Simple way :-
If a function has co-ordinates (x,y) then it's inverse has co-ordinates (y,x)
Now
(0,4)->(4,0)(1,6)->(6,1)(2,8)->(8,2)(3,10)->(10,3)Sven participates in his employer’s 401k plan. His annual salary is $52,000. Sven contributes 7.5% of his annual salary. His employer matches his contributions up to 5% of his salary. How much money will be contributed to Sven’s plan for one year?
Answer:
$ 6,500
Step-by-step explanation:
(52,000)(0.075)+(52,000)(0.05) = 3,900 + 2,600
= 6,500
A cylinder closed tin of radius r cm is made from 600cm2 tin sheet of metal.
a.show that it’s height h cm is given by h =300- pi r /pi r
Answer:
Note: The expression "h =300- pi r /pi r" would equate to 299, as written. I find h = (300 - π[tex]r^{2}[/tex] )/πr to be the equation for height.
Step-by-step explanation:
The total surface area of a sylinder is 2πr(h+r) where h is the height and r is the radius. That consists of top and bottom disks, each with an area of π[tex]r^{2}[/tex], for a total of 2π[tex]r^{2}[/tex]. The side is a continous sheet that has an area of 2πrh, where h is the height. 2πr is the circumference of the can, so the surface area of the side is 2πrh.
The total surace area of a closed cylinder is therefore 2π[tex]r^{2}[/tex] + 2πrh.
2π[tex]r^{2}[/tex] + 2πrh = 600
π[tex]r^{2}[/tex] + πrh = 300
πrh = 300 - π[tex]r^{2}[/tex]
h = (300 - π[tex]r^{2}[/tex] )/πr
When Zack checked his solution, it didn’t work. What was his mistake?
In step 1, he should have used the multiplication property of equality.
In step 2, he should have a constant of – 4 on the right side.
In step 3, he should have divided both sides by StartFraction 6 Over 4 Endfraction.
In step 4, the answer should be positive.
Answer: its c In step 3, he should have divided both sides by StartFraction 6 Over 4 Endfraction.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Compute the average rate of change of f(x)=(x+4)/(x-3) over the interval [5,7].
A)4/3
B)7/8
C)-7/8
D)-4/3
(Image attached below)
Answer:
C) - 7/8Step-by-step explanation:
Average rate of change is:
[f(7) - f(5)]/(7 - 5)Find the values and substitute into expression:
f(7) = (7 + 4)/(7 - 3) = 11/4f(5) = (5 + 4)/(5 - 3) = 9/2 = 18/4Find the rate of change:
(11/4 - 18/4)/2 = (-7/4)/2 = - 7/8Correct choice is C
If 2 coins can be exchanged for 3.3782 dubloons, how many dubloons can be obtained for 9 coins?
(Round to the nearest hundredth)
Answer:
5.33
Hope this helps
The value of
[tex]2 + \frac{1}{2 + \frac{1}{2 + \frac{1}{2 + ... \infin} } } \: is \\ [/tex]
Given answer with step by step explanation.
[tex]\large\underline{\sf{Solution-}}[/tex]
We have to find out the value of the fraction.
Let us assume that:
[tex] \sf \longmapsto x =2 + \dfrac{1}{2 + \dfrac{1}{2 + \dfrac{1}{2 + ... \infty} } } [/tex]
We can also write it as:
[tex] \sf \longmapsto x =2 + \dfrac{1}{x} [/tex]
[tex] \sf \longmapsto x =\dfrac{2x + 1}{x} [/tex]
[tex] \sf \longmapsto {x}^{2} =2x + 1[/tex]
[tex] \sf \longmapsto {x}^{2} - 2x - 1 = 0[/tex]
Comparing the given equation with ax² + bx + c = 0, we get:
[tex] \sf \longmapsto\begin{cases} \sf a =1 \\ \sf b = - 2 \\ \sf c = - 1 \end{cases}[/tex]
By quadratic formula:
[tex] \sf \longmapsto x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
[tex] \sf \longmapsto x = \dfrac{2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 1)} }{2 \times 1} [/tex]
[tex] \sf \longmapsto x = \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1} [/tex]
[tex] \sf \longmapsto x = \dfrac{2 \pm \sqrt{8} }{2} [/tex]
[tex] \sf \longmapsto x = \dfrac{2 \pm2 \sqrt{2} }{2} [/tex]
[tex] \sf \longmapsto x = 1 \pm\sqrt{2}[/tex]
[tex] \sf \longmapsto x = \begin{cases} \sf 1 + \sqrt{2} \\ \sf 1 - \sqrt{2} \end{cases}[/tex]
But "x" cannot be negative. Therefore:
[tex] \sf :\implies x = 1 + \sqrt{2}[/tex]
So, the value of the fraction is 1 + √2.
just click on the image
the difference of complementary angles is 10 degree. find the measures of the angles.
Answer:
40° and 50°
Step-by-step explanation:
90=(x+10)+x
90=2x+10
80=2x
40=x
Therefore the answer is,
40 and 40+10
40° and 50°
Answer:
50° and 40°
Step-by-step explanation:
Complementary angles sum to 90°
let one angle be x then the other is x - 10
x + x - 10 = 90
2x - 10 = 90 ( add 10 to both sides )
2x = 100 ( divide both sides by 2 )
x = 50
x - 10 = 50 - 10 = 40
The angle measures are 50° and 40°
Given that BD ~ BC, find m
A. 54
B. 57
C. 64
D. 66
Answer:
b
Step-by-step explanation:
Answer:
B) 57
Step-by-step explanation:
since BD ≅ BC then ∡C = ∡D
6x-9 = 3x + 24
subtract 3x from each side to get:
3x-9 = 24
add 9 to each side to get:
3x = 33
divide each side by 3 to get:
x = 11
substitute 11 into 'x' in 3x + 24 to get:
3(11) + 24 = 33+24 = 57
check:
substitute 11 into 'x' in 6x - 9 to get:
6(11) - 9 = 66 - 9 = 57
oliver sewed a quilt 3 2/3 feet long and 2 1/4 feet wide. what is the area of her quilt?
Answer:
8.25 feet
Step-by-step explanation:
3 2/3 times 2 1/4 equals 8.25
y=f(x)=x+3÷2,x€{1,5,-3
Answer:
Yo use gauth mathhhhhhh
how many solutions exist for the given equation?
1/2 (x + 12)= 4x - 1
zero
one
two
infinitely many
Answer:
1
Step-by-step explanation:
as the maximum degree is 1
cheryis softball batting average in 0.340 and karins is 0.304 kartin says they have the same avarge what error did she make explain
what the frige please help
Answer:
Your answer is A, 3x - 2x.
Step-by-step explanation:
Triple a number means to multiply it by 3.
Double a number means to multiply it by 2.
Difference means to subtract.
Hope this helps!
Answer:cim not sure tho
Step-by-step explanation:
What is m∠1? m∠1 =
?
Step-by-step explanation:
m<1(exterior angle) = (sum of two opposite interior angle) 50+70 = 120°.
hope this helps you.
Answer:
120 degrees
Step-by-step explanation:
50 + 70 = 120
180 - 120 = 60
180 - 60 = 120 degrees
Use synthetic division to find the result when 4x^3+3x^2– 8x – 7 is divided by x+1.
You buy 6 items for $25.60. About how much did you spend?
Answer:
$4.20 i divided
Step-by-step explanation:
Answer:
156
Step-by-step explanation:
The question says about. So you have to Round 25.60. Since the 0.60 part is greater than 0.50, we round it up to 1. Now add 25 and 1 to get 26. Now multiply 26 x 6 to get your answer (156)
here does the line y = 2x + 7 cross the y-axis?
at x = 7
at y = 2
at x = 2
at y = 7
Answer:
at y = 7
Step-by-step explanation:
When the line cross at the y-axis, x = 0
y = 2*0 + 7
y = 0 +7
y = 7
What is the answer to (66*47)+(85*68)=t?
?
Answer:3102+5780=8882
Step-by-step explanation:
what is 4x+2=-12+6x?????????
Answer:
x=7
Step-by-step explanation:
How do you line graph Y equals 7X -8
Answer:
x
y
0
−
8
8
7
0
Graph the line using the slope and the y-intercept, or the points.
Slope:
7
y-intercept:
(
0
,
−
8
)
Step-by-step explanation:
MARK ME AS BRAINLIEST
Expand and simplify
Z(2z+1)+z(4z+5)
Answer:
Z(2z+1)+z(4z+5)
[tex]2 {z}^{2} + z + 4 {z}^{2} + 5z[/tex]
[tex]6 {z}^{2} + 6 {z}[/tex]
[tex]6z(z + 1)[/tex]
According to the graph, what is the value of the constant in the equation below?
Answer:
0.8
Step-by-step explanation:
just use guess and check. Divide each of the constants by the width of one point. When you find a constant that matches, try that out with all the other widths, if it works with the other widths, then you found the right constant!
a³-a²b-ab²+b³hihihihihihihi
A small bookstore sold between 5 and 8 books each day for 7 days. Tell whether the graph is continuous or discrete.
Answer:
i think the answer is contionous
a girl that is 5ft tall casts a shadow 4ft long. at the same time, a tree casts a shadow 24 ft long. how long is the tree?
Answer:
25 Feet
Step-by-step explanation:
Im sorry if i am wrong, but it is 25 because the girl is 5 feet, and one feet less of a shadow. So it is obvious to me that the tree is 1 foot larger.
hi help pls will mark as brainlist!!!!!!!!!
Answer:
The answer would be B.) 30.
Step-by-step explanation:
If it took 15 workers 20 day, and you want to split it so it gets done in 10 days, you would want 15 more workers to get the job done quicker, doing this would have you a total of 30 workers.
What is the sum of 6 4/5 and 6 4/5?
A. 12 4/5
B. 29/5
C. 0
D. -12 4/5
[tex]\bf6 \frac{4}{5} + 6 \frac{4}{5} = (6 + 6) \frac{4}{5} = 12 \frac{4}{5} [/tex]
________
6 4/5 + 6 4/5 = ...
= (6 × 2)4/5
= 12 4/5 (A.)
Please help me I am very confused and I can’t get it wrong!!!!
Answer:
The answer that you are looking for is b
what is 5713 – 75 =
show your workings out
Answer:
5713 - 75
= 5638
Step-by-step explanation:
brainliest plz