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2 years ago

Which is the graph of the system x+3y>-3 and y<1/2x+1?

Mathematics

1 answer:

zloy xaker [14]2 years ago

8 0

Answer:

The y-intercept of the first inequality is -1.

The y-intercept of the second inequality is +1.

The fourth graph has these correct.

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The ratio of height of a bonsai ficus tree to the height of a full-size ficus trees is 1:9 the bonsai ficus is 6 inches tall wha

kotykmax [81]

To solve this relationship simply make them equal to each other and find the correct value to multiply both the top and cotton numbers and solve,
In this case because of the initial ratio of 1:9, if the bonsai ficus is 6 then 54 inches would be the full size.

8 0

2 years ago

What two numbers multiply to -126 and add up to -65

Airida [17]

Xy = -126
x + y = -65

$xy = -126$
$\frac{xy}{x} = \frac{-126}{x}$
$y = \frac{-126}{x}$

$x + y = -65$
$x + \frac{-126}{x} = -65$
$\frac{x^{2}}{x} + \frac{-126}{x} = -65$
$\frac{x^{2} - 126}{x} = -65$
$-65x = x^{2} - 126$
$0 = x^{2} + 65x - 126$
$x = \frac{-(65) \+ \sqrt{(65)^{2} - 4(1)(-126)}}{2(1)}$
$x = \frac{-65 \± \sqrt{4225 + 504}}{2}$
$x = \frac{-65 \± \sqrt{4729}}{2}$
$x = \frac{-65 \± 68.8}{2}$
$x = \frac{-65 + 68.8}{2}$ $or$ $x = \frac{-65 - 68.8}{2}$
$x = \frac{3.8}{2}$ $or$ $x = \frac{-133.8}{2}$
$x = 1.9$ $or$ $x = -66.9$

x + y = -65
  1.9 + y = -65
- 1.9   - 1.9
y = -66.9
  (x, y) = (1.9, -66.9)

or

  x + y = -65
  -66.9 + y = -65
+ 66.9 + 66.9
y = 1.9
  (x, y) = (-66.9, 1.9)

The two numbers that add up to -65 and can multiply to -126 are the numbers -66.9 and 1.9.

3 0

3 years ago

Deane is flying to a destination that is 2745 miles away. The plane's average speed is 450 mph. Write the slope-intercept form o

Dmitriy789 [7]

The equation in y = mx+b form is y = -450x+2745

where,
x = number of hours that have passed by
y = distance to destination in miles

The y intercept is 2745 since this is the initial starting y value, aka the starting distance. Therefore b = 2745.

The slope is -450 or -450/1 since for each hour, the distance goes down by 450. You can think of it as
slope = (change in y)/(change in x)
slope = (change in distance)/(change in time)
slope = (-450 miles)/(1 hour)
slope = -450

8 0

2 years ago

Need help with this math

serg [7]

we use the interest formula. 4000*1.03^11=1.38423387*4000=5536.93548, or 5536.94.

5 0

2 years ago

Find the solution to: -2x+7<-41

Karolina [17]

Answer:

x>24

Step-by-step explanation:

Solve like a normal equation :)

-2x<-48

Now we divide.

-x<-24

Note: Whenever dividing by a negative, you have to flip the sign of the inequality!

x>24

7 0

2 years ago

Read 2 more answers