PLEASE HELP ME!!
let g be the function given by g (x) = 3x^4 - 8x^3. At what value of x on the closed interval [ -2,2 ] does g have an absolute maximum
The value of x on the closed interval [ -2,2 ] that g has an absolute maximum is 0
Given the function [tex]g (x) = 3x^4 - 8x^3[/tex]
The function is at a maximum at g'(x) = 0
Differentiating the function given:
[tex]g'(x)= 12x^3-24x^2\\0= 12x^3-24x^2\\ 12x^3-24x^2=0\\12x^2(x-2)=0\\12x^2=0 \ and \ x - 2 = 0\\x = 0 \ and\ 2 \[/tex]
Substitute x = 0 and x = 2 into the function;
g(0) = 3(0)^3 - 8(0)^3
g(0) = 0
Since the range of the function is least at x = 0, hence the value of x on the closed interval [ -2,2 ] that g has an absolute maximum is 0
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Tina likes to go on distance-learning steam she travels 60 K in 12 seconds what is the constant of proportionality
Answer:
5
Step-by-step explanation:
Given that:
60km in 12 seconds
Distance α time
Distance = k * time
K = constant of proportionality
Distance = 60 ; time = 12 seconds
60 = 12k
60/12 = 12k/12
5 = k
Constant of proportionality is 5
What’s the purchase price??
Answer:
$18,000
Step-by-step explanation:
Trust me it's right
Cook´s bakery is making 15 cakes . Each contains 2 cups of flour . How many cups of flour {f} are needed to make all the cakes
Answer:
A
Step-by-step explanation:
i got from USATestprep
Which table has a constant of proportionality between y and 2 of 0.3?
Choose 1 answer:
y
6
2
12
4
30 10
2
y
3 1.8
7 4.2
9 5.4
y
1.2
4
8
2.4
13 3.9
Answer:
The question is unclear. Please provide the table.
05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29
11
Mason throws a coin 3 times.
The outcome of each throw is either Heads or Tails.
List all the possible outcomes of the 3 throws.
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9 sec x + 9 tan x = 9
Answer:
Lowest root is 0 degrees.
Step-by-step explanation:
divide through by 9:
sec x + tan x = 1
sec^2x = 1 + tan^2 x so
√(1 + tan^2x) + tanx = 1
√(1 + tan^2x) = 1 - tanx
Squaring both sides:
1 + tan^2 x = 1 - 2 tanx + tan^2 x
1 = 1 - 2 tan x
2tanx = 0
x = 0 degree.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, 3) and (3, 4). Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 2) and (1, 1). Everything to the right of the line is shaded.
Which system of linear inequalities is represented by the graph?
Answer:
A. y≥[tex]\frac{1}{3\\}[/tex]x+3, 3x-y>2
Step-by-step explanation:
The linear equations above match the lines in terms of slope and y-intercept.
I hope you found this helpful! If you did, I'd really appreciate if you'd mark my work as 'brainliest'. Please don't hesitate to ask any questions!
Have a great day!
The system of linear inequalities of the given points is required.
The system of inequality is
[tex]x-3y\leq -9[/tex]
[tex]3x-y>2[/tex]
Points of the first line
[tex](0,3)[/tex]
[tex](3,4)[/tex]
The equation of the line is
[tex]y-3=\dfrac{4-3}{3-0}(x-0)\\\Rightarrow y-3=\dfrac{1}{3}x\\\Rightarrow y-\dfrac{1}{3}x=3\\\Rightarrow 3y-x=9\\\Rightarrow x-3y=-9[/tex]
Let us take a point above this line [tex](2,4)[/tex]
It is also a solid line.
[tex]2-3\times 4=-10<-9[/tex]
So, the inequality is [tex]x-3y\leq -9[/tex]
Points of the second line
[tex](0,-2)[/tex]
[tex](1,1)[/tex]
The equation of the second line is
[tex]y+2=\dfrac{1+2}{1-0}(x-0)\\\Rightarrow y+2=3x\\\Rightarrow 3x-y=2[/tex]
Let us take a point towards the right of the line [tex](2,2)[/tex]
[tex]3\times 2-2=4>2[/tex]
Since, the line is dashed the second inequality will be [tex]3x-y>2[/tex]
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Will mark brainliest! help asap! Don’t scam
how could you write 4/8 as a percent without dividing? I am really stuck I need help!!! thank you
Answer:
it's 50% because the 4 is just half of 8 (plus if you did divide you get 0.5 and 0.5 as a percent is 50%)
Hope this helped!
Step-by-step explanation:
If f(x) = 3x - 2 what is f-1(x)
Answer:
2x-2
Step-by-step explanation:
please lmk if im wrong or not
Mark's dad is three times older than Mark. Mark's sister is 2 years younger than Mark. (3m) The sum of their ages is 48. How old are Mark, his sister, and his dad?
Answer:
Age of Mark [tex]=10[/tex] years
Age of Mark's dad [tex]=30[/tex] years
Age of Mark's sister [tex]=8[/tex] years
Step-by-step explanation:
Let age of Mark be [tex]x[/tex] years.
Mark's dad is three times older than Mark
Age of her Mark's dad [tex]=3x[/tex]
Mark's sister is 2 years younger than Mark
Age of Mark's sister [tex]=(x-2)[/tex] years
The sum of their ages is 48.
[tex]x+3x+x-2=48\\5x-2=48\\5x=50\\x=10[/tex]
Age of Mark [tex]=x=10[/tex] years
Age of Mark's dad [tex]=3x=3(10)=30[/tex] years
Age of Mark's sister [tex]=x-2=10-2=8[/tex] years
use substitution to solve the system of equations. Write the solution as an ordered pair.
x + 2y = 14
y = 3x - 14
Answer:
Step-by-step explanation:
x + 2(3x - 14) = 14
x + 6x - 28 = 14
7x - 28 = 14
7x = 42
x = 6
y = 3(6) - 14
y = 18 - 14
y = 4
(6,4)
4) The path of a satellite orbiting the earth causes it to pass directly over two
tracking stations A and B, which are 60 km apart. When the satellite is on one side of
the two stations, the angles of elevation at A and B are measured to be 86.4 ° and
85 °, respectively.
Find how far the satellite is from station A and how high the satellite is above the
ground. Round your answers to 2 decimal places.
Answers:
Satellite is approximately 2446.43 km from station A.Satellite is approximately 2441.61 km above the ground.=========================================================
Explanation:
I'm assuming tracking stations A and B are at the same elevation and are on flat ground. In reality, this is likely not the case; however, for the sake of simplicity, we'll assume this is the case.
The diagram is shown below. Points A and B describe the two stations, while point C is the satellite's location. Point D is on the ground directly below the satellite. We have these lengths
AB = 60 kmAD = xCD = hFocusing on triangle ACD, we can apply the tangent rule to isolate h.
tan(angle) = opposite/adjacent
tan(A) = CD/AD
tan(86.4) = h/x
x*tan(86.4) = h
h = x*tan(86.4)
We'll use this later in the substitution below.
--------------------
Now move onto triangle BCD. For the reference angle B = 85, we can use the tangent rule to say
tan(angle) = opposite/adjacent
tan(B) = CD/DB
tan(B) = CD/(DA+AB)
tan(85) = h/(x+60)
tan(85)*(x+60) = h
tan(85)*(x+60) = x*tan(86.4) ............. apply substitution; isolate x
x*tan(85)+60*tan(85) = x*tan(86.4)
60*tan(85) = x*tan(86.4)-x*tan(85)
60*tan(85) = x*(tan(86.4)-tan(85))
x*(tan(86.4)-tan(85)) = 60*tan(85)
x = 60*tan(85)/(tan(86.4)-tan(85))
x = 153.612786190499
--------------------
We'll use this approximate x value to find h
h = x*tan(86.4)
h = 153.612786190499*tan(86.4)
h = 2441.60531869599
h = 2441.61 km is how high the satellite is above the ground.
Return to triangle ACD. We'll use the cosine rule to determine the length of the hypotenuse AC
cos(angle) = adjacent/hypotenuse
cos(A) = AD/AC
cos(86.4) = x/AC
cos(86.4) = 153.612786190499/AC
AC*cos(86.4) = 153.612786190499
AC = 153.612786190499/cos(86.4)
AC = 2446.43279498247
AC = 2446.43 km is the distance from the satellite to station A.
Will give brainliest if correct!
Determine the slope of the following
Answer:
m = 2
Step-by-step explanation:
Plug 2 coordinates into the slope formula
(y2-y1)/(x2-x1)
For this I will choose the first and third coordinates:
15-7/5-1 = 2
The slope is 2
10. *
10. If Talia's old bedroom measured 10
feet by 10 feet, how much larger or
smaller will her new bedroom be?
Answer:
A
Step-by-step explanation:
3x + 160y<=1120 written in slope intercept form
PLEASE HELP IM GIVING ALL MY POINTS
when ms mason bought a new computer she borrowed 1200 at the rate of 18% for 9 months how much interest did she pay
Answer:
$216 or $162 (see below)
Step-by-step explanation:
If it's 18% for 9 months (and not per year)
then
1200x0.18=$216
If it's 18% per year then
1200x0.18x0.75=$162
help, please!!!its urgent
Answer:
Step-by-step explanation:
its f because its pretty easy
If f (x) = 5x + 4 then for what value of x will f(x) equal -11?
Answer:
-3
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
This should be the answer. Brainliest would be appreciated.
Circle T has diameters RP and QS. The measure of ∠RTQ is 12° less than the measure of ∠RTS.
Circle T is shown. Line segments T S, T R, T Q, and T P are radii. Lines are drawn to connect points S and R and points P and Q to form secants. Angles R T S and Q T P are congruent.
What is the measure of Arc Q P?
78°
84°
88°
96°
Answer:
96 degrees
Step-by-step explanation:
STR + STQ=180 degree
Substitute
x+x-12=180
2x-12=180
2x=192
x=96
Answer: D. 96 is the cooorrrreccccct answer
Step-by-step explanation:
edge 2021
what is 9+p when p=20?
Answer:
your answer should be. 9+20=29
what is the answer to this question
Answer:
the height is 4
Step-by-step explanation:
it is a right triangle and also a perfect 3-4-5 right triangle
[tex] {3}^{2} + {h}^{2} \: equals \: {5}^{2} [/tex]
[tex]9 + {h}^{2} \: eqauls \: 25[/tex]
subtract 9 from 25
[tex] {h}^{2} \: equals \: 16[/tex]
then you square root 16
[tex] \sqrt{16} [/tex]
and now you height is 4
Convert:
a) 3.65kg to g b) 568cm to m
c) 82L to cL
d) 0.825 m to dam e) 67.89 hg to dg f) 69g69mgtomg
Only need the answer and pls give fast pls
Extra-large pizzas are on sale at a 15% discount. The original cost of an extra-large pizza is $28.00. How much is the cost of the pizza after the discount?
a. $23.80
b. $4.20
c. $26.60
d. $32.20
What is the perimeter of this triangle?
PLEASE HELP
Answer:
Step-by-step explanation:
perimeter=16+12+20
= 48
Answer:
48
Step-by-step explanation:
Perimeter is all of the sides added together, so add each of the outside values together. The inside value doesn't matter in this problem.
16+12+20=48
PLSSSSS
• Demand equation: 0.7x + y = 340
Supply equation: -1.5x + y = 320
1. Solve the system algebraically to determine the balance point between
supply and demand.
Answer:
Step-by-step explanation:
Subtract equation 2 from equation 1
.7x+y-(-1.5x+y)=340-320
.7x+y+1.5x-y=20
2.2x=20
x=100/11, then use this in either original equation to find y.
.7(100/11)+y=340
y=3670/11, so the balance point is
(100/11, 3670/11)
A CD is circular and has a diameter of 6 centimeters. Which is closest to the area of the CD? Use 3.14 for π
Answer:
28.26 cm²
Step-by-step explanation:
Area of a circle = πr²
r = diameter/2
r = 6/2 = 3
A = (3.14)(3)²
A = 28.26 cm²
write 8,000,000 in scientific notation ?
Answer:
A: 8 x 10^6
Step-by-step explanation:
Please help!
The box plots below show attendance at a local movie theater and high school basketball games.
Which of the following best describes how to measure the spread of the data?
Answer:
The standard deviation is the best measurement of spread for games and movies.