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3 years ago

Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.

Mathematics

2 answers:

mrs_skeptik [129]3 years ago

4 0

Answer:

For positive values of x, g(x) > h(x).

For negative values of x, g(x) > h(x).

Step-by-step explanation:

For any value of x g(x) is always greater than h(x) and for any value of x, h(x) will always be greater than g(x) are not true.

The given function is:

g(x) = x^2 and h(x) = –x^2

x=0

g(0)=(0)^2 = 0

h(0)= -(0)^2 = 0

Now check the condition for x = -1

put x =-1 in the given functions.

g(x)=x^2

g(-1) = (-1)^2 = 1

h(x)= -x^2

h(-1) = -(-1)^2 = -1

g(x)>h(x)

Now take a positive value of x= 3

Put the value in the given functions:

g(3) = (3)^2 = 9

h(3) = -(3)^2 = -9

g(x)>h(x)

For positive values of x, g(x) > h(x).

For negative values of x, g(x) > h(x)....

fomenos3 years ago

4 0

Answer:

Simplified Answer: C & F

Step-by-step explanation:

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Urgently NEED these questions answered!!!!!

Len [333]

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3 years ago

The game of Connex contains one 4-unit piece, two identical 3-unit pieces, three identical 2-unit pieces and four identical 1-un

Aleks [24]

Answer: 277 ways

Step-by-step explanation:

Let’s start bycreating 10-unit pieces using the 4-unit piece.

The arrangements are:

1). 4-3-3 (3 permutations)

2). 4-3-2-1 = 4! = 24 permutations.

3). 4-3-1-1-1 (5*[4!/(3!1!)]

= 5*4

= 20permutations

4). 4-2-2-2 (4 permutations)

5). 4-2-2-1-1 (5 *[4!/(2!2!)]

= 5*6

= 30 permutations

6). 4-2-1-1-1-1(6*[5!/(4!1!)]

= 6*5

= 30 permutations

Let’s-consider the arrangements using one or more3-unit pieces and no 4-unit piece:

7). 3-3-2-2 (4!/(2!2!)

8). 3-3-2-1-1 (5*(4!/(2!2!)

= 5*6

= 30 permutations.

9). 3-3-1-1-1-1 (6!/(4!2!) = 0

10). 3-2-2-2-1 (5*4!/(3!1!)

= 5*4

= 20permutations

11). 3-2-2-1-1-1 (6*5!/(3!2!)

= 6*10

= 60 permutations

Finally we would look at the arrangements using only 1-and 2-unit pieces:

12). 2-2-2-1-1-1-1 (7!/(4!3!)

= 35 permutations

add them all up:

(3 + 24 + 20 + 4) + (30 + 30 + 6 + 30) + (15 + 20 + 60 + 35)

=51 + 96 + 130

= 277ways

5 0

2 years ago

What is the next number in the sequence? 7, 16, 8, 27, 9,

katrin2010 [14]

30, 10
hope this helps

3 0

2 years ago

Inequality / Linear Systems Help - 30 points!

Sholpan [36]

They did not include the constraint for y ≤x+3 on the graph.

See attached picture with added constraint.

Using the 4 points that are given as the solution on the graph, replace t he x and Y in the original equation to solve and see which is the greater value.

Point (0,3) P = -0 +3(3) = 0+9 = 9

Point (1,4) P = -1 + 3(4) = -1 +12 = 11

Point (0,0) P = -0 + 3(0) = 0 + 0 = 0

Point (3,0) P = -3 + 3(0) = -3 + 0 = -3

The correct solution to maximize P is (1,4)

5 0

2 years ago

Which group of three squares will form a right triangle when joined at their vertices?

Ilia_Sergeevich [38]

Answer:

Option ?) 17 cm, 15 cm, 8 cm

The assignment should have four options to choose from, but there is only a picture of two.

Step-by-step explanation:

None of the squares shown form a right triangle. To determine if sides form a right triangle, you use this formula:

a²+b²=c²

We are given two options in the picture.

Option A) 18, 10, and 8.

Option B) 12, 9, and 6.

So, now we need to apply the formula:

Option A)

║8² + 10² = 18²

↓

║64 + 100 = 324

↓

║FALSE

Option B)

║6² + 9² = 12²

↓

║36 + 81 = 144

↓

║FALSE

Both of these options are false. But, I decided to look up this assignment to check my answer. It turns out, there are 4 options, and you only had a picture of two. So, what's the answer?

There is an answer choice that shows 3 squares with the lengths of 17 cm, 15 cm, and 8 cm. This is the correct answer.

For proof, let's apply the formula:

Option ?)

║8² + 15² = 17²

↓

║64 + 225 = 289

↓

║TRUE

[Since the option isn't shown, I'll put a '?' so there is no confusion]

8 0

2 years ago