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yuradex [85]
2 years ago
14

Please find which quadratic equation matches the graph with work attached

Mathematics
1 answer:
lesya [120]2 years ago
7 0

Answer:

C

Step-by-step explanation:

Firstly, we know that the function must be negative due to its shape. This means that the answer cannot be B

Next we can use the equation x=\frac{-b}{2a} that is used in order to find the vertex of the parabola.

A)

f(x)=-x^2+6x+7\\a=-1,b=6,c=7\\\\x=\frac{-6}{-2} \\x=3

As the vertex is at x=3 on the graph, this one could be a contender.

C)

f(x)=-x^2+6x-7\\a=-1,b=6, c=-7\\\\x=\frac{-6}{-2} \\\\x=3

This also could be the equation

D)

f(x)=-x^2-6x-7\\\\a=-1, b=-6, c=-7\\\\x=\frac{6}{-2} \\\\x=-3

This rules option D out.

For this last step, we can look at where the zeroes would be for each equation. (These values are irrational, so we cannot look at specific number)

A)

f(x)=-(x^2-6x-7)

As this equation has a negative value for c, this means that one zero must be positive and the other must be negative.

This means that option A can be ruled out

C)

f(x)=-(x^2-6x+7)

As this equation has a positive value for c, this means that both of the zeroes must be positive. This means that it is the only one that fits all of the criteria.

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daser333 [38]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

\frac{5}{6}

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

\boxed{\text{Solving the Problem...}}\\\\2\frac{1}{2}  -\frac{5}{3}\\\\----------------\\\rightarrow \text{LCM} (2,3): 6\\\\\rightarrow 2\frac{1}{2}=\frac{5}{2}=\frac{5*3}{2*3}=\frac{15}{6}\\\\\rightarrow \frac{5}{3}=\frac{5*2}{3*2} =\frac{10}{6}\\\\\\\rightarrow \frac{15}{6} - \frac{10}{6}\\\\\rightarrow \boxed{\frac{5}{6}}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

4 0
3 years ago
WILL REWARD/// BRAINLIEST/// 30 POINTS
Vanyuwa [196]
Sinα=(opposite side)/hypotenuse

cosα=(adjacent side)/hypotenuse

tanα=(opposite side)/(adjacent side)

In a right triangle the longest side is the hypotenuse.

If one angle opposite a side is α, the angle opposite the other side is 90-α (because the sum of all angles must be 180° for any triangle)

I hope that helps as your question is not really clear, if you have any more specific questions, I'd be happy to help out. :)
7 0
3 years ago
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A​ company's stock began the day at ​$25.28 per share. That price drops by ​$1.16 each hour. A. What is the price per share afte
grandymaker [24]

Answer: A.) $19.48

B.) -$1.40

C.) The sign in B, the negative, means that if the price of the share were to continue dropping, then it will become negative.

Step-by-step explanation:

3 0
3 years ago
1. What causes charge in the motion of the object
Assoli18 [71]

1.  An object at rest has zero velocity - and (in the absence of an unbalanced force) will remain with a zero velocity. Such an object will not change its state of motion (i.e., velocity) unless acted upon by an unbalanced force

2. When physicists speak about an object's velocity, they are talking not only about the object's speed but also about the direction in which it's moving. Similarly, force has a directional component as well as a quantitative one -- a force directly opposing an object's velocity has a different effect on the object than a force acting at right angles to its motion. In mathematical terms, force, velocity and acceleration -- which is the rate of change of velocity produced by a force -- are "vector" quantities, which is a term that implies their directional component.

Hope this helps!

3 0
3 years ago
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How many 4 digit multiples can not be divided by 5
Advocard [28]

Answer:

1800

Step-by-step explanation:

Let us solve this question by Modular Airthmatic.

Let the lowest 4 digit number be X.

X= 1 (mod 5)

X =2 (mod 5)

X=3 (mod 5)

X =4 (mod 5)

X=1+5 t where t is any integer.

1+5 t=2 (mod 5)

5 t=1 (mod 5 )

5 is the Modular Inverse of modulo 5

t=1 (mod 5)

t =1+5 u : u= any integer.

X becomes 1+ 5 (1+5u )=6+25 u

6+25u =3 (mod 5)

25 u= -3 (mod 5)=2 (mod 5)

25 is Modular Inverse of Modulo 5

u=2 (mod 5)

u =2+5 v : v= any integer.

X becomes 6 +25 (2+5 v)=56+125 v .

56 +125 v=4 (mod 5)

125 v=-52 (mod 5)=3 (mod 5)

125 is Modular Inverse of modulo 5

v = 3 (mod 5)

v =3 +5 w where w is any integer.

For lowest 4 digit number, take

w=200

X=1003 : Lowest 4 digit number.

Take w=201

X=208 : Next number.

For 4 digit largest number, take

w=1995

X= 9978 : Largest number.

No. of Numbers =(1995 - 200 )+1=1800 □Ans.

8 0
3 years ago
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