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grigory [225]
3 years ago
14

What is the x intercept of this linear function. y=2x-3​

Mathematics
1 answer:
Allisa [31]3 years ago
6 0

Answer:

set y = 0 to get the x intercept,,,,,,,,,,   0 = 2x -3 =    x = 3/2 or 1.5

Step-by-step explanation:

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PLEASE HELP. ILL PICK BRAINIEST ANSWER
klasskru [66]

The graph shows the height of a kicked soccer ball f(x), in feet, depending on the distance from the kicker x, in feet

Part A: What do the x-intercepts of the graph represent?

The x intercept means value of x when h(x)=0. That is, the x-intercept signify the distance from kicker when height h(x) =0. The x intercept is (0,0) and (16,0).

So, when the kicker is at a distance of 0 feet or 16 feet, height h(x)=0 feet.

What does maximum value of the graph represent?

The maximum value of the graph signify maximum height the soccer ball can achieve. The maximum height the graph has is at (8,10). That is, when kicker is at a distance of 8 feet from the ball, the ball attains a maximum height of 10 feet.

What are the intervals where the function is increasing and decreasing, and what do they represent about distance and height?

The increasing interval is (-∞,8]. That is, the height of the ball increases when kicker is increasing as the distance increases from -∞ to 8. But, the height keeps on decreasing from 8 to ∞. As, x, distance increases from 8, the height decreases, Hence, decreasing interval [8,∞)

Part B: What is an approximate average rate of change of the graph from x=8 to x=13, and what does this rate represent?

average rate of change=\frac{f(x2)-f(x1)}{x2-x1}

where x2=13 and x1=8. That is, the interval in which we are looking for average rate of change

f(x2)=f(13)=5

f(x1)=f(8)=10

average rate of change =\frac{5-10}{13-8}

=\frac{-5}{5}

=-1

average rate of change =-1.

This rate signify that height decreases by 1 feet as distance of the skipper increases by 1 feet (when distance, x is between 8 and 13)

7 0
3 years ago
Genevieve wants to verify that One-fifth (5 x minus 20) minus one-half (4 x minus 8) is equivalent to Negative x. Which procedur
lora16 [44]

Answer:

The given expression is equivalent to -x

That is \frac{1}{5}(5x-20)-\frac{1}{2}(4x-8)=-x

Now Verified that the two expressions are equivalent

Step-by-step explanation:

Given that Genevieve wants to verify that One-fifth (5 x minus 20) minus one-half (4 x minus 8) is equivalent to Negative x

It can be written as below :

\frac{1}{5}(5x-20)-\frac{1}{2}(4x-8)=-x

Now we can verify the expression is equivalent or not :

Taking  LHS

\frac{1}{5}(5x-20)-\frac{1}{2}(4x-8)

=\frac{5x}{5}+\frac{-20}{5}-\frac{4x}{2}+\frac{8}{2} ( by using the distributive property )

=x-4-2x+4

=-x+0  ( adding the like terms )

=-x=RHS

Therefore LHS=RHS

Therefore the given expression is equivalent to -x

That is \frac{1}{5}(5x-20)-\frac{1}{2}(4x-8)=-x

Now Verified that the two expressions are equivalent

6 0
3 years ago
Read 2 more answers
The graph of 4x+12y=8 and y=Mx+5 are perpendicular. What is the value of m
Komok [63]

Answer:

m=3

Step-by-step explanation:

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

step 1

Find the slope of the given line

we have

4x+12y=8

isolate the variable y

12y=8-4x

y=\frac{2}{3}-\frac{1}{3}x

the slope of the given line is

m=-\frac{1}{3}

step 2

Find the slope m_2 of the perpendicular line to the given line

m_1*m_2=-1

m_1=-\frac{1}{3} ---> slope of the given line

(-\frac{1}{3})*m_2=-1

m_2=3

therefore

The value of m is

m=3

8 0
3 years ago
You need to arrange 10 of your favorite books on a small shelf. How many different ways can you arrange the books, assyming that
tensa zangetsu [6.8K]

Answer:

You can arrange the books 3,628,800 different ways.

Step-by-step explanation:

You can imagine that the shelf has 10 "slots" where you can place a book. Each slot can take 1 of the 10 books. However, after you have placed 1 book, there are only 9 possible books to place. After 2 have been placed, there are only 8 possible.

Going left-to-right, the first slot has 10 available books.

Total combinations: 10

The 2nd slot has 9 available books.

Total combinations: 10 * 9

The 3rd slot has 8 available books.

Total combinations: 10 * 9 * 8

This continues for all 10 slots.

Eventually, for slot 10, there is only 1 book possible.

Total combinations: 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

Multiply all numbers between 10 and 1 with each other is also known as "10 factorial" or "10!"

Thus, the total number of combinations is:

10! = 10*9*8*7*6*5*4*3*2*1 = 3628800

Answer: You can arrange the books 3,628,800 different ways.

8 0
3 years ago
ALGEBRA 2 help please;Question in the attached
lukranit [14]

3 because it square roots 3 to 3

5 0
3 years ago
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