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prisoha [69]
2 years ago
12

HELP FASTTTT Which graph shows the solution to the system of linear inequalities ?

Mathematics
2 answers:
Anastasy [175]2 years ago
6 0
First, look at the equation
y < x + 1
We can find the line
y = x + 1
on a graph (drawing attached). It forms a diagonal line. Since y is less than, not equal, to x + 1, we shade the graph below that line.

Only one graph shows this correctly.

To find the graph for the equation
x - 4y \leqslant 4
we first have to simplify the equation:
x - 4y \leqslant 4 \\  - 4y \leqslant 4 - x \\ y \geqslant  - 1 +  \frac{1}{4} x \\ y \geqslant  \frac{1}{4} x - 1
First, we subtract x from both sides.
Then we divide -4 from both sides, switching the direction of the inequality because we divided by a negative number.
We can now use this equation to find a graph.

The greater than or equal to sign means that we shade upward from the line (drawing attached).
y =  \frac{1}{4} x - 1


As for which graph, it is graph #1, since the line for
y < x + 1
is a dotted line, not a solid line, because the < sign prevent the equation from fully reaching the line.

Mice21 [21]2 years ago
4 0
Well, we do not see the lines clearly (if they are dotted (inequality) or solid (inequality or equal) ), but we'll come back to this.

y<x+1  can be simplified to be y<x if we ignore the constants, so the valid part is BELOW the line, since (y<)

x-4y <=4
again, ignore the constants and simplify to 
x-y<0 or
y>x   so the valid part is ABOVE the line (since y>)

There are two graphs that satisfy BOTH conditions, pink (slope=1) at the bottom, and blue (slope = 1/4) on top, i.e. first and third graph.

For the absolute inequality (y<x+1), the red line must be dotted.
For the <= condition, the blue line must be solid.

As we cannot see the lines clearly, you will make the choice between the first and third graphs according to the previous paragraph.

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4/6 + 1/12. Quick answer.
Fynjy0 [20]

nvm lol 3/4( had to redo

6 0
3 years ago
HELP ME PLEASEE ASAP!!!! PLEASEE
11111nata11111 [884]

Answer:

<h2>25</h2>

Step-by-step explanation:

So there is this property,

Sum of two angle of triangle = exterior angle

So based on this we can form an algebraic equation (NOTE: this is an equilateral triangle so all the sides are 60°)

4x + 20 = 60 + 60 \\ 4x = 120 - 20 \\ 4x = 100 \\ x =  \frac{100}{4}  \\ x = 25

So it's option B.

6 0
2 years ago
T=pd/2x<br><br><br><br>solve for X<br><br>i always get confused when theirs more then one letter
Ainat [17]
When there's more than one letter, and you just have to solve for one variable, you can just solve it like you would any other equation. Treat the other variables like numbers and add, subtract, multiply, and divide them to both sides of the equation in order to isolate the variable you want to solve for.

t= \frac{pd}{2x}  \\  \\ t*2x= \frac{pd}{2x}*2x \\  \\ 2tx=pd \\  \\  \frac{2tx}{2t} = \frac{pd}{2t}  \\  \\ x=\frac{pd}{2t}
7 0
3 years ago
Read 2 more answers
NEED ANSWER ASPA.... PLS HURRY
a_sh-v [17]
We have that
y=- x^{2} +36

we know that
Is the equation of a vertical parabola open down
so
the vertex is a maximum

step 1
convert the equation of the parabola in the vertex form
y=- x^{2} +36 \\ y-36=- x^{2}

the vertex (h,k) is the point (0,36)

Part a) The point on the graph where the height of the tunnel is a maximum is (0,36)

Part b) The points on the graph where the height of the tunnel is zero feet is when y=0
so
for y=0
- x^{2} +36=0 \\ x^{2} =36 \\ x= (+/-) 6

the points are (-6,0)  and (6,0)

see the attached figure 

5 0
3 years ago
The midpoint of AB is M(-4,-3). If the coordinates of A are (-1, -2), what
marysya [2.9K]

Answer:

B(-7,-4)

Step-by-step explanation:

Let the co-ordinates of B be (x_{2},y_{2})

If a point M(x,y) is a mid-point of line segment AB with A(x_{1},y_{1}) and  B(x_{2},y_{2}), then:

x=\frac{x_{1}+x_{2}}{2}\\y=\frac{y_{1}+y_{2}}{2}

Here, M(x,y) is M(-4,-3), A(x_{1},y_{1}) is A(-1,-2).

So, x = -4, y = -3, x_{1} = -1, y_{1}=-2

Plug in the formula and solve for unknowns.

x=\frac{x_{1}+x_{2}}{2}\\-4=\frac{-1+x_{2}}{2}\\x_{2}=-8+1=-7\\\\y=\frac{y_{1}+y_{2}}{2}\\-3=\frac{-2+y_{2}}{2}\\y_{2}=-6+2=-4

Therefore, the co-ordinates of point B are B(-7,-4)

4 0
3 years ago
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