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dedylja [7]
3 years ago
10

12 ly

Mathematics
1 answer:
lesya [120]3 years ago
6 0

Answer:

option C is the correct answer

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Find the equation of the quadratic function with zeros -1 and 1 and a vertex at (0,-4)
Stolb23 [73]

The equation is f(x) = 4x^2 - 4.

You can find this by using an equation with parenthesis that equal each of the zeros.

f(x) = (x - 1)(x + 1)

Now, this equation will not give us the vertex that we're looking for. So, we must add a constant being multiplied to the front of it.

f(x) = c(x - 1)(x + 1)

Now we can find the constant by putting our vertex into the equation and solving.

f(x) = c(x - 1)(x + 1)

-4 = c(0 - 1)(0 + 1)

-4 = c(-1)(1)

-4 = -1c

c = 4

Now we put the c into the original equation and solve for standard form.

f(x) = 4(x - 1)(x + 1)

f(x) = 4(x^2 - 1)

f(x) = 4x^2 - 4

8 0
3 years ago
What is 2 fifth divided by 2 is?
inn [45]

It would be: 2/5 /2 = 2/10

so your answer is 2/10

8 0
3 years ago
Read 2 more answers
Find the sum of the first 100 terms in the series
iVinArrow [24]
Hello,

\dfrac{1}{n} - \dfrac{1}{n+1} = \dfrac{1}{n(n+1)} \\

 \dfrac{1}{1*2} = \dfrac{1}{1} - \dfrac{1}{2} \\

 \dfrac{1}{2*3} = \dfrac{1}{2} - \dfrac{1}{3} \\

 \dfrac{1}{3*4} = \dfrac{1}{3} - \frac{1}{4} \\

...\\
 \dfrac{1}{n*(n+1)} = \dfrac{1}{n} - \dfrac{1}{n+1} \\





Adding member by member, we have

\dfrac{1}{1*2} + \dfrac{1}{2*3} +\dfrac{1}{3*4} +...\dfrac{1}{n*(n+1)}=\\
 
\dfrac{1}{1}  - \dfrac{1}{n+1} \\

= \dfrac{n}{n+1} \\



if n=100 sum \boxed{= \dfrac{100}{101} }


3 0
3 years ago
A rectangular football field is 64 meters wide and 100 maters long. A player runs from one corner of the field in a diagonal lin
Dimas [21]

Answer:

119 or 118.726577

Step-by-step explanation:

We should use the Pythagorean Theorem to solve this problem.

a^2+ b^2=c^2

64^2+100^2=c^2

4096+10000=14096

c^2=14096

c=\sqrt{14096}14096

And the root of 14096 is 118.726577.

So the Answer is About 119 meters, or 118.726577

hope this helps!

3 0
3 years ago
Find the area of the triangle base=8cm height= 5cm
mario62 [17]
Area= 1/2 base x height

Area= 1/2 8x5

Area= 40/2

Area= 20cm^2
8 0
4 years ago
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