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Deffense [45]
3 years ago
15

What is the range of f(x) in interval notation?

Mathematics
1 answer:
fenix001 [56]3 years ago
6 0

Answer:

[2, ∞)

Step-by-step explanation:

None of the expressions will yield a number less than 2 using the domain of xs stated.

3, x<0

All numbers less than 0 would lead to the range being 3

x^{2} +2, 0\leq x

If we use 0, range= 2 (because (0)^2+2=2) and x=1 would yield range = 3

\frac{1}{2} x+5, x\geq 2

Using 2 for x, we get range=6 and the numbers keep going till infinity

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What is the area of a triangle with vertices (3,0) (9,0) (7,6)
Nezavi [6.7K]

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices (x_1,y_1),(x_2,y_2),(x_3,y_3) is given by the determinant of the following matrix:

A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|

In this question:

Vertices (3,0) (9,0) (7,6). So

A = \pm 0.5 \left|\begin{array}{ccc}3&0&1\\9&0&1\\7&7&1\end{array}\right|

A = \pm 0.5(3*0*1+0*1*7+1*9*7-0*7*1-0*9*1-3*1*7)

A = \pm 0.5*(63-21)

A = \pm 0.5*42 = 21

The area of the triangle is of 21 units of area.

5 0
3 years ago
Landon scored an 85% on his test. If he got 34 problems correct, how many were on the test?
Sergeu [11.5K]

Answer:

There are 40 problems on the test

Step-by-step explanation:

Let p = the number of problems on the test

The number of problems on the test times the percent correct is the number correct

p * 85% = 34

p * .85 = 34

Divide each side by .85

p * .85/.85 = 34/.85

p = 40

There are 40 problems on the test

6 0
3 years ago
The area of the shaded region in the shape to the right
larisa86 [58]
Oof this one is hard I think it’s 20 mm but I’m not sure
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viva [34]
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4 years ago
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Answer:

Present Day:

Bob:Rob:Difference

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4 years ago:

Bob:Rob:Difference

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3 years ago
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