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2 years ago

Which of the following determines a plane?

Mathematics

1 answer:

Gnoma [55]2 years ago

5 0

Answer: A 3 non collinear pts

a plane is a flat surface like a wall

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If f(x)=x-3, which inequality can be used to find the domain of f(x)?

Scrat [10]

Given that,

$f(x) = \sqrt{x-3}$

To find,

The domain of f(x).

Solution,

We have, $f(x) = \sqrt{x-3}$

To find domain,

The term under the square root must be positive or null as follows :

$x-3\ge 0$

Adding 3 both sides

$x-3+3\ge 0+3\\\\x\ge 3$

So, the domain is x-3>0 .

3 0

3 years ago

Evaluate the function g(x) = –2x2 + 3x – 5 for the input values –2, 0, and 3

Sunny_sXe [5.5K]

Answer:

g(x)= -19

g(x)= -5

g(x)= -14

4 0

3 years ago

Read 2 more answers

In a given year, the population of Metro City is 7420, and the population is decreasing by 152 people per year. The population o

Anit [1.1K]

Answer:

The correct option is D.

Step-by-step explanation:

Let x denote the years.

The information provided is:

The population of Metro City is 7420.
The population is decreasing by 152 people per year.
The population of Smallville is consistently 1200 less than half of Metro City.

From the provided data derive the equation for the population of Smallville x years after as follows:

$Y = [\frac{1}{2}\cdot (7420-152x)]-1200$

The population of Smallville is 2282 after x years.

Compute the value of x as follows:

$2282= [\frac{1}{2}\cdot (7420-152x)]-1200$

$\frac{7420-152x}{2}=2282+1200\\\\7420-152x=3482\times 2\\\\152x=7420-6964\\\\152x=456\\\\x=3$

Thus, the time it will take for Smallville's population to reach 2282 is 3 years.

The correct option is D.

7 0

3 years ago

Reflection over the y-axis followed by a horizontal translation 1 unit left on the equation f(x)=x

aleksley [76]

Answer:

f(x) = -x -4 or f(x) = (-x)-4

Step-by-step explanation:

Let the graph of g be a translation of 4 units down followed by a reflection in the y-axis of the graph of f(x)=x. Write a rule for g.

Transformations can be found using this general formula: f(x) = a(bx-h)+k

For this question, we want a translation down as well as a reflection.

The two values we need to use are for k, a vertical translation, and b, a reflection over the y-axis.

Since we are translating down 4 units, k = -4

Since we are reflecting across the y-axis, b = -1

So, f(x)=(-x)-4

f(x)= -x -4

6 0

3 years ago

Can anyone help and explain how to do this it’s very confusing?

Margarita [4]

Answer:

Find the slopes; 123 servings

Step-by-step explanation:

When you look at the graph and table, find out which ones have a slope of 1/2

To find slope you have to use this equation

$\frac{y - y^1}{x - x^1}$

So for each graph and table, calculate the slope using that formula :)

For the second question,

For every 10 students, the amount of juice dispensed was

7*4 + 3*8 = 52

So divide 52 by 10 to get 5.2

Then divide the total amount of juice (640) by 5.2 and that rounds to about 123 servings of juice

4 0

3 years ago