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KiRa [710]
2 years ago
15

Given the function h of x equals negative 2 times the square root of x, which statement is true about h(x)?

Mathematics
1 answer:
gavmur [86]2 years ago
7 0

Using translation concepts, it is found that the correct statement about h(x) is:

The function is decreasing on the interval (0, ∞).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function is:

f(x) = \sqrt{x}

Which is increasing on (0, ∞).

After the translation, the function is:

h(x) = -2\sqrt{x}

It was multiplied by a negative number, which means that it was reflected over the x-axis, and it will be decreasing on the interval (0, ∞).

More can be learned about translation concepts at brainly.com/question/4521517

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What is f (x) = 4x + 1; {–4, –2, 0, 2, 4}
Reika [66]

Answer

4x+1

−4,−2,0,2,4

​

Step-by-step explanation:

5 0
2 years ago
2x+4y=6<br> 3x=12-6y<br> Solve by elimination
faltersainse [42]

Answer:

no solution

Step-by-step explanation:

2x + 4y = 6......reduces to x + 2y = 3

3x = 12 - 6y....reduces to x = 4 - 2y...rearranged is x + 2y = 4

so now we have :

x + 2y = 3

x + 2y = 4

ok....I dont have to go any farther to know that this has no solution because ur equations have the same slope and different y int, this means ur lines are parallel and have no solution because they never cross each others path.

5 0
3 years ago
Read 2 more answers
What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10
jasenka [17]

<u>Answer:</u>

 The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

<u>Solution: </u>

The given expression is (2 x-3 y)^{10}

As per binomial theorem, we know,

(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now x^{5}\times y^5 will be the 6 term where k =5

Now, \mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}

So, the coefficient of x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right.

10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252

The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

6 0
3 years ago
News cameras take an overhead picture of a part of a crowd at an outdoor event. journalists then count the number of people in t
Law Incorporation [45]

The given process is an example of a cluster system.

<h3>What is the cluster system?</h3>

The clustered systems are a combination of hardware clusters and software clusters.

The hardware clusters help in sharing of high-performance disks between the systems.

The software clusters makes all the systems work together.

Each node in the clustered systems contains the cluster software.

A cluster refers to a group of inter-connected computers where it works together to support applications and middleware (e.g. databases).

In a cluster, each & every computer is known to be a “node”.


To know more about the cluster system click the link given below.

brainly.com/question/4804019

7 0
2 years ago
What is the mixed number for 24/3
galben [10]
The mixed number is 8
8 0
3 years ago
Read 2 more answers
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