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professor190 [17]
3 years ago
14

How many terms are in the binomial (a+b)^8 ? ___ terms

Mathematics
1 answer:
Goryan [66]3 years ago
8 0
There will be 8 + 1 =  9 terms
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Patrick is driving form Sydney to Canberra. He travels for 288km trip in 4 hours. What's his average speed?
nika2105 [10]

Answer:

v = 72 km/h

Step-by-step explanation:

Given that,

The distance covered by the Patrick, d = 288 km

Time taken, t = 4 hours

We need to find the average speed of Patrick. We know that the average speed of an object is equal to the total distance covered divided by total time taken. Let it is v. So,

v=\dfrac{d}{t}\\\\v=\dfrac{288\ km}{4\ h}\\\\v=72\ km/h

So, his average speed is equal to 72 km/h.

3 0
3 years ago
The graph of the quadratic function y=-x^2-2x+3 is shown below
Karolina [17]

Answer:

The axis of symmetry is at x=-1

The graph has an x-intercept at (1,0)

The graph has a vertex at (-1,4)

Step-by-step explanation:

we have

y=-x^{2}-2x+3

Statements

case 1) The graph has root at 3 and 1

The statement is False

Because, the roots of the quadratic equation are the values of x when the value of y is equal to zero (x-intercepts)

Observing the graph, the roots are at -3 and 1

case 2) The axis of symmetry is at x=-1

The statement is True

Observing the graph, the vertex is the point (-1,4)

The axis of symmetry in a vertical parabola is equal to the x-coordinate of the vertex

so

the equation of the axis of symmetry is x=-1

case 3) The graph has an x-intercept at (1,0)

The statement is True

see procedure case 1)

case 4)  The graph has an y-intercept at (-3,0)

The statement is False

Because, the y-intercept is the value of y when the value of x is equal to zero

Observing the graph, the y-intercept is the point (0,3)

case 5) The graph has a relative minimum at (-1,4)

The statement is False

Because, is a vertical parabola open downward, therefore the vertex is a maximum

The point (-1,4) represent the vertex of the parabola, so is a maximum

case 6) The graph has a vertex at (-1,4)

The statement is True

see the procedure case 5)

see the attached figure to better understand the problem

6 0
3 years ago
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Florida has 8 less than 5 times the number of countries in Arizona
HACTEHA [7]

y = florida's number of countries x = countries in Arizona

y=5x-8

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3 years ago
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Determine the value of x?
Alexxx [7]

hope it will help you..........

6 0
2 years ago
4-2 3/5<br>please simplify ​
Novosadov [1.4K]

Answer:

2x3/5

Step-by-step explanation:

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3 years ago
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