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shepuryov [24]
3 years ago
12

Which function is a quadratic function?

Mathematics
2 answers:
BigorU [14]3 years ago
8 0
It's the first oneeeeeeeeeeeeeee

inessss [21]3 years ago
6 0

Answer:

u(x) is the only quadratic function.

Step-by-step explanation:

We are given four algebraic functions in x and we have to find which one is a quadratic function.

Let us arrange those polynomials in descending powers of x.

i) u(x) = 3x^2-x-8

The highest degree is 2.  Hence this is quadratic function.

ii) v(x) = 8x^3+2x^2+9x

The highest degree is 3 and hence this is cubic

iii) y(x) = 3x^5+x^2+4

The highest degree is 5 and hence this cannot be quadratic

iv) z(x) = 2x^3+7x^2-3

The highest degree is 3 and hence this is cubic

Hence u(x) is the only quadratic function.

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The table shows the value of an account x years after the account was opened. Based on the exponential regression model, which i
julsineya [31]

Answer:

Correct choice is B

Step-by-step explanation:

The equation of the exponential regression model is y=a\cdot b^x.

1. When x=0, y=a\cdot b^0=a=5,000;

2. When x=2, then

y=5,000\cdot b^2=5,510\Rightarrow b^2=\dfrac{5,510}{5,000}=\dfrac{551}{500}=1.102,\ b=\sqrt{1.102}\approx 1.05.

3. The equation of the function is y=5,000\cdot (1.05)^x. Note that

  • y(5)=5,000\cdot (1.05)^5\approx 6,381\approx 6,390;
  • y(8)=5,000\cdot (1.05)^8\approx 7,387\approx 7,390;
  • y(10)=5,000\cdot (1.05)^{10}\approx 8,144\approx 8,150.

Therefore,

y(12)=5,000\cdot (1.05)^{12}\approx 8,979\approx 8,980.


4 0
3 years ago
Read 2 more answers
Which line is parallel to y=4x-2?<br><br>(A) y=4x+3<br>(B) y=2x-4<br>(C) y=1/4x+1<br>(D) y=-1/4x+5
Gwar [14]
Parallel lines have the same slope but different y-intercepts. Which answer has the same slope as the one above? Hint: m is the slope (coefficient of x)
5 0
3 years ago
NEED ASAP plz
irina [24]

Answer:

jowa di flak towo adibja nag my ja

5 0
2 years ago
Suppose that an individual has a body fat percentage of 16.8% and weighs 152 pounds. How many pounds of his weight is made up of
natka813 [3]
<h3>Answer: 25,5 p</h3>

Step-by-step explanation:

  • 16 , 8 % = ? p
  • 100% = 152 p

  • \pmb {? =\dfrac{152\cdot 16, 8}{100}=25, \underline 536 p\approx25,5  p  }
4 0
2 years ago
Ten experts rated a newly developed chocolate chip cookie on a scale of 1 to 50. Their ratings were:
Sunny_sXe [5.5K]

Answer:

Option B.

Step-by-step explanation:

The given data set is

34, 35, 41, 28, 26, 29, 32, 36, 38, 40

We need to find the mean deviation of the given data.

Number of observations, n = 10

Mean of the data is

Mean=\dfrac{\sum x}{n}

Mean=\dfrac{34+35+41+28+26+29+32+36+38+40}{10}

Mean=\dfrac{339}{10}

Mean=33.9

Formula for mean deviation is

\text{Mean deviation}=\dfrac{\sum |x-mean|}{n}

\sum |x-mean|=|34-33.9|+|35-33.9|+|41-33.9|+|28-33.9|+|26-33.9|+|29-33.9|+ |32-33.9|+|36-33.9|+|38-33.9|+|40-33.9|=41.2

\text{Mean deviation}=\dfrac{41.2}{10}

\text{Mean deviation}=4.12

The mean deviation of the ratings is 4.12.

Therefore, the correct option is B.

8 0
3 years ago
Read 2 more answers
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