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3 years ago

Find the inequality represented by the graph.

Mathematics

1 answer:

Rainbow [258]3 years ago

5 0

Answer:

y>-2/3x+3

Step-by-step explanation:

Looking at the line, we notice that the y-intercept is 3, and the slope is -2/3, so using that information, we find the slope intercept form of the inequality, which is y(?)-2/3x+3 (the question mark is where the inequality symbol will be).

Looking at the line again, we see that it is shaded above (not below), so y is greater than the other side of the inequality.

Looking at the line AGAIN, we see the graph has a dashed line (not solid), so we are not dealing with an "or equal to" inequality.

Therefore, we should use the greater than symbol, creating the answer y>-2/3x+3.

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A pizza dlivery car can travel 11 km for every gallon of gasoline it uses. If the driver's average speed is 28 km/h, how many ho

Svetlanka [38]

Answer:

13.75 hours

Step-by-step explanation:

First, find how many km the driver can travel:

11(35)

= 385

Then, divide this by 28 to find how many hours the driver can travel:

385/28

= 13.75

So, the driver can travel 13.75 hours

8 0

2 years ago

Which equation gives the value of the circumference, C, of a circle with a diameter of 56 feet?

Alik [6]

Answer:

$C=\pi (56)$

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=\pi D$

where

D is the diameter

in this problem we have

$D=56\ ft$

substitute

$C=\pi (56)$ -----> equation that give the value of the circumference

$C=56 \pi\ ft$

5 0

2 years ago

Read 2 more answers

AC has endpoints<br> A(3,7) and C(6,11).<br> Find AB if B is the<br> midpoint of AC.

faltersainse [42]

Answer:

d=2.5

Step-by-step explanation:

first find the coordinate of B(mid point of AC):A(3,7) C(6,11)

d=√(6-3)²+(11-7)²

d=√3²+4²

d=√9+16=√25=5

since B is the mid point : d/2=5/2=2.5

<h2>Another way :</h2>

B(x1+x2/2 , y1+y2/2) , x1=3 , x2=6, y1=7, y2=11

B(9/2,18/2)

B(9/2,9)

Find AB : the length or distance between 2 points:

d=√(x2-x1)²+(y2-y1)²

d=√(3-9/2)²+(7-9)²

d=√(-3/2)²+(-2)²

d=√1.5²+4

d=√6.25

d=2.5

8 0

3 years ago

What is the solution of x-1/1-x < 0?

kykrilka [37]

Option C is correct option.

Step-by-step explanation:

We need to find the solution of $\frac{x-1}{1-x}$

The given inequality becomes undefined when x = 1 because the denomiator is: 1-x and if x = 1 then it becomes 1-1 = 0 and anything divided by zero is undefined.

So, all values other than 1 are included in the solution of the given inequality.

So, solution is: x<1 or x>1 but x≠1

So, Option C is correct because all numbers are included in number line except 1. An unfilled circle on 1 shows that it is not included in the solution. Rest of numbers are included.

Option C is correct option.

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

8 0

3 years ago

The ratio of boys to girls in a group is 7:3. If there are 40 more boys than girls, work out how many people there are in total.

LenaWriter [7]

Answer:

Step-by-step explanation:

7 - 3 = 4

7 + 3 = 10

4/10 = 40

10/10 = ?

10/10 x 40 x 10/4

= 100 people

7 0

3 years ago