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Fofino [41]
4 years ago
9

Graph the three parts of inequality 1 < x + 3 < 9

Mathematics
1 answer:
Fittoniya [83]4 years ago
5 0
First part:  1 is less than the sum of x and 3:  1 < x+3.
Second part:  the sum of x and 3 is less than 9.
Obviously 1 < 9.

Taking another look at 1<x+3, we can solve for x:  -2<x.  Draw a dashed vertical line thru x = -2.
Taking another look at x+3<9, subtract 3 from both sides.  Then x<6.
Draw a dashed vertical line thru x=6.

Shade the area between these two vertical lines to obtain the desired graph.
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Write the slope-intercept form of the equation of each line given the slope and y-intercept
amid [387]
The slope-intercept form of the equation for a line is ...
  y = (Slope)x + (y-intercept)

Put the given information in the appropriate spot in the equation. Simplify as required.
  y = (-1/3)x + 0
can be simplified to

y = (-1/3)x
6 0
3 years ago
13 points !!-1/4 &gt; 1/2
Brrunno [24]
-1/4 is less then 1/2 because -1/4 is negative and 1/2 is positive and also -1/4 is 25% and 1/2 is 50%
4 0
3 years ago
Please answer this correctly without making mistakes
AnnZ [28]

Answer:

10.99 inches

Step-by-step explanation:

7*2=14

diameter=14

circumference=diameter*pi

14*3.14=43.96

quarter circle

43.96/4=10.99

10.99 inches

7 0
3 years ago
Read 2 more answers
A pilot flew a 400-mile flight in 2.5 hours flying into the wind . Flying the same rate and with the same wind speed, the return
k0ka [10]

Answer:

20

Step-by-step explanation:

pilot flew a 400-mile flight in 2.5 hours flying into the wind . Flying the same rate and with the same wind speed, the return trip took only 2hours with a tailwind

The speed can be defined as the ratio distance over time, but in this case the pilot is flying at the speed of the plane as well of speed of the wind. We can denote speed of plane as "s" and speed of the wind as "k"

Then the speed of the plane=(s-k) this is because it is moving in the opposite direction of the wind.

But From the question, the plane distance=400mile and the corresponding time =2.5 h

Then the speed of the plane=(s-k) =400mile/2.5

=160mph

By the time it return from trip, the speed the plane flew with is (s+k) because the wind is at the rear.

From the question, the plane distance=400mile and the corresponding time =2 h

Then (s+k)= (400/2)

(s+k)=200mph

8 0
3 years ago
Solve this quadratic equation.<br><br> 6x2 - 2x = 7
rjkz [21]

Answer:

x₁ = (1 + √43)/6

x₂ = (1 - √43)/6

Step-by-step explanation:

6x² - 2x = 7

6x² - 2x - 7 = 0

Formula

ax² + bx + c = 0

a = 6 ; b = - 2 ; c = - 7

x₁/₂ = [-b ± √(b²- 4ac)]/2a

x₁/₂ = (2 ± √4 + 4×6×-7)/12

x₁/₂ = (2 ± √172)/12

x₁/₂ = (2 ± 2√43)/12

x₁/₂ = 2(1 ± √43)/12

x₁/₂ = (1 ± √43)/6

x₁ = (1 + √43)/6

x₂ = (1 - √43)/6

5 0
3 years ago
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