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bagirrra123 [75]
2 years ago
11

1.) y + 3 > 7 what’s the answer?

Mathematics
2 answers:
sasho [114]2 years ago
7 0

Answer:

Yes you are right it is option 4

Step-by-step explanation:

shusha [124]2 years ago
7 0

Answer:

Option 4

Step-by-step explanation:

By it has to be greater than 4 so it would be above it

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Please help ASAP IM IN DESPREATE NEED OF HELP
Advocard [28]

Answer:

See the attached image for the graph of the first system.

Step-by-step explanation:

Here's how to graph the first system.

Start with the inequality -y \le -2x-3.  You can make this easier to work with by multiplying through by -1.  Remember to switch the inequality sign when multiplying by a <u>negative</u> number.  OK, you get the inequality

y \ge 2x+3.

The graph will be a half-plane -- all the points on one side of a line.  The line that is the boundary of the half-plane has an equation:  y=2x+3 -- just use an  =  sign instead of the inequality sign.

Graph the line.

The equation of the line is in slope-intercept form:  y = mx + b, so you can tell the y-intercept is 3 and the slope is 2 (think of it as a fraction 2/1).  Graph the line by going to the point (0, 3) -- the y-intercept -- then use the slope 2/1 interpreted as "rise over run" to go up 2 units and right 1 unit, arriving at the point (1, 5).  Draw the line through those points, (0, 3) and (1, 5).

Now you have to decide which side of the line the inequality y \ge 2x+3 is describing. To do this, pick a point which is not on the line, plug its coordinates into the inequality; if the result is true, shade the side of the line the point you picked is on (if false, shade the <u>other</u> side!)

An easy point to pick in this case is the origin, (0, 0).  Put zeros in for x and y in the inequality, and you'll get the statement 0 \ge 2(0)+3 \, \Rightarrow \, 0 \ge 3.  That's <u>false</u>, so shade the side of the line <u>not</u> containing the origin.  In the image below, the shading is in purple.

All right, now for the other inequality, x+2\le 0.  Subtract 2 from both sides and the inequality becomes x \le -2.  This, too, graphs as a half-plane whose boundary line has equation x=-2.  Graph the line.  A line with an equation that has  x  in it but not  y is a vertical line with all its x-coordinates equal to the number on the right side of the equation.  This line is vertical and goes through points such as (-2, 0).

Pick a point <u>not</u> on the line (the origin works again).  Put the coordinates into the inequality to get 0\le -2 which is <u>false</u>.  Shade the side of the vertical line which does <u>not</u> contain the origin.  In the image below, the shading is in black.

Finally,  YAY!  \o/ ,  the solutions to the system are all the points in the plane that got shaded twice.  In the image, they are the cross-hatched points above the purple line and to left of the black line.

Note: If you get a system with three inequalities, you'll be graphing three half-planes and looking for points that got shaded three times!

Note: One of your questions has the inequalities x \ge 0 and y \ge 0 in it.  These two inequalities say that the x and y coordinates are both positive or zero, confining your attention to Quadrant I in the upper-right part of a graph, above the x-axis <u>and</u> to the right of the y-axis.

7 0
3 years ago
It has been estimated that the population of Indianapolis is growing at a rate of 0.9% per year. Assuming that population growth
Mumz [18]

Answer:

<em>2,136,605</em>

<em />

Step-by-step explanation:

To estimate growth, we use the formula shown below:

F=P(1+r)^t

Where

F is the future amount (we want to find for Jan 2024)

P is the present amount (present population of 1,988,817)

r is the rate of growth (0.9% means 0.009)

t is the time in years (from Jan 2016 to Jan 2024 is 8 years, t = 8)

<em>Let's put these into the formula and figure out F:</em>

<em>F=P(1+r)^t\\F=1,988,817(1+0.009)^8\\F=2,136,604.5</em>

<em />

<em>Rounding we get the population in Jan 2024 to be </em><em>2,136,605</em>

3 0
3 years ago
A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and estimates the angle of eleva
Ulleksa [173]
This question uses trig

sin(55) = height/195

Therefore, height = 195sin(55) meters (just plug in calculator)
7 0
2 years ago
Can 10-12 be solved Answer Fast!!!!!!
zzz [600]

Answer:

10/------   5x+2y=14

11/------   1x+6y=2

12/ -----    9x+6y=12

6 0
2 years ago
The distance from Talamunda to Velcicrita is 700 miles. The train takes 5 hours to travel the distance. At what unit rate is the
erica [24]
The train's rate 140 mph.  700 divided by 5 equals 140.
4 0
3 years ago
Read 2 more answers
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