Answer:
[tex]B=7x^4[/tex]
Step-by-step explanation:
The given equality is
[tex]-35x^6=(-5x^2)B[/tex]
Take the term [tex](-5x^2)[/tex] to the left hand side. This means the term [tex]-35x^6[/tex] will be divided by [tex](-5x^2)[/tex]
[tex]\dfrac{-35x^6}{(-5x^2)}=B[/tex]
Now since both the numerator and denominator have negative sign the value of fraction will be positive.
[tex]\dfrac{35x^6}{(5x^2)}=B[/tex]
Now [tex]5\times 7=35[/tex] and [tex]x^{6-2}=x^4[/tex]
[tex]7x^4=B[/tex]
So, the missing factor [tex]B=7x^4[/tex]
Not long after he begins to study algebra he will likely meet with the "tank" problems, the "labor" problems and many other puzzle problems. He finds these problems carefully phrased in the language of practical mathematics. However, a study of the original problems and the fanciful way in which they were stated will reveal the fact that they were originally intended mostly for puzzles. The present-day student of algebra would doubtless work as industriously over the so-called practical problems if he were told they were puzzle problems that his predecessors had worked on for the past 1600 years.
The problems given below are selected from a collection made by Metrodorus about 310 A. D. found in The Greek Anthology. It is not known how much farther back they date. It will not be difficult for the reader to trace many of the problems found in the present-day algebras back to their original source. He may judge for himself as to whether the modern text-book writer has improved the problems by leaving off the little fanciful touches of rhetoric, found in the original.
The original problems were solved by rhetorical algebra as our symbols, +, -, ×, ÷, etc., were introduced many centuries later, about 1540.
Answer:
wow thats some good information there!
Step-by-step explanation:
help.me with Ap calc please
Answer:
[tex]\displaystyle f'(1) = 6[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle f(x) = 5x - 1 + \ln x[/tex]
Step 2: Differentiate
[Function] Derivative Property [Addition/Subtraction]: [tex]\displaystyle f'(x) = \frac{d}{dx}[5x] - \frac{d}{dx}[1] + \frac{d}{dx}[\ln x][/tex]Rewrite [Derivative Property - Multiplied Constant]: [tex]\displaystyle f'(x) = 5 \frac{d}{dx}[x] - \frac{d}{dx}[1] + \frac{d}{dx}[\ln x][/tex]Derivative Rule [Basic Power Rule]: [tex]\displaystyle f'(x) = 5 - 0 + \frac{d}{dx}[\ln x][/tex]Logarithmic Differentiation: [tex]\displaystyle f'(x) = 5 + \frac{1}{x}[/tex]Substitute in x: [tex]\displaystyle f'(1) = 5 + \frac{1}{1}[/tex]Simplify: [tex]\displaystyle f'(1) = 6[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
All Common multiples between 2 and 9
Answer:
18, 36, 54, 72, 90...
Step-by-step explanation:
In the fraction 7/8 , the Numerator Denominator is 7.
Answer:
The numerator
Step-by-step explanation:
numerator is the top
denominator is the bottom
his figure is made from part of a circle and part of a square.
Answer:
What?
Step-by-step explanation:
Find the slope of the line that passes through the points (10,8) and (4,12).
WRITE THE ANSWER AS A SIMPLIFIED FRACTION PLEASE
Answer:
-2/3
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ]. Use the given points to substitute and solve.
12-8/4-10
4/-6
-2/3
Best of Luck!
Answer:
[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
Slope formula is:
[tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1}}[/tex]
Let's plug-in our numbers.
[tex]\frac{12 - 8}{4 - 10} = \frac{4}{-6} = -\frac{4}{6}[/tex]
Now, we must simplify the fraction. We can do this by by finding the GCF (Greatest Common Factor). Let's list out what 6 and 4 have in common.
What can 6 be divided into?
2 * 3 = 6
1 * 6 = 6
What can 4 be divided into?
2 * 2 = 4
1 * 4 = 4
The GCF of these two numbers is 2!
[tex]-\frac{4\div2}{6\div2} = -\frac{2}{3}[/tex]
So, our slope is [tex]-\frac{2}{3}[/tex]
Another way to solve this is [tex]\frac{rise}{run}[/tex]I have shown how to do this in the picture below. We get the same answer solving this way as well.
~ [tex]InLoveWithPugs[/tex]
[tex]Math \ Enthusiast\\Moderator[/tex]
I WILL MARK BRAINLIEST!!
Answer:
Option 3
Step-by-step explanation:
3/2 times x - 3 = y can also be:
y=3/2 times x-3
-3 is the y-intercept. This is one of the points, (0,-3).
Now, you need to solve for x. Say y equals 0.
3/2 times x-3 will equal 0.
3/2 times 2 = 6/2 which equals 3. You can solve the equation now.
3/2 times 2 - 3 = 0
2 is the x-intercept. This is the other point in the line, (2,0).
So the answer is Option 3
its past due so plz help me
Answer:
y= 5/8x
Step-by-step explanation:
When it says y is it typically means y=.
When it says 5/8 of a number or of a variable it means that number times that variable.
Hope this helps!
solve this you get all my points and brainlyest
Answer:
c
Step-by-step explanation:
A point is chosen in the circle at random. Determine which of the statements are true. Check all that apply.
It is unlikely the point is in region A.
It is likely the point is in region C.
It is likely the point is in region G.
It is impossible for the point to be in region H.
It is certain that the point will land in a lettered region.
a,d,e
Step-by-step explanation:
I took the question
Answer:
A D E
Step-by-step explanation:
Thomas is going to flip an unfair coin 2 times. Each coin flip is independent, and the probability that the coin flips
heads is 20% each time.
Please tell me the possible outcomes, thank you.
Answer:
Step-by-step explanation:
The probability of flipping heads is 20% (or 0.2), the probability of flipping tails is 80% (or 0.8).
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
There are four possible outcomes when flipping an unfair coin twice, since each coin flip has two possible outcomes (heads or tails).
We can use H to represent heads and T to represent tails.
The possible outcomes are:
HH (both flips are heads)
HT (first flip is heads, second flip is tails)
TH (first flip is tails, second flip is heads)
TT (both flips are tails)
Each of these outcomes has a certain probability associated with it.
Since the probability of flipping heads is 20% (or 0.2), the probability of flipping tails is 80% (or 0.8).
Hence, the probability of flipping heads is 20% (or 0.2), the probability of flipping tails is 80% (or 0.8).
To learn more on probability click:
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Julie has a square-shaped driveway with an area of 256 square feet. What are the dimensions of the driveway?
Answer:
16 ft^2
Step-by-step explanation:
If it is a perfect square, all you have to do is find the square root of the area, which in this case, is 16.
What is the slope of the line that passes through the points (9,5) and (21,1)? Write your answer in simplest form.
Answer:The slope of the line would be 1/3 because if you put those two coordinates in the table then you can see the the difference between 5 and 1 is 4 and the difference between 9 and 21 is 12 then do 4 divided by 12 and you get 1/3 for your slope.
Step-by-step explanation: I know math just trust me i am a sraight A student.
Zeke kicked a football 92 yards. Zane estimated it at 90 yards. What percent error did Zane make? If a decimal, round the percent to 2 decimal places.
Answer:
Zeke had a 2.17% margin of error in his estimation.
Step-by-step explanation:
To set this problem up, you would need to create a proportion. X, the percent of error you're trying to find, should be over 100%. It should look like:
2/92 = X/100
This would translate your terms, the distance the football was kicked, into percentage terms. You should have 2/92 rather than 90/92. 90/92 would give you how accurate Zeke's estimate was instead of is percent of error.
Cross-multiply your numbers:
(2)(100) = 92X
200 = 92X
X = 2.1739
Then, once you round it, your answer would be X = 2.17.
Choose a system of equations with the same solution as the following system:
4x − 2y = 6
2x + y = 5
A) −4x − 2y = 10
2x − 3y = 21
B) 4x + 2y = 10
10x + y = 21
C) −4x − 5y = −1
2x − 6y = 10
D) 3x + 2y = 6
9x + y = 17
Answer:
The answer is C.
Answer:
the answer is C
Step-by-step explanation:
I took the test
What is the slope of the line that passes through (−2, −4) and (3, 7) ?
A.9/ 7 B. 11/ 5 C. 3 D. I don't know.
Answer:
11/5
Step-by-step explanation:
-4 - 7 = -11
-2 - 3 = -5
11/5
Answer:
B. 11/5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-2, -4)
Point (3, 7)
Step 2: Find slope m
Substitute: [tex]m=\frac{7+4}{3+2}[/tex]Add: [tex]m=\frac{11}{5}[/tex]can someone help me with thiis?
Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer:
47°
Step-by-step explanation:
they are parallel to each other
Answer:
47
Step-by-step explanation:
47 and x are alternate interior angles
choose the graph that represents the point on the coordinate plane. P (0,8)
Note: You missed to add the diagram. After a little research, I found the diagram.
Hence, I am solving the question based on the attached diagram.
Answer:
option C is the right graph that represents the point P(0, 8) on the coordinate plane.
Step-by-step explanation:
The assumed diagram is attached below.
From the diagram, it is clear that:
Graph A represents the point P at the location (8, 8).Graph B represents the point P at the location (8, 0).Graph D represents the point P at the location (8, 1).But, if we closely observe the graph C on the diagram below, we can validate that graph C is clearly indicating that the point P is located at the location (0, 8).
Hence, option C is the right graph that represents the point P(0, 8) on the coordinate plane.
what does -4(2x+9) equal
Answer:
-8x-36
Step-by-step explanation:
-4(2x+9)
distribute: -4(2x+9)= -8x-36
David pays $335 in advance on his account at the gym. Each time he visits the gym , $6 is deducted from the account. Write an equation in y = max + form that represents the value remaining in his account after x visits
Answer:
x = 335 - (6 * v)
Step-by-step explanation:
In order to calculate the value remaining, we need to first multiply the daily cost of each visit by the number of visits made to the gym which is represented by the variable (v). Once we have this cost of all the days then we subtract this amount from the current account balance in order to get the new remaining balance which is represented by x.
x = 335 - (6 * v)
Determine if the following function is even, odd, or neither.. . f(x) = –9x^4 + 5x + 3. Show step-by-step solution.
Answer:
96/45
Step-by-step explanation:
56
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38303[
if BD and EG are parallel lines and m∠DCF = 125°, what is m∠DCA
Answer:
55
Step-by-step explanation:
FCA equals 180 degrees so you subtract 180 from 125 and get 55 degrees.
Answer:
55
Step-by-step explanation:
Just subtract 180 and 125
You said that m∠DCF = 125° right?
And the m∠DCF and m∠DCA are linear pair because they have angles that share a side, so supplementary angles = 180
m∠DCF + m∠DCA = 180
replace (since m∠DCF = 125):
125 + m∠DCA = 180
-125 -125
m∠DCA = 180 - 125
m∠DCA = 55
just need 5 and 6 done due in 20 minutes plz help
Step-by-step explanation:
5. Let the equation of the line be y = mx + c
m = (6-15)/(2-(-1)) = -3
sub (2, 6) and m = -3:
6 = -3(2) + c
c = 12
Equation of the line: y = -3x + 12
6. Let the equation of the line be y = mx + c
y-intercept of 7 means c = 7
y = mx + 7
x-intercept: value of x when y = 0
therefore, sub (4, 0):
0 = m(4) + 7
m = -7/4
Equation of the line: y = -7/4x + 7
this is a topic on coordinate geometry. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting the notes for this topic soon and will also be posting other topics' notes and some tips :)
The first three terms of an arithmetic sequence are as follows.
-10, -4, 2
Find the next two terms of this sequence.
-10,- 4, 2, 0.0
Х
?
Answer: the awnswer is 3 i think hope you pass
Step-by-step explanation:
10x^2y - 15xy^2?
Completely factor
Marshall is writing an equivalent equation to solve for x. What should be his next step? 5 x + 4 y = 8. 5 x + 4 y minus 4 y = 8 minus 4 y. 5 x = 8 minus 4 y.
Answer:
d)Divide both sides of the equation by 5.
Step-by-step explanation:
Marshall is writing an equivalent equation to solve for x. What should be his next step?
5x+4y=8
5x+4y-4y=8-4y
5x=8-4y
a)Add 5x to both sides of the equation.
b)Subtract 5x from both sides of the equation.
c)Multiply both sides of the equation by 5.
d)Divide both sides of the equation by 5.
5x + 4y = 8
Subtract 4y from both sides
5x + 4y - 4y = 8 - 4y
5x = 8- 4y
Divide both sides by 5
5x / 5 = (8 - 4y) / 5
x = (8 - 4y) / 5
Marshall's next step should be to divide both sides of the equation by 5
Answer: D)Divide both sides of the equation by 5.
Step-by-step explanation:
got it right edge 2021
The image of point (-2,3) under translation T'is
(3,-1). What is the image of point (4,2) under the
same translation?
Answer:
Step-by-step explanation:
REF: 060309a
ANS:
(9,−2)
(x,y)-->(x+5,y-4)
Transformation involves changing the position of a point.
The image of the translation is (9,-2).
The point is given as:
[tex]\mathbf{A= (-2,3)}[/tex]
The image of the point is:
[tex]\mathbf{A'= (3,-1)}[/tex]
The translation rule is calculated as:
[tex]\mathbf{T = <x + 3--2,y-1-3>}[/tex]
[tex]\mathbf{T = <x + 5,y-4>}[/tex]
So, the image of (4,2) is:
[tex]\mathbf{Image = (4 + 5, 2 -4)}[/tex]
[tex]\mathbf{Image = (9, -2)}[/tex]
Hence, the image of the translation is (9,-2).
Read more about translation at:
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Solve for C p=b+c/5 I need help
Answer:
Step-by-step explanation:
p = b + c/5 Subtract b from both sides
p - b = c/5 Put brackets around the left side
(p - b) = c/5 Multiply by 5
5(p - b) = c
Write an equation that could be used to find three consecutive odd integers whose sum is -3
Answer:
2x+1 + 2x+3 + 2x+5 = -3Step-by-step explanation:
2x+1 - the first odd integer
2 x+1 + 2 = 2x+3 - the next odd integer consecutive to 2x+1
2x+3+2 = 2x+5 - the odd integer consecutive to 2x+3 (the third consecutive odd integer)
2x+1 + 2x+3 + 2x+5 - the sum of three consecutive odd integers
therefore the equation:
2x+1 + 2x+3 + 2x+5 = -3
6x + 9 = -3
6x = -12
x = -2
2x+1=2(-2)+1=-3
2x+3=2(-2)+3=-1
2x+5=2(-2)+5=1
the three consecutive odd integers whose sum is -3 are: -3,-1,1