Step-by-step explanation:
F(x) = 2x³ - 3x + 1.
d/dx [2x³ - 3x + 1] = 6x² - 3.
Firstly, we wish to find the stationary points of F(x).
When 6x² - 3 = 0, x = -0.707 or x = 0.707.
Now we use Second Derivative test:
d/dx [6x² - 3] = 12x.
Since 12(-0.707) < 0, x = -0.707 is a relative maximum point.
Since 12(0.707) > 0, x = 0.707 is a relative minimum point.
Hence x = 0.707. To find the exact point you can substitute the value of x back into the equation 2x³ - 3x +1.
Which expression best represents "7 fewer than 4 times a number x"?
Answer:
4x - 7
Step-by-step explanation:
What is √80k3 expressed in simplest radical form?
Answer:
The answer is A.
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
√[tex]80k^3[/tex] expressed in simplest radical form is 4√[tex](5k^2)[/tex].
To simplify the expression √[tex]80k^3[/tex] (square root of [tex]80k^3[/tex]) in its simplest radical form, you can break down [tex]80k^3[/tex] into its prime factors:
[tex]80k^3 = 2^4 * 5 * k^3[/tex]
Now, take the square root of each factor:
√[tex]80k^3[/tex] = √[tex](2^4 * 5 * k^3)[/tex]
Since square roots of perfect squares simplify to whole numbers, and the square root of [tex]k^3[/tex] is [tex]k^{3/2}[/tex], the simplified radical form is:
√[tex]80k^3[/tex] = [tex]2^2[/tex] * √[tex](5k^2)[/tex] = 4√[tex](5k^2)[/tex]
Therefore, √[tex]80k^3[/tex] expressed in its simplest radical form is 4√[tex](5k^2)[/tex].
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Help
Please help find b
Answer:
70°
Step-by-step explanation:
1. the rule is: m(∠1)+m(∠2)+m(∠3)=180°.
2. the substitution according to the rule above:
b+2b-90+b-10=180;
4b=280;
b=70°
X=number of hours
Y=number of tents made
X=0,1,2,3,4,5,6,7,8
Y=6,7,8,9,10,11,12,13,14
If the slope is 1, What does it represent?
An employee is asked to calculate the chi-square value, for company data set for which observed frequency is 9.5 and expected frequency is 19. What will be the Chi-Square value
Answer:
X² =4.75
Step-by-step explanation:
The formula for calculating the chi square value is expressed as
X² = [ (O - E)²/ E ].
O is the observed frequency
E is the expected frequency
Given
O = 9.5
E = 19
Substitute into the formula:
X² = (9.5-19)²/19
X² = 9.5²/19
X² = 90.25/19
X² = 4.75
Hence the chi square value will be 4.75
Solve for x using the
distributive property.
3(-3 - 3x) = 27
Answer:
-9-9x=27+9
-9x=36÷(-9)
x=-4
Step-by-step explanation:
prove me wrong
******time limit******
Answer:
1 hour 12minutes
Step-by-step explanation:
2. What is an example of personification? *
Answer:
D. a pencil can not have thoughts like a person, so it is personification.
Answer:
The answer is D.
PLZ PLZ PLZ ANSWER!! I WILL GIVE YOU BRAINLIEST!!!
Which answer choice shows the numbers in order from least to greatest?
• -2/3, -1/2, 7/12, 0.82
• -1/2 , -2/3, 7/12, -0.45, 0.82
• -0.45, -1/2, -2/3, 7/12, 0.82
• -0.45, -1/2, 7/12, -2/3, 0.82
Answer:
option 1 is correct
Step-by-step explanation:
yes makes me brain list
Please help!!!! 8th grade math
Answer: (4,12) or (1/3) simplified
Answer:
2/6
Step-by-step explanation:
so do rise of run but you would move down on the rising. So you go down 2 and run 6
1)! (b) Complete the table of values for y = 3x + 1.
Please help ❤️
Answer:
y = -2, 1, 4, 7 (in order)
Step-by-step explanation:
Plug in the value of x into the equation to find y.
For example for -1, plug in x as -1 into the equation.
y = 3(x) +1
y = 3(-1) + 1
y = -2
Similarly plug in the x to find the rest of the values for y.
The pitcher from the home team had 12 strikeouts for 32 batters, While the pitchers for the visiting team had 15 strikeouts for 35 battters. which pitching team had a greater fraction of strikeouts?
really think about this one to help me!
Answer:
The visiting team had a greater fraction of strikeouts
Step-by-step explanation:
Ratios
The ratios are useful to compare rates of change or average values. In our case, we need to compare the average of strikeouts from two teams.
The home team had 12 strikeouts for 32 batters. This gives an average of:
[tex]\frac{12}{32}=0.38[/tex]
The visiting team had 15 strikeouts for 35 batters for an average of:
[tex]\frac{15}{35}=0.43[/tex]
The visiting team had a greater fraction of strikeouts
7. What is most likely the slope of the line graphed?
A.-2
B. 0
C. 2
D. Undefined
Answer:
Undefined
Step-by-step explanation:
If the slope was a horizontal line, then we could say y=2, however, it is only going through the x-axis so it would be x=2, but in terms of y it is undefined.
The slope of the tangent line to the function f(x) = StartFraction 8 Over x minus 3 EndFraction at x = –5 is
–1.
Negative 1/8
1/8
8
What is 4/5 as a decimal representation and as a percent representation
Answer:
decimal=0.8
percentage=80%
Mark can make 42birthday cakes in 7 days.
How many birthday cakes can Mark make in 5 days?
Answer:
30 birthday cakes
Step-by-step explanation:
42÷7=6
6×5=30
If a square has the sides of 6 cm then how far will it be from one corner of the square to the opposite corner?
Answer:
8.5 cm
Step-by-step explanation:
We know that the square has side lengths of 6cm. To calculate the distance from one corner of the square to the opposite corner, we are calculating the diagonal of the square.
Along the diagonal is where the square gets split in half into two right triangles. The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where c is the longest side of a right triangle and a and b are the other two sides.
To find the length of the square's diagonal, we essentially need to calculate c, the longest side of the triangles. We can do this by plugging 6 into the equation as a and b.
[tex]a^2+b^2=c^2\\6^2+6^2=c^2\\36+36=c^2\\72=c^2\\\sqrt{72} =c[/tex]
[tex]8.5[/tex] ≈ [tex]c[/tex]
Therefore, it will be approximately 8.5cm from one corner of the square to the opposite corner.
I hope this helps!
5/6 divided by 2 1/6=
Answer:
(5 / 6) / 2 1/6 = 0.384615385
Step-by-step explanation:
Answer:0.2587 hope this helps you out. have a good day!
Step-by-step explanation:
Tyler ate x fruit snacks, and Han ate 3/4 less than that. Write an equation to represent the relationship between the number Tyler ate (x) and the number Han ate (y).
Answer:
0.75x = y
Step-by-step explanation:
The required expression represents the relationship between the number Tyler ate (x) and the number Han ate (y) is y = x/4.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
Tyler ate x fruit snacks, and Han ate 3/4 less than that
Let the snacks eaten by Han be y,
According to the question,
y = x - 3/4x
y = x/4
Thus, the required expression represents the relationship between the number Tyler ate (x) and the number Han ate (y) is y = x/4.
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PLEASE HELP Mrs. Felley has 64 student. 3/4 of her students made an A on their exam. How many of Mrs. Kelley's students made an A on their exam. How many of Mrs. Kelley's students made an A on their exam.
Answer:
.75 because
Step-by-step explanation:
3/4= 75%
75% divided by 100 = .75
factorise x^2-3xy-18y^2
plzzzzz it's urgent
Step-by-step explanation:
here,
x^2 -3xy-18xy^2
=x^2-(6-3)xy-18xy^2
=x^2-6xy+3xy-18y^2
=x(x-6y)+3y(x-6y)
=(x-6y)(x-3y)
1. A truck is carrying passion fruit juice, grapefruit juice, and grape juice bottles in a ratio of 1 : 4 : 2. If there are 12 passion fruit juice bottles, then how many grapefruit juice bottles are there
12 : 48 : 24
thats the answer
12 passion fruit
48 grapefruit
24 grape juice
f(x)=-x^2-10x find f(-7)
=Answer:
Step-by-step explanation:
f(-7) = -(-7)^2 - 10(-7) = -49 +70 = 21
How do you set up problem
Answer:
Solve one of the equations for one of the variables. Let's solve the first equation for y: ...
Step 2: Substitute that equation into the other equation, and solve for x. ...
Step 3: Substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.
Answer:
wdym? .................
Which of the following is a negative integer?
-1/7
-7
.07
7
help ! need an explanation and answer!
Answer:
as below
Step-by-step explanation:
because the interior angles add up to 180 degrees.. you can solve this
180= 32 + 64 + x hmm
84 = x
so the last angle is 84° :)
as we know that the sum of three interiors angle = 180
Two angles are given 32 and 64
let the angles be a , b and c
A + B + C = 180
32 + 64 + C = 180
C = 180-96
C = 84
Hence the 3rd angle is 84
hope it helps u
31 days x 160 residents=
Answer:
4960?
Step-by-step explanation:
31 times 160 = 4960
what is the
lmc of 12 and 15
Answer:
the lowest common multiple is 60
Step-by-step explanation:
The multiples of 12 are : 12, 24, 36, 48, 60, 72, 84,
The multiples of 15 are : 15, 30, 45, 60, 75, 90, ....
60 is a common multiple (a multiple of both 12 and 15), and there are no lower common multiples.
Therefore, the lowest common multiple of 12 and 15 is 60.
Answer:
[tex]60[/tex]
Step-by-step explanation:
Least Common Multiplier (LCM)
The LCM of [tex]a,b[/tex] is the smallest positive number that is divisible by both [tex]a[/tex] and [tex]b[/tex]
Prime factorization of [tex]12[/tex]
[tex]12[/tex]
[tex]12[/tex] divides by [tex]2[/tex] [tex]12=6*2[/tex]
[tex]=2*6[/tex]
[tex]6[/tex] divides by [tex]2[/tex] [tex]6=3*2[/tex]
[tex]2,3[/tex] are both prime numbers, therefore no further factorization is possible
[tex]=2*2*3[/tex]
Prime factorization of [tex]15[/tex]
[tex]15[/tex]
[tex]15[/tex] divides by [tex]3[/tex] [tex]15=5*3[/tex]
[tex]3,5[/tex] are both prime numbers, therefore no further factorization is possible
Multiply each factor the greatest number of times it occurred in either [tex]12[/tex] or [tex]15[/tex]
[tex]=2*2*3*5[/tex]
Multiply the numbers: [tex]2*2*3*5=60[/tex]
[tex]=60[/tex]
HELP I CAN GIVE BRAINLIEST
Answer:
[tex]m=\frac{2}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (40, 10)
Point (70, 30)
Step 2: Find slope m
Substitute [Slope Formula]: [tex]m=\frac{30-10}{70-40}[/tex]Subtract: [tex]m=\frac{20}{30}[/tex]Simplify: [tex]m=\frac{2}{3}[/tex]Can someone answer me this? “Find f(2) if f(x) = x + 5
A) 2
B) 3
C) 7
D) 1