Answer:
The inverse is 1/4x
Step-by-step explanation:
f(x) = 4x
y = 4x
Exchange x and y
x = 4y
Solve for y
Divide each side by 4
1/4x = 4y/4
1/4x = y
The inverse is 1/4x
Answer:
y=(1/4)*x
Step-by-step explanation:
to inverse set f(x)=4x
as y=4x
next, change places y and x
4y=x
now, solve for y
4y=x
y=(1/4)*x
triangle jkl is similar to triangle tuv. find the missing side length of triangle tuv. JK=10in JL=8in KL=13in TU=7.5 UV=9.75 find TV
Answer:
TV=6 inch
Step-by-step explanation:
If Triangle JKL is similar to Triangle TUV, the following ratio applies.
[tex]\dfrac{JK}{TU}= \dfrac{KL}{UV}=\dfrac{JL}{TV}\\$JK=10in., JL=8in., KL=13in., TU=7.5., UV=9.75\\\dfrac{10}{7.5}= \dfrac{13}{9.75}=\dfrac{8}{TV}\\$Picking any two equal ratios\\ \dfrac{13}{9.75}=\dfrac{8}{TV}\\$Cross multiply\\13*TV=8*9.75\\TV=8*9.75 \div 13\\$TV=6 inch[/tex]
It is 4 : 12 p.M. 4:12 p.M.4, colon, 12, start text, space, p, point, m, point, end text Emma's mom will be home from work in 70 7070 minutes, and Emma has gymnastics lessons at 6 : 00 p.M. 6:00 p.M.6, colon, 00, start text, space, p, point, m, point, end text How much time will Emma have between the time that her mom gets home from work and the beginning of gymnastics lessons?
Answer:
40 Minutes.
Step-by-step explanation:
The current time = 4:12 p.M.
Emma's mom will be home from work in 70 minutes.
70 minutes = 1 hour 10 Minutes= 1: 10 Hours
[tex]\left\begin{array}{ccccc}&4&:&12 &p.m.\\+&1&:&10&\\--&--&--&--&--\\&5&:&22&p.m\end{array}\right[/tex]
Therefore, Emma's Mom will get home by 5: 22 p.m.
Emma has gymnastics lessons at 6 : 00 p.M.
To determine how much time Emma will have between the time that her mom gets home from work and the beginning of gymnastics lessons, we simply subtract 5:22 from 6.
[tex]\left\begin{array}{ccccc}&6&:&00 &p.m.\\-&5&:&22&\\--&--&--&--&--\\&00&:&40&\end{array}\right[/tex]
Emma will have 40 Minutes.
Answer:
38
Step-by-step explanation:
70 mins
=60 mins+10 minutes
=1 hour+10 mins
=1 hour and 10 mins
Hint #22 / 5
\begin{aligned} &4{:}12 + \greenD{1\text{ hour}}=5{:}12\\\\ &5{:}12 +\purpleD{10\text{ minutes}}=5{:}22 \end{aligned}
4:12+1 hour=5:12
5:12+10 minutes=5:22
Emma's mom will be home at 5{:}22\text{ p.m.}5:22 p.m.5, colon, 22, start text, space, p, point, m, point, end text
How much time will Emma have between 5{:}22\text{ p.m.}5:22 p.m.5, colon, 22, start text, space, p, point, m, point, end text and the beginning of gymnastics lessons at 6{:}00\text{ p.m.}?6:00 p.m.?6, colon, 00, start text, space, p, point, m, point, end text, question mark
Hint #44 / 5
\blueD{8}\text{ mins} + \maroonD{30}\text{ mins} = 38\text{ mins}8 mins+30 mins=38 minsstart color #11accd, 8, end color #11accd, start text, space, m, i, n, s, end text, plus, start color #ca337c, 30, end color #ca337c, start text, space, m, i, n, s, end text, equals, 38, start text, space, m, i, n, s, end text
Hint #55 / 5
Emma will have 38 minutes between the time that her mom gets home from work and the beginning of gymnastics lessons. FROM KHAN ACADEMY THO.
You work at a clothing store, and your boss wants you to find out which type
of shirt had the highest percentage of sales.
You found that 13 out of 20 tank tops were sold, and 15 out of 25 T-shirts
were sold.
Which percent represents the type of shirt with the greater percentage sold?
A. 15%
B. 13%
C. 60%
D.65%
I NEED HELP! WILL BE GIVING BRAINLIEST TO THE CORRECT ANSWER + 30 POINTS!!!!
Answer:
l = 20 cm
w = 12 cm
Step-by-step explanation:
P = 64 = 2w + 2l
2w = 4 + l
64 = 4 + l + 2l
64 - 4 = 3l
3l = 60
l = 20 cm
2w = 20 + 4
2w = 24
w = 12 cm
profit on the dead
(a) A man bought two books for Rs 1040. He sold one at a loss of 15% and other at a profit of
36%
then he found that each book was sold for the same price. Find the cost price of each book.
Answer:
640 and 400
Step-by-step explanation:
Cost of books: x and 1040 -x
x sold at a loss of 15%= 0.85 x
1040 -x sold at a profit of 36% = (1040 - x)*1.36
x*0.85= (1040-x)*1.360.85x+1.36x= 1040*1.362.21x= 1414.4x= 1414.4/2.21x= Rs. 640Rs. 1040 - x= R. 400What is 3(4a−3)−(6a+5)? (Thank you to everyone for their hard work!)
Answer:
6a−14
Step-by-step explanation:
Answer:
[tex]=6a-14[/tex]
Step-by-step explanation:
[tex]3\left(4a-3\right)-\left(6a+5\right)\\\mathrm{Expand}\:3\left(4a-3\right):\quad 12a-9\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\\mathrm{Simplify}\:3\cdot \:4a-3\cdot \:3:\quad 12a-9\\=12a-9\\-\left(6a+5\right):\quad -6a-5\\=12a-9-6a-5\\\mathrm{Simplify}\:12a-9-6a-5:\quad 6a-14\\=6a-14[/tex]
The slope of the rafter is 15 m.Half the run of the rafter measure 12m.find the height of the ridge from the base
Answer:
[tex]9\; \rm m[/tex].
Step-by-step explanation:
Assume that the run of this rafter is level. Then the height of the ridge (the line with a question mark next to it in the diagram) should be perpendicular to the line marked with [tex]\rm 12\; m[/tex]. The three labelled lines in this diagram will form a right triangle.
The line marked as [tex]15\; \rm m[/tex] will be the hypotenuse of this right triangle.The line marked as [tex]12\; \rm m[/tex] will be one of the triangle's legs.The line representing the height of the ridge (the one with the question mark) will be the other leg of this right triangle.Hence, the height of this ridge can be found with the Pythagorean Theorem. By the Pythagorean Theorem:
[tex](\text{First Leg})^2 + (\text{Second Leg})^2 = (\text{Hypotenuse})^2[/tex].
In this particular right triangle:
[tex](\text{Height})^2 + (12\; \rm m)^2 = (15\; \rm m)^2[/tex].
[tex](\text{Height})^2 = (15\; \rm m)^2 - (12\; \rm m)^2[/tex].
Therefore, the height of this ridge would be [tex]\sqrt{81}\; \rm m = 9\; \rm m[/tex]. (Note the unit.)
Simplify 18x2y/27xy3z
Answer: 2/3xy^-2z
Step-by-step explanation:
18/27 = 2/3
x^2 / x = x
y / y^3 = y^-2
z isn’t changed
Put the variables together after dividing and you get 2/3xy^-2z.
Step-by-step explanation:
do you mean like this?
18x²y/27xy³z =
if yes the answer is like this
18/27 = 2/3
x²/x = x
y/y³ = 1/y²
1/z = 1/z
multiply all and that's the answer
⅔ * x * 1/y² * 1/z =
[tex] \frac{2x}{3 {y}^{2} z} [/tex]
Simplify 12 square root of 7
Answer:
Step-by-step explanation:
[tex]12\sqrt{7}\\=31.74901[/tex]
A train covers 240 Km in 3 hours. How much distance will it cover in 1 ¾ hours? *
Answer: 140 km
Step-by-step explanation:
240 km in 3 hours
1 3/4 hours = (1 3/4 / 3) x 240
= (7/4 / 3) x 240
= 7/12 x 240
= 7 x 20 = 140
When given a graph, the vertical line test can be used to determine functionality. Describe the vertical line test and explain the reasons why a graph would, or would not, represent a function.
Answer:
The vertical line test is a way for you to see if a graph represents a function. It allows you to identify if any x values have more than one y value.
A graph would be a function if every input (x) has exactly one output (y). A graph would not be a function if an input (x) has more than one output (y).
Step-by-step explanation:
In a function, every input within the domain of the function must have exactly one output. If the graph has an input that has more than one output, then it is not a function. The vertical line test is what allows you to see if a graph is a function or not.
Answer:
When given a graph, the vertical line test can be used to determine functionality. The vertical line test would represent a function if no more than one point of the graph of a relation, this shows that only one output value for each input value. If this doesn't apply or more than one point is on the line then it would not represent a function.
Step-by-step explanation:
Draw vertical lines to intersect on a graph.
The relation is a function if there’s only one point of intersection on a graph.
The relation is not a function if there’s more than one point of intersection on a graph.
The vertical line test is used to determine if each input has exactly one output.
Which translation maps the graph of the function f(x)=x2 onto the function g(x)=x2+_2x+6?
Answer:
idk
Step-by-step explanation:
Find the third side in simplest radical form
=========================================================
Work Shown:
We see that one of the legs is unknown. We'll call this 'a'.
The other leg is b = 2, which becomes b^2 = 4
The hypotenuse (always opposite the 90 degree angle) is c = sqrt(58). This turns into c^2 = 58 when you square both sides.
---------
Use the pythagorean theorem to get
a^2+b^2 = c^2
a^2+4 = 58
a^2 = 58-4
a^2 = 54
a = sqrt(54)
a = sqrt(9*6)
a = sqrt(9)*sqrt(6)
a = 3*sqrt(6)
The third side in simplest radical form is x=3[tex]\sqrt{6}[/tex]
RIGHT TRIANGLEA triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called the hypotenuse. And, the other two sides are called cathetus or legs.
The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios, metric relationships, or the Pythagorean Theorem.
For solving this question, you need to apply the Pythagorean Theorem that says: (hypotenuse)²= (leg1)²+(leg2)².
The question gives:
Hypotenuse= [tex]\sqrt{58}[/tex]Leg1= 2Leg2= third side = unknowApplying the Pythagorean Theorem, you have:
([tex]\sqrt{58}[/tex])² = 2²+ x²
58=4+x²
x²=58-4
x²=54
x=[tex]\sqrt{54}[/tex]
x=[tex]\sqrt{2*3^3}[/tex]
x=[tex]\sqrt{2*3^2*3}[/tex]
x=3[tex]\sqrt{2*3}[/tex]
x=3[tex]\sqrt{6}[/tex]
Learn more about the Pythagorean theorem here:
brainly.com/question/11528638
#SPJ6
f=
4m + 3
m – 1
make m the subject
Answer:
m = [tex]\frac{f+1}{7}[/tex]
Step-by-step explanation:
f = 4m + 3m -1
f = 7m - 1
Adding 1 to both sides
f+1 = 7m
Dividing both sides by 7
m = [tex]\frac{f+1}{7}[/tex]
Answer:
m= (f+3)/(f-4)
Step-by-step explanation:
It is not clear from the question, but I assume it is:
f= (4m+3)/(m-1)so the solution is:
f= (4m+3)/(m-1)f(m-1)=4m+3fm-f= 4m+3fm- 4m= f+3m(f-4)= f+3m= (f+3)/(f-4)A line has the equation y=x+3
What are the coordinates of the point where the line intersects the y and x axis?
Answer:
(0, 3 ) and (- 3, 0 )
Step-by-step explanation:
Where the line crosses the y- axis the x- coordinate is zero.
Substitute x = 0 into the equation and solve for y
y = 0 + 3 = 3
Thus the y- intercept is (0, 3 )
Where the line crosses the x- axis the y- coordinate is zero.
Substitute y = 0 into the equation and solve for x
0 = x + 3 ( subtract 3 from both sides )
- 3 = x
Thus the x- intercept is (- 3, 0 )
What is the value of m in the equation 1/2 m - 3/4 n equals 16 when n equals 8
Answer:
m =44
Step-by-step explanation:
1/2 m -3/4 n = 16
Let n =8
1/2 m - 3/4(8) = 16
1/2 m - 6 = 16
Add 6 to each side
1/2 m -6+6 = 16+6
1/2 m = 22
Multiply each side by 2
m = 22*2
m = 44
Answer:c
Step-by-step explanation:
Suppose the 3 schools have succeeded in raising
the following amounts of money on day 7:
School A: $5,400, School B: $5,600, School C:
$3,800. Which statement is true?
Click on the correct answer.
School B is below its goal.
School C is at its goal.
School A is above its goal.
Answer:
school b
Step-by-step explanation:
it has more
Answer:
School C
Step-by-step explanation:
It got more than its original amount
PLLLSSSSSS HURRRYYYY To convert Celsius temperatures to Fahrenheit, you can use the expression 9/5 (C + 32). Tom says that another way to write this expression is 9/5 C + 32. What error did Tom make?
A. Tom did not make an error.
B. Tom should have simplified the fraction .
C. Tom did not distribute to both terms in parentheses.
D. Tom should have added inside the parentheses before multiplying.
Answer:
C.
Step-by-step explanation:
If you are distributing, you must distribute the outside to both terms in the inside.
Is the following relation a function?
Yes
No
Which of the following is a solution of y - x > -3? (2, -1) (6, 2) (2, 6)
Answer: (2, 6)
Step-by-step explanation:
y - x > -3
x coordinate is 2 and y coordinate is 6
Plug in the x and y coordinates
6 - 2 = 4
4 > -3
Let D be the set of all students at GSU students, and let M(s) be 's is a math major," let C(s) be s is a computer science student," and let E(s) be "s is an engineering student." Express each statement using quantifiers, variables, and the predicates M(s), C(s), and E(s). a. No computer science students are engineering students. b. Some computer science students are also math majoers.
Answer:
Step-by-step explanation:
Recall the logic quantifiers [tex]\forall, \exists[/tex] which means for all/for every and exists.
a) This means that for every student in D that is a computer science this implies that the student is not an engineering student. So for a student s in D such that C(s) then E(s) is false. This is symboled by
[tex]\forall s \in D C(s) \implies \neg E(s)[/tex]
b) By saying "some computer science students" this means that there exists some studenst that study computer science and are also math majors. This is symboled by
[tex]\exists s \in D C(s)\land M(s) [/tex]
A bus travels the 240 miles from Boston to New York. It departs at 11:00 a.m. and arrives in New York at 3:00 p.m. What is the average speed of this bus?
Answer: 60miles/hours
Step-by-step explanation:
From the question, a bus travels the 240 miles from Boston to New York and the bus departs at 11:00 a.m. and arrives in New York at 3:00 p.m. The time taken by the bus is (3:00pm - 11:00am) = 4 hours.
Average speed = Distance/Time
Average speed =240miles/4 hours
Average speed= 60miles/hours
The the average speed of this bus is 60miles/hour.
Solve x2 = 12x - 15 by completing the square. Which is the solution set of the equation?
O {-6 -51-6 +51)
O {-5 - 721, -6 + 21}
O {6 - V51,6 + 51}
O {6 - 21,6 + 721)
Answer:
(6-√21, 6+√21)
Step-by-step explanation:
x^2 - 12x = -15
(x - 6)^2 - 36 = -15
(x - 6)^2 = 21
x - 6 = ± √21
x = 6 ± √21
The solution set of the given equation is (6-√21, 6+√21)
Given is an equation, x² - 12x = -15 we need to solve it by completing the square.
Solving the equation,
x² - 12x = -15
(x - 6)² - 36 = -15
(x - 6)² = 21
x - 6 = ± √21
x = 6 ± √21
Therefore, the solution set is (6-√21, 6+√21)
Learn more about equations, click;
https://brainly.com/question/29657983
#SPJ7
Which of the following expressions represents the area, in square meters, of the regular decagon (10-sided polygon) with 3.25 meter-sides and a 5-meter apothem.
Answer:
A = P * a / 2
A = 81.25
Step-by-step explanation:
We have that there is a corresponding formula for a regular decagon, which depends on the apothem and the perimeter, it is the following:
A = P * a / 2
In this case, the perimeter is the sum of all the sides, that is, 10 sides, therefore:
P = 10 * 3.25
P = 32.5 meters
We replace:
A = 32.5 * 5/2
A = 81.25
Which means that for that regular decagon, the area is 81.25 square meters.
Please help!!!!!! !!!!!!!!!!!!!!!!
Answer:
Yes
Step-by-step explanation:
Yes because there is only 1 y value per x value.
Answer:
yes
Step-by-step explanation:
There is a one to one correspondence and this will pass the vertical line test
Solve for y: 5-3y - 8y = 121 *
Answer:
y= -116/11
Step-by-step explanation:
5-3y-8y=121
5-11y=121
5-5-11y=121-5
-11y=116
-11y/-11=116/-11
y= -116/11
PLEASE HELP ME I NEED HELP
Answer:
Step-by-step explanation:
V = 4/3(π)(3)^3
V= 4/3(27)π
V= 36π
V = 113.1 cm^3
4
1 The senior class is selling T-shirts for a fundraiser. The graph below shows the profit, in
dollars, the senior class will earn based on the number of T-shirts sold.
Senior Class Fundraiser
y
1601
140!
1201
1001
Profit (dollars)
80F
60
40
20
Y
10 20 30 40 50 60 70 80
T-Shirts Sold
What is the slope of the line shown in this graph?
A $4 per shirt
B$2 per shirt
С$0.50 per shirt
D$0.25 per shirt
Answer: A.) $4 per shirt
Step-by-step explanation:
Slope of the graph is calculated as the ratio or proportion of chasing ein the y and x axis of a graph.
Slope(m) = [change in y / change in x]
One can draw a right angle triangle to meet the line of best fit provided in the graph to obtain the values for both the y and x axis.
HERE,
y2 = 120, y1 = 40 and x2 = 50, x1 = 30
Slope = (y2 - y1) / (x2 - x1)
Slope = (120 - 40) / (50 - 30)
= 80/20
Slope = 4
$4 per shirt
Pls Halp...
Rewrite the expression as a sum of terms, where each term is in the form k*a^n.
sqrt( a ) ( 2a^2 - 4/a )
Answer:
The expression as a sum of terms is [tex]2\cdot a^{\frac{3}{2} } - 4\cdot a^{-\frac{1}{2} }[/tex].
Step-by-step explanation:
The expression to be rewritten has the following form:
[tex]\sqrt{a} \cdot (2\cdot a^{2}-\frac{4}{a} )[/tex]
A polynomial as a sum of terms consists in a sum of terms of the form [tex]c_{i} \cdot a^{k(i)}[/tex], where [tex]c_{i}[/tex] and [tex]k_{i}[/tex] are the i-th coefficient and exponent. The expression has to be expanded to create the sum of terms:
[tex]a^{\frac{1}{2} }\cdot (2\cdot a^{2} - 4\cdot a^{-1})[/tex]
[tex]2\cdot a^{1 + \frac{1}{2} } - 4\cdot a^{-1+\frac{1}{2} }[/tex]
[tex]2\cdot a^{\frac{3}{2} } - 4\cdot a^{-\frac{1}{2} }[/tex]
The expression as a sum of terms is [tex]2\cdot a^{\frac{3}{2} } - 4\cdot a^{-\frac{1}{2} }[/tex].
Please help. I will be constantly asking questions on the app to finish a class and i only have a day
Answer: C [tex]0\leq y\leq 5[/tex]
Step-by-step explanation: