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2 years ago

Write a quadratic function f whose only zero is -9

Mathematics

2 answers:

frutty [35]2 years ago

7 0

Answer:

x² + 18x + 81 = 0

Step-by-step explanation:

For the zero to -9, the equation has to be x + 9.

x = -9

x + 9 = 0

Since the only zero is -9, square the equation. Expand to get the function

(x + 9)² = 0

x² + 18x + 81 = 0

Radda [10]2 years ago

7 0

Answer:

$x^{2}+18x+81=0$

Step-by-step explanation:

For it to have zero of -9 it is (x+9)^2. Expand that out and you get the answer.

You might be interested in

The sum of two numbers is 80. The larger number is four more than three times the smaller number. Find both numbers.

nexus9112 [7]

Let the smaller number = X

Then the larger number is 3x+4 ( four more than 3 times the smaller number)

The sum of both numbers = 80

so you have X + 3X+4 = 80

Simplify the left side:

4x+4 = 80

Subtract 4 from each side:

4x = 76

Divide both sides by 4:

X = 76/4

X = 19

The smallest number is 19

The largest number is 80 - 19 = 61 ( check: 3*19 = 57+4 = 61)

The two numbers are 19 and 61

3 0

2 years ago

The equation r (t) = (8t + 5)i + (8t^2 - 2)j + (6t )k is the position of a particle in space at time t. Find the particle's vel

Paha777 [63]

Answer:

The particle's velocity is the derivative of the particle's position. The particles's acceleration is the derivative of the particle's velocity. You can compute the velocity and acceleration as follows:

Step-by-step explanation:

$\vec{v}(t)=\frac{dr}{dt}=\frac{d}{dt}(8t+5)\overrightarrow{i}+\frac{d}{dt}(8t^2-2)\overrightarrow{j}+\frac{d}{dt}(6t)\overrightarrow{k}=8\overrightarrow{i}+16t\overrightarrow{j}+6\overrightarrow{k}.$

$\vec{a}(t)=\frac{dv}{dt}=\frac{d}{dt}(8)\overrightarrow{i}+\frac{d}{dt}(16t)\overrightarrow{j}+\frac{d}{dt}(6)\overrightarrow{k}=0\overrightarrow{i}+16\overrightarrow{j}+0\overrrighatarrow{k}.$

The velocity at $t=0$ is $\vec{v}(0)=8\overrightarrow{i}+0\overrightarrow{j}+6\overrighatarrow{k}$ .

The speed at t=0 is $\lVert \vec{v}(0)\rVert =10$ . Then, the velocity at t=0 written as a product of the speed at t=0 and the direction at t=0 is

$\vec{v}(0)=\lVert \vec{v}(0)\rVert \dfrac{\vec{v}(0)}{\lVert \vec{v}(0)\rVert}=10\cdot(\dfrac{8}{10},0,\dfrac{6}{10}).$

8 0

2 years ago

A pie was a radius of 4.25 inches

s2008m [1.1K]

Do you want to find the area for this or circumference. If you want to find the area, the answer will be about 56.7 square inches. Finally, if you want to find the circumference, the answer will be about 26.69 inches. Hope you get it!

8 0

2 years ago

What is the difference between 903.55 and 87.7

vitfil [10]

Answer:903.55

Step-by-step explanation:

6 0

1 year ago

The subjects of a study by Dugoff et al. (A-5) were 10 obstetrics and gynecology interns at the University of Colorado Health Sc

astra-53 [7]

Answer:

The 95 percent confidence interval for the mean of the population from which the study subjects may be presumed to have been drawn is (19.1269, 32.6730).

Step-by-step explanation:

Intern No. of Breast

Number Exams Performed X²

1 30 900

2 40 1600

3 8 64

4 20 400

5 26 676

6 35 1225

7 35 1225

8 20 400

9 25 625

10 20 400

 ∑ 259 ∑ 7515

Mean= X`= ∑x/n= 259/10= 25.9

Variance = s²= 1/n-1[∑X²- (∑x)²/n]

= 1/0[7515- (259)²/10]= 1/9[7515- 6708.1]

= 806.9/9=89.655= 89.66

Standard Deviation= √89.655= 9.4687

Hence

The value of t with significance level alpha= 0.05 and 9 degrees of freedom is t(0.025,9)= 2.262

The 95 % Confidence interval is given by

x`±t(∝,n-1) s/√n

So Putting the values

25.9± 2.262( 9.4687/√10)

= 25.9 ±2.262 (2.9943)

= 25.9 ± 6.7730

= 25.9 +6.7730=32.6730

25.9 -6.7730= 19.1269

= 19.1269, 32.6730

The 95 percent confidence interval for the mean of the population from which the study subjects may be presumed to have been drawn is (19.1269, 32.6730).

6 0

2 years ago