For what value of k is the expression [tex]x^{4}[/tex]+k[tex]x^{2}[/tex]+49 a perfect square?


a. 7

b. 14

c. 49

d. 98

Answers

Answer 1

Answer:

k = 14

Step-by-step explanation:

Given:

x⁴ + kx² + 49

Find:

Value of k

Computation:

x⁴ + kx² + 49

(x²)² + (k)(x²) + 7²

we know that;

a² + 2ab + b²

On compare;

k = 2 x 7

k = 14


Related Questions

Doctor Forrest charges $60 for a home visit plus an additional fee of $12.50 per hour spent with the patient. Doctor Forrest arrives at a patient’s home at 9:30 am. The total bill for the visit was $97.50. What time did the doctor leave the patient's home?

Answers

Answer:

We do not know

Step-by-step explanation:

There is no time when the doctor starts from home, so it is technically impossible to solve.

Find the explicit formula 13,11,9,7

Answers

-2 pattern

13-2=11-2=9 and so on

Vertical angles are non-adjacent angles.

True or False

Answers

The correct answer would be True

simple math monomial problem, 20 points worth, WILL MARK BRAINLIEST.
QUESTION IS ATTATCHED.

Answers

Answer:

1

Step-by-step explanation:

You really just need a calculator for this but to solve by hand just simply separate all the variables and coefficients and then multiply them together at the end.

[tex]-9x^5y^2[/tex]

Since x = -1

[tex]-1^5[/tex] = [tex]-1*-1*-1*-1*-1[/tex] = -1

[tex]\frac{1}{3}^2= \frac{1}{3}*\frac{1}{3}=\frac{1}{9\\}[/tex]

[tex]-9*-1*\frac{1}{9}=1[/tex]

What is the reciprocal of 1 3/4 ?

Answers

Answer:

4/7

Step-by-step explanation:

1 3/4   or   7/4

i think the answer would be 1 4/3 or 7/4

Which graph represents the inequality x < -6?

Answers

Answer:

A.

Step-by-step explanation:

x < -6 means that x is lesser than -6. Thus, C and D are wrong. A filled up dot means that -6 is also a possible number for x, but here it says that x is lesser than -6, so it cannot be -6 itself. Thus, B with the filled up dot is also wrong.

what is 0+12???? I need Help

Answers

Answer:

12, can you help me I need help on my questions please it would mean alot and Ill post more questions with 50 points just help me with that and Ill post the points

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

is this true???

thx broh

Helpppp plz will give brainliest

Answers

11x = 44
X=4
44 + 7 = 51


5x = 20
31 + 20 =51

51 = 51

#3: The Hansen family bought 2 child and 2 adult movie tickets and paid $36.50. The Owens family bought 5 child and 2 adult tickets and paid $60.50. How much does a child movie ticket cost? *

Answers

Answer:

Cost of child movie = x = $8

Cost of adult movie = y = $10.25

Step-by-step explanation:

Let cost of child movie = x

Cost of adult movie = y

Now converting statements into mathematical expressions:

Hansen family bought 2 child and 2 adult movie tickets and paid $36.50.

[tex]2x+2y=36.50[/tex]

Owens family bought 5 child and 2 adult tickets and paid $60.50. [tex]5x+2y=60.50[/tex]

Let:

[tex]2x+2y=36.50--eq(1)\\5x+2y=60.50--eq(2)[/tex]

Subtract both equations:

[tex]2x+2y=36.50\\5x+2y=60.50\\- \:\:\: - \:\:\:\:\:\:\:\: -\\--------\\-3x=-24\\x=\frac{-24}{-3}\\x=8[/tex]

So, we get Value of x =8

Now, putting value of x in eq(1) to find value of y

[tex]2x+2y=36.50\\Put \: x=8\\2(8)+2y=36.50\\2y=36.50-16\\2y=20.5\\y=\frac{20.5}{2}\\y=10.25[/tex]

So, we get Value of y = 10.25

So,

Cost of child movie = x = $8

Cost of adult movie = y = $10.25

Create two different equations that have infinite solutions to the equations .

Answers

Answer:

1. x = y - 2

2. 2y = 2x

Step-by-step explanation:

1. Any number can fit x and y so long as x is 2 lesser than y and y is 2 more than x.

2. x and y can be any number so long as they are the same number.

I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!!

Answers

Answer:

Reason 3

Step-by-step explanation:

Reason 3 is supposed to be prove

Simplify each expression

1. -7(6v+4)+3v(v+3)

2. -3k(2k-3)+7(k-7)

Answers

1. -7(6v+4)+3v(v+3)
-42v-28+3v ²+9v
-33v-28+3v ²
=3v ²-33v-28

2. -3k(2k-3)+7(k-7)
-6k ²+9k+7k-49
= -6k ²+16k-49

Answer:

1. 3v^2 - 33v -28

2. -6k^2 + 16k - 49

Step-by-step explanation:

1. (-7 x 6v) + (-7 x 4) + (3v x 1v) + (3v x 3)

-42v-28+3v^2+9v

3v^2 + 9v - 42v -28

3v^2 - 33v -28

2. (-3k x 2k) + (-3k x -3) + (7 x 1k) + (7 x -7)

-6k^2+9k+7k-49

-6k^2 + 16k -49

what is 9/10 - 2 3/4 i. the simplest form

Answers

−1.85 it says too short so ignore this ssssssndjbdbjddn

-1.85 i think q haha r order

The product of 2 and the sum of 9 and -6, subtracted by 5, equals what number​

Answers

Answer:

1

Step-by-step explanation:

9 + (-6) = 3

2(3) = 6

6 - 5 = 1

Answer:

https://brainly.com/question/20245806

Step-by-step explanation:

Go to the link (you can just press it lol)

Jeremiah flies an airplane for 2.7 hours at an average speed of 304.6 miles per hour. How far did Jeremiah fly?
82.242 miles
822.42 miles
8,224.2 miles
82,242 miles

Answers

Answer:

b) 822.42

Step-by-step explanation:

Just multiply 2.7 by 304.6 and your answer would be 822.42

Answer:

answer is b

Step-by-step explanation:

1/2(x − 2) = 4x − 9/2x − 4 What is the solution?

Answers

sorry . I had done it wrong

raise v to the 2nd power, then subtract w

Answers

Answer: v^2 - w

Step-by-step explanation: any specific numbers that need to be plugged in?

What's 2|–9| – |–2|?
Question 7 options:

A)

–18

B)

20

C)

16

D)

–20

Answers

Answer: C) 16

Step-by-step explanation:

= 2(9) - 2

= 18 - 2

= 16

Answer:

16, C

Step-by-step explanation:

|-9| is 9

|-2| is 2

2*9 - 2

18-2

16

I need help with this rate of change problem

Answers

Answer:

-0.5 (-1/2)

Step-by-step explanation:

Answer:

m= -1/2

Step-by-step explanation:

Slope formula

m= y2-y1/x2-x1

plug the given points in which are (7,-4) (5,-3)

m= -3-(-4)/ 5-7

m= 1/-2 which can be rewritten as -1/2

Evaluate the function graphically

find f(1)​

Answers

Answer:

-6

Step-by-step explanation:

f(1)=-3

why because f(x)=y

so x=1

you go to the x-cordinate and u see where the y-cordinate is

-3

For the graph the answer is -3 for the exterior it's -6

Have a wonderful day/night ask me if you have more math questions

Brainliest Please.

Which pair of triangles below can be shown to be similar using AA similarity?

350
700
890
67°
7670
249
1640
490
750
820
630
54°

Answers

The second option shows AA symmetry.
The angles of a triangle have to add up to 180. When adding the given angles, you will find that the missing angle is equal to what is given in the other triangle.
An example is how in the second option’s triangle, the two given number add up to 91. 89 is needed to make it equal 180 and 89 is in the same position is the first triangle.

Triangle second and third can be shown to be similar using AA similarity when we take two angles between them.

What is similarity?

In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

How to check similarity of triangle?

In second and third triangle two angles whose measures are 24 degrees and 67 degrees are in both triangles, which is the condition of AA similarity.

To check AA similarity we have to check whether two angles are equal in two triangles to be similar.

Learn more about similarity at https://brainly.com/question/24184322

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Find the component form of the vector that translates P(4,5) to p'.
P'(-3,7)

Somebody help!!

Answers

Answer:

The component form of the vector P'P is [tex]\left \langle -7, 2 \right \rangle[/tex]

Step-by-step explanation:

The component form of the vector that translates P(4, 5) to P'(-3, 7), is given as follows;

The x-component of the vector = The difference in the x-values of the point P' and the point P = -3 - 4 = -7

The y-component of the vector = The difference in the y-values of the point P' and the point P = 7 - 5 = 2

The component form of the vector P'P = [tex]\left \langle -7, 2 \right \rangle[/tex]

the sum of three numbers is 87. the second number is 2 times the third. the first number is 5 less than the third. what are the numbers?

Answers

The required numbers are 18,46 and 23.

This problem requires the idea of linear equation of 1 variable.

To clear up the linear equation we also need to recognize the BODMAS policies and the way to solve algebraic equations.

in this query the sum of the 3 numbers is 87.

let us count on that the third variable be x.

the second one variable is 2x.

The first variable is (x-5).

Now according to the question,

   [tex](x-5)+2x+x=87[/tex]

⇒ [tex]4x-5=87[/tex]

⇒ [tex]4x=87+5[/tex]

⇒[tex]4x=92[/tex]

⇒ [tex]x=\frac{92}{4}[/tex]

∴ x=23

So, the third number is 23.

The second number is 2x i.e., 46.

The first number is (x-5) i.e., 18.

To learn more about the linear equation visit the link:

https://brainly.com/question/11897796

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Helllpppp meeeee plsssssss

Answers

Answer:

The inequality [tex]\frac{8}{4}\:<\frac{5}{2}\:[/tex]  is true.

Step-by-step explanation:

Given

[tex]\frac{8}{5}<\frac{9}{10}[/tex]

FALSE

Reason: 8/5 or 1.6 is greater than 9/10 or 0.9  

[tex]1>\frac{6}{5}[/tex]

FALSE

Reason: 1 is smaller than 6/5 or (1.1)

[tex]\frac{5}{2}<2\frac{1}{2}[/tex]

converting mixed number to improper fraction

[tex]\frac{5}{2}<\frac{5}{2}[/tex]

FALSE

Reason: 5/2 can not be less than 5/2

[tex]\frac{8}{4}\:<\frac{5}{2}\:[/tex]

[tex]2<\frac{5}{2}[/tex]

TRUE

Reason: 2 is indeed smaller than 5/2 or 5.2        ∵ 5/2 = 2.5

Therefore, inequality [tex]\frac{8}{4}\:<\frac{5}{2}\:[/tex]  is true.

Solve for x given the lines are parallel.
7(x - 710
126°

Answers

Answer:

the answer is 87

Step-by-step explanation:

A hoverboard is on sale for 10% off the original price of 247.50

Answers

Answer:

$222.75

Step-by-step explanation:

0.9*247.50

hope this helps :D pls mark brainliest :D

Kate buys a wheelbarrow priced at $53. Shipping and handling are an additional 30% of the price. How much shipping and handling will Kate pay?

Answers

Answer:

$15.90

Step-by-step explanation:

30% of 53 is 15.90

Evaluate the expression
5−2−2+10
= -2

-6
14
2
22

Answers

It should be noted that the value of the expression 5 - 2 - 2 + 10 will be 11.

How to illustrate the information?

Mathematical operators like addition, subtraction, multiplication, and division are used to create expressions in writing.

You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression.

For example, x + 6 = 12. Since 6 + 6 equals 12, the variable x in the example above is equal to 6. We can substitute the variables with their values and then evaluate the expression if we know the values of our variables.

Based on the information illustrated, it should be noted that the value of the expression 5 - 2 - 2 + 10 will be 11.

Learn more about expressions on:

https://brainly.com/question/723406

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Two life insurance companies determine their premiums using different formulas:
Company A: p= 2a+24
Company B: p= 2.25a+13 where p represents the annual premium, and a represents the client's age. Use the graph to determine the age at which both companies charge the same premium.

Answers

Answer:

The age at which both companies charge the same premium is 44 years

Step-by-step explanation:

Graph Solution to System of Equations

One approach to solving systems of equations of two variables is the graph method.

Both equations are plotted in the same grid and we find the intersection point(s) of both graphs. Those are the feasible solutions.

The annual premium p as a function of the client's age a for two companies are given as:

Company A: p= 2a+24

Company B: p= 2.25a+13

The graphs of both functions are shown in the image below.

The red line indicates the formula for Company A and the blue line indicates the formula for Company B.

It can be seen that both lines intersect in the point with approximate coordinates of (44,112).

The age at which both companies charge the same premium is 44 years

what is the scientific notation for 92100

Answers

Answer:

9.21*10^4

Step-by-step explanation:

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