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LenaWriter [7]
3 years ago
7

Which of the following are not linear functions? Place a check mark in the box next to each equation that is not a linear functi

on.
A. x = 4
B. y = 5
C. y = 3x + 2
D. y = 2x 2 + 1
E. y = x 2
Mathematics
1 answer:
insens350 [35]3 years ago
5 0

Answer:

D. y = 2x² + 1

E. y = x²

Step-by-step explanation:

Linear function:

A linear function has the following format:

y = ax + b

In which a is the slope and b is the y-intercept. A constant function is linear, as it is the special case in which a = 0.

In this question:

In options D and E, the highest exponent of x is 2, which means that they are not linear functions, and so these options are the answer.

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forty yards of fabric are used to make 9 school banners. how many yards of fabric does banner use? between what 2 whole numbers
saul85 [17]

Answer:

4 4/9,4 and 5

Step-by-step explanation:

6 0
2 years ago
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Evaluate the expression for f = -6 and g = -1.<br> fg - f =
Arlecino [84]

Answer:

7

Step-by-step explanation:

Given the information from the question:

fg - f = f \times g - f

Next we can use the order of operations to find the value of the expression.

fg - f =  - 6 \times  - 1 - ( - 1) \\  =  6 - ( - 1) \\  = 6 + 1 \\  = 7

5 0
1 year ago
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
What is th additive inverse of h
Elden [556K]
The additive inverse of a number a is the number that's added to yields zero
4 0
3 years ago
Find perimeter of the figure thanks and round to the nearest hundredth
Gnom [1K]

Answer:

40.56

Step-by-step explanation:

you need the circumference of the cirle aka perimeter of circle so  8(pi) and then because its only half, divided by 2... 12.56

now you hgave circumference so add 12.56 to 28 and there you go. you can round how ever necessary

7 0
3 years ago
Read 2 more answers
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