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3 years ago

What is the solution set of {x | x < -3} ∩ {x | x > 5}?

Mathematics

1 answer:

solniwko [45]3 years ago

5 0

x <-3 includes the numbers-4, -5, -6..........

x> 5 includes the numbers 6, 7 , 8.....

here we have to find intersection of these two.

By intersection we mean the values of x that occur in both the sets,

here there is no number or value of x that occur in both the sets.

So answer is empty set

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A model of a house has been drawn on a coordinate grid. One corner of the house has

sp2606 [1]

Answer:

$Point(9,1)$

Step-by-step explanation:

Given

Point: (6,3)

Required

Translate 2 units down and 3 units left

Taking the translation 1 after other

When a function is translated down, only the y axis is affected;

2 units down implies that, 2 be subtracted from the y value.

The function becomes

$Point: (6, 3 - 2)$

$Point: (6, 1)$

3 units right implies that, 3 be added tothe x value.

The function becomes

$Point(3+6,1)$

$Point(9,1)$

Hence;

Option D answers the question

7 0

3 years ago

Find the value for β that makes cosβ = sin15 true.

Gemiola [76]

Answer:

Step-by-step explanation:

This is an equation for which you need to solve for the value of the missing angle beta.

$cos\beta =sin(15)$

sin(15) has a decimal answer that you will find on your calculator. Finding that value makes this equation then

cosβ = .2588190451

Now use the 2nd button and then the cos button to find the angle that has a cos of that decimal. When you hit 2nd then cos, you should see this on your screen:

cos⁻¹ (

After that open parenthesis, enter you decimal then hit the enter button to find the angle. You should get 75, which is Choice B.

8 0

3 years ago

Write an expression describing all the angles that are coterminal with 141°.

MA_775_DIABLO [31]

<span>The coterminal angles of angle A are given by adding k times 360° to it, where k is an integer, positive or negative. Similarly, all angles that are coterminal with 141° are given by 141° + k * 360° where k is a positive or negative integer. That is 141° + 360°, 141 + 2*360° , 141+3*360° and so on and 141° - 360°, 141° -2*360°, 141° - 3*360° and so on. 9720)</span>

7 0

3 years ago

Evaluate -5x^2 − 8x + 1 when x = -3.

Yakvenalex [24]

Hello.

Answer: 70

New equation: −5(−3^2)−(8)(−3)+1

How to get the answer:

(−5)(−9)−(8)(−3)+1

=45−(8)(−3)+1

=45−(−24)+1

=69+1

=70

Have a nice day

7 0

3 years ago

The average length of an adult eastern coach whip snake is 152.4 centimeters write a sentence comparing its length to the other

crimeas [40]

Answer:

The eastern coach whip snake is:

i. 88.9 cm longer than the Copperhead snake

ii. 88.9 cm longer than the Western cottonmouth snake

iii. 30.8 cm longer than the Timber rattlesnake

iv. 91.4 cm longer than the Queen snake

Step-by-step explanation:

The average length of the adult eastern coach whip snake is 152.4 centimeters.

The length of the Copperhead snake is 63.5 centimeters

The difference between 152.4 and 63.5 is 152.4-63.5=88.9

Therefore the eastern coach whip snake is 88.9 cm longer than the Copperhead snake

The Western cottonmouth is 63.5 cm just the same length as the copperhead snake.

Hence, the eastern coach whip snake is also 88.9 cm longer than the Western cottonmouth snake

The Timber rattlesnake is 121.6 cm long. Since 152.4-121.6=30.8, the eastern coach whip snake is 30.8 cm longer than the Timber rattlesnake

Also, 154.2-61=91.4

Therefore the eastern coach whip snake is 91.4 cm longer than the Queen snake.

6 0

3 years ago