-[3+4+1]=

alukav5142 [94]

164+56-[3+4+1]=

= 164 + 56 - 8

= 212

Have a nice days...........

3 0

3 years ago

The new roller skating rink that opened in town had a loss of $500 the first month and a profit of $123 the second month. What w

Sonbull [250]

Answer:

B) - $377

Step-by-step explanation:

Loss for the first month = -$500

Profit for the second month = + $123

Total loss for two months = -$500 + $ 123

= - $377

Hint: if two numbers have different signs, then subtract and put the sign of bigger number.

7 0

4 years ago