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Mashutka [201]
3 years ago
14

The graph of f(x) = x2 – 3x2 + 4 is shown

Mathematics
1 answer:
IRISSAK [1]3 years ago
3 0

Answer:

2 is the answer that I would give. The question says <u>distinct</u> solutions does this graph have.

Step-by-step explanation:

You are asked only how many times this crosses the x axis. You are not asked for an exact value. So the thing to do is graph the polynomial.

y = x^3 - 3x^2 + 4

The graph says that x = -1 with a multiplicity of 1

It also says that x=2 is a solution with a multiplicity of 2 (meaning there are 2 roots are the same).

So this polynomial factors into y = (x + 1)(x - 2)(x - 2)

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Harlamova29_29 [7]

Answer:

1857 miles.

Step-by-step explanation:

We have been given that the scale on a map is 1 cm:30 mi. The distance on the map between San Francisco, CA, and Chicago, IL, is 61.9 cm. We are asked to find the actual distance between San Francisco and Chicago.

We will use proportions to solve our given problem.

\frac{\text{Actual distance}}{\text{Map distance}}=\frac{30\text{ miles}}{1\text{ cm}}

Upon substituting map distance between San Francisco and Chicago, we will get:

\frac{\text{Actual distance}}{61.9\text{ cm}}=\frac{30\text{ miles}}{1\text{ cm}}

\frac{\text{Actual distance}}{61.9\text{ cm}}\cdot 61.9\text{ cm}=\frac{30\text{ miles}}{1\text{ cm}}\cdot 61.9\text{ cm}

\text{Actual distance}=30\text{ miles}\cdot 61.9

\text{Actual distance}=1857\text{ miles}

Therefore, the actual distance between San Francisco and Chicago is 1857 miles.

4 0
3 years ago
Change 25/6 to mixed fraction​
alex41 [277]

Answer:

4\frac{1}{6}

Step-by-step explanation:

To find this, first, we need to ask ourselves, "how many times does 6 go into 25?" The answer is 4 because 6 * 4 = 24 with 1 left over. Therefore, we know that the whole number is 4 and the fraction is 1/6, so the answer is 4\frac{1}{6}.

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AB contains the points A(7, -11) and B(8,17). find the slope of a line perpendicular to AB
Molodets [167]
If a line were to be perpendicular from said points, the slope of it would be -1/28. Hope this helps!
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svetoff [14.1K]

Answer:

value of a.b = -4

Step-by-step explanation:

We need to find a.b

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We know that i.i =1, j.j=1, i.j =0 and j.i=0

a.b = (4i-4j).(4i+5j)

a.b = 4i(4i+5j)-4j(4i+5j)

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a.b = 16(1) +20(0)-16(0)-20(1)

a.b = 16 +0-0-20

a.b = 16-20

a.b =-4

So, value of a.b = -4

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Answer:

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Step-by-step explanation:

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