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3 years ago

Model the function rule y = -2x -3 with a table of values. Show your work.

1 answer:

7 0

Equation ==> y = -2x - 3

When x = 0
y = -2(0) - 3
y = -3

When x = 1,
y = -2(1) - 3
y = -5

When x = 2,
y = -2(2) - 3
y = -7

$\boxed{ { \cfrac {x ,\\\\\ 0 ,\\\\\ 1 ,\\\\\ 2}{y , -3 , -5 , -7} } }$

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Solve the inequality<br><br> x/2 + x/3 <5

tester [92]

Answer: x<6

Step-by-step explanation:

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3 years ago

Draw an angle in standard position whose terminal side contains the point

kvasek [131]

Answer:

The distance of the point from the origin = 9.29 units.

Step-by-step explanation:

Given point:

(7,-6)

The angle lies such that the terminal side of the angle contains the given point.

To draw the angle and find the distance from the origin to the given point.

Solution:

The terminal side of the angle is where the angle ends with the initial side being the positive side of the x-axis.

So, we can plot the point (7,-6) by moving 7 units on the x-axis horizontally and -6 units on the y-axis vertically.

We can find the distance of the point from the origin by find the hypotenuse of the triangle formed.

Applying Pythagorean theorem.

$Hypotenuse^2=Shorter\ Leg^2+Shortest\ Leg^2$

$Hypotenuse^2 = (7)^2+(-6)^2$

$Hypotenuse^2=49+36\\Hypotenuse^2=85$

Taking square root both sides :

$\sqrt{Hypotenuse^2}=\sqrt{85}$

$Hypotenuse = 9.29\ units$

Thus, the distance of the point from the origin = 9.29 units.

The figure is shown below.

5 0

3 years ago

Find the measure of the indicated arc

taurus [48]

Answer:

m(ABC) = 218°

Step-by-step explanation:

The measure of any arc with end points of an inscribed angle = 2 × inscribed angle

Inscribed angle = m<AMC = 109°

Intercepted arc = m(ABC)

Therefore,

m(ABC) = 2 × 109°

m(ABC) = 218°

7 0

3 years ago

Write the equation you would use to find x, then solve for x.

goldfiish [28.3K]

Answer:

x + 6x+10 + x+2 = 180

x = 21

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

x + 6x+10 + x+2 = 180

Combine like terms

8x + 12 = 180

Subtract 12 from each side

8x+12-12 = 180-12

8x =168

Divide each side by 8

8x/8 = 168/8

x =21

6 0

3 years ago

Read 2 more answers

The percent frequency distributions of job satisfaction scores for a sample of information systems (IS) senior executives and mi

Lesechka [4]

Answer:

c. 0.83

d. 0.28

Step-by-step explanation:

See solution below

8 0

3 years ago