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mestny [16]
3 years ago
15

Use Pascal’s Triangle to determine the fifth term of the expansion of (x + 3)7

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0

Answer:

2835x^5.

Step-by-step explanation:

By Binomial Theorem, T(r+1) = nCr * a^(r+1) * b^r.

Term 5 = 7C4 * x^5 * 3^4

= 35 * x^5 * 3^4

= 2835x^5.

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tresset_1 [31]

Answer: Hello mate!

if x is the amount of hours worked, 45 is the slope and the y intercept is 35.

A linear equation has the form of y = ax + b, where a is the slope and b is the y-intercept, then the equation that we have is:

y = 45*x + 35

this means that she wins $45 per hour, and has a plane amount of $35, indiferent of the amount of hours worked.

Then the correct answer is

C) Grace's wage is $45 an hour, and it appears that she received a  signing bonus of $35.

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2 years ago
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Joanna made a table and a graph for the equation y = 2x.
Leokris [45]
B. both r correct

when it’s 2x it goes up two over one. rise/run, 2/1
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2 years ago
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Write the equation of a line that includes the point (4, –2) and has a slope of 0 in slope-intercept form.
DaniilM [7]
Find the b value by plugging in the slope and known coordinates,

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You can also tell this without calculating since a slope of 0 will always have the same y value. Therefore if (4,-2) is on the line, the y value of the whole line must be -2.

Final answer: y=0x-2, which is y=-2
6 0
3 years ago
Which ordered pair is included in the solution set to the following system? y > x2 + 3 y < x2 – 3x + 2 (–2, 8) (0, 2) (0,
I am Lyosha [343]

The ordered pair that is a solution of the system is (-2, 8).

<h3>Which ordered pair is included in the solution set to the following system?</h3>

Here we have the system of inequalities:

y > x² + 3

y < x² - 3x + 2

To check which points are solutions of the system, we can just evaluate both inequalities in the given points and see if they are true.

For example, for the first point (-2, 8) if we evaluate it in the two inequalities we get:

8 > (-2)² + 3 = 7

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As we can see, both inequalities are true. So we conclude that (-2, 8) is the solution.

(if you use any other of the 3 points you will see that at least one of the inequalities becomes false).

If you want to learn more about inequalities:

brainly.com/question/18881247

#SPJ1

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1 year ago
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fredd [130]

Answer:

80

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10+4+2+4=20 and 20×4 numbers=80

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