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denis-greek [22]
3 years ago
5

What is the degree of x4 – 3x + 2?

Mathematics
1 answer:
mihalych1998 [28]3 years ago
4 0

Answer: 4

Step-by-step explanation:

The degree is the highest exponent , in which in this problem it is 4. The 3x counts as an exponent of 1 because the variable x is 1, and the 2 counts as an exponent of zero. Which means the degree is 4.

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A software distributor charges \$41$41dollar sign, 41 per license of a particular utility. The distributor offers a 10\%10%10, p
Alchen [17]

Answer:

1558

Step-by-step explanation:

The first 202020 licenses cost full price, which is \$41$41dollar sign, 41 each. Thus, the first 202020 licenses cost a total of \$41 \cdot 20 = \$820$41⋅20=$820dollar sign, 41, dot, 20, equals, dollar sign, 820.

Hint #2

The remaining licenses have a 10\%10%10, percent discount. That means they cost 90\%90%90, percent of the full price. Let's write 90\%90%90, percent in its decimal form, 0.90.90, point, 9, in order to multiply.

\qquad 0.9 \cdot \$41 = \$36.900.9⋅$41=$36.900, point, 9, dot, dollar sign, 41, equals, dollar sign, 36, point, 90

Hint #3

There are 40 - 20 = 2040−20=2040, minus, 20, equals, 20 licenses at the reduced price of \$36.90$36.90dollar sign, 36, point, 90. Thus, the remaining 202020 licenses cost a total of \$36.90 \cdot 20 = \$738$36.90⋅20=$738dollar sign, 36, point, 90, dot, 20, equals, dollar sign, 738.

Hint #4

To find the cost for all 404040 licenses, let's add the costs of the full price and discounted licenses.

\qquad \$820 + \$738 = \$1558$820+$738=$1558dollar sign, 820, plus, dollar sign, 738, equals, dollar sign, 1558

Hint #5

The business would pay \$1558$1558dollar sign, 1558 to buy the licenses.

3 0
3 years ago
1. A 25% discount on a skateboard is $24.75. What is the cost before the discount?
klasskru [66]

Answer:

1. $33

2. 25%

3. 20%

4. Masako

5. 53.20

6.57.46

Step-by-step explanation:

5 0
2 years ago
A sine function has an amplitude of 3, a period of pi, and a phase shift of pi/2. What is the y-intercept of the function?
jarptica [38.1K]

Based on the calculations, we can logically deduce that the y-intercept of this sine function is equal to: A. 3.

<u>Given the following data:</u>

  • Amplitude = 3
  • Period = π
  • Phase shift = π/2

<h3>How to determine the y-intercept of this function?</h3>

Mathematically, a sine function is modeled by this equation:

y = Asin(ωt + ø)

<u>Where:</u>

  • A represents the amplitude.
  • ω represents angular velocity.
  • t represents the period.
  • ø represents the phase shift.

Also, the period of a sine wave is given by:

t = 2π/ω

2 = 2π/ω

ω = 2

Substituting the given parameters into the equation, we have;

y = 3sin(2t + π/2)

At t = 0, we have:

y = 3sin(2(0) + π/2)

y = 3sin(π/2)

y = 3sin(90)

y = 3 × 1

y = 3.

In conclusion, we can logically deduce that the y-intercept of this sine function is equal to 3.

Read more on phase shift here: brainly.com/question/27692212

#SPJ1

5 0
1 year ago
Yair is buying a dog carrier for his puppy. The carrier is 20 inches long, 13 inches wide, and 16 inches high. What is the volum
scZoUnD [109]

Answer:

4160 cubic inches

Step-by-step explanation:

The dog carrier is in the shape of a rectangular prism (cuboid).

The volume of a rectangular prism is given as:

V = L * W * H

where L = length, W = width, H = height

The carrier is 20 inches long, 13 inches wide, and 16 inches high.

Therefore, its volume is:

V = 20 * 13 * 16\\V = 4160 in^3

The volume of the dog carrier is 4160 cubic inches.

4 0
3 years ago
You have 6,000 with which to build a rectangular enclosure with fencing
Dominik [7]
What is the question asking
7 0
3 years ago
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