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Rashid [163]
3 years ago
7

I NEED HELP LIKE RIGHT NOW, please! Which of the following rules could represent the function shown in the table?

Mathematics
1 answer:
steposvetlana [31]3 years ago
4 0

it would be 2x+1

i oped this helped

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If sec a = 5/4 and a is an angle in quadrant iv find the value of cos a
wariber [46]
We know that
<span>sec a = 5/4
</span>sec(a)=1/cos(a)
then 
cos (a)=1/sec(a)
cos (a)=1/(5/4)=4/5---> is positive because the function cos is positive in IV quadrant

the answer is cos(a)=4/5
8 0
2 years ago
A café owner is designing a new menu and wants to include a decorative border around the outside of her food listings. Due to th
kipiarov [429]

The 13-in. by 9-in. rectangle where the food listings fit has an area of 13 in. * 9 in. = 117 in.^2

Adding 48 in.^2 for the border, the total area of the menu with the border will be 117 in.^2 + 48 in.^2 = 165 in.^2

The border has to have uniform width around the menu. We need to find the width of the border. Let the border be x inches wide. Then since you have a border at each of the 4 sides, the border will add 2x to the length of the rectangle and 2x to the width of the rectangle. The menu will have a length of 2x + 13 and a width of 2x + 9. The area of the larger rectangle must by 165 in.^2. The area of a rectangle is length times width, so we get our equation:

(2x + 13)(2x + 9) = 165

Multiply out the left side (use FOIL or any other method you know):

4x^2 + 18x + 26x + 117 = 165

4x^2 + 44x + 117 = 165

4x^2 + 44x - 48 = 0

Divide both sides by 4.

x^2 + 11x - 12 = 0

Factor the left side.

(x + 12)(x - 1) = 0

x + 12 = 0 or x - 1 = 0

x = -12 or x = 1

The solution x = -12 is not valid for our problem because the width of a border cannot be a negative number. Discard the negative solution.

The solution is x = 1.

Answer: The border is 1 inch wide.

Check. Add 2 inches to the length and width of the food listings rectangle to get 15 inches by 11 inches. A = 15 in. * 11 in.= 165 in.^2. Now subtract the area of the border, 48 in.^2, 165 in.^2 = 48 in.^2 = 117 in.^2, and you get the area of the 13-in. by 9-in. rectangle. This shows that our solution is correct.

6 0
3 years ago
Read 2 more answers
Can you solve this in a good way please
IRINA_888 [86]

Answer:

5/2 x^2y^2

Step-by-step explanation:

( x^2 - 3/5y^2)^2 + (3/4 x^2 + 4/5 y^2)^2 - (5/4x^2 - y^2)^2

=  x^4 - 6/5x^2y^2 + 9/25y^4 + 9/16x^4 + 6/5x^2y^2 + 16/25y^4 - ( 25/16x^4

- 5/2x^2y^2 + y^4)

Distributing the negative over the parentheses:-

=  x^4 - 6/5x^2y^2 + 9/25y^4 + 9/16x^4 + 6/5x^2y^2 + 16/25y^4

- 25/16x^4

+  5/2x^2y^2 - y^4

Bringing like terms together

x^4 + 9/16x^4 - 25/16x^4 - 6/5x^2y^2 + 6/5x^2y^2 +  5/2x^2y^2   +  16/25y^4 + 9/25y^4

- y^4  

Adding like terms:-

= 5/2 x^2y^2  Answer

8 0
3 years ago
Use the substitution method to solve the system of equations. Choose the
luda_lava [24]

Answer:

(2, 22 )

Step-by-step explanation:

Given the 2 equations

y = 7x + 8 → (1)

y = x + 20 → (2)

Substitute y = 7x + 8 into (2)

7x + 8 = x + 20 ( subtract x from both sides )

6x + 8 = 20 ( subtract 8 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Substitute x = 2 in (2) for corresponding value of y

y = x + 20 = 2 + 20 = 22

Solution is (2, 22 )

7 0
3 years ago
What is 5 8/9 + 7 /13
Ede4ka [16]
I pretty sure that the answer would be 6 50/117 but if you get a fraction calculator app it can help more.
3 0
3 years ago
Read 2 more answers
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