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Nata [24]
3 years ago
7

Amir says the graph of y= x2 + 16 has -4 as a zero. Is Amir correct? Explain.

Mathematics
2 answers:
sukhopar [10]3 years ago
8 0

Answer:

  • Amir is wrong

Step-by-step explanation:

The function y = x² + 16 is positive for any value of x, hence the graph has no intersection with the x-axis and therefore has no real zero's.

If no zero's, -4 also can't be its zero.

Art [367]3 years ago
3 0

Answer:

No

Step-by-step explanation:

It's law of equations .The number of zeros is also equal to the highest degree of the polynomial/equation.

  • y=x^2+16 has 3 zeros
  • 2 is for x and 1 is for y .

Hence 4 can't be a zero because it won't intercept the x axis.

Let's check

\\ \sf\longmapsto (-4)^2+16=16+16=32\neq 0

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Please help
Yuri [45]

Answer:

Yes

Step-by-step explanation:

\angle EFT \cong \angle MKL...(1)\\(given) \\\angle EFT \cong \angle GFH... (2)\\(vertical\: \angle 's) \\\angle MKL \cong \angle JKN... (3)\\(vertical\: \angle 's)

From equations (1), (2) & (3)

\angle JKN \cong \angle GFH\\

7 0
3 years ago
What is the root of the equation x/3+1/3=1/2-x/2?
dimulka [17.4K]

9514 1404 393

Answer:

  x = 1/5

Step-by-step explanation:

You can eliminate fractions by multiplying the equation by 6.

  2x +2 = 3 -3x

  5x = 1 . . . . . . add 3x-2

  x = 1/5 . . . . . the root of the equation

5 0
3 years ago
Write the expression in standard form. -3 + yi = x + 6i
tangare [24]

Answer:

The expression in standard form is -3 + 6i

Step-by-step explanation:

Writing complex equation in standard form we have;

-3 + yi = x + 6i

We transfer the real and imaginary parts to be on different sides of the equation as follows;

yi - 6i = x + 3

We factorize the imaginary part;

i(y-6) = x + 3

We note that the real portion on the left hand side of the equation is zero, therefore, we have;

i(y-6)  + 0= x + 3

x + 3 = 0

Therefore, x = -3

Substituting the value of x in the first equation, we have;

-3 + yi = -3 + 6i

Comparing gives;

y = 6

The expression in standard form is -3 + 6i.

4 0
4 years ago
Which properties would you use to simplify the following expression? log (17x3)
LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

Did you mean log (17*3)?  If so, your log (17x3) becomes log 17 + log 3.

Did you mean  log 17^3?  If so, log 17^3 = 3 log 17.

Did you mean log 17*x*3?  If so, this equals log 17 + log x + log 3

8 0
3 years ago
Kevin has had a checking account for a month. As he reconciles his account, Kevin notices that the dates on his check register d
Nataly_w [17]

Answer:

Option D is correct answer.

Step-by-step explanation:

The correct answer is option D- "The date that the check is written is usually a few days before it is cashed. We record when it was cashed and you record when its written". 

It takes up to 3-4 business day to cash a check. So, Kevin might have entered the date when he wrote the check but as the check was cashed a few days after, the bank would have entered that date. So, it caused the confusion.

Options A, Band C are not correct as if it would have been option A, Kevin would have seen it before calling the bank. It cannot be option B either as banks don't do such silly mistakes. Option C cannot be true either as this type of error has nil chances to occur.

4 0
3 years ago
Read 2 more answers
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