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grandymaker [24]
2 years ago
13

Consider the system of inequalities and its graph. y ≤ –0.75x y ≤ 3x – 2 On a coordinate plane, 2 solid straight lines are shown

. The first line has a negative slope and goes through (negative 8, 6) and (0, 0). Everything below the line is shaded. The second line has a positive slope and goes through (negative 2, negative 8) and (2, 4). Everything to the right of the line is shaded. The section in quadrant 1 is labeled 3, the section in quadrant 2 is labeled 2, the section in quadrant 3 is labeled 1, and the section in quadrant 4 is labeled 4. In which section of the graph does the actual solution to the system lie? 1 2 3 4
Mathematics
2 answers:
ella [17]2 years ago
8 0

Answer:

4

Step-by-step explanation:

the answer is 4 so d on edge .

Rufina [12.5K]2 years ago
4 0

Answer:

4

Step-by-step explanation:

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A trail runner gets a new map of her favorite mountain. • Her old map has a scale of 1 cm to 100 m. • Her new map has a scale of
KIM [24]

Answer:

The trail on her new map is 8 cm

Step-by-step explanation:

Here, we are interested in knowing the the length of the trail on the new map.

The scale on her old map is 1 cm represents 100 m

While her new map has a scale of 1 cm to 500 m

Now, running a trail of 40 cm on her old map, we need to get the actual distance.

The actual distance will be 40 * 100 = 4,000 m

Now, we shall convert this to the new map scale

We simply convert this to cm in the new map scale by dividing the 4,000 m by 500 m

That would be 4,000/500 = 8 cm

So the trail on her new map is 8 cm

3 0
2 years ago
If 2 pounds of strawberries cost $4.50 how much would 3 pounds cost?​
Kipish [7]

Answer:

Step-by-step explanation:

If 2lbs costs $4.50, then most likely 1lbs would be half of what 2lbs cost.

So take $4.50÷2= $2.25

Then take the cost of 2lbs @ $4.50 then add the $2.25 (essentially the cost per pound) and 3lbs would cost $6.75.

5 0
2 years ago
Read 2 more answers
april bought some sports drinks and slices of pizza for her friend. she bought 3 more sports drinks than slices of pizza. if her
statuscvo [17]

Let the number of sports drinks April bought be represented by = s

Let the pizza slices April bought be represented by = p

As she spent a total of $21.25 so equation becomes:

s+p=21.25

p+3+p=21.25

2p=18.25

p=9.125

As she bought 3 more sports drinks than pizza slices so, s = p+3

8 0
2 years ago
Read 2 more answers
An arrow is shot at an angle of θ=45∘ above the horizontal. The arrow hits a tree a horizontal distance D=220m away, at the same
Alborosie

Let us solve the Part A first. 

In order to find the time we use the formula for the range of a projectile:

R = v^2 multiply by sin(2θ) divided by g

220 = v^2 multiply by sin(2 multiply by 45) divided by 9.8

220 = v^2 divided by 9.8

V^2 = 2,156

v = 46.43 m/s

Now we will find the x component of the velocity:

vx = sin(θ) multiply by v

vx = cos(45) multiply by 46.43

vx = 32.83 m/s

So the time it takes for the arrow to travel 220 m is the same as the time it is in the air:

time = d divided by  v

time = 220 divided by 32.83

time = 6.70 seconds

6.70 s.

Now we will solve the part B.

We will start by finding the time it takes for the apple to fall 6.0 m

d = v0 multiply by t + 1 divided by 2 at 2 square

6 = 0 multiply by t + 1 <span>divided by </span>2 multiply by 9.8 multiply by t^2

6 = 4.9 multiply by t^2

<span>t^2 = 1.2245</span>

t = 1.1066 s

Thus the arrow needs 6.70 s to reach the tree, so we will just subtract for the difference:

wait = 6.70 – 1.1066

wait = 5.59 s

Hence the apple should be dropped 5.59 s after the arrow is shot.

I hope it helped

5 0
2 years ago
Read 2 more answers
Find the inverse of the function. y = 2x2 –4
Alex73 [517]

Answer:

The inverse function is y=\sqrt{\frac{x+4}{2}}


Step-by-step explanation:

The given function is y=2x^2-4.


This function is only invertible on the interval, x\ge 0.


To find the inverse on this interval, we interchange x and y.

x=2y^2-4


We now make y the subject to get,


x+4=2y^2


\Rightarrow \frac{x+4}{2}=y^2


\Rightarrow \pm \sqrt{\frac{x+4}{2}}=y


But the given interval is x\geq 0, This implies that, y\geq 0.


y=\sqrt{\frac{x+4}{2}}


4 0
2 years ago
Read 2 more answers
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