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Scorpion4ik [409]
2 years ago
6

Which situations can be modeled by a linear function?

Mathematics
1 answer:
Elenna [48]2 years ago
8 0

Answer:

A, C, E

Step-by-step explanation:

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Need help, please kfvleknfv
omeli [17]

Problem 18

Answers:

~P -> Q: "if it is not fall, then the leaves change colors"

~P -> ~Q: "if it is not fall, then the leaves don't change colors"

P -> ~Q: "If it is fall, then the leaves don't change colors"

Q -> ~P: "If the leaves change colors, then it is not fall"

----------

Explanation:

Simply replace each letter with the corresponding definition. We replace each P with "it is fall" and each ~P with "it is not fall". The squiggly line means "not". The same idea applies with Q and ~Q.

==========================================

Problem 19

Answer: Choice A) 134

----------

Explanation:

AB = CD

8x = 4x+24

8x-4x = 24

4x = 24

x = 6

BC = 18x+26

BC = 18*6+26

BC = 134

==========================================

Problem 20

Answer: Choice C) x = 5 and y = 11

----------

Explanation:

(anglePQR)+(angleRQS) = 90

(12x-2)+(6x+2) = 90

18x = 90

x = 5

angle TQU = 90

10y-20 = 90

10y = 110

y = 11

==========================================

Problem 21

Answer:  99

----------

Explanation:

The remote interior angles add to the exterior angle (remote interior angle theorem)

(angle RPQ) + (angle PQR) = angle PRS

(3x-29) + (7x-42) = 6x-3

10x-71 = 6x-3

10x-6x = -3+71

4x = 68

x = 68/4

x = 17

angle PRS = 6x-3

angle PRS = 6*17-3

angle PRS = 99

==========================================

Problem 22

Answer: 116

----------

Explanation:

Refer to the diagram below.

Solve 105+x = 180 to get x = 75

Solve 135+y = 180 to get y = 45

Solve x+y+z = 180 to get z = 60

Solve z+82+p = 180 to get p = 38

Solve p+78+q = 180 to get q = 64

Solve q+r = 180 to get r = 116

==========================================

Problem 23

Answer: B) between 4 and 44 inches

----------

Explanation:

We use a variation of the triangle inequality theorem here.

If p is the missing side length, then

24-20 < p < 24+20

4 < p < 44

So,

4 < XY < 44

The side XY cannot be 4 inches and it cannot be 44 inches either.

==========================================

Problem 24

4 Answers: A, B, C, D

----------

Explanation:

Same idea as problem 23

24-10 < x < 24+10

14 < x < 34

So we'll select values between 14 and 34, excluding each endpoint. Those values are x = 16, 18, 24, 26

In other words, only 12 and 34 are non-answers.

==========================================

Problem 25

Answer: C) 84 degrees

----------

Explanation:

The given exterior angle is 152 degrees

Subtract that from 180 to get the adjacent interior angle 180-152 = 28

Now let's find the missing angle of triangle DEB

D+E+B = 180

28+68+B = 180

96+B = 180

B = 180-96

B = 84

This is the measure of angle DBE

This is also the measure of angle ABC because the two angles are vertical angles.

Vertical angles are always congruent.

4 0
3 years ago
Whole numbers greater than 9 but less than 14
yaroslaw [1]
10, 11, 12, and 13 :)
6 0
3 years ago
Integrate with respect to x <br><br> 1/√(1-2x)
Ilia_Sergeevich [38]

Answer:

-√(1 - 2x) + C

Step-by-step explanation:

1/√(1-2x)

We want to integrate it. Thus;

∫1/√(1 - 2x) dx

Let u = 1 - 2x

Thus;

du/dx = -2

Thus, dx = -½du

Thus,we now have;

-½∫1/√(u) du

By application of power rule, we will now have;

-½∫1/√(u) du = -√(u) + C

Plugging in the value of u, we will have;

-√(1 - 2x) + C

3 0
2 years ago
Create a system of equations that includes one linear equation and one quadratic equation.
s344n2d4d5 [400]

Answer:

Hello sir,

Step-by-step explanation:

If you are in  a zoom meeting and want to get out of work tell me the code.

6 0
3 years ago
Use what you know about the properties to rewite each number sentence. Use mental math to find the sum. 0.6 + (0.4 + 0.9) = n an
dusya [7]

First Equation:

0.6 +(0.4+0.9) =n

Step 1: do parentheses first:  

0.4+0.9 = 1.3

Step 2: Add 0.6 + 1.3

0.6 + 1.3 = 1.9

n= 1.9

Second Equation:

(1.57 + 0.75) + 0.25 + n

Step 1: do parentheses first:

1.57 + 0.75 = 2.50

Step 2: Add 2.50 + 0.25 = 2.75

Step 3: Add 2.75 and n = 2.75+n

Final Answer:

1.9 +2.75+n = 4.65 +n

Hope this helps!!


8 0
3 years ago
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