Answer:
B. [tex] {f}^{ - 1} (x) = 5x - 20[/tex]
Step-by-step explanation:
[tex]f(x) = \frac{1}{5} x + 4[/tex]
[tex]y = \frac{1}{5} x + 4[/tex]
[tex]x = \frac{1}{5} y + 4[/tex]
[tex] \frac{1}{5} y + 4 = x[/tex]
[tex]y + 20 = 5x[/tex]
[tex]y = 5x - 20[/tex]
[tex] \boxed{\green{{f}^{ - 1} (x) = 5x - 20}}[/tex]
Error Analysis jeremy incorrectly says that 2 1/8 is the same as 2.18 Convert 2 1/8 to a decimal correctly. Then explain 's likely error.
Answer:
1 divided by 8 = 0.125 let's replace the 0 with a 2 since 2 is the whole number = 2.125 is correct
Step-by-step explanation:
Jeremy has mistaken 2 1/8 as 2.18 probably because he thought 1/8 was 0.18
The correct decimal value is 2.13.
We have Jeremy who incorrectly said that [tex]2\frac{1}{8}[/tex] is the same as 2.18.
We have Convert [tex]2\frac{1}{8}[/tex] to a decimal correctly.
How will you convert the mixed fraction - [tex]5\frac{2}{3}[/tex] to normal fraction?The method to convert the mixed fraction to normal fraction is -
[tex]5\frac{2}{3}\\[/tex] = [tex]\frac{3\times 5 +2}{3} = \frac{17}{3}[/tex]
According to question, we have -
Mixed fraction = [tex]2\frac{1}{8}=\frac{17}{8}[/tex] = 2.125 = 2.13
Hence, the correct decimal value is 2.13.
To solve more questions on Error analysis, visit the link below -
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1) Convert the following to decimals:
a) 25% b) 60% c) 72.1%
d) 7%
e) 9.5%
f).66%
25% = 25% : 100% = 0,25 ← the end
60% = 60% : 100% = 0,6 ← the end
72,1% = 72,1% : 100% = 0,721 ← the end
7% = 7% : 100% = 0,07 ← the end
9,5% = 9,5% : 100% = 0,095 ← the end
66% = 66% : 100% = 0,66
for f(x) = 2x+1 and g(x)=x*2-7
find (f/g) (x).
Can someone please help me? I just need these question for finish my test.
Answer:
A. y = |x - 5| - 4
Step-by-step explanation:
The shape of the graph is a V with slope 1 on the right side and slope -1 on the left side. The parent function is y = |x|. The vertex of the V in the parent function is at (0, 0). Here, there has been a translation of the vertex to (5, -4).
The x-coordinate shifted 5 units right, or a shift of +5, and the y-coordinate shifted 4 units down, or a shift of -4.
y - k = |x - h| shows a shift of h units in x and k units in y when compared to the parent function y = |x|.
y - (-4) = |x - 5|
y + 4 = |x - 5|
y = |x - 5| - 4
Answer: A. y = |x - 5| - 4
8. Evaluate 5-3 with no negative exponents.
A. 125 B. -125
c. 1 D.
D. - 1
Answer:
5 - 3 = 2?
Explanation:
It's 2?
Can somebody tell me the domain and show me or tell me the work plz.
Answer:
Set the denom to 0 and solve.
x^2 - 16 = 0 --> x = -4,4
This means the vertical asymptote is 4, -4.
Therefor, the domain is for all real numbers that are not 4, -4.
We ignore the top because if the numerator was 0, it's still a number. But if the denom was 0, then it would be impossible (you can't divide by 0). So for all numbers that can go into the denom that aren't 0, is your domain.
Find cos(x) if [tex]\frac{sin^2x-1}{cosx} =-1[/tex].
A -1
B 2
C 1
D 0
(sin²(x) - 1)/cos(x) = -1
-cos²(x)/cos(x) = -1
-cos²(x) = -cos(x)
cos²(x) - cos(x) = 0
cos(x) (cos(x) - 1) = 0
Then it follows that cos(x) = 0 or cos(x) = 1. But if cos(x) = 0, then the original expression on the left side of the equation would be undefined. Then C is the only valid solution.
If you spend $99.79, in how many ways can you receive change from a one hundred-dollar bill?
Answer:
3 different ways
Step-by-step explanation:
100 - 99.79 = 0.21
.21 = 2 dimes and 1 penny
.21 = 4 nickels and 1 penny
.21 = 1 dimes, 2 nickels and 1 penny
The table below shows a linear relationship between x and y.
х
-4-2
0
6
у
8
5
2
-7
Which graph below represents the relationship in the table?
Sorry for asking more questions
[tex]\text{CJ}=3\text{x}+6\\\\\text{CT}=37\\\\\text{JT}=3\text{x}+7\\\\\text{CJ}+\text{JT}=\text{CT}\\\\3\text{x}+6+3\text{x}+7=37\\\\6\text{x}+13=37 \ \ /-13\\\\6\text{x}=24 \ \ /:6\\\\\text{x}=4\\\\\text{JT}=3\cdot4+7=12+7=\boxed{19}[/tex]
Maggie's brother is 11 years younger than three times her age. The sum of their ages is 41.
How old is Maggie?
Maggie is_______ years old
Answer:
Maggie is 13 years old.
Step-by-step explanation:
The explanation is attached.
How many hours? Thank you for your time.
Answer:
3/4 hours I believe so??
Solve this problem and show the steps please because I’m so confused
Answer:
= 77
Step-by-step explanation:
{3 × [tex]2^{2}[/tex] - 3} -2 × 11
Solve the brackets first
{ 3 × 4 - 3} -2 × 11
{12 - 3 } -2 × 11
9 -2 × 11
9 -22
= -13
Answer:
-13
Step-by-step explanation:
Solve in the bracket first
(3*4 -3) -2 * 11
(12 - 3) -22
9 - 22
-13 is the final answer
draw and label what in the picture
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The triangle will have the noted sides the same length. It is best if they are marked as having the same length. The names of the same-length segments tell you the a.pex is point Y.
The _____ measures the variation in the dependent variable that is explained by variables other than the independent variable in simple regression analysis .
a. total sum of squares
b. sum of squares error
c. sum of squares within
d. sum of squares regression
Solve the exponential equation: 4 1/2x=256
A) x = 4
B) x = 2
C) x= 8
OD) x= 1/2
Hi there!
We are given:
[tex]4^{\frac{1}{2}x} = 256[/tex]
We can rearrange this into a logarithm:
[tex]log_4256 = \frac{1}{2}x[/tex]
Evaluate the left side:
4 = 1/2x
Multiply both sides by 2:
x = 8
Please help will give brainly points
Answer:
-11
Step-by-step explanation:
if you put the numbers of the variebles in, it would be
-6-9+9-5
Answer:
9
-6a = 54
9x = -45
54 + (-45) = 9
Select the choice that translates the following verbal phrase correctly to algebra:
the difference of m and 7 increased by 15
m − (7 + 15)
7m + 15
(m − 7) + 15
m − 7 ÷ 15
Answer:
(m − 7) + 15
Step-by-step explanation:
A garage sale has a total of 48 shirts
and 6 jackets for sale. Select the
answer that shows the ratio of shirts
compared to jackets in simplest form.
Answer:
d
Step-by-step explanation:
48/6=8
8/1
The elevation of Lake Baikal is about 1,494 feet below sea level. Which integer represents this elevation?
Answer:
-1,494
Step-by-step explanation:
If sea level is 0, the on a scale below sea level would be a negative integer.
10. The perimeter of square A is 3 times the perimeter of square B. What is the rat of the area of square A to the area of square B.
Answer:
9 times
Step-by-step explanation:
Area of A is 3² or 9 times the area of square B
using the recursive definition for the following arithmetic sequence, find the second, third, and fourth terms of the sequence. then writes the explicit formula that represents the sequence.
Step-by-step explanation:
[tex]A(2)=A(2-1)+6=A(1)+6=12+6=18[/tex]
An old principle of public landscaping says "build sidewalks last." In other words, let
the people find their chosen paths and then build the sidewalks on the paths. The
picture below shows a campus quadrangle that measures 40 meters by 30 meters.
The path between each building is an illustration of Pythagoras theorem.
The sidewalk between library and humanities is 21.21 metersThe sidewalk between chemistry and humanities is 29.15 metersThe sidewalk between chemistry and humanities is 36.06 metersSee attachment for a copy of the given image.
The sidewalk between library and humanities
This is represented with (a).
The value of (a) will be calculated using Pythagoras theorem.
So, we have:
[tex]a^2 = 15^2 + 15^2[/tex]
[tex]a^2 = 450[/tex]
Take square roots
[tex]a = 21.21[/tex]
Sidewalk between chemistry and library
This is represented with (d).
First calculate the value of (b) and (c)
[tex]c + 15 = 30[/tex]
So:
[tex]c = 15[/tex]
Also:
[tex]b + 15 = 40[/tex]
So:
[tex]b = 25[/tex]
The value of (d) will be calculated using Pythagoras theorem.
[tex]d^2 = b^2 + c^2[/tex]
[tex]d^2 = 25^2 + 15^2[/tex]
[tex]d^2 = 850[/tex]
Take square roots
[tex]d = 29.15[/tex]
The sidewalk between chemistry and humanities
This is represented with (e).
The value of (e) will be calculated using Pythagoras theorem.
[tex]e^2 = d^2 + a^2[/tex]
[tex]e^2 = 850 + 450[/tex]
[tex]e^2 = 1300[/tex]
Take square roots
[tex]e = 36.06[/tex]
Learn more about Pythagoras theorem at:
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You take a package to your local shipping company. They charge a fixed base cost of 6 per package plus an additional 0.39 per pound If p represents the number of pounds and c is the total cost of shipping your package write the linear equation that represents the relationship between pans c
Answer:
c = 6 + 0.39p or c = 0.39p + 6
Step-by-step explanation:
p = #pounds
c = total cost to ship
cost c = $6 + $0.39p ($6 flat fee + $0.39 per pound)
Answer:
C=0.39P+6
Step-by-step explanation:
0.39 is per pound, 6 is the fixed charge
Find the value of x
50
x
Choose all expressions that are equal to 5.
31÷6.2
27.6÷5.2
18.6÷4
6÷2.1
20.1÷4.1
Answer:
without rounding, only the 1st one would be equal to 5
Step-by-step explanation:
31÷6.2=5
27.6÷5.2=5.307...
18.6÷4=4.65
6÷2.1=2.8
20.1÷4.1=4.9
BUT HEY, I HAVE PARANOIA AND THIS TIME I DIDNT CHECK LIKE A DOZEN TIMES SO MAYBE IM WRONG
oh and i forgot to say have a nice day or night or etc and good luck!
Answer:
31 / 6.2 = 5
Step-by-step explanation:
31/6.2 = 5
27.6/5.2 = 5.3
18.6/4 = 4.65
6/2.1 = 2.86
20.1/4.1 = 4.90
the height of tower A is 842 feet more than tower B. the two towers have a combined height of 1,920 feet. what are the heights of each tower
Which of the following is equal to the rational expression when x ≠ -1 or -7?
(X+1)(x-1)
——————
(X+7)(x+1)
A. x+1
——
x+7
B. x+7
———
x-1
C. x-1
——
x+7
9514 1404 393
Answer:
C. (x -1)/(x +7)
Step-by-step explanation:
The factor (x +1) in the numerator cancels the same factor in the denominator, leaving the ratio (x -1)/(x +7). This matches choice C.
_____
Additional comment
Even though (x+1)/(x+1) = 1 and can be removed from the expression, the fact that it is undefined at x=-1 means the reduced ratio (x-1)/(x+7) is only a valid representation of the original ratio when x≠-1. The factor (x+1) may be gone, but the domain restriction associated with it remains.
plz help!!!!!!!!!!!!!!!!!!!
Answer:
X= 30
y= 10
Step-by-step explanation:
(2x+90)=5x ( Opposite angles)
2x+90=5x
5x-2x= 90
3x=90
x=90/3
x= 30°
5x =5(30)=150
2x+90=2(30)+90=60+90=150
3y+150=180
3y=180-150
3y=30
y=30/3
y=10
I hope I helped you^_^
Answer:
Step-by-step explanation:
Let A = {a, b, c, d}, B = {a, c, d, e}. Let f : A → R and g : B → R such that f = {(a, 1),(b, 2),(c, 2),(d, 4)} and g = {(a, 0),(c, 4),(d, 8),(e, 0)}. State the domain and find: f − g
Answer:
b, but don't have translate into a great day. I name and phrase, angle of measurementhhvgz just don't have money in a sentence, and the king not sure how it was a great app that is