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goldenfox [79]
3 years ago
14

1 Which set of ordered pairs does not represent a function?

Mathematics
1 answer:
faust18 [17]3 years ago
3 0
2 bc the y values repeat
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The expression (x − 4)2 is equivalent to x2 − 16 x2 + 16 x2 − 8x + 16 x2 + 8x + 16
zzz [600]

Answer:

Given below

Step-by-step explanation:

The algebraic identity is (a-b)^2

= a^2 + b^2 - 2ab

So it'll be,

(x-4)^2

= x^2 + (4)^2 - (2)(x)(4)

= x^2 -8x + 16

or x^2 +16 -8x

4 0
3 years ago
A firecracker reaches a height of h feet before it bursts. The height h is modeled by h = −16t2 + vt + c, where v is the initial
daser333 [38]

General Idea:

If we have a quadratic function of the form f(x)=ax^{2} +bx+c , then the function will attain its maximum value only if a < 0 & its maximum value will be at x=-\frac{b}{2a} .

Applying the concept:

The height h is modeled by h = −16t^2 + vt + c, where v is the initial velocity, and c is the beginning height of the firecracker above the ground. The firecracker is placed on the roof of a building of height 15 feet and is fired at an initial velocity of 100 feet per second. Substituting 15 for c and 100 for v, we get the function as h=-16t^2+100t+15.

Comparing the function f(x)=ax^{2} +bx+c with the given function h=-16t^{2} +100t+15, we get a = -16, b = 100 and c=15.

The maximum height of the soccer ball will occur at t=\frac{-b}{2a}=\frac{-100}{2(-16)} = \frac{-100}{-32}=3.125 seconds

The maximum height is found by substituting t=3.125 in the function as below:

h=-16(3.125)^2+100(3.125)+15=171.25 feet

Conclusion:

<u>Yes !</u> The firecracker reaches a height of 100 feet before it bursts.

6 0
3 years ago
Solve for w in the equation w⁄5 = 25
Anarel [89]

we are given

\frac{w}{5} =25

Since, we have to solve for w

so, we will isolate w on anyone side

Multiply both sides by 5

5*\frac{w}{5} =5*25

w =5*25

w =125

so,

option-D..........Answer

7 0
3 years ago
Read 2 more answers
60 sixth graders are going to the social. 240 sixth graders are NOT going to the social. What is the ratio (simplest form) of th
PSYCHO15rus [73]

Answer:

240 to 60 or in simpler form 1 and 4

Step-by-step explanation:

5 0
3 years ago
JK has endpoints at -12 and 4. What is the coordinate of its midpoint
iris [78.8K]

Answer:

- 4

Step-by-step explanation:

Midpoint of JK

=  \frac{ - 12 + 4}{2}  \\  \\  =  \frac{ - 8}{2}  \\  \\  =  - 4

7 0
3 years ago
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