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3 years ago

Here is a graph that represents a quadratic function. Which equation could define this function?

Mathematics

2 answers:

hoa [83]3 years ago

6 0

Answer:

d. y = (x +2)(x -3)

Step-by-step explanation:

When p is a zero of the function (an x-intercept), the function has (x -p) as a factor.

Here, the x-intercepts are x = -2 and x = 3. This means the factors of the function are (x -(-2)) = (x +2) and (x -3).

y = (x +2)(x -3)

kifflom [539]3 years ago

3 0

Answer:

$y=(x+2)(x-3)$

Step-by-step explanation:

Hi there!

The given answer choices are written in intercept form:

$y=(x-r)(x-s)$ where r and s are both x-intercepts of the function

x-intercepts occur when the function crosses or touches the x-axis.

On the graph, we can see that the parabola crosses the x-axis at x=-2 and x=3. Plugging these into intercept form, we get:

$y=(x+2)(x-3)$

I hope this helps!

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

o-na [289]

Answer:

The answer will just be 125b^4

Step-by-step explanation:

Basically multiply 5 by 5 by 5 and then count all of the b’s (4 b’s) and add it to the product as an exponent

Final answer: 125b^4

6 0

3 years ago

Which is an incorrect rounding for 53.864 A.54 B.53.87 C.53.9 D.50

kotegsom [21]

The incorrect rounding for 53.864 is 53.87

<h3>How to approximation a decimal?</h3>

The decimal to be approximated is as follows;

53.864

The first option rounded the decimal to 2 significant figures or a whole number.

The second option is incorrect because they rounded it wrongly to 2 decimal places. The correct 2 decimal round is 53.86.

The third option is approximated rightly to one decimal place.

The last option is rounded to the closes tens term.

learn more on approximation here: brainly.com/question/9608644

#SPJ1

7 0

2 years ago

What are the solutions of the equation x^2+4x+4=25

vodomira [7]

X² + 4x + 4 = 25
(x+2)² = 25
x + 2 = ±5
x + 2 = -5 or x + 2 = 5
x = -5 -2 x = 5 - 2
x = -7 x = 3

The solutions are x=-7 and x=3

7 0

4 years ago

(20 points) A statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s

Nimfa-mama [501]

Answer:

The P-value is 0.0234.

Step-by-step explanation:

We are given that a statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20.

Let = population mean.

So, Null Hypothesis, : = 100 {means that the population mean is equal to 100}

Alternate Hypothesis, : > 100 {means that the population mean is more than 100}

The test statistics that will be used here is One-sample t-test statistics because we're yet to know about the population standard deviation;

T.S. = ~

where, = sample mean = 98

s = sample standard deviation = 20

n = sample size = 400

So, the test statistics = ~

= -2

The value of t-test statistics is -2.

Now, the P-value of the test statistics is given by;

P( < -2) = 0.0234 {using the t-table}

8 0

3 years ago

Multiplication in GF(24 ): Compute A(x)B(x) mod P(x) in GF(24 ) using the irreducible polynomial P(x) = x 4 + x + 1, where A(x)

tankabanditka [31]

Answer:

Step-by-step explanation:

hello,

i advice you check the question again if it is GF( $2^{4}$ ) or GF(24). i believe the question should rather be in this form;

multiplication in GF( $2^{4}$ ): Compute A(x)B(x) mod P(x) = $x^{4}$ + $x$ +1, where A(x)= $x^{2}$ +1, and B(x)= $x^{3} + x+1$ .

i will solve the above question and i believe with this you will be able to solve any related problem.

A(x)B(x)= $(x^{2} +1) (x^{3}+x+1) mod (x^{4}+x+1 ) = (x^{5} +x^{3}+x^{2} ) + (x^{3}+x+1 ) mod (x^{4} + x+1 )$

= $x^{5}+2x^{3} +x^{2} + x + 1 mod(x^{4}+x+1 )$

= $2x^{2} +1$

please note that the division by the modulus above we used

$\frac{x^{5}+2x^{3}+x^{2} +1 }{x^{4}+x+1}= x+\frac{2x^{3} +1}{x^{4}+x+1}$

5 0

3 years ago