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natulia [17]
3 years ago
5

What is the maximum product of two numbers whose sum is 13​? what numbers yield this​ product?

Mathematics
1 answer:
True [87]3 years ago
7 0
The maximum product is 42. Numbers 6 and 7 yield this product.
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HELP ME WITH MATHHHHH ILL GIVE YOU BRAINLIEST
Alla [95]

Answer:

  -3, 1, 4 are the x-intercepts

Step-by-step explanation:

The remainder theorem tells you that dividing a polynomial f(x) by (x-a) will result in a remainder that is the value of f(a). That remainder will be zero when (x-a) is a factor of f(x).

In terms of finding x-intercepts, this means we can reduce the degree of the polynomial by factoring out the factor (x-a) we found when we find a value of "a" that makes f(a) = 0.

__

For the given polynomial, we notice that the sum of the coefficients is zero:

  1 -2 -11 +12 = 0

This means that x=1 is a zero of the polynomial, and we have found the first x-intercept point we can plot on the given number line.

Using synthetic division to find the quotient (and remainder) from division by (x-1), we see that ...

  f(x) = (x -1)(x² -x -12)

We know a couple of factors of 12 that differ by 1 are 3 and 4, so we suspect the quadratic factor above can be factored to give ...

  f(x) = (x -1)(x -4)(x +3)

Synthetic division confirms that the remainder from division by (x -4) is zero, so x=4 is another x-intercept. The result of the synthetic division confirms that x=-3 is the remaining x-intercept.

The x-intercepts of f(x) are -3, 1, 4. These are the points you want to plot on your number line.

5 0
3 years ago
Please explain your answer
Ymorist [56]

Answer:

51

Step-by-step explanation:

11+(-7)^2-9 - original

11+49-9 - square the -7, since its in brackets the negative applies too and a negative x a negative = positive, so it ends up as 7x7+49

60-9 - add both positives 11+49=60

51 - subtract 9 from 60, 60-9=51

7 0
3 years ago
[tex]\frac{12}{20} =_____% = _____ hundredths
Over [174]

The percentage form of given fraction is 60% and the hundredths form is 0.60

According to the statement

we have given that the a fraction and we have to find the percentage of that fraction and write in the form hundredths.

So, For this purpose,

The given fraction is 12/20.

Then the definition of the percentage is that

The Percentage, a relative value indicating hundredth parts of any quantity.

so, the percentage of given fraction is :

Percentage fraction = 12/20 * 100

After solving it, The percentage fraction will become:

Percentage fraction = 60%

and Now convert into the hundredths form then

In the hundredths form it will become

from 60% to 0.60.

So, The percentage form of given fraction is 60% and the hundredths form is 0.60

Learn more about Percentage here

brainly.com/question/843074

#SPJ1

8 0
2 years ago
Bruce has 150$ and saves 20$ each week. Katie has 200$ and saves 10$ each week. After how many weeks will they have the same amo
NNADVOKAT [17]
None because they will have spent it all on lawsuits 
4 0
3 years ago
Which statement is true about the given set of data? {(4, 0), (5, 0), (8, 0), (11, 0)}
Anni [7]

Answer:

a

4,5,8,11 are the domain

Step-by-step explanation:

x is always the domain, input and It could also be a function but I don't think that only four five eight and 11 are functions so I would go with a

7 0
3 years ago
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