find the values for k
5k^2 - 4k > 0
Answers
Answer:
[tex]5k^2-4k>0[/tex]
[tex]k(5k-4)>0[/tex]
In the image attached, you want the values above 0. Thus, the values of k would be in the red area, which is
[tex]k<0[/tex] or [tex]k>\frac{4}{5}[/tex]
Related Questions
give the intersection points of y=x^5 and y=x^7
Answers
Step-by-step explanation:
that means both functions deliver the same result for the same x.
therefore
x⁵ = x⁷
one solution is of course, x = 0.
the other(s) we get for x<>0 by dividing both sides by x⁵ :
1 = x²
that means we have 2 more solutions (a quadratic equation has 2 solutions, a cubic equation has 3 solutions,...) :
x = 1
x = -1
so, the intersection points are
for x = 0, we get y = 0⁵ (or 0⁷) = 0
for x = 1, we get y = 1⁵ (or 1⁷) = 1
for x = -1, we get y = (-1)⁵ or (-1)⁷ = -1
(-1, -1)
(0, 0)
(1, 1)
The intersection points of the function y = x⁵ and y = x⁷ are (0, 0) , (1, 1) and (-1 , -1).
What is Intersection point?
The intersection point is the point at which the two lines are cuts to each other.
Given that;
The equations are,
⇒ y = x⁵
⇒ y = x⁷
Now, Solve for intersection point as;
The equations are,
⇒ y = x⁵
⇒ y = x⁷
Equate both equation to each other, we get;
⇒ x⁷ = x⁵
Subtract x⁵ both sides , we get;
⇒ x⁷ - x⁵ = x⁵ - x⁵
⇒ x⁷ - x⁵ = 0
⇒ x⁵ (x² - 1) = 0
This gives two conditions;
⇒ x⁵ = 0
or, ⇒ x² - 1 = 0
Solve both the equations as;
⇒ x⁵ = 0
⇒ x = 0
And, x² - 1 = 0
( x - 1 ) (x + 1) = 0
x = 1 or x = -1
Thus, The values of x are 0 , 1 and -1.
So, The intersection points are;
For x = 0; y = x⁵ = 0
For x = 1; y = x⁵ = 1
For x = -1; y = x⁵ = -1
Thus, The intersection points of the function y = x⁵ and y = x⁷ are (0, 0) , (1, 1) and (-1 , -1).
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The sum of two numbers is 72.The difference is 40.Find the number
Answers
the answer is 56 and 16
Step-by-step explanation:
56 and 16
What is the slope of the line through points J and L?
Answers
Answer:
Slope: 2/3
Step-by-step explanation:
Can somebody help me i've been stuck on this for awhile its because i dont get it
Answers
Answer:
15 students aren't wearing blue or white
Step-by-step explanation:
1/10 of 30 = 3
2/5 of 30 = 12
3 + 12 = 15
30 - 15 = 15
Explanation:
1/10 of 30 is 3
2/5 of 30 is 12
3+12=15
30-15=15
Terry lost 4 pounds over the summer this is for more than half the weight she wanted to lose by December how much does Terry want to lose
Answers
Answer:
7 pounds?
Step-by-step explanation:
jamie made 40 cupcake she frosted 1/2 of the cupcakes . of th frosted cupcake she put sprinkies on 1/5 of them , she ate 1/4 of the frosted cupcakes that had sprinkle
Answers
Explanation:
40 • 1/2= 20
20 • 1/5 = 4
1/4 • 4 = 1
How to simplify a fraction with an exponent?
Answers
Answer:
Here you go
Step-by-step explanation:
it's all in the screenshot
Classify the sample space as finite or infinite. If it is finite, write the sample space. If it is infinite, classify whether it is discrete or continuous.
A letter is randomly chosen from the alphabet.
Answer 1:
A. Infinite
B. Finite
Answer 2:
A. Discrete
B. Continuous
Answers
Answer:
Answer 1
Because the alphabet can end,it is not unlimited
please help me with this! :)
Answers
Answer: w x 7 + 6 x 7
Step-by-step explanation:
I really can't explain.
given the binomial (x+a) and (b), how would you find the product?
Answers
Answer:
bx + ba
Step-by-step explanation:
Product is multiplication
[Given] (x+a) * (b)
[Reorder] b(x + a)
[Dsitribute] bx + ba
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
solve pls brainliest
Answers
Answer:
Integers are 55, -21/7, -35/7 ,
Step-by-step explanation:
Integers are whole number and their opposites. ... -3, -2, -1, 0, 1, 2, 3, ...
Integer
55 Yes Reason
83.61 No Not a whole number
-21/3 = -7 Yes Reduces to a whole number
-35/7 = -5 Yes Reduces to a whole number
-1/8 No Not a whole number, it is a faction
what is 2234x44321=?
Answers
Answer: 99013114
Step-by-step explanation: Due to the solution to your question. 2234x44321= 99013114. This is because we multiply each digit to its own other digit.
What is the period of the trigonometric function f(t) = 3sin(t/2)?
A) 2Pie
B) 3pie
C) 4pie
D) pie/2
Answers
A car speeds up from 8.50 m/s to
22.2 m/s in 3.84 s.
The acceleration of the car is:
A. 20.0 m/s2
B. 7.99 m/s2
C. 2.72 m/s2
D. 3.57 m/s2
Answers
how many morerock cds than classical cds were sold
Answers
Bridget was thinking of a number. Bridget adds 11 then divides by 9 to get an answer of 67.
Form an equation with x from the information.
Answers
Answer:
(x + 11) ÷ 9 = 67
or
[tex]\frac{(x + 11)}{9}[/tex] = 67
Step-by-step explanation:
Let x be the number
noah is taking a survey after answering 16 questoins
Answers
Answer:
ok
Step-by-step explanation:
I am ready noah for your survey :)
A number is between 14 and 19. It has prime factors of 2 and 3. What is the number
Answers
Answer:
18
Step-by-step explanation:
18devided by 3 is 6 and 18 divided by 2 is 9
The number that has prime factors of 2 and 3 is 18.
What are prime factors?
Prime factors are factors that are prime numbers. Prime numbers are numbers that are divisible by one and itself. Examples are 2 and 3.
What are the factors of the numbers between 14 and 19?
Factors of 15 = 1, 3, 5, 15 Factors of 16 = 1, 2, 4, 8, 16Factors of 17 = 1, 17Factors of 18 = 1, 2, 3, 6, 8, 16To learn more about factors, please check: https://brainly.com/question/26073850
The bulletin board is in the shape of a square. Find two rational numbers that are within 1/8 in. of the actual side length.
Answers
Using the formular for the area of a square, the actual side length of the bulletin board is 12.25 inches
Area of a square = s²
s = side length of the squareHence, we have ;
150 = s²
s = √150
s = 12.247
Hence, a rational number within 1/8 inches of the actual side length would be 12.25 inches.
Learn more : https://brainly.com/question/25562438
Suppose a candy bar weighs 5.47 ounces. How much does a pack of 6 bars weight
Answers
Answer:
32.82
Step-by-step explanation:
Answer:
32.82 OUNCES
Step-by-step explanation:
It is really easy.
All you have to do is 5.47x6
Heyyyy help meeee please
Answers
Step-by-step explanation:
[tex] \frac{2}{3} of \: 54 = 36 \\ \\ \frac{1}{6} of \: 54 = 9 \\ 36 + 9 = 45 \\ 54 - 45 = 9[/tex]
therefore, 9 students haven't given their speech
SOLVE FOR f
3/5 · f = 1 5/7
Answers
Answer:
f = 2 6/7
Step-by-step explanation:
[tex]\dfrac 35 \cdot f = 1 \dfrac 57 \\\\\\\implies \dfrac{3f}5 = 1 + \dfrac 57 = \dfrac{12}7\\\\\\\implies 21f = 60\\\\\implies f = \dfrac{60}{21} = \dfrac{20}7 = 2 \dfrac 67[/tex]
Peter and Pam are both avid swimmers. Last week Pete swam twice as many hours s Pam. Together they swam a total of 18 hours. How many hours did each swim?
Answers
Answer:
Peter swam 12 hours, Pam swam 6
Step-by-step explanation:
Pam = x
Peter = y
y = 2x (this is because Peter swam twice as much)
y + x = 18 (this is because they both swam a total of 18 hours)
2x + x = 18 (substitute for y)
3x = 18
x = 6 (pam)
Now, I just need to substitute x = 6 into original equation.
y = 2(6)
y = 12 (peter)
Answer:
Peter- 12 hours
Pam- 6 hours
Step-by-step explanation:
You can set it up an an equation.
P = Peter
18= P + (P/2)
Solve.
36=2P+p
36=3P
P=12
Peter swam 12 hours.
Then 18-12= 6, Pam's number of hours.
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating. 15% tip on a bill of $53.67 The amount of the tip is approximately $
Answers
Answer:
357,8 if finding ???? before tip 53.67
8,050500000000001 if 53.67 and tip 15% 8,050500000000001
Step-by-step explanation:
PLS HELP PLS AND TY
Answers
so the last answer
A plane flies due south at 200 mph for 3 hours. If there is a wind of 25 mph blowing due
west during the entire flight, how far did the plane actually travel?
Answers
Answer:
just divide both of them
Answer:
525
Step-by-step explanation:
200-25=175. 175*3=525
Which of the following equations represents a quadratic relation?
Question 1 options:
2x+y=3
y=2x2+1
y=3x+1
y=2x3
Answers
Answer:
y=2x^2+1
Step-by-step explanation:
a quadratic equation has a x^2 term
what is the answer help
Answers
Answer:
$29.88
Step-by-step explanation:
$12.45 / 5
$2.95 each pound
2.95 * 12
29.88
ill give brainlist again! :( help?
Answers
Answer:
3769.91 cm³
Step-by-step explanation:
For Small Cylinder:
Volume = height × π × r²
Volume = 12 cm × π × 10² cm
Volume = 3769.91 cm³
For Large Cylinder:
Since the larger cylinder is double the size of the small cylinder we have to double the height and radius.
Volume = (height × 2) × π × (r × 2)²
Volume = (12 × 2) × π × (10 × 2)²
Volume = 24 cm × π × 20²
Volume = 30159.29 cm³
Answer:
Below.
Step-by-step explanation:
The volume of the smallest cylinder
= πr^2h
= π*10^2*12
= 1200π cm*3.
Now as the radius and height of the large cylinder are 2 times the radius and height of the small one
Volume of the large cylinder = 2^3 = 8 times the volume of the small one
= 8* 1200π
= 9600π cm^3.
write an equation in standard form of the line that passes through (7, -3) and has a y intercept of 2
Answers
Answer:
Step-by-step explanation:
I would start with the form
y = mx + b
and then convert to standard form. Using the given point and the given y-intercept, find the slope from
-3 = 7m + 2 ⇒ m = -5/7
y = (-5/7)x + 2
7y = - 5x + 14
5x + 7y = 14 (standard form)
The equation in standard form of the line is 5x + 7y = 14
What is an equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Given that, a line is passing through (7, -3) and has a y intercept of 2
The general equation of a line is y = mx + b
Using the given point and the given y-intercept, find the slope from
-3 = 7m + 2
m = -5/7
y = (-5/7)x + 2
7y = - 5x + 14
Converting into standard form;
5x + 7y = 14
Hence, the equation in standard form of the line is 5x + 7y = 14
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