Answer:
y = (4x - 71)/8
Step-by-step explanation:
2(x - 2)2 = 8(7 + y) solve for y instead of x for the inverse equation
4x - 8 = 63 + 8y
4x - 8 - 63 = 8y
4x - 71 = 8y
y = (4x - 71)/8
Answer:
A
Step-by-step explanation:
1/f = 1/d + 1/d'
How do I find d'?
ax + by = c and mx + ny = d and an # bm then these simultaneous equations have a) Only one common solution. b) No solution. c) Infinite number of solutions. d) Only two solutions.
Answer:
a) Only one common solutionStep-by-step explanation:
The first line has slope of a/b and the second one has slope of m/n.
As an ≠ bm ⇒ a.b ≠ m/n, the slopes are different.
Since the slopes are different the lines are not parallel, hence they intersect at one point.
This means there is one solution only.
ax + by = c and mx + ny = d and an # bm then these simultaneous equations have Only one common solution.
[tex]\sf{ }[/tex] [tex]\sf{ }[/tex]
40 points if helped, question is in the picture
Step-by-step explanation:
0.484848 =x
x=0.48-------1
100x=48.48-----2
2-1
100x-x =48.48-0.48
99x= 48
x =48/99
[tex]x = \frac{48}{99} \\ x= \frac{48 \div 3}{99 \div 3} \\ x = \frac{16}{33} [/tex]
Enter the answer to the problem below using the correct number of significant figures 125× 6.1
Answer:
I think the answer is 762.5 if not correct pardon plz
For which equations below is x = -3 a possible solution? Select three options.
|x|=3
|x|=-3
|-x|=3
|-x|=-3
-|x|=-3
Answer:
-|x|=-3
|x|=-3
|-x|=-3
Step-by-step explanation:
Answer:
Only -lxl = -3 works
Step-by-step explanation:
The other options don't work because they all have numbers inside of the absolute value brackets. You would always get a positive end value when the absolute value equation is applied.
The last one is the only one that works because the negative is outside of the absolute value bracket. Therefore, if you plug in 3 for x, it will give you -3.
if f(x) = 2x/7 +4, which of the following is the inverse of f(x)?
Answer:
The answer is C
Step-by-step explanation:
Switch x and y
[tex]x = \frac{2y}{7} + 4[/tex]
Solve for y
[tex]y = \frac{7(x - 4)}{2} [/tex]
(c) The perimeter of a rectangle with length 2r cm and width 5 m is 14 m.
What is the slope of the graph?
Answer:
I believe it is 1, I might be wrong.
Step-by-step explanation:
Two points on the graph are (1,2) and (2,3)
The first set has variables of x1 and x2 the second has variables of y1 and y2.
The formula is y2 - y1/x2 - x1
Put in the values and you get 2 - 3/2-1.
You would get 1/1, which is equivalent to 1.
9/5C + 32 =59
I'm stuck on how to do this .. please help
Answer:
C= 15
Step-by-step explanation:
[tex] \frac{9}{5} C + 32 = 59 [/tex]
subtracting 32 from both sides
[tex] \frac{9}{5}C = 59 -32 [/tex]
[tex] \frac{9}{5} C = 27[/tex]
Dividing both sides by 9/ 5
[tex]C = 27 \times \frac{5}{9} [/tex]
[tex]C = 3 \times 5[/tex]
[tex]C = 15[/tex]
7. Give an example of a polynomial with a degree of 3.
[tex]\large{\textrm{{{\color{navy}{ax³ + bx² + cx + d}}}}}[/tex]
It is a cubic polynomial.This cubic polynomial has 3 zeros.Pls help ASAP!!!!!
Find the average rate of change from d=4
to d=11 for the function f(d) = 5(1.02)^d. Describe the process and steps he used and explain what the average rate of change represents.
Answer:
0. 116
Step-by-step explanation:
The function is given as :-
[tex]\boxed{f(d) = 5(1.02)^d }[/tex]
and we have to find the rate of change from d = 4 to d = 11
[tex]\boxed{\blue{\mathfrak{Rate\: of\: change = \frac{final\:output-intital\:output}{final\:input-initial\:input} } }}[/tex]
The final input value is 11 whereas the initial input value is 4.
The final and initial outputs can be calculated by placing the respective values of initial and final inputs (that are 4 and 11).
[tex]{\underline{Initial\:Output}}[/tex]f(4) = [tex]5(1.02)^4[/tex]
f(4) = 5 × 1. 08
f(4) = 5. 41
[tex]{\underline{Final\:Output}}[/tex]f(11) = [tex]5(1.02)^11[/tex]
f(11) = 5 × 1. 24
f(11) = 6. 22
[tex]\underline{Avg\:Rate \: of \: change} = \frac{6. 22-5.41}{11-4} \\ = \frac{0.81}{7} \\ = 0.116 [/tex]
[tex]\bigstar[/tex] Hence, the average rate of change is [tex]\red{\underline{\pmb{0. 116}}}[/tex]
Given ABC=65 and BCD=105. Is it possible that Line AB intersects line CD
Given:
[tex]m\angle ABC=65^\circ[/tex]
[tex]m\angle BCD=105^\circ[/tex]
To find:
Whether it is possible that Line AB intersects line CD.
Solution:
We have,
[tex]m\angle ABC=65^\circ[/tex]
[tex]m\angle BCD=105^\circ[/tex]
The angles [tex]m\angle ABC[/tex] and [tex]m\angle BCD[/tex] are same sided interior angles.
If two lines are parallel and a transversal line intersect them, then the same sided interior angles are supplementary angles and their sum is 180 degrees.
[tex]m\angle ABC+m\angle BCD=65^\circ+105^\circ[/tex]
[tex]m\angle ABC+m\angle BCD=170^\circ[/tex]
[tex]m\angle ABC+m\angle BCD\neq 180^\circ[/tex]
So, the lines AB and CD are not parallel to each other.
Therefore, the intersection of lines AB and CD is possible.
Which expressions are in simplest form? Check all that apply.
Question is in the image
Answer:
The answer is:
[tex]f(x)=2x^{2}-8x+6[/tex]
Step-by-step explanation:
The equation of a parabola in the intercept form is given by:
[tex]y=a(x-p)(x-q)[/tex]
Where:
p and q are x-intercepts
Now, we know the parabola intercepts at x=1 and x=3.
So we will have:
[tex]y=a(x-1)(x-3)[/tex]
Using the point (-1,16) we could find the value of a.
[tex]16=a(-1-1)(-1-3)[/tex]
[tex]16=a(-2)(-4)[/tex]
[tex]16=8a[/tex]
[tex]a=2[/tex]
Therefore, the equation is:
[tex]y=2(x-1)(x-3)[/tex]
[tex]y=2(x^{2}-4x+3)[/tex]
[tex]y=2x^{2}-8x+6[/tex]
The answer is:
[tex]f(x)=2x^{2}-8x+6[/tex]
I hope it helps you!
what is the average number of students who like cookies, chips, and crackers?
Cookies=10
Chips=3
Crackers=2
Answer:
m = 15/3 = 5 is the mean
Step-by-step explanation:
Answer:
5 Students But divide by 15/3 to 5
Step-by-step explanation:
What does Average mean?
1. a number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number.
So, to find the answer just ADD 10 + 2 + 3 = ?
10 + 2 = 12 So put that to the side for now.
Now, 10 + 2 = 12 + 3 = 15
So the total number of students who like cookies, chips, and crackers are 15.
Now do 15/3 to get 5.
Tegan is checking her tax bill for the last year.
The tax rates were as follows:
• No tax on the first £11 000 of earnings
• Earnings in excess of £11 000 and up to £43 000 taxed at a rate of 20%
• Earnings in excess of £43000 and up to £150 000 taxed at a rate of 40%
• Earnings over £150 000 taxed at a rate of 45%
Last year, Tegan earned £48 300 before tax.
How much tax did she pay in total?
Answer:
£8520
43000-11000=32000
20/100×32000
£6400
48300-43000=5300
40/100×5300=2120
£8520
Ariel has 20 bouncy balls. He later then sold them for a price of $2 per ball to his best friend, Mike Hawk. Later, Ariel has gotten back 1/69 of his original amount of bouncy balls and got 20 more. How many bouncy balls does Ariel have?
Answer:
420
Step-by-step explanation:
The profit when selling 'x' pairs of shoes is P(x)=-4x^2+32x-39. How many pairs of shoes should be sold in order to maximize the profit
Answer: [tex]4[/tex] pairs
Step-by-step explanation:
Given
Profit on selling 'x' pairs of shoes is [tex]P(x)=-4x^2+32x-39[/tex]
Find the derivative of the function to find out the critical points
[tex]\Rightarrow -8x+32=0\\\Rightarrow x=4[/tex]
Thus, for 4 pair of shoes profit is maximize.
Answer:
4 pairs of shoes.
Step-by-step explanation:
Directions: Solve for the missing proportion in each of the following problems.
9. 12/n = 20/25
10. 5/8 = n/24
11. 2/3 = 16/n
12. 12/14 = n/21
13. n/10 = 6/15
14. 12/3 = 10/n
15. 5/n = 10/16
16. 12/8 = 4/n
Answer:
Step-by-step explanation:
9) 12/n=20/25
simplify 20/25=4/5
12/n=4/5
cross product
n*4=12*5
4n=60
n=60/4
n=15
The missing proportion in each of the following problems shown below:
What is equation?Statement of equality between two expressions consisting of variables and/or numbers
9) 12/n=20/25
12/n=4/5
n*4=12*5
4n=60
n=60/4
n=15
10) 5/8=n/24
8n= 5*24
8n= 120
n= 120/8
n=15
11) 2/3= 16/n
2n=48
n=24
12) 12/14= n/21
n=18
13) n/10 = 6/15
n=4
14) 12/3 = 10/n
n= 2.5
15) 5/n = 10/16
n=8
16) 12/8 = 4/n
n=8/3
Learn more about equation here:
https://brainly.com/question/10413253
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What is the value of X?
3
4
6
8
Answer:
The answer is 4
Step-by-step explanation:
What is X if line a and b are parallel
Answer:
We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
8x = 180 - 148 [ corresponding angles are equal ]
8x = 32
x = 4
What is the equation of the line that has a slope of 3 and passes through the point (1, -2)
Answer:
y= 3x -5
Step-by-step explanation:
The equation of a line can be written in the slope- intercept form, y= mx +c (where m is the slope and c is the y- intercept).
Given that the slope is 3, m= 3. Substitute m= 3 into the equation.
y= 3x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= 1, y= -2,
-2= 3(1) +c
-2= 3 +c
c= -2 -3
c= -5
Thus the equation if the line is y= 3x -5.
The first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraically are shown in the table.
Which represents the solution(s) of this system of equations?
(–3, –1)
(–3, 5)
(–3, 5) and (–1, 9)
(1, 13) and (3, 20)
Answer:
(–3, 5) and (–1, 9)
Step-by-step explanation:
if you just plug the numbers in they fit :)
The solution of the system of equations is (–3, 5) and (–1, 9).
What is the System of the equation?Inconsistent System
For a system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.
The solution of a system of equations is the point where the line of the equations intersects, therefore, the solution of the system of equations is (–3, 5) and (–1, 9).
Learn more about the System of equations:
https://brainly.com/question/12895249
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If the result of multiplying a number by 8/3 and then dividing the product by 7/2is 4/7,find the number.
Answer:
3/4
Step-by-step explanation:
[tex]\frac{x}{y} * \frac{8}{3} * \frac{2}{7} = \frac{4}{7}\\\frac{3}{4} * \frac{8}{3} * \frac{2}{7} = \frac{4}{7 }[/tex]
Which 2 teams scored a total of 100 points, red has 29 points, yellow has 38 points, Green has 41 points, blue has 76 points orange has 52 Black has 24
Answer:
Blue and Black
Step-by-step explanation:
hi! i think you're asking which of the 2 teams' points added together equal 100. if so, it would be blue and black because 76 + 24 = 100.
broken down: 70 + 20 = 90, 6 + 4 = 10, 90 + 10 = 100 :)
hope i understood this right!
Soso need help !
Plzzz n where can I find the answers to these pretest ain’t nobody got time for doin tha whole lesson lol thx xoxo
Which of the following is not a way to represent the solution of the inequality 2(x − 1) greater than or equal to −12? (1 point)
x greater than or equal to −5
x less than or equal to −5
−5 less than or equal to x
A number line with a closed circle on negative 5 and shading to the right
Answer:
x less than or equal to -5
Step-by-step explanation:
2(x-1) ≥ -12
2x - 2 ≥ -12
2x ≥ -10
x ≥ -5
If AVB has a measure of 88° and VM is its angle bisector, what is the
measure of AVM?
A. 88°
B. 22°
C. 176°
D. 44
Answer:
B. 22°
Step-by-step explanation:
Angle bisector divides an angle into two equal angles.
Angle AVM = Angle MVM = Angle AVB / 2
Angle AVM = Angle AVB / 2
Angle AVM = 88 / 4
Angle AVM = 22°
Answer:
44
Step-by-step explanation:
-
00
100
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What is the result of 6-
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100
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00
100
1
1
00
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CO
CO
0
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00
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00
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1
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James charges $4 per car plus $10 per hour in his car washing business use an equation to describe the earning he receives per car
Answer:
4c+10t
Step-by-step explanation:
c= car
t= time/ hour
