The equation
(k + 3) x^2+ 6x + k = 5, where k is a constant,
has two distinct real solutions for x.
Show that k satisfies
k^2– 2k – 24 < 0

Answers

Answer 1

Answer:

Get an answer for 'The equation(k+3)x^2+6x+k = 5, where k is a constant, has two distinct real solutions for x.Show that k satisfies k^2-2k-24<0' and find ...Step-by-step explanation:


Related Questions

what is a expression that equals 3/8? Like a written out expression?​

Answers

Answer: not sure what this question means but i assume three eighths or 0.375

Depends on context

Step-by-step explanation:

help me with this please​

Answers

Answer: D. 3 x 10^7

Step-by-step explanation: 9.6/3.2=3 and 10^9/10^2 is 9-2=7, so 10^7, so it would be 3 x 10^7.

The answer is the last one because 9.6 divided by 3.2 is three and then the exponents subtract from one another is 7 so it’s the last one. Good luck!

A single train ticket cost $3.50.A book of 5 cost 15.00. How much money can be saved by buying a book of 5 tickets rather than 5single tickets?

Answers

Answer:

$2.50

Step-by-step explanation:

$3.50 * 5 = $17.50

$17.50 - $15.00 = $2.50

Hope this helps

Answer:

3.50 x 5 = 17.50 - 15.00 = 2.50

Step-by-step explanation:

youll save $2.50

Sumina sold 22 pairs of shoes each day, Monday through Wednesday, 28 pairs on Thursday, and 31 on Friday. How many shoes must he sell on Saturday to average 29 pairs sold for the 6 days he worked during the week?

Answers

Answer:

asdawdad

Step-by-step explanation:

dasdsadasdsadadawddawdwadddddddddd

v=lwh (solve for w)​

Answers

V/lh=w
Hope this helps you

Rebecca wants to bye cupcakes and juice boxes for a party.Cupcakes come in packages of 12, and juice boxes come in packages of 10. She wants an equal number off cupcakes and juice boxes.What is the fewest number of packages of each Rebecca should buy?

Answers

2

2 is the highest number that both 10 and 12 are divisible by


hope this helps

Answer:

Rebecca would need to buy 5 packages of cupcakes and 6 packages of juice boxes

Step-by-step explanation:

To find the equal number of cupcakes and juice boxes, you have to find the LCM(least common multiple)

12×1 = 12 ≠ 10 ×1 = 12

12×2 = 24 ≠ 10×2 = 20

12×3 = 36 ≠ 10×3 = 30

12×4 = 48 ≠ 10×4 = 40

12× 5 = 60 ≠ 10×5 = 50

12 × 5 = 60 = 10×6 = 60

Therefore, Rebecca would need to buy 5 packages of cupcakes and 6 packages of juice boxes

Hope this made sense!!!

What is the length of line segment JK?
A)
106
B)
13
C)
19
D)
67

Answers

Answer:

I can say with certainty the answer is B: 13 :)

The length of the line segment is 13

Charley Davis is 1/4 as old as his father. The sum of their ages is 45. How old is each person?

Answers

Answer:36 dad 9 charley

Step-by-step explanation:

Answer:

dad is 36 and charley is 9

Step-by-step explanation:

What is the period of y = cos 0?

Answers

Answer:

y=1

Step-by-step explanation:

Ram’s father is 38 years old. His age is three more than five times the age
of Ram. What is Ram’s age?​

Answers

Ram is seven years old

The goal of a benefit concert is to collect 50,000 cans of food. Food is collected at each entrance to the concert.

Entrance A, 15,682 cans

Entrance B, 18,940 cans

Entrance C, 16,114 cans

Entrance D, 12,468 cans

Did they collect more or fewer cans than desired? How many more or fewer?

A.

13,204 more

B.

3,204 more

C.

13,204 fewer

D.

3,204 fewer

Answers

The answer is A: 13,204 more

If you take all those and add it together and subtract it, it comes out to 13,204.

Tracy stopped at the convenience store on her way to school. With tax, bottles of soda cost 1.50 and bags of chips cost 2.50. If she has 12, what is the greatest number of bags of chips she can buy and still have enough money left to buy two bottles of soda?

Answers

Answer:

i think the answer is 3 she can buy 3 bags of chips

Step-by-step explanation:

as a fraction,
please help this is due tommorow ;-;

Answers

I think the answer is 0/135. This problem doesn’t even add up to 135 but let’s say it did. Everybody listed was in a facility meaning nobody selected could’ve not been on a facility.

What is an equation of the line that passes through the point (5,-8) and is perpendicular to the line 5x- 4y= 16

Answers

4x +5y = -20

for an equation in standard form, you can write the equation for the perpendicular line by swapping the x- and y-coefficients and negating one of them. you need the x-coefficient to be positive, so it is needed to negate that one here. This gives you the equation ...
4x +5y = (some constant)
You find the value of the constant by evaluating the expression at the given point:
4x +5y = 4(5) +5(-8) = -20
The equation is 4x +5y = -20

Answer

y=-4/5x-4

see soulutoin

math statistics sba problem

Answers

What is the question ?

Plz help me and solve step by step
Thank you.

Answers

Answer:

Inequality: [tex]5x+6\geq 31[/tex]

Solution: [tex]x\geq 5[/tex]

Step-by-step explanation:

"Six more" is asking you to add 6, so add 6 to 5 times x.

"At least" means equal or greater than, so the inequality has to be equal or greater than 31.

To solve for x, subtract 6 from both sides of the inequality to get [tex]5x\geq 25[/tex]

Then divide both sides by 5 to get [tex]x\geq 5[/tex]

Select all the ratios that are equivalent to each other. 4:7, 8:15, 16:28, 2:3, 20:35

Answers

Answer:

4:7 16:28 20:35

Step-by-step explanation:

Answer:

4:7 = 16:28

Step-by-step explanation:

4 × 4 = 16

7 × 4 = 28

it would be wonderful if someone could help:)

Answers

Answer:

Step-by-step explanation:

-5=y then you go upper to you  to get just five

The rise is -4 because you go down by four lines to get from point to point. The run is 1 because you had to move to the right one. The slope would be -4 because -4/1 = -4.

What is the value of y?

A. Cannot be determined
B. 65°
C. 60°
D. 120°​

Answers

Answer:

C. 60°

Step-by-step explanation:

The angles in a triangle add up to 180°.

You are given 60° and 60°.

Add them

60 + 60 = 120

Subtract 120 from 180.

180 - 120 = 60°

The answer is 60°

a p e x

Write as an expression: the quantity 8 plus x multiplied by -4.


Will give 15 points ASAP

Answers

i think it would just be 8+x*-4 but im not sure

A radar operator on a ship discovers a large sunken vessel lying parallel to the ocean surface, 120 m directly below the ship. The length of the vessel is a clue to which wreck has been found. The radar operator measures the angles of depression to the front and back of the sunken vessel to be 55° and 46°. How long, to the nearest tenth of a metre, is the sunken vessel?

Answers

Answer:

The length of the sunken vessel, to the nearest tenth is 200 m

Step-by-step explanation:

The given information are;

The depth of the sunken vessel below the ship = 120 m

The angle of depression to the front of the sunken vessel = 55°

The angle of depression to the back of the sunken vessel = 46°

Therefore, we have;

The length, A, of the from directly below the ship to the front of the sunken vessel given as follows;

Tan(55°) = ((120 m)/A)

A = 120 / Tan(55°) ≈ 84.025 m

The length, B, of the from directly below the ship to the back of the sunken vessel given as follows;

tan(46°) = ((120 m)/B)

B = 120 / tan(46°) ≈ 115.88 m

The length, L,  of the sunken vessel = A + B

L = A + B = 120 / Tan(55°) + 120 / tan(46°) ≈ 84.025 m + 115.88 m ≈  199.91 m

∴ The length, L, of the sunken vessel, to the nearest tenth = 200 m.

Consider the following ordered pairs that represent a relation.
{(-4,-7), (0, 6), (5,-3), (5,2)}
What can be concluded of the domain and range for this relation? Check all that apply.
The domain is the y values of the ordered pairs.
The range is the set of output values.
The given relation is a function.
Zero is included in the range of the relation.
5 is included in the domain of this relation,

Answers

2 Answers: Choice B, Choice EThe range is the set of output values.5 is included in the domain of this relation.

==========================================

Explanation:

Choice A is false because the domain consists of the x values, not the y values. The domain is the set of allowed inputs.Choice B is true because the range is the set of possible output y values.Choice C is false because the input x = 5 leads to multiple outputs (y = -3 and y = 2 at the same time). Plotting all the points on the same xy grid shows the relation fails the vertical line test.Choice D is false because y = 0 is not in any of the points. Choice E is true since x = 5 is part of (5,-3) and (5,2)

Answer:

The answers are B.) The range is the set of output values. and E.)

5 is included in the domain of this relation.

Step-by-step explanation:

This is right on edg. 2020

Use the zero product property to find the solutions to the equation x2 – 9 = 16.

Answers

Answer: x=5 or x=−5

Step-by-step explanation:

If you know that the vertex of a function is (-3,2) and the value of a=-1 then what is the vertex form of the function

Answers

the vertex form would be f(x) = -1(x+3) +2
a is the slope of the equation
-3 is the h of the equation (which has to have the opposite sign when you make the equation from the vertex)
and 2 is the y intercept

Which of the following numbers is closest to 9?
A. 83
B. 82
C. 79
D. 78

Answers

Answer:

D.78

Step-by-step explanation:

Because 78 is the least and its closer to 9

Hoped I helped-

Sleepy~

Evaluate f(x) = 4x + 1 when x = - 1

Answers

Answer:

-3

Step-by-step explanation:

4.-1=-4 +1=-3 this is the Explain

Question
Enter a recursive rule and an explicit rule for the arithmetic sequence. Then, find the 20th term of the
sequence
55, 65, 75, 85,-
The recursive rule is f(1) =
f(n)=f(?
+
The explicit rule is f(n) =
+
?
f(20) =

Answers

Answer:

The recursive rule is [tex]f(1)[/tex] = first term;  [tex]f_({n})[/tex] = [tex]f_({n-1})[/tex] + d

f(1) = 55;  [tex]f_{20}[/tex] = [tex]f_{19}[/tex]  + 10

The explicit rule is f(n) = f(1) + (n - 1)d

f(20) = 245

Step-by-step explanation:

The recursive rule of the arithmetic sequence is

[tex]a_{1}[/tex] = first term;   [tex]a_{n}[/tex] = [tex]a_{n-1}[/tex]  + d

Where:

[tex]a_{1}[/tex] is the first term in the sequence [tex]a_{n}[/tex] is the nth term in the sequence  [tex]a_{n-1}[/tex] is the term before the nth term  n is term number d is the common difference.

The explicit rule of the arithmetic sequence is

[tex]a_{n}=a_{1}+(n-1)d[/tex]

where:

[tex]a_{1}[/tex] is  the first term in the sequence [tex]a_{n}[/tex] is the nth term in the sequence  n is term number d is the common difference

∵ The first 4 terms of the sequence are 55, 65, 75, 85

∴ [tex]a_{1}[/tex] = 55

∵ d = 65 - 55

∴ d = 10

∵ We need to find the 20th term

∴ n = 20

∵ The recursive rule is [tex]f(1)[/tex] = first term;  [tex]f_({n})[/tex] = [tex]f_({n-1})[/tex] + d

→ Substitute the values of [tex]a_{1}[/tex], n, and d in recursive rule

∴ f(1) = 55;  [tex]f_{20}[/tex] = [tex]f_{19}[/tex]  + 10

∵ The explicit rule is f(n) = f(1) + (n - 1)d

→ Substitute the values of n and d to find it

∴ f(20) = 55 + 19(10) = 245

∴ f(20) = 245

Diana usually drives at average rate of 30 mph.

If Diana drives with the average rate x mph, how long would it take her to get to Tony's house?
PLZZZZZ HELP QUICK I WILL MAKE YOU BRAINLIST

Answers

Answer:

12/x hours

Step-by-step explanation:

d=12

s*t=d

t=d/s

t=12/s

heeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp

Answers

Answer:

(3,0)(0-10)

Step-by-step explanation:

check if it is helpful for u

Write the equation of the line that passes through the point (3,5) and is perpendicular to the line y=3.
x=3
y=5
x=2
y=3

Answers

Answer:

x=3 and y=5 passes through(3,5)

x=2 and x=3 is perpendicular to y=3

so anwer is x=3

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