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inessss [21]
3 years ago
6

Simplify the expression to a polynomial in standard form: (4x+5) (x^2-3x-2) PLEASE HLEP

Mathematics
1 answer:
pickupchik [31]3 years ago
7 0

Answer:

4x^3-7x^2-23x-10

Step-by-step explanation:

So we have the expression:

(4x+5)(x^2-3x-2)

Distribute. Multiply (4x+5) to each term:

(x^2)(4x+5)+(-3x)(4x+5)+(-2)(4x+5)

Distribute:

=(4x^3+5x^2)+(-12x^2-15x)+(-8x-10)

Combine like terms:

=(4x^3)+(5x^2-12x^2)+(-15x-8x)+(-10)

Add and simplify:

=4x^3-7x^2-23x-10

And this is in descending order, so it's in standard form.

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Answer:

27

Step-by-step explanation:

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3 years ago
A cargo truck that weighs 1 ton is going to cross a bridge. The bridge capacity has a limit of 5,000 pounds. If the cargo truck
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Answer:A

Step by step explanation: if a ton =2000 and the truck is only carrying a ton. It is not exceeding the limit that the bridge can hold which is 5000 lbs (2 1/2 tons)
3 0
3 years ago
Drag the labels to the correct locations on the table. Not all labels will be used.
luda_lava [24]

For f(x) = cos(x) we have:

  • midline = 0
  • amplitude = 1
  • period = 2π
  • graph = bottom graph on the second image.

<h3>What are the midline, amplitude, period, and graph of the function f(x)=cos(x)?</h3>

For a general cosine function, we have:

f(x) = A*cos(kx + p) + M

Where:

  • A is the amplitude.
  • k is the frequency.
  • p is the phase.
  • M is the midline.

For the function:

f(x) = cos(x).

We can see that:

A = 1, M = 0, k = 1, p = 0.

So, the amplitude is equal to 1, and the midline is equal to zero.

Now we also need to get the period. By definition of the trigonometric functions sin(x) and cos(x), we know that the period of the two is equal to 2π.

Finally, we need to identify the graph of cos(x).

Notice that:

f(0) = cos(0) = 1.

So the graph of f(x) = cos(x) is the graph with an y-intercept equal to 1. Which is the bottom graph on the second image.

If you want to learn more about cosine functions:

brainly.com/question/17075439

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8 0
2 years ago
A scuba diver wants to dive more than 2 1/2 times her previous deepest dive. That means she has to dive at least 77 feet below t
kobusy [5.1K]
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6 0
3 years ago
Read 2 more answers
Deon bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $250 less than the desktop. He pai
zysi [14]

Answer:

300

Step-by-step explanation:

Let x = cost of desktop computer; then x - 250 = cost of laptop computer

converting % to decimals, 9% = 0.09 and 6% = 0.06

Then, 0.09x + (x - 250)0.06 = $300

0.09x + 0.06x - 15 = $300

0.15x = $315

x = $2100

then x - 250 = $1850

Proof: $2100•0.09 + 1850•0.06 = $189 + $111 = $300

7 0
3 years ago
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