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BARSIC [14]
3 years ago
13

The width of a poster is 8cm less than the length. The perimeter is more than 184

Mathematics
1 answer:
mart [117]3 years ago
5 0
Let the length be x
width = x - 8
Perimeter = Length + Length + Width + Width

x + x + x - 8 + x - 8 > 184
4x - 16 > 184
4x > 184 + 16
4x > 200
x > 50

Therefore:
Length > 50
Width > 50 - 8 
Width > 42

Ans: Length > 50, Width > 42


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Four Questions, 60 points & Brainliest! (Please show all steps)
pogonyaev

Answer:

a) -2, 1 and 2

b) 4

Step-by-step explanation:

The given equation is:

g(x) = (x + 2)(x - 1)(x - 2)

Part a1 and a2) Finding zeros of the function

By zeroes of the function we mean the points the graph where the value of the function is zero. In order to find the zeroes of the function we equate the  function equation to zero and find the corresponding values of x. This is shown below:

0 = (x + 2)(x - 1)(x - 2)

According to the zero product property, we can write:

x + 2 = 0     ⇒     x = -2

x - 1 = 0      ⇒     x = 1

x - 2 = 0     ⇒     x = 2

Therefore, the zeroes of the given function are -2, 1 and 2. In ordered pairs we can write these as (-2, 0), (1, 0) and (2, 0)

Part b1 and b2) y-intercept of the function

y-intercept is the point on the graph where the function crosses the y-axis. Since on y-axis, the value of x coordinate is zero, in order to find the y-intercept we simply substitute zero for all occurrences of x. This is shown below:

g(0) = (0 + 2)(0 - 1)(0 - 2)

g(0) = 2(-1)(-2)

g(0) = 4

Thus, the y-intercept of the function is 4, which in ordered pair can be written as (0, 4)

Part c) End behavior of the graph

End behavior of the graph depends on:

  • Sign of the leading coefficient
  • Degree of the function

Degree of the function is 3 i.e. odd and sign of leading coefficient is positive. This means the end behavior of the graph will be:

  • Rising towards Right end
  • Falling towards Left end

Part d) Graph of polynomial

Based on all the above discussion, a graph of the function can be plotted. The graph is attached below.

4 0
2 years ago
Anyone help me pls :(
Elis [28]

Answer:

1 - G;

2 - R;

3 - E;

4 - D;

5 - T;

6 - J;

7 - O;

8 - B;

Step-by-step explanation:

The formula for calculating the sum of interior angles is ( n − 2 ) * 180 ∘ where n is the number of sides.

1) (4 - 2) * 180 = 360 therefore X + 100 + 118 + 53 = 360  =>  X = 360 - 100 - 118 - 53 = 89   =>   X = 89

2) (5 - 2) * 180 = 540  => 90 + 90 + X + 128 + X = 540 => 2*X = 540 - 90 - 90 - 128 = 232   =>   X = 116

3) (6 - 2) * 180 = 720 => 101 + 126 + X + 96 + 147 + 135 = 720 => X = 720 - 101 - 126 - 96 - 147 - 135 = 115   =>   X = 115

4) (9 - 2) * 180 = 7 * 180, since all angles are equal the answer is 7 * 180 / 9 = 7 * 20 = 140    =>   X = 140

5) (5 - 2) * 180 = 540 => 90 + 131 + 102 + X + 145 = 540 => X = 540 - 90 - 131 - 102 - 145 = 72   =>   X = 72

6) Since the sum of the linear pair angles equal 180, X = 180 - 70 = 110 => X = 110

7) (4 - 2) * 180 = 360; Linear pair angle for 73 is 180 - 73 = 107, that means X + 102 + 39 + 107 = 360  =>  X = 360 - 102 - 39 - 107 = 112   =>   X = 112

8) (5 - 2) * 180 = 540;  Linear pair angle for 84 is 180 - 84 = 96;  Linear pair angle for 79 is 180 - 79 = 101;  Linear pair angle for 34 is 180 - 34 = 146; so X + 90 + 96 + 101 + 146 = 540   =>   X = 540 - 90 - 96 - 101 - 146 = 107  => X = 107

4 0
3 years ago
-(y + 2) + 8 = 3<br> I’m so confused on this, please send help
Hoochie [10]

Don't be worried friend :)

-(y + 2) + 8 = 3

=> -(y + 2) = -5

=> y + 2 = 5

=> y = 3

7 0
3 years ago
Cara evaluated the expression below. (4(7-13))÷3+(-4)²-2(6-2) =(28-13)÷3+(-4)²-2(4) =15÷3+16-8 =5+16-8 =13 What was Cara’s error
mezya [45]

Answer:

the answer is the first one, Cara multiplied only 4 and 7 together and did not multiply 4 and 13

Step-by-step explanation:

if you look through the question you can see that Cara evaluated the (-4)^2 correctly because a negative multiplied by a negative gives you a positive thus (-4)*(-4)= 16, then next you can see that Cara subtracted 2 from 6 correctly because (6-2)= (4), and last but not least Cara did multiply 2 by 4 correctly because 2*4 or 2(4) =8 so as you can see the answer is the first one

3 0
3 years ago
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Bob wants to play a game in which each player gets 3 cards. He has a total of 22 cards. How many people can play? How many cards
Norma-Jean [14]

Step-by-step explanation:

no. of players = 22/3 = 7 remainder 1

therefore, 7 people can play, and 1 card remaining

3 0
3 years ago
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