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Dennis_Churaev [7]
2 years ago
13

Write a inequality for the graph below

Mathematics
1 answer:
max2010maxim [7]2 years ago
7 0

Answer:

X ≥ -6

Step-by-step explanation:

since the arrow is pointing towards the right side i.e tending towards x

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The temperature outside is currently 10°F. It will fall at a constant rate of 3°F per hour. Which temperature will it be in 4 ho
Elenna [48]

Answer:

The temperature in 4 hours = -2 °F

Thus, option (D) is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y = mx+b

where m is the rate of change or slope and b is the y-intercept

  • Let 'y' be the temperature
  • Let 'x' be the time of the temperature in the hour

Given that the current temperature outside = 10°F.

Thus, the y-intercept = b = 10°F

Given that as the day went on, It will fall at a constant rate of 3°F per hour.

Thus, the slope or rate of change = -3°F

(The rate of change or slope is -3 because the temperature is reducing)

Thus, the rate of change = slope = m = -3

Thus, substituting m = -3 and b = 10 in the equation

y = mx+b

y = -3x + 10

Now, substituting x = 4 to determine the temperature after 4 hours.

y = -3(4) + 10

y = -12 + 12

y = -2 °F

Therefore, the temperature in 4 hours = -2 °F

Thus, option (D) is true.

5 0
3 years ago
What is the standard form of the equation<br><br>Center (-14,5), circumference: 22π
IRISSAK [1]

The standard equation for a circle with center at (h,k) and radius r is

(x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle.

The formula for the circumference of a circle is C = 2pi*r.  In this particular problem, we need to determine the radius of the circle.  That radius is:  r = C/[2pi].  Here, C = 22pi, so we get r = 22pi/[2pi], and so r^2 = 11^2.

Putting to use the given info, we have:

(x+14)^2 + (y-5)^2 = 11^2

6 0
3 years ago
At a local preschool, there is a ratio of 3 boys to every 4 girls. If there are 245 total preschoolers enrolled, then how many a
Reika [66]

Set up the equation by writing the number of students in the ratio as a fraction:

3/4= (245-x)/x Cross multiply:

3x= 4(245-x) Multiply on right:

3x= 980-4x Add 4x on both sides:

7x= 980 Divide both sides by 7:

x= 140 this is how many girls there are. And:

245-140= 105= boys

5 0
2 years ago
Read 2 more answers
Draw a number line that includes both positive and negative integers from +5 to -5.
aleksandrvk [35]

Answer:

5 4 3 2 1 0 -1 -2 -3 -4 -5

Step-by-step explanation:

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