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3 years ago

Which linear function shows a direct variation?

Mathematics

2 answers:

Alexandra [31]3 years ago

8 0

Answer:

Step-by-step explanation:

graph d

Vinvika [58]3 years ago

7 0

Answer:

D. Graph D

Step-by-step explanation:

We know that, 'Direct Variation or Directly Proportional' is relationship between two variables where one is a constant multiple of the other.

That is, if one variable changes, the other variable also changes in proportion to the first variable.

The general form of 'Direct Variation' is y = kx, where k is a constant i.e. it does not have a y-intercept.

Now, according to our options, we see that the figures of A,B,C are the graphs of the straight lines given by y =-2x+2 , y=2x+2, y=-2x+2 respectively.

Each of these three equations have y-intercept, therefore cannot be the equations of a direct proportion.

Now, in option D, the figure is the graph of straight line y = -x and has no y-intercept.

Hence, the linear function in Graph D shows a direct proportion.

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6) 8x + 38 =-34-6 - 4x)

nlexa [21]

Answer:

-6.5 would be your answer

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,

Tresset [83]

Answer:

$\boxed{y=2x^2+4x-7}$

Step-by-step explanation:

Let the quadratic function be

$y=ax^2+bx+c$

We substitute $(-4,9)$ into the equation to obtain;

$9=a(-4)^2+b(-4)+c$

$\Rightarrow 9=16a-4b+c---(1)$

We substitute $(0,-7)$ to obtain;

$-7=a(0)^2+b(0)^2+c$

$\Rightarrow c=-7---(2)$

We finally substitute $(1,-1)$ to obtain;

$-1=a(1)^2+b(1)^2+c$

$\Rightarrow -1=a+b+c---(3)$

We put equation (2) into equation (1) to get;

$9=16a-4b-7$

$16a-4b=16$

$\Rightarrow 4a-b=4---(4)$

$\Rightarrow -1=a+b-7$

$\Rightarrow a+b=6---(5)$

We add equation (4) and (5) to get;

$4a+a=6+4$

$\Rightarrow 5a=10$

$\Rightarrow a=2$

We put $a=2$ into equation (5) to get;

$2+b=6$

$\Rightarrow b=6-2$

$\Rightarrow b=4$

The reqiured quadratic function is

$y=2x^2+4x-7$

7 0

3 years ago

PLS HELP ME NEED FOR MATH PLS

enot [183]

y = 25x + 263 this equation represents how much money she will have, including her saving.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are present. The variables in the above equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We have,

The saved amount of $263 by Jenna,

and also she earns $25 per day

if x represents the number of days she works,

and let's take y as the total amount she will have.

Then the equation becomes:
y = 25x + 263

Hence, y = 25x + 263 this equation represents how much money she will have, including her saving.

To learn more about the linear equation visit,

brainly.com/question/2030026

#SPJ1

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1 year ago

ILL GIVE BRAINLIST FOR CORRECT ANSWERS<br> NEED HELP ASAPPP to the question on the picture

kondaur [170]

Choice b would be correct since the slope of the line is negative !

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3 years ago

Read 2 more answers

Mitch is saving money to go on a camping trip this summer. So far he has saved $160 which is 40% of the money needed to go on th

faust18 [17]

I think the answer is D.

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4 years ago