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emmainna [20.7K]
2 years ago
7

Is the graphed function linear?

Mathematics
1 answer:
masha68 [24]2 years ago
8 0

Answer:

please provide an image of the graph

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Solve x2 + 8x = 33 by completing the square. Which is the solution set of the equation? {–11, 3} {–3, 11} {–4, 4} {–7, 7}
NemiM [27]

Answer:

The solution of the equation are 3 , -11

Step-by-step explanation:

* Lets revise how to make the completing square

- The form of the completing square is a(x - h)² + k, where a , h , k

 are constant

- The general form of the quadratic is ax² + bx + c, where a , b , c

 are constant

- To change the general form to the completing square form equate

  them and find the constant a , h , k

* Now lets solve the problem

∵ x² + 8x = 33 ⇒ subtract 33 from both sides

∴ x² + 8x - 33 = 0

- lets change the general form to the completing square

∴ x² + 8x - 33 = a(x - h)² + k ⇒ solve the bracket of power 2

∴ x² + 8x - 33 = a(x² - 2hx + h²) + k ⇒ multiply the bracket by a

∴ x² + 8x - 33 = ax² - 2ahx + ah² + k ⇒ compare the two sides

∵ x² = ax² ⇒ ÷ x²

∴ a = 1  

∴ -2ah = 8 ⇒ substitute the value of a

∴ -2(1)h = 8 ⇒ -2h = 8 ⇒ ÷ (-2)

∴ h = -4

∵ ah² + k = -33 ⇒ substitute the value of a and h

∴ (1)(-4)² + k = -33

∴ 16 + k = -33 ⇒ subtract 16 from both sides

∴ k = -49

∴ x² + 8x - 33 = (x + 4)² - 49

* Now lets solve the completing square

∵ (x + 4)² - 49 = 0 ⇒ add 49 to both sides

∴ (x + 4)² = 49 ⇒ take square root for both sides

∴ (x + 4) = ± 7

∵ x + 4 = 7 ⇒ subtract 4 from both sides

∴ x = 3

∵ x + 4 = -7 ⇒ subtract 4 from both sides

∴ x = -11

* The solution of the equation are 3 , -11

4 0
3 years ago
Read 2 more answers
The sum of two numbers is
bekas [8.4K]
Okay you have 2 sum unknow lets call them X+Y

so X+Y=33, 4X=108

Get X by it self then plug it in 4X=108

X=-Y+33
4(-y+33)= 108
-4y+132=108 Then subtract the 132
-4y=-24 Y=6 then to find X subtract 33-6=27
Y=6 X=27 if you check it works out
3 0
3 years ago
Read 2 more answers
Who can solve this <br>2xy if x=5 and y=-3​
Softa [21]

Answer:

-30

Step-by-step explanation:

2*5 is 10

10*-3 is -30

8 0
3 years ago
Read 2 more answers
Free points how many potatoes are there? and don't be a disabled house and report this
Thepotemich [5.8K]

Answer:

there are no potatoes..... all i see are beautiful creations :0

4 0
3 years ago
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How would you find the volume of this cone?
posledela

Area of cone = 1/3 base × height = 1/3 × 8 × 10 = approximately 26.7 m

Ans= approx. 26.4 m

Happy to help. Please mark as brainliest!

4 0
3 years ago
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