Answer:
4Step-by-step explanation:
Let the function given be f(x) = x³
The formula for calculating the average rate of change is expressed by:
f'(x) = [tex]\frac{f(x+h)-f(x)}{h}[/tex]
If f(x) = x³
f(x+h) = (x=h)³
substitute the functions in the formula
[tex]f'(x) = \frac{(x+h)^3-x^3}{h}\\f'(x) = \frac{(x^3+3xh^2+3hx^2+h^3)-x^3}{h}\\f'(x) = \frac{3xh^2+3hx^2+h^3}{h}\\f'(x) = \frac{h(3xh+3x^2+h^2)}{h}\\f'(x) = 3xh+3x^2+h^2[/tex]
Since h = x₂-x₁ and x = 0
[tex]f'(x) = 3(0)(2-0)+3(0)^2+(2-0)^2\\f'(x) = 0+0+2^2\\f'(x) = 4\\[/tex]
Hence the average rate of change is 4
Answer:
A. 4 is the correct answer
Step-by-step explanation:
ANSWER ONE AND TWO ILL GIVE YOU BRAINLIST!!!
Step-by-step explanation:
1.
Radius of of the table cloth = diameter/2 = 30/2 = 15 inches
Area of the table cloth
[tex] A = \pi r^2 \\\\
= \pi (30)^2 \\\\
= \pi\times 900\\\\
= 900\pi [/tex]
Area of the table cloth [tex] = 900\pi\: inches^2 [/tex]
2.
Radius of circular garden = 3 m
Area of circular garden
[tex] A = \pi r^2 \\\\
= \pi (3)^2 \\\\
=\pi\times 9\\\\
=9\pi [/tex]
Area of circular garden [tex] =9\pi\: m^2 [/tex]
Identify the like terms:
3t2 - 2t2 + 6 +12
Answer:
3t2 and -2t2. and 6 and 12
12. Given y-3 = (x + 1), convert it to standard form.
Answer:
x - y = -4
Step-by-step explanation:
Standard Form: Ax + By = C
A is non-negative
Step 1: Define equation
y - 3 = (x + 1)
Step 2: Solve to Standard Form
Add 3 to both sides: y = x + 4Subtract x on both sides: y - x = 4Factor out negative: -(x - y) = 4Divide by -1 on both sides: x - y = -4YYYYYYYYYYYYYYYYYYYYYYYYYYYY HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
6.723=6.7, 6.538=6.5, 6.647=6.6, 6.49=6.5, 6.687=6.7, 6.56=6.6
Step-by-step explanation:
This should be correct
Answer:
Step-by-step explanation:
Here's the general rule for rounding: If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
please help me out thank you so much :)
7+7
Answer:
14
Step-by-step explanation:
7+7
Calculate.
7+7 = 14
To measure a stone face carved on the side of a mountain, two sightings 700 feet from the base of the mountain are taken. If the angle of elevation to the bottom of the face is 35 and the angle of elevation to the top is 38 , what is the height of the stone face?
Answer:
75feet
Step-by-step explanation:
To measure a stone face carved on the side of a mountain, two sightings 700 feet from the base of the mountain are taken. If the angle of elevation to the bottom of the face is 35 and the angle of elevation to the top is 38 , what is the height of the stone face?
Iet us say we have two right triangles. With a base of 700. The first has angle of 35o and the other has an angle of 38degree
Then we need the Height
From trigonometry
Tan = opposite/adjacent.
In this case the adjacent is 800
Tan 35 = 0.7002
Tan 38 = 0.781
What is the value of the expression below if x = 4 and y = 3
Answer:99
Step-by-step explanation:
Step-by-step explanation:
Select the equivalent expression.
Answer:
The answer is B
Step-by-step explanation:
This is because when you distribute the -4 to 9^6 and 7^-24 you will get 9^-24 and 7^36. Then, you can move the 7^-24 to the denominator because of the negative exponent rule.
PS: ^ means to the power of
Find the slope of each line.
m
(Use the / to write your answer as a fraction. If your answer is a negative fraction, put the negative first before the fraction. For example, type
-4/7 instead of 41.7. Keep your answer as a fraction. Do not change it to a decimal)
Which is the larger value below?
A) 9.54 x 10-3
B) 6.54 x 10-4
Answer:
A
Step-by-step explanation:
a
10-3=7 , so,
9.54 * 7 = 92.4
b
10-4=6
6.54*10 = 61.4
Answer:
A
Step-by-step explanation:
because you need to do Multiplication after subtraction
A number to the 8th power divided by the same number to the 6th power equals 64. What is the number?
The number is
Answer:
4
Step-by-step explanation:
Let the number = X
You have X^8 / X^5
When dividing two numbers with powers, Simplify the expression by subtracting the powers.
8-5=3
so X^8 / X^5 becomes x^3
Now you have x^3 = 64
To find x take the cubic root of 64:
X = ∛64
X = 4
The number is 4
The side of a square is 15 millimeters. What is the perimeter?
Answer:
60 millimeters
Step-by-step explanation:
15(4)= 60
Answer:
15+15+15+15=60
Step-by-step explanation:
another way and it's quicker is 15*4
HELP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
79
Step-by-step explanation:
m<1 = 90 -38 = 52
m<3 = 90 - 52 = 38\
m<2 = 180-38-63 = 79
Answer:
Step-by-step explanation:
<1 + <3 = 90 Parallel lines produce interior angles that add to to 90
<1 + 38 = 90 Substitution
<1 = 90 - 38 52
<3 = 90 - 52
<3 = 38
38 + 63 + <2 = 180 Sum of angles in a triangle always = 180
101 + <2 = 180
<2 = 79
Answer the following question from the picture:
Answer:
x°= 67°. it's from 180-130 then it's added with 63 then again substrated from 180.
Y°= 63°. y° same as 63° below.
z°= 32°. 85 is added with y° which is 148 and it's substrate from 180 which is 32°.
WILL GIVE BRAINLIEST!
PRECALCULUS
Answer: heck no i dont knwo dis lmxo
Step-by-step explanation:
12
11
84
12
84
Scale Factor=
x =
what is 1 and 7/8 + 1/9?
A. 0
B. 1
C. 2
D. 2 and 1/2.
Answer:
D. 2 and 1/2
Hope it helps! Please mark Brainliest!
Answer:
1 71/72
Step-by-step explanation:
1 7/8 + 1/9 = 1 + 7/8 * 9/9 + 1/9 * 8/8 = 1 + 63/72 + 8/72 = 1 + 71/72 = 1 71/72
Which statement that describes show that figure a is congruent to figure b
Answer:
E.
Step-by-step explanation:
Translation: slide of the shape or figure, it does NOT change its shape, size, and form, count how many units the shape moves.
Reflection: flip of the shape, does NOT change its shape, size, and form, either can be flipped or reflected over the x or y axis.
Rotation: turn of the shape, does NOT change its shape, size, and form, either can be rotated counter clock wise left, (opposite of a clock direction), or clockwise, the direction a clock moves right. It can also be rotated 90° (1 turn), 180° (2 turns), 270° (3 turns) or 360° (4 turns). In highschool, you will get introduced to more degrees of rotation, this is just middle school level.
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-8,1) and (-4,-5)
Fiona was thinking of a number. Fiona adds 18 to it, then doubles it and gets an answer of 40.1. What was the original number?
Answer:
2.05,i need 20 characters so here lol
Solve for the letter A. ab+d=c
Answer:
a=c/b-d/b
Step-by-step explanation:
Answer:
a=c-d/b
Step-by-step explanation:
We first need to isolate the variable "a" by doing the opposite operation.
1. subtract "d" on both sides
After step 1- ab=c-d
2. divide both sides by "b" because that is the only way to isolate a permanently
After step 2- a=c-d/b
on a cm grid, point p has coordinates (3,-1) and point q has coordinates (-5,6) calculate the shortest distance between p and q give answer t 1 decimal place
17caslan19 avatar
the base of the tringle would be 8 and the height would be 7 use pythagorus
Answer:
≈ 10.6 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = p(3, - 1) and (x₂, y₂ ) = q(- 5, 6)
d = [tex]\sqrt{(-5-3)^2+(6+1)^2}[/tex]
= [tex]\sqrt{(-8)^2+ 7^2}[/tex]
= [tex]\sqrt{64+49}[/tex]
= [tex]\sqrt{113}[/tex] ≈ 10.6 ( to 1 dec. place )
Bruce owns a business that produces widgets. He must bring in more in revenue than he pays out in costs in order to make a profit. • It costs $10 in labor and materials to make each of his widgets. • His rent each month for his factory is $4,000. He sells each widget for $25. What is the smallest number of widgets Bruce needs to sell each month to make a profit?
Answer:
Bruce needs to sell 267 widgets each month to make a profit.
Step-by-step explanation:
From the information given, you can write that the cost of the monthly rent plus the cost in labor and materials to make each widget for the number of widgets is equal to the amount of sales:
10x +4000 = 25x
Now, you can solve for x:
4000 =25x-10x
4000=15x
x= 266.67→267
According to this, the answer is that Bruce needs to sell 267 widgets each month to make a profit.
The two triangles in the graphic below can be proven congruent by:
Answer:
AAS
Step-by-step explanation:
Write the equation of the piecewise function. Algebra 2
Answer:
C. [tex]y=\begin{cases}2-x&x<0\\5-3x&x\ge 0\end{cases}[/tex]
D. [tex]y=\begin{cases}-2&x<-3\\4&x>-3\end{cases}[/tex]
Step-by-step explanation:
C. The line to the left of x=0 has a slope of -1 and a y-intercept of 2. That portion of the function does not include x=0. The line to the right of x=0 has a slope of -3 and a y-intercept of 5. That portion of the function includes the case x=0.
[tex]\boxed{y=\begin{cases}2-x&x<0\\5-3x&x\ge 0\end{cases}}[/tex]
__
D. The line to the left of x=-3 is y=-2; the line to the right of there is y=4. The function is not defined at x=-3.
[tex]\boxed{y=\begin{cases}-2&x<-3\\4&x>-3\end{cases}}[/tex]
what is the slope of the line 3y-x=-6
how do i solve
3(5x + 2) = 2(3-6)
Step-by-step explanation:
Hey there! Down here :D
[tex]3(5x + 2) = 2(3 - 6)[/tex]
[tex]15x + 6 = 2( - 3)[/tex]
[tex]15x = - 12[/tex]
[tex]x = \frac{ - 12}{15} [/tex]
is the required answer.
Hope It helps :)
When an angle is reflected across a line, what happens to its measure?
A It remains the same
B It doubles
C It halves
D Not enough information
6 +(-1)=math please help
Answer:
5
Step-by-step explanation:
[tex]Steps\\\\6+\left(-1\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\=6-1\\\\\mathrm{Subtract\:the\:numbers:}\:6-1=5\\=5[/tex]
Ben is starting a business to wash his neighbors cars. He will earn $9.50 per car he washes, plus an additional $50 his mom gave him as a bonus. If 'y' represents total profit, and 'x' represents the cars he washes, what equation can model Ben's profit per car he washes?
A. y = 50x + 9.50
B. y = 9.50x + 50
C. y = 59.50
D. y=9.50% - 50
Answer:
its b
Step-by-step explanation:
y being the total equals 9.50 times x beacause is how many cars he washed and the plus 50 is the money his mom gave him
Answer:
b
Step-by-step explanation: