If the interval (a, oo) describes all values of x for which the graph of f(x) =
4
x2 - 6x +9
is decreasing, what is the value of
a?
Answers
Answer:
Answer:
a = - 1.1
Step-by-step explanation:
Condition for a single variable function f(x) to be decreasing is f'(x) < 0.
So, in our case, .
Then, differentiating with respect to x on both sides we get,
⇒
⇒
{Dividing both sides with - 1 and hence the inequality sign changes}
⇒
⇒ 8 > - 6x³ {Multiplying both sides with x³}
⇒ 6x³ > - 8 {Interchanging the sides}
⇒
⇒ x > - 1.1
Therefore, a = - 1.1. (Answer)
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
EDG2021
Related Questions
14. Find the length of the unknown leg of the right triangle. 12.75 37.25 ?
Answers
Answer:
35
Step-by-step explanation:
We can assume the longer side is the hypotenuse because it is significantly longer than the other side.
From there, we can do Pythagoreans Theorem.
a^2+b^2=c^2
where can is the hypotenuse.
(12.75)^2+ b^2 = (37.25)^3
162.5625 + b^2 = 1,387.5625
-162.5625 -162.5625
b^2= 1,225
square root both sides.
b= 35
Solve this triangle
B=?
Answers
Answer:
i hope 67° is the answer .
What is the answer and how do you get it?
Answers
Answer:
it would D, when you simplify both expressions, they get the same result which is 1024y^6
The diameter of a circle is 19 ft. Find the circumference to the nearest tenth.
Answers
Answer:
Half of 19 = 9.5(new radius)
2 x 3.4 x 9.5 = 64.6 ft is your answer.
Formula of circumference:
2 x 3.14(pi or 22/7 depending on what they tell you to use for pi) x radius(half of diameter or given radius)
Answer:
C = 59.7
Step-by-step explanation:
The formula for the circumference of a circle is C = 2πr
R = radius
The radius is the half of a diameter, so 19/2 is 9.5.
C = 2π(9.5)
C = 59.69026041
Tatum walks her dog 2/3 of a mile every day after school how many miles does she walk her dog in 5 days
Answers
Answer:
i think it is 3 miles but dunno
Step-by-step explanation:
-33 points!-
A card is drawn one at a time from a
well-shuffled deck of 52 cards. In 11
repetitions of this experiment, 1 king
is drawn. If E is the event in which a
king is drawn in the 11 trials, find the
experimental probability P(E).
P(E) = 1/?
Answers
====================================================
Explanation:
The experimental probability is a fraction of the form A/B
A = number of times a king shows up
B = number of trials conducted
In this case, A = 1 and B = 11.
-------------
Side notes:
1/11 = 0.0909 = 9.09% approximately
Contrast this with the theoretical probability of drawing a king, which is 4/52 = 0.0769 = 7.69% approximately
1) Bruce L. Sprouts had to take a loan worth $5,000.
The loan has a 3.5% interest rate.
He has to pay the loan off in 6 years.
A) How much will he have to pay for the interest?
B) How much will he have to pay total? Please answer fast show your work you will be marked as brain
Answers
Answer:
A) $1,050
B) $6,050
Step-by-step explanation:
We solve using the Simple Interest formula
Simple Interest (I) = Principal × Rate × Time
From that above question, we have the parameters
Principal = $5000
Rate = 3.5 % = 0.035
Time = 6 years
A) How much will he have to pay for the interest?
Hence,
Interest = $5,000 × 0.035 × 6
= $1,050
Therefore, the amount of interest he will have to pay is $1,050
B) How much will he have to pay total?
The amount he will have to pay in contact =
Principal + Interest paid on loan
= $5,000 + $1,050
= $6,050
...............................................
Answers
Step by step solution: See photo
What answer plz I need help
Answers
Answer:
is equal to what
Step-by-step explanation:
I need the rest of the equation
9 Sam earns $54 275 in a year.
He pays no income tax on the first $8200.
He pays 18% income tax on everything he earns over $8200.
a Work out how much income tax he pays.
b Work out what percentage of his income he pays in tax.
c If the income tax rate is increased to 21%, how much more tax will Sam pay?
Answers
Answer:
See all three answers below
Step-by-step explanation:
Given data
Amount Earned= $54275
Income Tax= 18%
a Work out how much income tax he pays.
Amount of income tax
=18/100*54275
=0.18*54275
=$9769.5
b Work out what percentage of his income he pays in tax.
=9769.5/54275*100
=0.18*100
=18%
c. If the income tax rate is increased to 21%, how much more tax will Sam pay?
=21/100*54275
=0.21*54275
=$11397.75
7. Complete the following equation using <,>, or =
100% ___1
O A. >
O B. =
O C. >
Answers
Answer:
B. =
Step-by-step explanation:
because 100% of something is the same as 100/100
647. One-sixth of a certain number is four more
than one-twelfth the number. Find the number. a. 6 b. 18 C. 36 d. 48
d. 40.
Answers
Step-by-step explanation:
let number be x
1/6x - 1/12x= 4
1/12x=4
cross multiply
x= 12 x 4
x= 48
Wait what about this one
Answers
Answer:
I believe it is 7/20
Step-by-step explanation:
I need help on this equation
Answers
Angle abc is 90 and half of that is 45 degrees
Help Me And If ITs Right Ill Give Brainliest to you
Answers
Answer: I thınk so aswer ıs B
Step-by-step explanation:
PLEASE ASAP ILL GIVE BRAINLIEST.
Answers
Answer:
the bowling ball!
b-brainliest..........?????
A+B=25.6
A+C=41.6
B+D=25.6
C-D=19.2
Solve for A, B, C, and D.
Answers
Answer:
Step-by-step explanation:
Let's get some organization going here and number the equations:
1. A+B=25.6
2. A+C=41.6
3. B+D=25.6 and
4. C-D=19.2
First I am going to solve equation 1 to get new equation 5:
5. B=25.6-A (hold that for a sec) and then solve equation 2 to get new equation 6:
6. C=41.6-A
Now sub equation 5 into equation 3:
25.6-A+D=25.6 and
A-D=0 so
A=D. That's good. Now we move on:
Sub equation 6 into equation 4 to get
41.6-A-D=19.2. But since A = D:
41.6-D-D=19.2 so
41.6-2D=19.2 and
-2D=-22.4 so
D = 11.2 and so does A.
Now we will fill in to get B and C.
In equation 2, with A = 11.2:
11.2+C=41.6 so
C = 30.4.
For B, use the fact that D = 11.2 in equation 3:
B+11.2=25.6 so
B = 14.4
All in all:
A = 11.2
B = 14.4
C = 30.4
D = 11.2
Yikes!!
what is AC? please help
Answers
Add the two angles
what is the range for 25,25,21,28,37,26
Answers
Answer:
16 is the range
Step-by-step explanation:
First, arrange the numbers from least to greatest.
21, 25, 25, 26, 28, 37
Then, subtract 21 (smallest number) from the 37 (biggest number).
37 - 21 = 16
So, the range is 16
Have a wonderful day!
The perimeter of a square tabletop is 20 feet. What size tablecloth is needed to make sure to cover all of the table?A. 16 ft2B. 25 ft2C. 80 ft2D. 400 ft2
Answers
Which table represents a nonlinear function?
Answers
Answer:C
Step-by-step explanation: When a table represents a nonlinear function, the rate of change is not constant. A wouldn't be the answer because the rate of change is always +10 (you would add 10 to get from -9 to 1; you would add 10 to get from 1 to 10) . It wouldn't be B because the rate of change is always -2, and the rate of change for D is always +3. For C, however, the rate of change is not constant all the way through (to get from 0 to 6, you would add 6, but to get from 6 to 16 you add 10).
The product of -3 and -7 is positive.
True False
Answers
Answer:
True ☑
Step-by-step explanation:
[tex] - 3 \times - 7 \\ = {}^{ + } 21[/tex]
Determine whether the triangles are similar. If they are, write a similarity statement. Explain your reasoning.
Answers
Answer:
yes
Step-by-step explanation:
angle XZY = GHF (given)
zxy =48° And ghf =48°
same no of angle are equql
What is the range of the function f(x)=2x+4f(x)=2x+4 when the domain is {-2, 0, 3}?
A. {0, 4, 10}
B. {4.25, 5, 12}
C. {4.25, 4, 12}
D. All real numbers
Answers
Which graph represents the solution of y ≤ x2 – 1 and x > y2 – 3?
Answers
Step-by-step explanation:
The given inequalities are :
[tex]y\le x^{2}-1\ .....(1)[/tex]
And
[tex]x>y^{2}-3\ .....(2)[/tex]
We need to draw the graphs for inequalities (1) and (2).
Put the value of y from (1) in (2).
[tex]x>(x^2-1)^{2}-3[/tex]
The attached figure shows the required graph.
The unshaded portion of the graph represent the solution.
y ≤ x2 – 1 and x > y2 – 3
What is inequality?
Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.
[tex]y\leq x^2-1[/tex]
and [tex]x < y^2-3[/tex]
putting y in second equation
[tex]x < \left(\left(x^{2}-1\right)^{2}-3\right)[/tex]
now plotting the graph of the equation attached below
Thus The required graph represent the solution is unshaded portion of the graph
Learn more about inequality here:
brainly.com/question/14098842
#SPJ2
At cracker barrel there are 15 side items to choose from. You order a variety plate that consists of 5
sides. In how many different ways can you choose your plate?
Answers
Answer:
3003
Step-by-step explanation:
It is going to be 15C5
If mZMPL = 630, find each measure.
J
K
Р
N
L
M
Answers
Answer:
m∠KPL = 90°
m∠NPM = 27°
m∠MPL = 63°
m∠JPK = 27°
m∠NPJ = 153°
Step-by-step explanation:
There's a 90° angle in m∠NPL so we can already identify the measure of m∠NPM which is 27° because 63° + 27° = 90° angle.
m∠MPL is GIVEN as 63° in the question!!!
and I'm pretty sure m∠JPK = m∠NPM which is 27°
m∠KPL is 90°. everytime you see a box around that angle, it means the angle measures 90°
Finally for m∠NPJ we add up all of the values that we already know minus the total measure which is 360°.
Explanation: total measure: 360°. 90° + 27° + 63° + 27° = 207.
360° - 207° = 153°
Nadine has a plastic container in the shape of a prism that is filled with beads. The container has a length of 6 inches, a width of 8 inches, and a height of
5 inches
The container has a crack, so she needs to move all of the beads to new containers that are also rectangular prisms. Determine which sets of containers she could use for
the beads.
Select Yes or No for each set of containers.
Answers
Answer:
BTW C= containers and AC = area of all the containers all together.
Step-by-step explanation:
So first off you calculate the area of the container that had a crack so its
Width X Length X height | 6 x 8 x 5 = 240
So then you look at the possible answers and then calculate the area of those plastic containers. So then you start with the first one and it would be like this
First possible answer: 3 and 1/3 x 6 x 5 = 100 x 3c = 300ac
Second possible answer: 2 and 1/4 x 4 and 3/4 x 6 = 64.125 x 4c = 256.5ac
Third possible answer: 3.5 x 6.5 x 6 = 136.5 x 2c = 273ac
Fourth possible answer: 3 and 1/2 x 3 and 1/4 x 5 = 56.875 x 5c = 284.375ac
Hopefully this will help you find your answer!! I tried my best!! Please give brainly!!
What is the surface area of the cone? Round to the nearest hundredth.
Answers
Step-by-step explanation:
A≈417.63 is your answer
A school eacher took some student to the amusement park. 1/2 of them has 3 rides on the merry-go-round. 3/5 of the remainder had two rides and the rest of the children had one ride. If 8 students had one ride. How many students did she take to the amusement park?
Answers
Answer:
40 students
Step-by-step explanation:
Total students in the amusement park = x
Students who had 3 rides = 1/2x
Remainder = x - 1/2x
= 1/2x
Students who had two rides = 3/5 of 1/2x
= 3/5 * 1/2x
= 3/10x
Students who had one ride = 8 students
x = 1/2x + 3/10x + 8
x = (5x+3x) / 10 + 8
x = 8/10x + 8
x = 4/5x + 8
x - 4/5x = 8
(5x-4x) / 5 = 8
1/5x = 8
x = 8 ÷ 1/5
x = 8 × 5/1
x = 40 students
Total students in the amusement park = x = 40 students