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Aloiza [94]
4 years ago
14

What is the leading coefficient of the following expression: 5x^4-7x^3+2x+1​

Mathematics
1 answer:
never [62]4 years ago
5 0

Answer:

5

Step-by-step explanation:

The leading coefficient belongs to the term with the largest exponent

Given

5x^{4} - 7x³ + 2x + 1 ← in standard form

The leading term is 5x^{4} ← with leading coefficient 5

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Determine the slope-intercept form of the equation of the line parallel to y = -4/3 x + 11 that passes through the point (–6, 2)
rewona [7]

Answer: -4/3x - 6

Step-by-step explanation:

First, let's find the slope of the line

y=- -4/3x+11

As the equation is already in slope-intercept form y=mx+c ,

Slope = -4/3

Let a point (x,y) be on the new line.

By finding the slope again,

y−2/x+6= -4/3

y−2= -4/3(x+6)

y−2= -4/3x−8

y = -4/3x - 6

6 0
3 years ago
Which is true about the two triangles?
patriot [66]
They all have three sides, im really smart
6 0
3 years ago
Read 2 more answers
Your teacher gives you a number cube with numbers 1-6 on its faces. You are asked to state a theoretical probability model for r
butalik [34]

The missing part of the question is show in bold format.

Your teacher gives you a number cube with numbers 1-6 on its faces. You are asked to state a theoretical probability model for rolling it

once. Your probability model shows a probable outcome of 1/6 for each of the numbers on the cube, 1 chance for all any of the 6 numbers.

You roll it 500 times and get the following data:

Outcome 1 2 3 4 5 6

Frequency 77 92 75 90 76 90

Exercises 1–2

1. If the equality model was correct, about how many of each outcome

would you expect to see if the cube is rolled 500 times

2. Based on the data from the 500 rolls, how often were odd numbers observed? How often were even numbers observed?

Answer:

Step-by-step explanation:

1.

If the equally likely model was correct,  about how many of each outcome

would you expect to see if the cube is rolled 500 times.

The probability of rolling any of the numbers from 1 to 6 is  p(1/6)

The number of each of the outcomes expected to be seen in 500 rolls of the number cube is np

= 500 * \frac{1}{6}  \\ \\ = \frac{500}{6} \\ \\  = 83.333 \\ \\ \approx 83

2.  From the given data in the roll;

The odd numbers 1, 3 and 5, were obtained at  77, 75 and 76 times respectively.

Thus, the total number of times odd number were rolled = 77 + 75 + 76 = 228

Probability of an odd number turning up = \frac{ number \ of  \ required  \ outcome}{ total \  number  \ of  \ possible \ outcome}

= \frac{228}{500}

= 0.456

= 45.6%

The even numbers, 2, 4 and 6, were obtained 92, 90 and 90 times respectively.

The total number of times even number were rolled = 92 + 90 + 90 = 272

Probability of an even number turning up  = \frac{ number \ of  \ required  \ outcome}{ total \  number  \ of  \ possible \ outcome}

= \frac{272}{500}

= 0.544

= 54.4%

4 0
3 years ago
Write the numeral eighty-five in standard form
goblinko [34]

85 = 80 + 5

85 = 8*10 + 5*1

85 = 8*10^1 + 5*10^0

6 0
3 years ago
Fill in the other coordinate for the line 3x-5y=2: (4, ) is the answer 2
Anton [14]
Step 1
plug in 4 for X
3(4)-5y=2
12-5y=2
Step 2
-12 (both sides)
-5y=-10
Step 3
divide both by -5
y=2

the answer is
the coordinates are (4,2)
5 0
3 years ago
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