Hi please help i’ll give brainliest please

Using arithmetic operations, rewrite this polynomial in standard, simplest form.

dangina [55]

(3x2 + 9x + 6) − (8x2 + 3x − 10) + (2x + 4)(3x − 7)

First distribute the (2x+4)(3x-7) to get 6x2-2x-28
After this just add the like terms for all parts of the expression.
(3x2-8x2+6x2)+(9x-3x-2x)+(6+10-28)
x2+4x-12

So you answer is x2+4x-12

7 0

3 years ago

Find parametric equations for the sphere centered at the origin and with radius 3. Use the parameters s and t in your answer.

sdas [7]

Radius, r = 3

The equation of a sphere entered at the origin in cartesian coordinates is

x^2 + y^2 + z^2 = r^2

That in spherical coordinates is:

x = rcos(theta)*sin(phi)
y= r sin(theta)*sin(phi)
z = rcos(phi)

where you can make u = r cos(phi) to obtain the parametrical equations

x = √[r^2 - u^2] cos(theta)
y = √[r^2 - u^2] sin (theta)
z = u

where theta goes from 0 to 2π and u goes from -r to r.

In our case r = 3, so the parametrical equations are:

Answer:
x = √[9 - u^2] cos(theta)
y = √[9 - u^2] sin (theta)
z = u

6 0

3 years ago

Read 2 more answers

Preliminary data analyses indicate that it is reasonable to use a t-test to carry out the specified hypothesis test. Perform the

Readme [11.4K]

<h2>Answer with explanation:</h2>

By considering the given information, we have

Null hypothesis : $H_0: \mu=35.0$

Alternative hypothesis : $H_1: \mu\neq35.0$

Since the alternative hypothesis is two-tailed , so the test is a two-tailed test.

Given : Sample size : n= 20, since sample size is less than 30 so the test applied is a t-test.

$\overline{x}=41.0$ ; $\sigma= 3.7$

Test statistic : $t=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

i.e. $t=\dfrac{41.0-35.0}{\dfrac{3.7}{\sqrt{20}}}=7.252112359\approx7.25$

Degree of freedom : n-1 = 20-1=19

Significance level = 0.01

For two tailed, Significance level $=\dfrac{0.01}{2}=0.005$

By using the t-distribution table, the critical value of t = $t_{19, 0.005}=2.861$

Since , the observed t-value (7.25) is greater than the critical value (2.861) .

So we reject the null hypothesis, it means we have enough evidence to support the alternative hypothesis.

We conclude that there is some significance difference between the mean score for sober women and 35.0.

3 0

3 years ago

Please help mee, (30 points will give brainliest!!!)

Vadim26 [7]

Answer:

-4

+3

12

-0.5, 12.25

x = -0.5

Step-by-step explanation:

The x intercepts are the values of x when y = 0 ie the roots of the equation
$-x^2 -x +12 = 0$

or

$x^2 + x - 12 = 0$

We can re-write the above as:
(x+4) (x-3) = 0
This gives the two roots as x = -4 and x = +3. Leftmost (smallest) root is -4 and rightmost(largest) root is +3

y intercept is when x = 0. Plugging into the original equation, y value at x = 0 is 12

Vertex x value is given by the formula -b/2a where a is the coefficient of x^2 and b the coefficient of x

Here a = -1, b= -1 so vertex x value = - (-1)/(-1).2 = - 1/2 = -0.5

Plugging this value of x into the original function gives the vertex y value
$y = - (0.5^{2}) - (-0.5) + 12\\= -0.25 + 0.5 + 12 = 12.25$

The line of symmetry is the vertical line corresponding to the vertex x value so line of symmetry is at x = -0.5

The graph of the quadratic function shows these values

3 0

2 years ago

The graph below compares plant height to the age of the plant, in weeks.

Dimas [21]

Answer: 6

Step-by-step explanation:

7 0

2 years ago