Find the zeros of the function algebraically.
f(x) = 16x4 − 49x2

Answers

Answer 1

Answer: Plz mark me brainlest

Step-by-step explanation:

Just Simply Use Identity:

 

  a^2 - b^2 = ( a+b) ( a-b)

   Then:

     ( 49X^4 - 36 X^2) = 0

       (7 X^2 + 6 X) ( 7X^2 - 6X) =0

       7X^2 + 6X = 0, then           X( 7X +6) =0    X=0,  7x +6 =0   X = -6/7

           7X^2 -6x =0                   X( 7x - 6) =0   X =0   7x -6 =0    X =6/7

Answer 2

Pull out a factor of x² from f(x) :

16x⁴ - 49x² = x² (16x² - 49)

Now write it as a difference of squares, then factorize:

16x⁴ - 49x² = x² ((4x)² - 7²)

16x⁴ - 49x² = x² (4x - 7) (4x + 7)

Set this equal to 0 and solve for x :

x² (4x - 7) (4x + 7) = 0

x² = 0   or   4x - 7 = 0   or   4x + 7 = 0

x = 0   or   x = 7/4   or   x = -7/4


Related Questions

Select all of the situations below that can be modeled by the expression 4 + 3x.
Four more than three and a number.
Four more than three times a number.
The sum of three times a number and four.
The sum of the product of four three, and a number.
The sum of four and the product of three and a number.​

Answers

Answer:it’s b

Step-by-step explanation:

I just did it on ede

A horse has a speed of 10 miles per hour. The horse has traveled 15 milles. How many miles in total if it rides for another hour?

Answers

Answer:

d = 24.

Step-by-step explanation:

Daud can jog 4 miles in 75 minutes. What is David's jogging rate per hour?

Answers

Answer:

3 mph

Step-by-step explanation:

1 hour = 60 minutes.

4 miles/ 75 minutes = x miles / 60 minutes

240 = 75 x

x = 3.2

3.2 miles per hour

Evaluate the function for f(-9 if (x) = 3/5 x + 8

A. 67/5
B. -67/5
C. -13/5
D. 13/5

Answers

Answer:

D

Step-by-step explanation:

f(-9) = 3/5(-9) + 8 = 13/5

HELP PLEASE I NEED ANSWERS FAST I'LL GIVE BRAINLIEST TO CORRECT ANSWER!!!

Find the measures of all four angles.

m∠AEB = ____° m∠CED = ____°
m∠BEC = ____° m∠DEA = ____°

Answers

Answer: ∠BEA ≅ ∠BEC

Step-by-step explanation:

AEB= 72
CED= 72
BEC= 108
DEA= 108

Hope this helped!

ratio of 12/7 and 36/21

Answers

The answer is true you welcome

What is the equation of a line that is perpendicular to the line y = 2x + 4 and passes through the point (-2, 3)?

Answers

Answer:

[tex]y=-\frac{1}{2} x+2[/tex]

Step-by-step explanation:

The given equation is written in slope-intercept form:

[tex]y=mx+b[/tex]

where:

m is the slopeb is the y-interceptx and y are the corresponding coordinate points (x,y)

The slope is 2:

When two lines are perpendicular, their slopes will be opposite reciprocals. Find the slope of the line perpendicular to the given equation:

[tex]m_{1}=2[/tex]

This can be seen as:

[tex]m_{1}=\frac{2}{1}[/tex]

Flip the fraction (reciprocal):

[tex]\frac{2}{1}[/tex] → [tex]\frac{1}{2}[/tex]

Now find the opposite:

[tex]\frac{1}{2}[/tex] → [tex]-\frac{1}{2}[/tex]

So the slope of the perpendicular line is:

[tex]m_{2}=-\frac{1}{2}[/tex]

Now make an equation written in point-slope form:

[tex]y-y_{1}=m(x-x_{1})[/tex]

where:

m is the slope[tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the corresponding coordinate points [tex](x_{1},y_{1})[/tex]

Insert information:

[tex]y-3=-\frac{1}{2} (x-(-2))\\\\y-3=-\frac{1}{2} (x+2)[/tex]

Simplify to slope-intercept form. Solve for y:

Use the distributive property:

[tex]y-3=-\frac{1}{2}(x)-\frac{1}{2} (2)\\\\ y-3=-\frac{1}{2} x-1[/tex]

Add 3 to both sides to isolate the variable:

[tex]y-3+3=-\frac{1}{2} x-1+3\\\\y=-\frac{1}{2} x+2[/tex]

:Done


You're saying 5/6 + 7/8 has the greatest possible value.

How do you know for sure?


Plz help me

Answers

Answer:

yes you are saying 5-9-16 is greatest possible value but how can you show it please help me I am also

Which statement is false A the inequality sign alwats opens up to the largers number. B the greater number in the equality is always above the number on the vertical number line. C the smaller number is inequality is always located to the left of the other number on the horizontal number line. D inequality sign always open up to a smaller number

Answers

Answer:

D inequality sign always open up to a smaller number

Step-by-step explanation:

Solve each equation.Check your solution

Answers

s=2 because i did the math

After my salary was increased by 12%, it was $62,720. What was my salary before the increase?
I'll mark brainliest!

Answers

Answer

56,000

Step-by-step explanation:

How much carpet would you need in square feet to cover a floor with dimensions of 12 feet by 15 feet?

Answers

Answer:8

Step-by-step explanation:

Area = Length x Width.

simple room measurement

Measure the length using the distance from one wall to the opposite wall.

Measure the width from wall to wall.

Add 2 to 4 inches to each side. This accounts for waste, doors and slanting walls. It’s easy to cut a little off for a perfect fit, but it’s impossible to add without creating unsightly seams.

Multiply the length times the width or enter those into the calculator above. This is your total square footage for that room.

Repeat this process for each room.

NOT SURE HOW MU

Answer:

oi hi how are you

Step-by-step explanation:

4x + 6 = 8x – 10 graphing

Answers

Answer:

Step-by-step explanation: First things first, you have to have the variables on one side. To do that, subtract 4x from each side.

4x + 6 = 8x - 10

-4x         -4x

Now you have your equation that is ready to graph.

6 = 4x - 10

Use a graphing calculator and put in the equation. You can also go to desmos.com

When you are done you will see your graph as well as the answer.

3.5+y=-1 solve for y

Answers

Answer:

C is your best bet i got it good on ed

Answer:

-4.5

Step-by-step explanation:

A company that manufactures dishwashers is testing their latest product to see how long it takes to cool down once a cycle is complete. The function, f(x) = 360 - 15x, represents the cooling cycle, where x is equal to the number of minutes and f(x) is equal to the temperature of the dishwasher after x minutes.

Answers

Step-by-step explanation:

Given that the function for the temperature of the dishwasher is

f(x) = 360 - 15x

We are told that x represents the number of minutes it takes to cool down.

with a given/known value of x we can predict the temperature of the dishwasher.

Say x=12 minutes, we can tell what the temperature will be after 12 minutes

by plugin in the value of x=12 in the expressions for the temperature

f(x) = 360 - 15(12)

f(x) = 360 - 180

f(x) = 180

The temperature after 12 minutes will be 180°

will give free brainlyest
Answer the following question using a Collins Type 2 writing format:
Give 1-2 reasons how reading current event articles help us better understand geographic issues?

Answers

Step-by-step explanation:

Because by reading the article they help us find the information we need to find and better understand the current events for geography issues.

Evaluate7r -
3
when r=2.5 andq=12.
+6)
A. 3.5
B. 4.5
C. 5.5
D. 7.5

Answers

Answer:

14.5

Step-by-step explanation:

Questions
1 point
Previous
Calculate the mean of Bryanna's test scores if she has scored 75, 97, and 92 so far this
semester
A 284
o
B
88
c. 75
D

Answers

Answer:  88

Work Shown:

Add up the values

75+97+92 = 264

Then divide by 3 since there are 3 scores

264/3 = 88

You can write this all as one step

(75+97+92)/3 = 88

So in short, you add the scores and then divide by the number of scores.

Which table represents a linear function that has a slope of 5 and a y-intercept of 20?​

Answers

Answer:

Step-by-step explanation:

Note that if it has a y- intercept of 20, this means that when x = 0 , y = 20

Find the table which shows that :)

Solve this problem please :)

Answers

The Answer is B 8/3 :)

Answer:
first question is 25
next question is 12
the last question is 1/16

Answers

this is the answer to what

Answer:

what

Step-by-step explanation:

Audrey has already scored 53 points,and scored 22 more points with every coin she collects.How many coins does Audrey have to collect to score a total of 97 points​

Answers

Answer:

Audrey needs to collect 3 more coins.

Step-by-step explanation:

Since she already scored 53 points, we have to find out how many more points she needs to score 97.

So, 97-53=45 points.

The problem says that each coin Audrey collects is worth 22 points. Therefore, 45 divided by 22= 2 remainder 1. However, if she only collects two more coins, Audrey will only have 96 points in total, not 97.

So, add another coin to make 3.

Complete each statement from the information given and state the reasons and the triangle criterion you used. If the triangles cannot be shown to be congruent, leave the box for the second triangle blank and chose for reason “Cannot be determined.”

Chapter Reference
b
∆FSH ≅ △_____
By rule ______

Answers

Answer:

∆FSH ≅ △_____

By rule Cannot Be Determined

Step-by-step explanation:

Both do not have an answer.

what is 1111 * 1111?
it is my favorite math problem and 1111 is satisfying to say in chinese

Answers

Answer:

1,234,321

Step-by-step explanation:

1111 × 1111 = 1,234,321

I hope this helps!

Read the proof.
What is step 2?

sin(2x) = cos(x)cos(x) – sin(x)sin(x)
sin(2x) = sin(x)cos(x) – sin(x)cos(x)
sin(2x) = cos(x)cos(x) + sin(x)sin(x)
sin(2x) = sin(x)cos(x) + sin(x)cos(x)

Answers

Answer:

The correct answer is D) sin(2x) = sin(x)cos(x)+sin(x)cos(x)

Step-by-step explanation:

Right answer on Edge

The step 2 will be;

⇒ sin (2x) = sin (x) sin (x) + cos (x) cos (x)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The steps are;

Step 1; sin (2x) = sin (x + x)

Step 3; sin (2x) = 2 sin (x) cos (x)

Now,

Since, The steps of the solution are;

Step 1; sin (2x) = sin (x + x)

Step 3; sin (2x) = 2 sin (x) cos (x)

Hence, We get;

All the steps as;

⇒ sin (2x) = sin (x + x)

⇒ sin (2x) = sin (x) sin (x) + cos (x) cos (x)

⇒ sin (2x) = 2 sin (x) cos (x)

Thus, The expression for step 2;

⇒ sin (2x) = sin (x) sin (x) + cos (x) cos (x)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

-0.2525 rational or not

Answers

Answer:

NOT

Step-by-step explanation:

Rational.

Round it...

-0.25

Turn it into a fraction...

-25/100.

It can be a fraction. Thus, it is rational.

What does f(1) represent in a sequence?

Answers

Answer: First term.

Step-by-step explanation:

An ordered list with a pattern is  known as a sequence.It is denoted by [tex]<f(n)>[/tex] or [tex]<a_n>[/tex], where n is any natural number.

i.e. Domain for this function is natural number.

Natural number starts with 1.

so, at n=1 f(1) represents the first term in a sequence.

Hence, f(1) represents "first term" in a sequence

sum of two integers is -30 if one of them is 15 find the other integer pls urgent will mark u the brainliast​

Answers

-45
Because you do 15-45 which is -30

Answer:

-45

Step-by-step explanation:

Sum of two integers = -30

one of them = 15

let another number be 'x'

x + 15 = -30

x = -30 - 15

x = -45

so the other number is -45

Chaney is spending the day by selling candy bars for $5 a piece . He spent $13 on supplies. He ended the day with $32, how many candy bars did he sell?​

Answers

The answer is 9 Candy Bars

Turn the following fraction into a PERCENT: 15/60 ​

Answers

15/60 simplified is 1/4 so the answer is 25%
If you divide 15 and 60 it will give you .25 which is 25%
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