Consider the graph of f(x) = 5x 6 – 5x 5 – x 4.
On a coordinate plane, a graph decreases through (negative 0.6, 0.4), has an inflection point (0, 0), decreases through (0.5, negative 0.2) to (1, negative 1), and then increases up through (1.2, 0).
Based on the graph, what is the solution to
5x6 – x4 > 5x 5?
One-half minus StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot less-than x less-than one-half + StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot
One-half minus StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot less-than-or-equal-to x less-than-or-equal-to one-half + StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot
x less-than one-half minus StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot and x greater-than one-half + StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot
x less-than-or-equal-to one-half minus StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot and x greater-than-or-equal-to one-half + StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot
Answers
Answer:
A
Step-by-step explanation:
The other person said B, but it's not because it can't be equal to either. X is between .17 and 1.17, but cannot equal. I got this by putting it into des.mos and getting the graphs
Inequalities are used to represent unequal expressions
The solution to [tex]5x^6 - x^4 > 5x^5[/tex] is [tex]\frac 12 - \frac 3{10} \sqrt 5< x <\frac 12 + \frac 3{10} \sqrt 5[/tex]
The equation and InequalityThe equation of the function is given as:
[tex]f(x) = 5x^6 - 5x^5 - x^4[/tex]
The inequality is then given as:
[tex]5x^6 - x^4 > 5x^5[/tex]
GraphSee attachment for the graph of the inequality
From the attached graph, we can see that the inequality crosses the x-axis at:
[tex]x = -0.17\ and\ x = 1.17[/tex]
These values can be represented as:
[tex]\frac 12 - \frac 3{10} \sqrt 5< x <\frac 12 + \frac 3{10} \sqrt 5[/tex]
Hence, the solution to [tex]5x^6 - x^4 > 5x^5[/tex] is [tex]\frac 12 - \frac 3{10} \sqrt 5< x <\frac 12 + \frac 3{10} \sqrt 5[/tex]
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Related Questions
Using the table of Motor Vehicle Deaths given below, find the Motor Vehicle Deaths per capita for Ohio
as a decimal correctly rounded to 8 places
Express the value typed in 'part a' in scientific notation. (Do not round.)
Type your answer as though you were typing it into your calculator--either with "E" or "x10^" notation-- no spaces in your answer!
State MV Deaths Population
Indiana 693 6 million
Illinois 911 12.4 million
Ohio 1021 11.35 million
Michigan 871 9.9 million
Alaska 64 0.63 million
Answers
In scientific notation, the Motor Vehicle Deaths per capita for Ohio is 8.996 x 10⁻⁵.
What is scientific notation?Scientific notation, or the power-of-10 notation, is a mathematical system for expressing huge and small numbers so that they look simple.
A scientific notation of the number 'n' is expressed as a∗10^b. where 'a' is an integer such that 1 ≤ |a| <10. B is an integer that takes positive or negative values.
Data and Calculations:State MV Deaths Population
Indiana 693 6 million
Illinois 911 12.4 million
Ohio 1021 11.35 million
Michigan 871 9.9 million
Alaska 64 0.63 million
Motor Vehicle Deathers per capita for Ohio = 1,021/11,350,000
= 0.00008995594
= 0.00008996
= 8.996 x 10⁻⁵
Thus, the scientific notation of the Motor Vehicle Deaths per capita for Ohio is 8.996 x 10⁻⁵.
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What is -2/3 divided 4/5
Answers
Answer:
-5/6
Step-by-step explanation:
-2/3 / 4/5 =
-2/3 * 5/4 =
-10/12 =
-5/6
Answer:
-5/6
Step-by-step explanation:
just divide it you will get the answer
which of the following inequalities matches the graph?
Answers
Since the area shaded is left of x = -3, x has to be less than -3.
please solve for j: j+17=8
Answers
Answer:
-9
Step-by-step explanation:
8-17=-9
Answer: -9
Check: -9 + 17 = 8 (Check)
I hope this helps, and Happy Holidays! :)
Dave and Frank are graduating and are no longer going to be roommates, but they both want to keep the dog they adopted. Using the Method of Sealed Bids, Dave bids $364 and Frank bids $568 for the dog. Since Frank's bid is higher, he gets the dog. How much will he have to pay Dave in order to keep the division fair?
Answers
The amount that Frank will pay Dave in order to keep the division fair will be $233.
How to illustrate the information?From the information, they both want to keep the dog they adopted and Dave bids $364 and Frank bids $568 for the dog.
It should be noted that the division for fair value will be:
= Number of item / Number of parties
Dave = 364 / 2 = 182
Frank = 568 / 2 = 284
Therefore, the amount that Frank will pay Dave in order to keep the division fair will be:
= (182 + 284) / 2
= 466 / 2
= $233
Therefore, the amount that Frank will pay Dave in order to keep the division fair will be $233.
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match each equation with a value of x that satisfies it
options are:
5 , 9 , 18, 2, 1, -3
(x-2)^1/4=2 --->___
√x^2+7=4. --->___
^3√1-x=-1. --->___
Answers
Answer:
(x-2)^1/4=2 ---> 18
√x^2+7=4. ---> -3
^3√1-x=-1. ---> 2
Step-by-step explanation:
just did it on plato
The numerical expression [tex]\rm (x - 2)^{1/4} = 1[/tex], √x² + 7 = 4, and ∛(1 - x) = -1 are correctly matched with 18, -3, and 2.
What is simplification?Simplification is to make something easier to do or understand and to make something less complicated.
The expressions are given below.
[tex]\rm (x - 2)^{1/4} = 1[/tex], √x² + 7 = 4, and ∛(1 - x) = -1
Then By simplification, we have
x - 2 = 2⁴
x = 16 + 2
x = 18
√x² + 7 = 4
x + 7 = 4
x = -3
∛(1 - x) = -1
1 - x = -1³
x = 2
The numerical expression [tex]\rm (x - 2)^{1/4} = 1[/tex], √x² + 7 = 4, and ∛(1 - x) = -1 are correctly matched with 18, -3, and 2.
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write a quadratic function in standard form whose graph passes through (-5 0) (0,-8) and (4,0).
Answers
The required quadratic function in the standard form is f(x) = -1.25 x² + 5x.
What is a quadratic equation ?
A quadratic equation is an equation which contains a single variable of degree 2 and its general form is ax² + bx + c = 0.
The x - intercepts of the quadratic equation are (-5, 0) and (0 , -8). That meant (x + 5) and (x -0) are two factors of quadratic equation.
f(x) = a (x + 5) (x - 0)
f(x) = ax² + 5x
The graph of quadratic equation passes through (4 , 0). So we need to substitute x = 4 , f(x) = 0 in equation 1.
0 = a × 4² + (5 × 4)
0 = a × 16 +20
a = -20/16
We know that quadratic equation is in form ax² + bx + c = 0.
f(x) = [tex]\frac{-20}{16}[/tex] × x² + 5x
f(x) = [tex]\frac{-5}{4}[/tex]x² + 5x
f(x) = -1.25 x² + 5x
Therefore , the required quadratic function in the standard form is f(x) = -1.25 x² + 5x.
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Don't get this can someone help
Answers
To combine two fractions into one fraction if they are being added / subtracted from each other, make it so they share the same denominator. To do this, one way is to make [tex]\frac{1}{3}[/tex] have denominator [tex]3t[/tex], so multiply the top and bottom of the fraction by [tex]t[/tex]:
[tex]\frac{t+2}{3t} - \frac{t}{3t}[/tex]
and now you can just subtract the numerator.
[tex]= \frac{t+2 - t}{3t} = \frac{2}{3t}[/tex]
CAN YOU HELP ME WOTH GEOMETRY! It's due TONIGHT!
Answers
Answer:
look down below
Step-by-step explanation:
We know that AB = DC, and BC = AD, ∠B = ∠D because they are given
So, ΔABC ≅ ΔCDA because of SAS congruency
- Trace has 453 trading cards,
He puts an equal
number of cards into
А
each of 3 books,
Part A
Write an equation to show the
cards Trace put in each book
Answers
Jessica is hiring a plumber to remodel her bathroom
Answers
Answer: 1st choice and last choice
Step-by-step explanation:
just did all the math. If not right sorry plz mark brainlest have a great day!
help me pls big points
Answers
Answer:
the answer should be 18.5
Triangles XYZ and EFG are given and ΔXYZ≅ΔEFG by SAS. If YZ=2n−5, YX=2n−1, EG=n+8, and FG=n+5, then which of the following statements is true.
Answers
Answer:
ZY = 15
Step-by-step explanation:
ZY is congruent to GF, so you set the equation up as
2n-5 = n+5
+5 +5
-----------------
2n = n+10
-n -n
------------------
n = 10
After you get n, you plug it in to 2n-5 (ZY)
2(10)-5
20-5
15
ZY=15
NEED HELP!! WILL MARK BRAINLIEST
Answers
Answer:
C
Step-by-step explanation:
A function will not have two points that can be crossed through with a vertical line.
Need help with number 11 ASAP!!!!
Answers
Answer:
78%, no he didn't score high enough
Step-by-step explanation:
Can someone tell me what d is
Answers
Answer:
57/ 6 or if you want to simplify it it could be 19/2
Triangle ABC is isosceles.
Triangle A B C is shown. The lengths of sides A C and A B are congruent.
What is true about the measure of angle B?
It is twice the measure of angle A.
It is twice the measure of angle C.
It is equal to the measure of angle A.
It is equal to the measure of angle C.
Answers
Answer:
it is equal to the measure of angle C
Answer: D. it is equal to the measure of angle C.
Step-by-step explanation:
The parking fee at the amusement park is $15. Each
ride requires a ticket that costs $4. Grams spent $71
for her grandchildren. How many ride tickets did
Grams purchase?
Answers
Answer:
Step-by-step explanation:
Total money spent = 71
Parking fee = 15
71 - 15 = 56
Each ride costs = 4
Total rides = 56 ÷ 4 = 14 rides
Math question....................
Answers
[tex]alternative \: interior \: angles[/tex]
<4 and <6
[tex]alternative \: exterior \: angles[/tex]
<1 and <7
[tex]corresponding \: angles[/tex]
<1 and <5
The word particle can be used to describe a speck of dust, molecule, an atom or an electron. How can we avoid confusion in using the word particle?
Answers
Answer:
To avoid confusion in using the word "particle," one must state that a particle is an identifiable part of dust, a molecule, an atom, or an electron. This means that particles form these elements.
Step-by-step explanation:
For example, atoms are made up of three particles: protons, neutrons and electrons. These particles are each composed of even smaller particles known as quarks. Since quarks cannot be broken down further, they are the smallest particles known to mankind.
I need help finding an eqaution for this.
Answers
Answer:
x>7
Step-by-step explanation:
Answer
7 is less than x
A local hospital recently conducted a blood drive where they collected a total of 56 pints of blood from donors. The hospital was hoping to collect a total of 8 gallons of blood from the drive.
Answers
Answer:
Step-by-step explanation:
Solve for P=2l+2w. Solve for w
Answers
Answer:
[tex]w = \frac P2 - l[/tex]
Step-by-step explanation:
Solve for w by isolating the variable.
Solve for w[tex]P = 2l + 2w[/tex]Factor 2 on the right-hand side
[tex]P = 2(l + w)[/tex]Divide both sides by 2
[tex]\frac P2 = l + w[/tex]Subtract L from both sides
[tex]\frac P2 - l = w[/tex]The solution for w is [tex]\frac P2 - l[/tex]
A toy store purchases Jedi lightsabers from the manufacturer for $18. The manager decides to mark up the price by of the original. What is the new markup price?
Answers
Answer:
hehe
Step-by-step explanation:
Which situation best fits the following inequality? 40 ≥ ≥ 6.5x - 14
Answers
40+40+40
6.80÷2
and if you do this
you will end up
getting your answers
The product of −x2+5x−1 and a monomial is 4x2−20x+4.
What is the monomial?
Answers
Answer: M(x) = -4*x^0 = -4
Step-by-step explanation:
A monomial is a polynomial with only a term.
We can write a random monomial as:
M(x) = a*x^n
Where n is a natural number.
Then we know that:
(-x^2 + 5*x - 1)*a*x^n = 4*x^2 - 20*x + 4
Solving the left side, we get:
-a*x^(2 + n) + a*5*x^(1 + n) - a*1*x^n = 4*x^2 - 20*x + 4
First, we can see that the powers of x do not change after multiplying by the monomial, this means that we must have n = 0. Then we have:
-a*x^2 + a*5*x - a = 4*x^2 - 20*x + 4
The terms with equal powers of x must be equal between them, this means that:
-a*x^2 = 4*x^2
a*5*x = -20*x
-a = 4
From the last equation, (we also could get the same by solving the first or second) we get that a = -4
Then the monomial will be:
M(x) = -4*x^0 = -4
9.
NOS
Maggie had $6856 in the bank.
She deposited another $1258 into her bank account.
How much more money must she deposit into her bank account
if she wants to have $9200 in the bank?
Answers
11. Jim travelled at a speed of 18km/h for 2 hours. What was the distance covered?
Answers
Answer:
d = 36 km
Step-by-step explanation:
Speed of Jim, v = 18 km/h
Time, t = 2 hours
We need to find the distance covered. We know that the speed of an object is equal to the distance covered by it divided by total time taken.
[tex]v=\dfrac{d}{t}\\\\d=v\times t\\\\d=18\ km/h\times 2\ h\\\\=36\ km[/tex]
So, he will cover 36 km.
Type the correct answer in each box.
Elena has 32 hair ties. Melanie has 8 hair ties.
The ratio of Elena’s hair ties to Melanie’s hair ties is
: 1. If, Melanie gets 4 more hair ties, the new ratio of Elena’s hair ties to Melanie’s hair ties is 8 :
.
Answers
Answer step by step explanation:
The ratio of Elena's hair ties to Melanie At first is 32/8 divide by eight is 4:1
The new hair ties after Melanie gets 4 is 12 ,so the new ratio of Elena's hair ties to Melanie that is 32/12 divided by four will be 8:3
If x2 = 50, what is the value of x
Matemáticas
Answers
Answer:
x=25
Step-by-step explanation: