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ololo11 [35]
4 years ago
7

The graph of the function F(x) = 2x^2-8 is changed. The new graph can be

Mathematics
1 answer:
vova2212 [387]4 years ago
6 0

Answer:

The graph now opens in the opposite direction. The y intercept is shifted up 4.

Step-by-step explanation:

F(x) = 2x^2-8

F(X)= -2x^2-4

We know that the graph is reflected over the y-intercept becuase of the negative sign in the second equation ( F(X)= -2x^2-4)

We know that the intercept is shifted up four, because the number decreased from 8 to 4, and the graph is reflected.

Attacthed is both of the equations graphed to help you visualize this shift!

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Use a direct proof to show that the product of two odd integers is odd.
yulyashka [42]

Answer:

The proof itself

Step-by-step explanation:

We can define the set of all even numbers as

E = \{ a \in \mathbb{Z} \setminus a = 2.k , k\in \mathbb{N}\}

This is, we can define all even numbers as the set of all the multiples of 2

As for the odd numbers, we can always take every even number and sum one to each one. This is

O = \{ a\in \mathbb{Z} \setminus a=2.k+1,k\in\mathbb{N}_{0}\}

Note that k\in\mathbb{N}_{0}(the set of all natural numbers adding the zero) so that for k=0 then a=1

Now, given 2 odd numbers a and b we can write each one as follows:

a = 2k+1\\b = 2l+1\\k,l \in\mathbb{N}_{0}

And then if we multiply them with each other we obtain:

a.b = (2k+1).(2l+1)\\= 4kl+2k+2l+1\\= 2(2kl+k+l) + 1\\= 2k'+1 \\where\ k'=2kl+k+l

Then we have that a.b is also an odd number as we defined them.

6 0
3 years ago
PLEASE HELP!!! ASAP!!!
Pepsi [2]
The Answer Is : A 

I hope that is helpful.
3 0
4 years ago
Read 2 more answers
What is the smallest 6-digit palindrome (a number that reads the same forward and
Arturiano [62]

Answer:

108801

Step-by-step explanation:

Well, you should first add 99 to 99999 which is 10098. And since it's not a palindrome you need to keep adding 99 to the sum until you reach one.

----------------------------------

This is with a calculator

Btw, I used calculator soup.com for it.

100089, 100188, 100287, 100386, 100485, 100584, 100683, 100782, 100881, 100980, 101079, 101178, 101277, 101376, 101475, 101574, 101673, 101772, 101871, 101970, 102069, 102168, 102267, 102366, 102465, 102564, 102663, 102762, 102861, 102960, 103059, 103158, 103257, 103356, 103455, 103554, 103653, 103752, 103851, 103950, 104049, 104148, 104247, 104346, 104445, 104544, 104643, 104742, 104841, 104940, 105039, 105138, 105237, 105336, 105435, 105534, 105633, 105732, 105831, 105930, 106029, 106128, 106227, 106326, 106425, 106524, 106623, 106722, 106821, 106920, 107019, 107118, 107217, 107316, 107415, 107514, 107613, 107712, 107811, 107910, 108009, 108108, 108207, 108306, 108405, 108504, 108603, 108702, 108801, 108900, 108999, 109098, 109197, 109296, 109395, 109494, 109593, 109692, 109791, 109890

7 0
3 years ago
Giraffes are herbivores,or plant eaters. A giraffe can eat up to 75 pounds of leaves each day. Write and evaluate an expression
Rudik [331]

Answer: 2625

Let’s say you multiply 5 giraffes by 75 pounds = 375lbs 5 giraffes eat a day multiply the 5 giraffes and they answer should be 2625lbs

7 0
3 years ago
If the pictured triangles are congruent what reason can be given
Vaselesa [24]

Answer:

sss(personal opinion)

3 0
3 years ago
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