Select the graph for the solution of the open sentence. Click until the correct graph appears. |x| > 1

Mathematics

1 answer:

Lisa [10]2 years ago

7 0

Answer:

See attachment

Step-by-step explanation:

The given inequality is $|x|>1$

By the definition of the absolute value function, we obtain the compound inequality.

$-x>1\:or\:x>1$

When we simplify we get:

$x1$

The graph for the solution set is shown in the attachment

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M(4, 2) is the midpoint of . The coordinates of S are (6, 1). What are the coordinates of R? (8, 0) (2, 3) (1.5, 3) (5, 1.5)

faltersainse [42]

Assuming M is midpoint of RS

the midpoint formula is

x term of the midpoint is average of the x value of the 2 points
y term of the midpoint is average of the y value of the 2 points

if R is (x,y)

S is (6,1)

x value of midpoint is 4
x value of S is 6
x value os R is x

so
average of x and 6 is 4,
(x+6)/2=4,
x+6=8,
x=2

y value of midoint is 2
y value of S is 1
y value of R is y

average of 1 and y is 2
(y+1)/2=2
y+1=4
y=3

the midpoint is (2,3)

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3 years ago

A plane requires 3300 gallons of fuel and 75 minutes to make a round trip to Prague, and it takes 5700 gallons of fuel and 130 m

PIT_PIT [208]

Fuel constraint:
.. 3300P +5700S ≥ 94500

Time constraint:
.. 75P +130S ≥ 2400

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2 years ago

Read 2 more answers

write the equation of the line that passes through the given points expressed in slope-intercept form. m=2/3, (-4,5)

solniwko [45]

Answer:

$y = \frac{2}{3}x + \frac{23}{3}$

Step-by-step explanation:

To write the equation of a line with a point and a slope, use the point-slope form of a linear equation. Substitute m = 2/3 and the point (-4,5) into the equation.

$y - y_1 = m(x-x_1)\\y - 5 = \frac{2}{3}(x --4)\\y - 5 = \frac{2}{3}(x+4)$