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vodka [1.7K]
3 years ago
13

PLEASE HELP !!! JIM :)

Mathematics
1 answer:
mamaluj [8]3 years ago
3 0
Problem 1

Plug (x,y) = (0,0) into the inequality
y < (2/3)x + 2
0 < (2/3)*0 + 2
0 < 0 + 2
0 < 2
The last inequality is true so we do shade the entire region that has the origin in it. In other words, the origin is in the shaded region. For this function, the origin is below the boundary line so the shaded region is below the line

Answer: choice D

==============================================================

Problem 2

x = number of liters of fruit syrup
y = number of liters of water

"The total number of liters of syrup (x) and water (y) is 7 liters" so x+y = 7 which leads to y = -x+7

This graph is the line through (0,7) and (7,0). Every choice seems to have this graph shown.

"Three times the number of liters of water he mixed was 6 more than twice the number of liters of syrup" so we have the equation 
3x = 2y+6
which solves to
y = (3/2)x - 3
This line goes through the points (0,-3) and (2,0)

Choice D looks cut off but it looks like choice D is the answer as its the only one with (0,-3) on the line

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Snezhnost [94]

Answer:

When point A with coordinates (0, -1) is reflected across the x-axis and mapped onto point A', the coordinates of A' will be (0, 1).

i.e A'(0, 1) is the image of point A after a reflection.

Hence, point A is reflected across the x-axis.

Step-by-step explanation:

When we reflect a point A across the x-axis, the value of 'y' gets negated, but the value of 'x' remains unchanged.

In other words, when point P with coordinates (x, y) is reflected across the x-axis and mapped onto point P', the coordinates of P' will be (x, -y).

Thus, the rule is:

P(x, y) → P'(x, -y)

Thus, when point A with coordinates (0, -1) is reflected across the x-axis and mapped onto point A', the coordinates of A' will be (0, 1).

i.e A'(0, 1) is the image of point A after a reflection.

Hence, point A is reflected across the x-axis.

4 0
3 years ago
Help me solve this pleaseee
Drupady [299]
Since they are equal to 90 degrees. (complimentary angles)

6x-11+7x+10= 90

Combine like terms.

13x-1= 90

Add one to both sides.

13x= 91

x= 7

Plug that into the b.

7(7)+10

49+10

59


I hope this helps!
~kaikers
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4 years ago
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you could use the formula y-y1=m(x-x1)(point slope form) where m is the slope, y1 is the first y point and x1 is the first x point.

For example if a line has slope 3 and passes through the points (5, 6), then the formula you would solve is y-6=3(x-5) to find the equation of the line in slope-intercept form and you should know what to do with everything else.

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