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3 years ago

Y=1/2x Y= 4x Y= 1/4 x Y= 2 x

Mathematics

1 answer:

steposvetlana [31]3 years ago

3 0

It's a line in form y = mx.

Two points:

(0, 0) and (1, 4)

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Substitute:

$m=\dfrac{1-0}{4-0}=\dfrac{1}{4}$

Answer: $y=\dfrac{1}{4}x$

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What is the domain and range?

Viefleur [7K]

Answer:

Domain is your x max and Min, Range is your y max and Min

Step-by-step explanation:

Domain would be -5 to 8 or (-5,8)

range would be -3 to 2 or (-3,2)

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2 years ago

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Question 2 of 4

Alexxandr [17]

Answer:

The time it took for the bottle rocket to reach a height of 200 feet is 60 seconds.

Step-by-step explanation:

The function for the height of the bottle rocket (in feet), <em>t</em> seconds after it is launched is:

$h(t)=1157-16\ t$

Compute the value of <em>t</em> as follows:

$h(t)=1157-16\ t$

$200=1157-16t$

$16t=1157-200\\16t=957\\$

$t=59.8125\\t\approx60$

Thus, the time it took for the bottle rocket to reach a height of 200 feet is 60 seconds.

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3 years ago

How many three letter permutations can be formed from the first five letters of the alphabet?

Vsevolod [243]

Answer:

There are 60 permutations that can be formed from the first five letters of the alphabet.

Step-by-step explanation:

The number of three letter permutations that can be formed from the first five letters of the alphabet is $5P_{3}$ .

$5P_{3} =\frac{5!}{(5-3)!}$

$=\frac{5!}{2!}$

= 60

Hence, there are 60 permutations that can be formed from the first five letters of the alphabet.

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3 years ago

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Give that the line y=4x-14 passes through the point (k,k+1), find the value of k.

balandron [24]

Answer:

k = 5

Step-by-step explanation:

The given line is y = 4x - 14.

The given point is (k, k + 1).

For this point, x = k and y = k + 1.

You substitute these equations into the line's equation to find the value of k.

(x = k)

(y = k + 1)

y = 4x - 14

(k + 1) = 4(k) - 14

Solve for k.

k + 1 = 4k - 14

Subtract k from both sides.

1 = 3k - 14

Add 14 to both sides.

15 = 3k

Divide both sides by 3.

15/3 = k

Simplify.

5 = k

And that's the answer!

Please mark as Brainliest! :)

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3 years ago

Solve the linear equation using equivalent equations to isolate the variable. Express your solution as aninteger, as a simplifie

MakcuM [25]

Recall that like terms are terms that have the same variable with the same exponent, and that all constants are like terms.

To solve the given equation for y, first, we add like terms:

$-10.4=y-1.6.$

Now, adding 1.6 to both sides of the equation, we get:

$\begin{gathered} -10.4+1.6=y-1.6+1.6, \\ -8.8=y\text{.} \end{gathered}$

Answer:

$y=-8.8.$

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1 year ago