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3 years ago

Write an inequality for the graph below

Mathematics

1 answer:

andrezito [222]3 years ago

6 0

Answer:

y > -1/4x + 4

Step-by-step explanation:

First find the equation of the line itself, which is y = -1/4x + 4, then determine if graph shades above the line or below the line. If it shades above which is true in this case, it will be greater than. If it shades below which does not occur in this case, it will be less than. Because the line is dashed and not solid, it will just be greater than or less than.

Therefore y = -1/4x + 4 → y > -1/4x + 4 [Shades above the line, line is dashed].

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Find the value of x that makes this equation true, just write a number for your answer. Use / for writing fractions

Tcecarenko [31]

Answer:

1/15

Step-by-step explanation:

The first thing to do is to change both denominators so that they're the same. In this case, that would be 15.

Then, whatever you do to the denominator, you must also do to the numerator.

$\frac{9}{15}$ + x = $\frac{10}{15}$

X = 1/15

6 0

4 years ago

Read 2 more answers

Which expression could be substituted for y in the second equation to find the value of x?

EastWind [94]

value of x is $x=-\frac{29}{4}$ and value of y is $y=-\frac{9}{2}$

Step-by-step explanation:

We need to find Which expression could be substituted for y in the second equation to find the value of x

The given equations are:

$2x-y=-10\,\,\,(1)2x - 3y= -1\,\,\,\,(2)$

For putting value of y in second equation, we will find from equation 1

From equation 1:

$2x-y=-10\\-y=-10-2x\\y=10+2x$

Putting value of y i.e y=10+2x in equation (2) to find value of x

$2x-3y=-1\\2x-3(10+2x)=-1\\2x-30-6x=-1\\-4x=-1+30\\-4x=29\\x=\frac{29}{-4}\\x=-\frac{29}{4}$

So, now finding value of y by putting value of x= -29/4 in eq(1)

$2x-y=-10\\2(-\frac{29}{4})-y=-10\\-\frac{29}{2}-y=-10\\-y=-10+\frac{29}{2}\\ -y=\frac{-20+29}{2}\\ -y=\frac{9}{2}\\ y=-\frac{9}{2}$

So, value of x is $x=-\frac{29}{4}$ and value of y is $y=-\frac{9}{2}$

Keywords: System of equations

Learn more about System of equations at:

#learnwithBrainly

6 0

4 years ago

- If f ( x ) = x² + 2x - 1 and g ( x ) = 3x - 2 , then verify the following :

RideAnS [48]

Step-by-step explanation:

Hey there!

Given;

f ( x ) = x² + 2x - 1

g ( x ) = 3x - 2

To verify:

$( \frac{f}{g} )(2) = \frac{f(2)}{g(2)}$

LHS:

$(\frac{f}{g} )(x) = \frac{ {x}^{2} + 2x - 1}{3x - 2}$

~ Insert "2" instead of "x".

$(\frac{f}{g} )(2) = \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}$

Simplify it;

$\frac{f}{g} (2) = \frac{4 + 4 - 1}{6 - 2}$

Therefore; (f/g)(2) = 7/4.

RHS:

$\frac{f(x)}{g(x)} = \frac{ {x}^{2} + 2x - 1}{3x - 2}$

~Insert "2" instead of"x".

$\frac{f(2)}{g(2)} = \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}$

Simplify it.

$\frac{f(2)}{g(2)} = \frac{4 + 4 - 1}{6 - 2}$

Therefore, f(2)/g(2) = 7/4.

Since (f/g)(2) = f(2)/g(2) = 7/4.

Proved!

Hope it helps!

3 0

3 years ago

1. Which of the following is NOT a function? *

nata0808 [166]

The last one isn’t
there can’t be more than 1 of the same x value

5 0

3 years ago

Pls help asap thanks and show how you solved it you will get extra credit from me

irinina [24]

What grade are you in today school work is getting to hard

4 0

4 years ago