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3 years ago

Which graph represents the inequality y > 3 − x ?

Mathematics

1 answer:

viktelen [127]3 years ago

6 0

To solve this problem you must think in this way.

First we see that function y is greater than 3-x, conclusion is the following

shaded area must be above function. That condition is satisfied by the graph 3 and 4.

Then we write inequality in the slope form y> -x+3.

We see that the coefficient of direction is -1 (negative) which mean that the graph is decreasing. That condition is satisfied by the graph No 4.

The correct answer is graph number 4 ( or D.)

Good luck!!!

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Find the missing angle.

Sphinxa [80]

Answer:

$m\angle XYV=135^{\circ}$

Step-by-step explanation:

Notice that $m\angle XYV=m\angle XYW+m\angle VYW$ .

The diagram already marks $m\angle VYW=80^{\circ}$ , so we just need to find $m\angle XYW$ .

$\angle TYU$ and $\angle XYW$ are vertical angles, which means they are equal in measure.

Therefore,

$m\angle TYU=m\angle XYW=6x+7$

Since there are $180^{\circ}$ on each side of a line, we have the following equation:

$m\angle XYW+m\angle VYW+m\angle UYV=180^{\circ},\\6x+7+13+4x+80=180,\\10x+20=100,\\10x=80,\\x=8$ .

Plugging in $x=8$ , we have:

$m\angle XYW=6(8)+7=55^{\circ}$ .

Therefore,

$m\angle XYV=55^{\circ}+80^{\circ},\\m\angle XYV=\fbox{$135^{\circ}$}$ .

5 0

3 years ago

Vavilen inflated a huge balloon in 19 minutes. Then he poked a hole in the balloon so that it slowly leaked air out until it was

kaheart [24]

Considering balloon to be an spherical object

Volume of sphere = $\frac{4}{3}\pi r^3$ , where r is the radius of sphere.

After 19 minutes ,If radius of balloon changes from r to R, the Volume changes from V to V'.

V'= $\frac{4}{3}\pi R^3$ ,

As given,rate at which the air leaked out of the balloon (in liters of air per minute) was half of the rate at which Vavilen inflated the balloon.

Also, $\frac{dR}{dt}=2 \times \frac{dr}{dt}$

Now, again the radius changes from R to r.So, Volume changes from V' to Back to V.

Time taken by the balloon to deflate = 38 minutes

But there is no relation between time and volume of Balloon.

So, we can't predict at which rate balloon is deflating or inflating.Apart from the statement given in Question: $\frac{dR}{dt}=2 \times \frac{dr}{dt}$

7 0

3 years ago

Read 2 more answers

Help on 10 - 15 plss

yawa3891 [41]

Answer:

This is one the situations like "hey ma, I don't know." You should learn to do this yourself and not rely on other digital people. IF I WERE TO HELP YOU, (you should really explain what you need) and the real directions

Step-by-step explanation:

5 0

2 years ago

Math question plz help me

Minchanka [31]

Answer:

The required equation of the line is:

$y=\frac{1}{4}x-1$

Step-by-step explanation:

Given the equation

$y=-4x+3$

comparing the equation with the slope-intercept form

$y=mx+b$

Here,

m is the slope

y is the intercept

so the slope of the line is -4.

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: 1/4

Therefore, the point-slope form of the equation of the perpendicular line that also intersects the point (8, 1) is:

$y-y_1=m\left(x-x_1\right)$

$y-1=\frac{1}{4}\left(x-8\right)$

add 1 to both sides

$y-1+1=\frac{1}{4}\left(x-8\right)+1$

$y=\frac{1}{4}x-1$

8 0

3 years ago

Using the quadratic formula to solve 7x^2-x=7, what are the values of x?

ycow [4]

Quadratic equation is $x= \frac{-b {\pm} \sqrt{ b^{2}-4ac}}{2a}$ WHEN
$a x^{2} +bx+c=0$

So, to make this true subtract 7 from each side.

The equation is now 7 $x^{2}$ - x - 7 = 0

Values for a, b, and c: a = 7, b = -1, c = -7

Plug these variables into the quadratic equation.

$x= \frac{1 {\pm} \sqrt{ -1^{2}-4*7*-7}}{2*-7}$

Square -1 to get 1 and multiply -4 x 7 x -7 to get 196.

$x= \frac{1 {\pm} \sqrt{1+196}}{2*-7}$

Multiply 2 x -7 to get -14, the denominator, and add 1 to 196.

$x= \frac{1 {\pm} \sqrt{197}}{-14}$

Since 197 is not a square number, and I don't know if you want to leave it in radical form or not, I will just because it's easier to understand.

Hope this helps!

8 0

3 years ago