Answer:
[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{2x}{7} + 4[/tex]
Required
The inverse function
[tex]f(x) = \frac{2x}{7} + 4[/tex]
Replace f(x) with y
[tex]y = \frac{2x}{7} + 4[/tex]
Swap x and y
[tex]x = \frac{2y}{7} + 4[/tex]
Multiply through by 7
[tex]7x = 2y + 28[/tex]
Solve for 2y
[tex]2y = 7x - 28[/tex]
Solve for y
[tex]y = \frac{ 7x-28}{2}[/tex]
Factorize
[tex]y = \frac{ 7(x-4)}{2}[/tex]
Write as:
[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]
Estimate the sum by rounding each number
to the nearest hundredth: 0.052 +0.028
A 0.06
B 0.08
0.09
D 0.07
Answer:
B is the answer to the question.
Step-by-step explanation:
Patricia needs 2 pints of purple icing to decorate cupcakes. She will use the following recipe for 1 pint of purple icing.
· 1 pint of white icing
· 4 1/4 teaspoons of blue food coloring
· 2 1/2 teaspoons of red food coloring.
Explain two different ways for Patricia to find the total number of teaspoons of blue and red food coloring necessary to make the 2 pints of purple icing. (Do not solve the problem.)
Answer:
double
Step-by-step explanation:
double the teaspoons so you can get the amount you need for 2 pints
double the amount and then divided it
1
K
N
M
If I and Mo are parallel lines and mZIKI = 42°, what is mZMNP?
Please solve and hurry
Answer:
225°
Step-by-step explanation:
[tex] \frac{5\pi}{4} = \frac{5 \times 180 \degree}{4} = \frac{900 \degree}{4} = 225 \degree \\ [/tex]
What is the mortgage loan value on a $375,000 home if 20% is paid as a
down payment?
$325000
$375000
$75000
$300,000
Answer:
$300000
Step-by-step explanation:
down-payment would $75000 so minus it from $375000 to get the mortgage
Answer:300000
Step-by-step explanation:
375000/100 =3750
1 percent = 3750
20 percent = 3750*20=75000
375000-75000= 300000
If it is helpful t
Ms. Green has 3 % yards of fabric. One bandana requires 1/4 of a yard of fabric. How many bandanas can
she make until she runs out of fabric?
Answer:
12
Step-by-step explanation:
number of bandana that can be made = total yards of fabric ÷ yards needed to make one bandanna
3 ÷ 1 /4
= 3 x 4 = 12
A recipe calls for 8 ounces of fruit juice for every 32 ounces of soda. How much soda should you use if you use 16 ounces of fruit juice? DO NOT FORGET THE UNITS!
Answer:
64 ounces of soda
Step-by-step explanation:
for every 8 ounces you need 32 ounces of soda and 16 would be two servings of fruit juice so I multiplied 32 by 2 and got 64
1
Circle C has radius 5 and center C(6,-2).
Find the equation of circle C.
A (x + 6)2 + (y - 2)2 = 5
B (z - 6)2 + (y + 2)2 = 5
© (x+6)2 + (y - 2)2 = 25
D (z - 6)2 + (y + 2)2 = 25
Surface area of a triangular prism
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
13 in
12 in
5 in
6 in
What is the value oh x?
Answer:
x
Step-by-step explanation:
djdndjdjdndjdkdjdnfnfjfndndndn b7h
xy^-3 is equivalent to ______
Answer:
xy3 your welcome tell me if I got it right ✅
what is the x in x/5 +1 = 7
10 (-2 + 3y) + 8y = -20
What is the perimeter of the figure?
A. 34 cm
B. 36 cm2
C. 36 cm
D. 34cm2
Answer:
A. 34cm
Step-by-step explanation:
Gun rights vs. gun control: In a December 2014 report, "For the first time in more than two decades of Pew Research Center surveys, there is more support for gun rights than gun control." According to a Pew Research survey, 52% of Americans say that protecting gun rights is more important than controlling gun ownership. Gun rights advocates in a conservative city believe that the percentage is higher among city residents.
They survey 200 city residents and find that 130 say that protecting gun rights is more important than controlling gun ownership. What is the test statistic?
Z = -3.68
Z = 3.68
Z = -3.85
Z = 3.85
Answer:
The right answer is "z = 3.68".
Step-by-step explanation:
Given that,
p = 52%
or,
= 0.52
n = 200
[tex]\hat{p}= \frac{130}{200}[/tex]
[tex]= 0.65[/tex]
Now
The test statistic will be:
⇒ [tex]z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]
On substituting all the given values, we get
⇒ [tex]=\frac{0.65-0.52}{\sqrt{\frac{0.52(1-0.52)}{200} } }[/tex]
⇒ [tex]=\frac{0.13}\sqrt{{\frac{0.52\times 0.48}{200} }}[/tex]
⇒ [tex]=\frac{0.13}{\sqrt{0.001248} }[/tex]
⇒ [tex]=3.68[/tex]
Need help ASAP!! WILL give Brainly!!! Need the full equation!! THANK YOU!!
Answer:
[tex]y = - \frac{6}{8}x - 3 [/tex]
The measure of ZA Is 12° greater than the measure of ZB. The two angles are complementary. Find the measure of each angle. . The mZA IS and m/B Is
Answer:
m∡ZA = 51°
m∡ZB = 39°
Step-by-step explanation:
∡ZB = 'b'
∡ZA = '12 + b'
b + 12 + b = 90
2b + 12 = 90
2b = 78
b = 39
12 + 39 = 51
ANOTHER KHAN ACADEMY
Answer:
B
Step-by-step explanation:
True for all x.
Yo can someone help me out
Answer:
theres an black screen
Step-by-step explanation:
mark as brainliest!!
Answer:
Cant see the image
An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 70 miles from the point and has a speed of 280 miles per hour. The other is 240 miles from the point and has a speed of 960 miles per hour. (a) At what rate is the distance between the planes changing
Answer:
DL/dt = 1000 miles/hour
Step-by-step explanation:
Let´s call A Point for the airplane at 70 miles from the point O (converging point), and point B for the airplane at 240 miles from point O.
Then the three-points A, B, and O shape a right triangle with legs (distances from each of the airplane to point O, and hypotenuse L distance between the two airplanes
Then according to Pithagoras´theorem:
L² = (AO)² + (BO)²
At the moment t when the airplanes are far away as 70 and 240 miles per hour
L² = (70)² + ( 240)²
L² = 4900 + 57600
L = √62500
L = 250 miles
In general
L² = x² + y²
That equation is always valid for a right triangle if the airplanes are approaching keeping the right triangle shape then:
L² = x² + y² where x and y are the legs ( that legs change in time then):
Tacking derivatives on both sides of the equation
2*L*DL/dt = 2*x*Dx/dt + 2*y*Dy/dt
By substitution: since Dx/dt = 280 m/h and Dy/dt = 960 m/h
2*(250)*DL/dt = 2*70*280 + 2*(240)*960
500*DL/dt = 39200 + 460800
DL/dt = 500000/ 500
DL/dt = 1000 miles/hour
PLEASE HELP I NEED TO GRADUATE!!!!!!Drag each title to the correct location.
Match the mortgage types with their descriptions.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Algebra 1
No links
Answer fast
A-124
B-80
C-76
D-66
Answer:
B)
Step-by-step explanation:
x+36=102
x=102-36
x=66
Therefore, substitute x in your formula for x+14
66+14
What is the factorization of the polynomial graphed below? Assume it has no
constant factor. Write each factor as a polynomial in descending order.
Answer:
see below
Step-by-step explanation: 5 25 14 16
the graph shows the roots of the polymonimal to be
x = 0 and x - 4 = 0 x = 4 when y or f(x) = 0
f(x) = x(x-4) = x² - 4x
f(x) = x² - 4x
when x = 0 f(x) = 0
x = 2 f(x) = 2² - 4(2) = -4
x = 4 f(x) = 4² - 4(4) = 0
The factorization of the polynomial graphed are,
⇒ y = x (x - 5)
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, We have been given graph of polynomial.
This is in parabolic shape.
So, this is graph of quadratic function.
Hence,, there will be two zeroes.
And also number of zeroes of a function is equal to the number of times graphs cuts x-axis
Here, we can see graph cuts at (0,0) and (5,0).
So, the Factors will be:
(x - 0) and (x - 5).
Since, If x = 0 is a zero then it means factor will be (x)
Similarly, If x = 5 is a zero then it means factor will be (x-5).
Thus, the factorization of the polynomial graphed are,
⇒ y = x (x - 5)
Learn more about the function visit:
https://brainly.com/question/11624077
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The function f is defined by the following rule
f(x)=3x-3
Complete the function table
x f(x)
-5
-1
1
2
4
Answer:-18
-6
0
3
9
Step-by-step explanation:
What would you add to 1/6 to get 2/3
Answer:
0.5 or [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The school's computer lab goes through 3 reams of printer paper every 4 weeks. Find out how long 5 cases of printer paper is likely to last (a case of paper holds 8 reams
The 5 cases will last weeks
(Round to the nearest whole number as needed.
Answer:
53 weeks
Step-by-step explanation:
Given :
Reams of paper used :
3 reams = 4 Week
A case of 5 paper = 8 reams
Hence,
5 cases of paper = (8 * 5) = 40 reams
If :
3 reams = 4 weeks
40 reams = x
Cross multiply :
3x = 40 * 4
3x = 160
x = 160 / 3
x = 53. 333
Approximately 53 weeks (nearest whole number)
The sum of 2 numbers is 82 and one exceed the other by 40.what are the number 2
Answer:
If you are asked to work out the product of two or more numbers, then you need to multiply the numbers together. If you are asked to find the sum of two or more numbers, then you need to add the numbers together.
Step-by-step explanation:
Find the length of NL.
Answer:
8
Step-by-step explanation:
By intersecting chords theorem:
[tex]4x = 2 \times 8 \\ \\ 4x = 16 \\ \\ x = \frac{16}{4} \\ \\ x = 4 \\ [/tex]
NL = 4 + x = 4 + 4 = 8
A rectangular garden has length and width as given by the expressions below.
Length: 4 - 7(3x + 4y)
Width: 3x(-2y)
Write a simplified expression for the perimeter of the rectangle.
__ -__x-__y-__xy
Answer:
[tex]P = 8 - 42x + 56y + 12xy[/tex]
Step-by-step explanation:
Given
[tex]Length = 4 - 7(3x + 4y)[/tex]
[tex]Width = 3x(2y)[/tex]
Required
The perimeter (P)
This is calculated as:
[tex]P = 2 * (Length + Width)[/tex]
[tex]P = 2 * (4 - 7(3x + 4y) + 3x(2y))[/tex]
Open bracket
[tex]P = 2 * (4 - 21x + 28y + 6xy)[/tex]
Open bracket
[tex]P = 8 - 42x + 56y + 12xy[/tex]
What does an equal sign mean mathematically?
Answer:
It means that the both sides of the expression in the given equation must be/are congruent.
Hope this helps!