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3 years ago

This graph is an example of

Mathematics

2 answers:

masha68 [24]3 years ago

7 0

Answer:

option A is correct. this graph is a linear function

Step-by-step explanation:

Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept

Evgen [1.6K]3 years ago

5 0

Answer:

Step-by-step explanation:

It is not a function at all because it does not have necessary properties of a function, it is just a graph

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A soft drink costs $1.65 and each refill for the drink costs $0.95. If you have $4.50, how many refills can you purchase?

harkovskaia [24]

You can get 3 refills.
First you subtract $4.50-$1.65 which equals $2.85. Then you find out how many times 95¢ can go into that. It goes in 3 times so you can get 3 refills.

8 0

3 years ago

Read 2 more answers

How many solutions does the system have? y=-2x -4 y=3x + 3

baherus [9]

Answer:

x=−7/5and y=−6/5

Step-by-step explanation:

Step: Substitute−2x−4foryiny=3x+3:

y=3x+3

−2x−4=3x+3

−2x−4+−3x=3x+3+−3x(Add -3x to both sides)

−5x−4=3

−5x−4+4=3+4(Add 4 to both sides)

−5x=7

−5x

−5

(Divide both sides by -5)

x=−7/5

7 0

3 years ago

PLEASE HELP ASAP IM REALLY TRING TO FINISH A stick has a length of $5$ units. The stick is then broken at two points, chosen at

Fed [463]

Answer:

0.16

Step-by-step explanation:

Length = 5 units
Number of broken sticks= 3
Equal lengths = 5 units/3

See the picture attached for reference.

As you see the best points are the green areas which covers 2 out of 5 zones.

Since it is same for both broken points, the probability of this is:

2/5*2/5 = 4/ 25 = 0.16

Answer is 0.16

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=prove%20that%5C%20%20%5Ctextless%20%5C%20br%20%2F%5C%20%20%5Ctextgreater%20%5C%20%5Cfrac%20%7B

inysia [295]

$\large \bigstar \frak{ } \large\underline{\sf{Solution-}}$

Consider, LHS

$\begin{gathered}\rm \: \dfrac { \tan \theta + \sec \theta - 1 } { \tan \theta - \sec \theta + 1 } \\ \end{gathered}$

We know,

$\begin{gathered}\boxed{\sf{ \:\rm \: {sec}^{2}x - {tan}^{2}x = 1 \: \: }} \\ \end{gathered} \\ \\ \text{So, using this identity, we get} \\ \\ \begin{gathered}\rm \: = \:\dfrac { \tan \theta + \sec \theta - ( {sec}^{2}\theta - {tan}^{2}\theta )} { \tan \theta - \sec \theta + 1 } \\ \end{gathered}$

We know,

$\begin{gathered}\boxed{\sf{ \:\rm \: {x}^{2} - {y}^{2} = (x + y)(x - y) \: \: }} \\ \end{gathered} \\$

So, using this identity, we get

$\begin{gathered}\rm \: = \:\dfrac { \tan \theta + \sec \theta - (sec\theta + tan\theta )(sec\theta - tan\theta )} { \tan \theta - \sec \theta + 1 } \\ \end{gathered}$

can be rewritten as

$\begin{gathered}\rm\:=\:\dfrac {(\sec \theta + tan\theta ) - (sec\theta + tan\theta )(sec\theta -tan\theta )} { \tan \theta - \sec \theta + 1 } \\ \end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:\dfrac {(\sec \theta + tan\theta ) \: \cancel{(1 - sec\theta + tan\theta )}} { \cancel{ \tan \theta - \sec \theta + 1} } \\ \end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:sec\theta + tan\theta \\\end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:\dfrac{1}{cos\theta } + \dfrac{sin\theta }{cos\theta } \\ \end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:\dfrac{1 + sin\theta }{cos\theta } \\ \end{gathered}$

<h2>Hence,</h2>

$\begin{gathered} \\ \rm\implies \:\boxed{\sf{ \:\rm \: \dfrac { \tan \theta + \sec \theta - 1 } { \tan \theta - \sec \theta + 1 } = \:\dfrac{1 + sin\theta }{cos\theta } \: \: }} \\ \\ \end{gathered}$

$\rule{190pt}{2pt}$

5 0

2 years ago

4 ^ (- x) + 5 = 3 ^ x + 4 A ≈ 3/8 B ≈ 7/16 C ≈ 1/4 D ≈ 5/16

Dafna1 [17]

Answer:

4 ^ (-x) + 5 = 3^ x + 4

Step-by-step explanation

i think its c = 1/4

Pls give brainiest

7 0

2 years ago