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2 years ago

Which function has a range limited to only negative numbers?

Mathematics

2 answers:

ycow [4]2 years ago

6 0

Answer:its a

Step-by-step explanation:

Mrac [35]2 years ago

3 0

Answer:

F(x)=-x^2

Step-by-step explanation:

The one example of function with range of only negative number is:

F(x)=-x^2

Why this? We know for every x, x^2 is positive. So -x^2 will be negative.

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According to the Rational Root Theorem, the following are potential fox) 2x2 +2x 24.roots of -4, -3, 2, 3, 4Which are actual roo

aksik [14]

Correct Answer: First Option

Explanation:

There are two ways to find the actual roots:

a) Either solve the given quadratic equation to find the actual roots

b) Or substitute the value of Possible Rational Roots one by one to find out which satisfies the given equation.

Method a is more convenient and less time consuming, so I'll be solving the given equation by factorization to find its actual roots. To find the actual roots set the given equation equal to zero and solve for x as given below:

$2x^{2} +2x-24=0\\ \\ 2(x^{2} +x-12)=0\\ \\ x^{2} +x-12=0\\ \\ x^{2} +4x-3x-12=0\\ \\ x(x+4)-3(x+4)=0\\ \\ (x-3)(x+4)=0\\ \\ x-3=0, x=3\\ \\ or\\\\x+4=0, x=-4$

This means the actual roots of the given equation are 3 and -4. So first option gives the correct answer.

7 0

2 years ago

Read 2 more answers

96.5 times 2.54 i know the answer i just need help showing the work

kogti [31]

You just solve it like a normal multiplication problem and then start putting the decimal begin the answer and place it 3 numbers forward

3 0

1 year ago

Read 2 more answers

Q.1 - Adam is ordering pizza for a company party that he needs to have catered. Company A charges $8 for each pizza and a delive

Tasya [4]

Answer:

4. A) $\displaystyle x + 4 ≥ 7$

3. A) $\displaystyle x + 650 ≥ 1500; x ≥ 850$

2. D) $\displaystyle 0,95(9) + 1,25b ≤ 25$

1. C) $\displaystyle 8x + 45 < 12x + 5$

Step-by-step explanation:

4. Two families combined have at least 3 pets.

3. $1500 is your result, so everything else is straightforward simple, knowing that the keywords at least $1500 mean greater than or equal to $1500.

2. Find the correspondents, then determine what inequality to use. In this case, you will use less than or equal to because overpaying is UNNECESSARY.

1. Eight dollars each pizza and twelve dollars each pizza is 12x and 8x. The rest is straightforward simple because you now have your initial costs of $45 and $5, and the exercise tells you that the total charge for Company A is less than the total charge for Company B, therefore you have your answer.

I am joyous to assist you anytime.

3 0

2 years ago

Read 2 more answers

Anita earns 60 points every time she shops at a grocery store.She needs a total of 2,580 points to receive a free prize.So far s

Alexandra [31]

Answer: 43 more times

2580÷60=43.

Step-by-step explanation: 43×60 =2580

This proves that 43 times is correct.

6 0

2 years ago

Let f(x)=4x-1 and g(x)=2x^2+3. Perform each function operations and then find the domain.

Triss [41]

F(x) = 4x - 1
g(x) = 2x² + 3

1. (f + g)(x) = (4x - 1) + (2x² + 3)
(f + g)(x) = 2x² + 4x + (-1 + 3)
(f + g)(x) = 2x² + 4x + 2
Domain: {x| -∞ < x < ∞}, (-∞, ∞)

2. (f - g)(x) = (4x + 1) - (2x² + 3)
 (f - g)(x) = 4x + 1 - 2x² - 3
(f - g)(x) = -2x² + 4x + 1 - 3
(f - g)(x) = -2x² + 4x - 2
Domain: {x|-∞ < x < ∞}, (-∞, ∞)
3. (g - f)(x) = (2x² + 3) - (4x - 1)
(g - f)(x) = 2x² + 3 - 4x + 1
(g - f)(x) = 2x² - 4x + 3 + 1
(g - f)(x) = 2x² - 4x + 4
Domain: {x| -∞ < x < ∞}, (-∞, ∞)

4. (f · g)(x) = (4x + 1)(2x² + 3)
(f · g)(x) = 4x(2x² + 3) + 1(2x² + 3)
(f · g)(x) = 4x(2x²) + 4x(3) + 1(2x²) + 1(3)
(f · g)(x) = 8x³ + 12x + 2x² + 3
(f · g)(x) = 8x³ + 2x² + 12x + 3
Domain: {x| -∞ < x < ∞}, (-∞, ∞)

5. $(\frac{f}{g})(x) = \frac{4x - 1}{2x^{2} + 3}$
Domain: 2x² + 3 ≠ 0
- 3 - 3
2x² ≠ 0
2 2
 x² ≠ 0
x ≠ 0
(-∞, 0) ∨ (0, ∞)

6. $(\frac{g}{f})(x) = \frac{2x^{2} + 3}{4x - 1}$
Domain: 4x - 1 ≠ 0
+ 1 + 1
4x ≠ 0
4 4
x ≠ 0
 (-∞, 0) ∨ (0, ∞)

6 0

1 year ago

Which function has a range limited to only negative numbers?​

Which function has a range limited to only negative numbers?