Answer:
f(x) = x3 - 3x + 1
f'(x) = 3x2 - 3 = 3(x2 - 1) = 3(x+1)(x-1)
Find the critical numbers: set f'(x) = 0
3(x+1)(x-1) = 0 x = 1, -1
Check the sign of f'(x) on either side of each critical number. If f'(x) is positive on an interval, then f is increasing on the interval. If f'(x) is negative on an interval, then f is decreasing on the interval.
+ l - l + sign f'(x)
-------------------------------------
-1 1
f is increasing on (-∞, -1) υ (1, ∞)
f is decreasing on (-1, 1)
How many times greater is the value of the 4 In 42,672 than the value of the 4 in 37,426
Step-by-step explanation:
it 100 more than the 4 in 37,426
what is the value of the function y = 3/4x - 5 for x = -4
Answer:
y= 5.33333
Step-by-step explanation:
i think this is right DON'T MARK BRAILIST
A computer is normally $550 but is discounted to $385. What percent of the original price does Mark pay?
Can someone help me?
Answer:
70%
Step-by-step explanation:
385/550 giving you a decimal of 0.7 which is 70%
25x^3+5x^2+30x+6=0 solve
Answer:
x = -1/5, x = i sqrt(30)/5, x = -i sqrt(30)/5
Step-by-step explanation:
25x^3 + 5x^2 + 30x + 6 = 0
5x^2(5x + 1) + 6(5x + 1) = 0
(5x + 1)(5x^2 + 6) = 0
5x + 1 = 0
5x = -1
x = -1/5
5x^2 + 6 = 0
5x^2 = -6
x^2 = -6/5
x = +/- sqrt(-6/5)
x = +/- i * sqrt(30)/5
x = i sqrt(30)/5 or x = -i sqrt(30)/5
What is the domain of f(x) = 5^x - 7?
A.) {x| x > -7}
B.) {x| x < -7}
C.) {x| x > 0}
D.) {x| x is a real number}
Answer:
D
Step-by-step explanation:
I think the intervals can pretty much be infinite.
Simplify the expression: 2(2 + g) =
Answer:
4 + 2g
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
2(2 + g)
Step 2: Expand
Distribute 2: 2(2) + 2(g)Multiply: 4 + 2gPlease help its due today
Jody wants to build a rectangular garden that has dimensions 16 feet by 24 feet. Fence post must be placed 4 feet apart.
Create a diagram that locates each post.
How many post will Jody need?
Answer:
8 posts total on both the 16 ft. sides(there are 4 sides to a rectangle), 12 posts on both the 24 ft. sides(there are 4 sides to a rectangle)
Step-by-step explanation:
they are spaced 4 ft apart. Jody will need 20 total posts.
If 5 students play the flute and 7 students play the clarinet, what is the ratio of clarinet players to fluteplayers?
Answer:
5:7
hope it helps........
The rectangle shown has a perimeter of 84 cm and the given area. Its length is 6 more than 5 times its width. Write and solve a system of equations to find the dimensions of the rectangle.
Can anyone help me with this
Answer:
D. 8x³ + 4x⁷ - 3x³ + 3x² - 2x + 9
Step-by-step explanation:
(8x⁸ - 9x³ + 3x² + 9) + (4x⁷ + 6x³ - 2x)
Apply distributive property to eliminate parentheses
8x⁸ - 9x³ + 3x² + 9 + 4x⁷ + 6x³ - 2x
Collect like terms
8x⁸ + 4x⁷ - 9x³ + 6x³ + 3x² - 2x + 9
8x³ + 4x⁷ - 3x³ + 3x² - 2x + 9
Tony bought 8 books about plants and 3
books about fish. He also bought 7
science magazines. Each book cost $6
and each magazine cost $5. How much
did Tony spend in all?
Answer:
Tony spent $101.
Step-by-step explanation:
11*6 = 66
7*5 = 35
66+35 = 101
Probability Questions Help is needed plzzzzzzzzzz
Answer: 0.0049 hope this is right
Identify the values of the variables. Give your answers in the simplest radical form.
Answer/Step-by-step explanation:
✔️Find k:
Reference angle = 60°
Hypotenuse = k
Opposite = 9
Therefore, using trigonometric ratio, we have:
[tex] sin(60) = \frac{9}{k} [/tex]
Multiply both sides by k
[tex] k*sin(60) = 9 [/tex]
Divide both sides by sin(60)
[tex] k = \frac{9}{sin(60)} [/tex]
[tex] k = \frac{9}{\frac{\sqrt{3}}{2}} [/tex]
[tex] k = 9*\frac{2}{\sqrt{3}} [/tex]
[tex] k = \frac{18}{\sqrt{3}} [/tex]
Rationalize
[tex] k = \frac{18*\sqrt{3}}{\sqrt{3}*\sqrt{3}} [/tex]
[tex] k = \frac{18\sqrt{3}}{3} [/tex]
[tex] k = 6\sqrt{3} [/tex]
✔️Find f:
Reference angle = 60°
Opposite = 9
Adjacent = f
Therefore, using trigonometric ratio, we have:
[tex] tan(60) = \frac{9}{f} [/tex]
Multiply both sides by f
[tex] f*tan(60) = 9 [/tex]
Divide both sides by tan(60)
[tex] f = \frac{9}{tan(60)} [/tex]
[tex] k = \frac{9}{\sqrt{3}} [/tex]
Rationalize
[tex] k = \frac{9*\sqrt{3}}{\sqrt{3}*\sqrt{3}} [/tex]
[tex] k = \frac{9\sqrt{3}}{3} [/tex]
[tex] k = 3\sqrt{3} [/tex]
Write the decimal 0.00383 in words
Answer:
point zero zero three eight three
Answer: three thousandths
Step-by-step explanation:
hope this helped
Sarah bought 4 pens for $1.00. How many did she pay for each pen?
Answer:
Sarah paid 25 cents for each individual pen
Step-by-step explanation:
Answer:
she paid .25 cents for each
Step-by-step explanation:
1.00÷4=.25
i am thinking of a number x. What algebraic expression represents "eight less than three times this number "?
Answer:
3x-8
Step-by-step explanation:
3x is three times the number, -8 is 8 less.
The triangle shown below has an area of 12 units squared.
Find x.
Answer:
4
Step-by-step explanation:
area of triangle= 1/2 x perpendicular height x base
What is the slope of the line shown in the graph?
A 3/2
B) 2/3
C) -3/4
D) -2/3
Answer:
D.
Step-by-step explanation:
y-intercept is (0, 3)
x-intercept is (4.5, 0)
formula to find the slope from two points is
[tex]slope = m = \frac{y2 - y1}{x2 - x1} = \frac{y1 - y2}{x1 - x2} \\ [/tex]
then the slope of the line that crosses (0, 3) & (4.5, 0) is
[tex]m = \frac{3 - 0}{0 - 4.5} = \frac{3}{ - 4.5} = - \frac{3}{ \frac{9}{2} } = - \frac{2}{3} [/tex]
A figure has been dilated from center 0 by a scale factor of = 7/6 . What scale factor would shrink the dilated figure back to the original size?
Answer:
6/7
Step-by-step explanation:
1 x 7/6 x 6/7 = 1
A scale factor of 6/7 would shrink the dilated figure back to its original size.
To return the dilated figure back to its original size, you would need to use a scale factor that is the reciprocal of the original dilation scale factor. The reciprocal of a fraction is obtained by flipping the numerator and denominator.
Given the original dilation scale factor of 7/6, the scale factor that would shrink the dilated figure back to the original size is:
Reciprocal of 7/6 = (6/7)
So, using a scale factor of 6/7 would shrink the dilated figure back to its original size.
To know more about scale factor
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find the nth term of this quadratic sequence
2, 8, 18, 32, 50,
A certain ride at an amusement park requires that children be at least 50 inches tall but no more that 65 inches tall. Which of the following absolute values best represents this restriction, where h represents height?
Answer:
|h-57.5| less than or equal to 7.5
Step-by-step explanation:
Since the question states that a child must be 50 and 65 inches, plug in values that are within this range and determine which answer choice gives a TRUE relationship. Choose 60 for h.
Also, I just did it.
Which best describes the figure that is represented by the following coordinates
A(—3,4) B (3, 4) C (3, —2) and D (—3 —2)
Answer: Rectangle
Reasoning: 4 straight sides, 2 pairs of sides of equal length.
In ΔNOP, o = 720 inches, ∠P=163° and ∠N=16°. Find the length of n, to the nearest 10th of an inch
Answer:
11371.4
Step-by-step explanation:
delta math
The length of n is 11373.1 inches
What is triangle?"It is a polygon having three sides, three vertices.""The sum of all angles of triangle is 180°"
For given example,
As we know for ΔNOP,
[tex]\frac{n}{sinN}=\frac{0}{sinO}=\frac{p}{sinP}[/tex]
We know that the sum of all angle of triangle is 180°
For ΔNOP,
⇒ ∠N +∠O + P = 180°
⇒ 16° + ∠O + 163° = 180°
⇒ ∠O = 180 - 179
⇒ ∠O = 1°
The length of n is,
[tex]\frac{n}{sinN}=\frac{0}{sin1}\\\\n(sin1)=0(sin16)\\\\0.01745(n)=720(0.27564)\\\\n=\frac{198.4608}{0.01745}\\\\n=11373.112\\\\n\approx 11373.1~in.[/tex]
Therefore, the length of n is 11373. 3 inches
Learn more about triangle here:
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8936245x18463 brainlist to who gets this right
A graph showing a proportional relationship will...
Find the value for x and y for the triangle. Show work.
Answer:x= 8/√3, y= 16/ √3
Step-by-step explanation:
See the picture below
Simplify: [-5]+2 answer please
Answer:
I think it's -3
hope it's right:)
Step-by-step explanation:
[tex] \sf{ \huge{( - 5) + 2}}[/tex]
While adding or subtracting integers with unlike signs , subtract and keep the sign of the higher integer. In our case , subtract 2 from 5 and keep the sign of higher integer i.e ( - )
⟿ [tex] \sf{ \huge{ \boxed{ { - 3}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Help! Anyone??
The graph below shows the relationship between the distance a car is driven and the numbers of gallons of gas used.
a. Find and interpret the slope.
b. Interpret the slope.
Step-by-step explanation:
not sure about this one sorry cant help ya but i do have a hint its B
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Select ALL the expressions that are greater than one
A: 4 Divided by 3/4
B: 1/3 Divided by 10
C: 5/6 Divided by 2/5
D: 3 1/8 Divided by 2 7/8
E: 9/7 divided by 8/7
Answer: The answers are all of the options except for B.
Step-by-step explanation:
Option A. 4/1 x 4/3 is 16/3. 16/3 > 1
Option B. 1/3 x 1/10 is 1/30. 1/30 < 1
Option C. 5/6 x 5/2 is 25/12. 25/12 > 1
Option D. 25/8 x 8/23 is 200/184. 200/184 > 1
Option E. 9/7 x 7/8 is 63/56. 63/56 > 1
Hence, the correct answer is option A, C, D, and E.
Pls help me I will Brianlest
Answer:
$4400
Step-by-step explanation:
Total earnings = $1038
Base salary = $675
What part of the total earnings was from the commission?
$1038 - $675 = $363
She made $363 in commissions.
The commissions are 8.75% of the sales.
Let sales = x.
8.25% of x = $363
0.0825x = 363
Divide both sides by 0.0825
x = 4400
Answer: Her sales were $4400