The graph of a quadratic function is shown above.According to the fundamental theorem of algebra, the function above has [_] real zeros and [_] complex zeros.

Answers

Answer 1

Answer:

Answer:

0 real zeros
2 complex zeros

Step-by-step explanation:

The "fundamental theorem of algebra" says a polynomial of degree n will have n zeros. If the polynomial has real coefficients, the complex zeros will appear in conjugate pairs.

The graph of this quadratic (degree = 2) does not cross the x-axis, so there are no real values of x that make y=0. That means the two zeros are both complex.

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33 + 2(5+8) - (6-2)2 =
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Simplify the following (-4)-2/7

A study is given in which scientists examined data on mean sea surface temperatures (in degrees Celsius) and mean coral growth (in millimeters per year) over a several-year period at different locations. Here are the data: Sea Surface Temperature 29.69 29.87 30.16 30.22 30.48 30.65 30.80
Growth 2.63 2.57 2.67 2.50 2.47 2.38 2.25

Required:
a. Find the mean and standard deviation of both sea surface temperature x and growth y and the correlation r between x and y.
b. Find the least-squares line. The result should agree with your work in part (a) up to roundoff error. (Round your answers to three decimal places.)
c. Say in words what the numerical value of the slope tells you.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Sea Surface Temperature (x) : 29.69 29.87 30.16 30.22 30.48 30.65 30.80

Growth : (y) 2.63 2.57 2.67 2.50 2.47 2.38 2.25

Mean (x) :

Σ(X) / n

n = number of observations

Mean (m1) = Σ(X) / n = 211.87 / 7 = 30.27

Standard deviation(sx) = 0.3742 (using calculator)

Mean (m2) :

Σ(y) / n = 17.47 / 7 = 2.50

Standard deviation(sy) = 0.1354 ( using calculator)

Correlation (r) :

(1/n)Σ[(x - m1) / sx] × [(y - m2) /sy]

Using calculator to save computing time :

r = - 0.8642

b. Find the least-squares line. The result should agree with your work in part (a) up to roundoff error. (Round your answers to three decimal places.)

The least square line using the regression calculator :

y = -0.31 + 11.96x

Comparing to the regression equation format :

y = mx + c

Where ;

-0.31 = intercept ; 11.96 = slope ; x = independent variable ; y = dependent variable

c. Say in words what the numerical value of the slope tells you.

For every 1° degree rise in surface temperature, growth increases by 11.96

The solution to 8x = 32 is x = __.

Answers

$\huge\text{Hey there!}$ !

$\large\text{8x = 32}$

$\large\text{DIVIDE 8 to BOTH SIDES}$

$\mathsf{(8x)/(8) = (32)/(8)}$

$\large\text{Cancel out: } \mathsf{(8)/(8)}\large\text{ because that gives you } \mathsf{1}$

$\large\text{Keep: }\mathsf{(32)/(8)}\large\text{ because it helps us solve for }\mathsf{x}$

$\mathsf{(32)/(2)\ = x \ or\ x = (32)/(8)}$

$\mathsf{(32)/(8) = 32/ 8 \rightarrow \bf 4}$

$\boxed{\boxed{\large\text{Answer: \bf x = 4}}}\huge\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

Non examples of heterogeneous

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Particles are not uniformly distributed in a heterogeneous mixture. A homogeneous mixture has a uniform composition with all components in a single phase, while a heterogeneous mixture has a non-uniform composition with components in at least two different phases

Round 20.86 to the nearest tenth

20
20.8
20.86
20.9

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Answer:

20.9 is the answer because To round 20.86 to the nearest tenth consider the hundredths’ value of 20.86, which is 6 and equal or more than 5. Therefore, the tenths value of 20.86 increases by 1 to 9. 20.86 rounded to the nearest tenth = 20.9

Which expression is the additive inverse of 25?

Answers

Answer:it’s actually very simple it’s A.

Step-by-step explanation: anything that is below one is negative that’s how I got my answer.

Answer:the answer is A

Step-by-step explanation:i did the test

Bridget was thinking of a number. Bridget doubles it, then adds 15 to get an answer of 16.4. What was the original number?

Answers

Answer: 0.7

Step-by-step explanation:

16.4 - 15= 1.4

1.4 ÷ 2= 0.7

Hope this helps :)

0.7 is the correct number:)

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The graph of a quadratic function is shown above.According to the fundamental theorem of algebra, the function above has [___] real zeros and [___] complex zeros.

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The graph of a quadratic function is shown above.According to the fundamental theorem of algebra, the function above has [_] real zeros and [_] complex zeros.