All categories

4 years ago

Algebraically determine the x-intercepts of this function. Please show work.

1 answer:

3 0

To determine x intercept, put y=0

x^4 - 10x^2 + 9 = 0

x^4 - 9x^2 - x^2 + 9 = 0

x^2(x^2 - 9) - 1(x^2 - 9) = 0

(x^2 - 9)(x^2-1) =0

x^2 - 9 = 0
⇒ x^2 = 9
⇒x = +3, -3

x^2 - 1 = 0
x^2 = 1
x = +1, -1

X intercepts are -3, -1, 1, 3

You might be interested in

Some of Mrs. Turay’s eighth graders took the PSAT test. Score totals of ten of her students are below. Calculate the mean and th

den301095 [7]

Answer:

(a) Mean=74

(b) Median=70

Step-by-step explanation:

We have been given a data set of PSAT scores of Mrs. Turay's eight graders. We are asked to find mean and median of the given data set.

(a) Let us find mean of data set by dividing the sum of given scores by the number of students.

$\text{Mean}=\frac{60+62+67+69+70+70+71+75+76+120}{10}$

$\text{Mean}=\frac{740}{10}=74$

Therefore, the mean test score will be 74.

(b) Now let us find median of our given data set. We have been given that number of students is 10, therefore, our median will be the average of 5th and 6th term.

60, 62, 67, 69, 70, 70, 71, 75, 76, 120.

We can see that 5th term is 70 and 6th term is 70 as well.

$\text{Median}=\frac{70+70}{2}$

$\text{Median}=\frac{140}{2}$

$\text{Median}=70$

Therefore, the median test scores will be 70.

(c) We can see that our data set has an outlier score as 120, which has increased the mean. Mean score is greater than median score. Since median is not affected by extreme value outliers, therefore, median will be the best measure of center for given test scores.

3 0

4 years ago

Read 2 more answers

4x2 + 4x =- 4 Find the solutions to the Quadratic equation.

VashaNatasha [74]

Answer:

x=-3

Step-by-step explanation:

(4)(2) + 4x = -4

multiply the 4 and 2

8 + 4x = -4

subtract 8 from both sides

4x = -12

divide both sides by 4

x = -3

7 0

3 years ago

5/8 - 4/5 subtract as indicated and express your answer in lowest terms

Nitella [24]

Answer:

-7/40

Step-by-step explanation:

5/8 - 4/5

~Find common denominators

25/40 - 32/40

~Subtract

-7/40

Best of Luck!

4 0

3 years ago

Find X to solve to problem and find all the angles

sesenic [268]

Answer:

Step-by-step explanation:

x + x + 65 °+ 25° = 180° ( being sum of angles of triangle )

2x + 90° = 180°

2x = 90°

x = 45

now

<A = 45°

< B = x + 65° = 45 °+ 65 °= 110°

< C = 25°

Hope it helps :)

8 0

3 years ago

The volume, V, of a right pyramid with the base area B and height h is calculated by the formula:

Lubov Fominskaja [6]

Answer:

B=V/13*h

Step-by-step explanation:

V=13*B*h

V/13*h=B

6 0

3 years ago