Answer:
Correct option: first one
Step-by-step explanation:
The equation f(x) = 5x + 1 is a function, because each value of x gives only one value of y.
Now let's find the inverse by switching f(x) by x and x by f'(x), then isolating f'(x):
[tex]x = 5f'(x) + 1[/tex]
[tex]5f'(x) = x - 1[/tex]
[tex]f'(x) = \frac{x - 1}{5}[/tex]
The inverse f'(x) is also a function, because each value of x gives only one value of x.
So we have that both the equation and its inverse are function, therefore the correct answer is the first option.
solve for x ax+3x=bx+5
Answer:
x=5/a-b+3
Step-by-step explanation: Since we don't know a or b, we'll leave them as is. Shift all terms with x to the left and keep 5 on the right (ax+3x-bx)=5. x is a factor of that, so you'd change it to x(a-b+3)=5. Then, divide by (a-b+3). If a and b had set values, then just add all the x values and solve.
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Hi my lil bunny!
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Lets do this step by step.
Simplify 5 by ( b - x)
Apply the distributive property.
[tex]5b + 5 ( -x ) = 2b + ax[/tex]
Multiply -1 by 5.
[tex]5b - 5x = 2b + ax[/tex]
Subtract ax from both sides of the equation.
[tex]5b - 5x - ax = 2b[/tex]
Move all terms not containing x to the right side of the equation.
Subtract 5b from both sides of the equation.
[tex]-5x - ax = -3b[/tex]
Subtract 5b from 3b.
[tex]-5x - ax = -3b[/tex]
Factor x out of -5x - ax .
[tex]x ( -5 - a ) = -3b[/tex]
Divide each term by = -3b.
Divide each term in x ( -5 - a) = -3b by - 5 -a.
[tex]\frac{x( -5 - a)}{-5 - a} = \frac{-3b}{-5 - a}[/tex]
Cancel the common factor of -5 - a.
[tex]x = \frac{-3b}{-5 - a}[/tex]
Simplify [tex]\frac{-3b}{-5 - a}[/tex]
[tex]x = \frac{3b}{5 + a}[/tex]
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
|3x+9|= 30
Answer: x=7, -13
Answer:
[tex]\boxed{x=7, \: x=-13}[/tex]
Step-by-step explanation:
[tex]|3x+9|= 30[/tex]
Solve for absolute value.
There are two possibilities.
One possibility:
[tex]3x+9=30\\3x=21\\x=7[/tex]
Second possibility:
[tex]3x+9=-30\\3x=-39\\x=-13[/tex]
There are four inequalities that define the region R.
One of these is y
Find the other three inequalities,
Answer:
[tex]y\geq 0\\y\geq \frac{3}{2}x-3\\ y\leq -x+3[/tex]
Step-by-step explanation:
The region R is surrounded by 4 lines, the first one is y=x+1, the second one is y=0 or the axis x, and the third and fourth one need to be calcualted.
To find the equation of a line through the points (x1,y1) and (x2, y2) we can use the following equation:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Then, our third line is going to be the line that passes through the points (2,0) and (4,3), so the equation is:
[tex]y=\frac{3-0}{4-2}(x-2)\\y=\frac{3}{2}x-3[/tex]
Our fourth line is the line that passes through the points (3,0) and (0,3), so the equation is:
[tex]y=\frac{3-0}{0-3}(x-3)\\y=-x+3[/tex]
Then we can say that the other three inequalities are:
[tex]y\geq 0\\y\geq \frac{3}{2}x-3\\ y\leq -x+3[/tex]
Emily put $3000.00 in a 2 year CD paying 4% interest compounded monthly. After 2 years she withdrew all her money. What is the amount of the withdrawl?
Answer:
A=3244.8 dollars
Step-by-step explanation:
A=p(1+r)^t
A=3000(1+0.04)^2
A=3244.8 dollars
Use the screen shot to find the x
Answer:
69
Step-by-step explanation:
A triangle has a 180 degree angle so you do 180-111=69
Answer: x=24
Step-by-step explanation:
lets say 94 is ∠ a
41 is ∠ b
___ ∠ c
111∠ d
x ∠ e
so with that you will figure out that ∠ c is to find X
108-94-41= 45
so ∠ c is 45
now you can ∠a ∠ b∠ c
with that yo take
108-111-45=24
So X=24
Question 1
52 + 2 × (9) + 6 =
Answer:
76Step-by-step explanation:
Use BODMAS rule:
B = Bracket
O = Of
D = Division
M = Multiplication
A = Addition
S = Subtraction
Now, let's Solve,
[tex]52 + 2 \times (9) + 6[/tex]
First, we have to multiply the numbers:
[tex] = 52 + 18 + 6[/tex]
Add the numbers:
[tex] = 76[/tex]
Hope this helps...
Good luck on your assignment...
PLS HELP !! I’ll appreciate it
In a two-column proof, what would you write in the reason column for any statement that is given to
you?
Answer:
explanation
Step-by-step explanation:
the reason for your statement is just your explanation of why you think that.
If a number is added to the numerator of StartFraction 11 Over 36 EndFraction and twice the number is added to the denominator of StartFraction 11 Over 36 EndFraction , the resulting fraction is equivalent to one third . Find the number.
Answer:
The number is 3
Step-by-step explanation:
The fraction is 11/36
let
x = no. added to the numerator
2x = no. added to denominator
We have,
x+11/2x+36=1/3
Cross multiply
3(x+11) = (2x + 36)
3x + 33 = 2x + 36
Collect like terms
3x - 2x = 36 - 33
x=3
The number is 3
Check:
3+11/6+36=1/3
14/42=1/3
What is the total number of common tangents that can be drawn to the circles?
Answer:
The answer would be zero. This is due to the fact that the tangent is a line on a point around the circle. These two circles share no common tangents.
Step-by-step explanation:
The number of the common tangent to the concentric circles is zero. Option D is correct.
Two concentric circles are given in the figure, and common tangents to the circles are to be determined.
The circle is the locus of a point whose distance from a fixed point is constant i.e center ( h, k ). The equation of the circle is given by[tex](x-h)^2 + (y-k)^ = r^2[/tex]. where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.
Since the line passes through the circumference of the circle is known as a tangent to the circle and the common tangent of the concentric circle is not possible because the tangent to the inner circle results secant to the outer circle.
Thus, the number of the common tangent to the circles is zero. Option D is correct.
Learn more about circle here:
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which geometric solid is formed by rotating the rectangle about line m?
Answer:
rectangular prism
Step-by-step explanation:
check by rotating the shape in images
One liter of paint is needed to cover all 6 sides of a cubical block. How many liters will be needed to cover all 6 sides of a second cubical block whose edge is twice as long as an edge on the first block?
Will mark brainlist
Answer:
4 liters
Step-by-step explanation:
Let's assume that the side lengths of the cubical block are 2 inches.
This means that one of the sides area is 4 in².
Multiplying this by 6 (for there are 6 sides) gets us 24 in².
So one liter of paint covers 24 in².
Now if the side lengths (edge) of the second block is doubled, that means that the side lengths are [tex]2\cdot2 = 4[/tex] inches.
So the area of one side is 16 in².
Multiplying this by 6 (as there are 6 sides) gets us 96 in².
To find how many liters of paint this will take, we divide 96 by 24.
[tex]96\div24=4[/tex]
So 4 liters of paint will be needed for the second cubical block.
Hope this helped!
anyone plss heeelp me...i only need answer 6c..
Answer:
6c1; [tex]Area = 81.12m^2[/tex]
6cii: See Explanation
Step-by-step explanation:
Given
[tex]A = 3p^2[/tex]
[tex]0 \leq p \leq 6[/tex]
Where A represents Area and P represents Width
Required
Solve 6c
Please note that because you only need 6c, I'll solve using calculations;
Solving 6ci:
Area of the cage, when width is 5.2m
Substitute 5.2m for p in[tex]A = 3p^2[/tex]
[tex]A = 3 * 5.2m^2[/tex]
[tex]A = 3 * 27.04m^2[/tex]
[tex]A = 81.12m^2[/tex]
Hence, the area of the cage is 81.12m²
Solving 6cii:
Area of the cage, when width is 40m
From the range of value of p: [tex]0 \leq p \leq 6[/tex], 40m is out of range of the values of p
However, if the range is extended; the value of Area is as follows;
Substitute 40m for p
[tex]A = 3 * 40m^2[/tex]
[tex]A = 3 * 1600m^2[/tex]
[tex]A = 4,800m^2[/tex]
02.06A LC) Which number is not in scientific notation? 02.06A
the answer is (A) you cant have 11 it should be 1.1 x 10^22
Please help me.. I'm very confused about this
Answer:
C
Step-by-step explanation:
1:draw a very simple Cartesian plane for the graph
2:label the quadrants 1-4 from top right round to bottom right as 4
3:then apply x>0 (1,2) is top right and y<0 is bottom right (-1,-2)
Find the fraction half way between 1/7 and 1/5
Answer:
6/35
Step-by-step explanation:
add ¹/7+¹/5 =12/35
divide 12/35 by 2
=6/35
Please answer this in two minutes
Answer:
366.6 mm²
Step-by-step explanation:
Step 1: find XY using the Law of sines.
Thus,
[tex] \frac{XY}{sin(W)} = \frac{WY}{sin(X)} [/tex]
m < W = 180 - (70+43) (sum of angles in a triangle)
W = 180 - 113 = 67°
WY = 24 mm
X = 43°
XY = ?
[tex] \frac{XY}{sin(67)} = \frac{24}{sin(43)} [/tex]
Cross multiply:
[tex] XY*sin(43) = 24*sin(67) [/tex]
[tex] XY*0.68 = 24*0.92 [/tex]
Divide both sides by 0.68 to solve for XY
[tex] \frac{XY*0.68}{0.68} = \frac{24*0.92}{0.68} [/tex]
[tex] XY = 32.47 [/tex]
XY ≈ 32.5 mm
Step 2: find the area using the formula, ½*XY*WY*sin(Y).
Area = ½*32.5*24*sin(70)
Area = ½*32.5*24*0.94
= 32.5*12*0.94
Area = 366.6 mm² (nearest tenth)
what is the slope of the line that goes through the points (-1 4) and (14 -2)?
Answer:
Slope is -0.4 or 2/5
Step-by-step explanation:
x , y x^2,y^2
(-1,4) (14,-2)
y^2-y^1/x^2-x^1
-2-4/14-(-1)
-6/15
=-2/5 or -0.4.
Hope this helps. If right pls give me brainliest thank you.
Answer:
it is -2/5
Step-by-step explanation:
3m-(m + 5) when m = 11 help
Answer:
17
Step-by-step explanation:
3m-(m + 5)
Distribute the minus sign
3m -m -5
Combine like terms
2m -5
Let m =11
2*11 -5
22-5
17
Answer:
[tex]17[/tex]
Step-by-step explanation:
[tex]3m-(m + 5)[/tex]
[tex]m= 11[/tex]
Plug m as 11 in the expression.
[tex]3(11)-(11+5)[/tex]
Evaluate.
[tex]33-16[/tex]
[tex]=17[/tex]
find three examples of corporate logos. do they incorporate symmetry? if so, and what kind? your response should be 3-5 sentences long
Answer:
Symmetry is the property of an object to retain its shape even if it is turned or turned.
The three corporate logos are McDonald, Shell, Snapcaht
McDonald company logo is symmetrical and it is a reflective symmetry.
Shell logo is symmetrical and it is also reflective symmetry.
Snaphcat logo is symmetrical and it is also reflective symmetry.
If the family decreases the clothing budget by 3 percent, what amount will it have to spend on clothing?
nearest dollar
$266
$466
$645
$665
Answer: $466
Step-by-step explanation:
Answer:
b.$466
Step-by-step explanation:
If you bisect an angle that is 128 degrees, what size are the two new angles?
Answer:
64 is the answer
hope you like tjis
stay at home stay safe
Answer:
Each angles measures 64 degrees
Step-by-step explanation:
Bisect means divide in half
128/2 = 64
Each angles measures 64 degrees
You need to find the volume of the plastic sphere that holds the gum in your gumball machine. If the diameter is 2 feet, what is the volume? Use 3.14 to approximate pi. Round your answer to the nearest hundredth.
Answer:
The volume is
4ft³Step-by-step explanation:
Volume of a sphere is given by
[tex]V = \frac{4}{3} \pi {r}^{ 3} [/tex]
where r is the radius
π = 3.14
From the question we were given the diameter and
radius = diameter/ 2
diameter = 2 feet
radius = 2/2 = 1 feet
So the volume of the sphere is
[tex]V = \frac{4}{3} (3.14)(1) ^{3} [/tex]
[tex] = \frac{4}{3} \times 3.14[/tex]
V = 4.186
We have the final answer as
V = 4 ft³ to the nearest hundredth
Hope this helps you
Which of the following rational functions is graphed below?
Hey Mate!!
Your answer will be below.
Step-by-step explanation:
The answer is C. Because, There's vertical asymptotes at 1 and -1. Vertical asymptotes are present where the x on the denominator is equal to 0. So, Both the values are 1 and -1 set are equal to the 0 in the denominator, So, They're both horizontal asymptotes. Good Luck!
The cosine function reaches a value of 0 when x is equal to
Answer:
Step-by-step explanation:
The values of the cosine function are represented by the axis OX of the goniometric circumference (circumference centered at the origin and of radius 1). Therefore the cosine is zero for the 90º and 270º angles.
In a different plan for area codes the first digit could be any number from 3 through 6 the second digit was either 5,6,7 or 8 and the third digit could be any number except 5. With this plan how many different area codes are possible?
Answer:
144 codes are possible
Step-by-step explanation:
Okay for the first digit, we shall be selecting one out of 3,4,5,6.
Meaning we are selecting one out of four choices
The number of ways this can be done is 4C1 ways = 4 ways
For the second digit, we have 5,6,7 or 8, we are still selecting 1 out of 4 selections and the number of ways we can do this is also 4 ways
And lastly , we can choose any digit for the last number expect 5 , so from 0 to 9, we are removing 1 which means we are left with 9 choices
So the number of different area codes possible are ; 9 * 4 * 4 = 144 codes
The variables m and n are inversely correlated. When m = 22, n = 51. What is m when n = 6?
Answer:
m = 187
Step-by-step explanation:
Given m and n are inversely correlated then the equation relating them is
m = [tex]\frac{k}{n}[/tex] ← k is a constant
To find k use the condition when m = 22, n = 51
22 = [tex]\frac{k}{51}[/tex] ( multiply both sides by 51 )
1122 = k
m = [tex]\frac{1122}{n}[/tex] ← equation of correlation
When n = 6, then
m = [tex]\frac{1122}{6}[/tex] = 187
The value of m will be equal to 187 when both the numbers are an inverse function of each other.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that m and n are inversely correlated then the equation relating them is
m = K / n ← k is a constant
To find k use the condition when m = 22, n = 51
22 = k / 51 ( multiply both sides by 51 )
1122 = k
m = 1122 / n ← equation of correlation
When n = 6, then
m = 1122 / 6 = 187
Therefore, the value of m will be equal to 187 when both the numbers are an inverse function of each other.
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Find the value of x.
08*
ος
Ο Α. 58ο
Ο Ο Ο
Ο Β. 32ο
C. 669
D. 68ο
Answer:
x = 66°
Step-by-step explanation:
Hello,
This question involves use of rules or theorems of angles in a right angled triangle
<DAB + <BAC = 180°
Sum of angles on a straight line = 180°
98° + <BAC = 180°
<BAC = 180° - 98°
<BAC = 82°
Now, we can use <BAC to find x because some of angles in a triangle is equal to 180°
32° + 82° + x = 180°
Sum of angles in a triangle = 180°
114° + x = 180°
x = 180° - 114°
x = 66°
Angle x = 66°
My age if I am half as old as two more than twice Mack's age if Mack is m years old.
Answer:
You are m + 1 years old.
Step-by-step explanation:
Let's say that you are x years old, and Mack is m years old.
x = 1/2( two plus twice m)
x = 1/2(2 + 2m)
x = 1 + m
x = m + 1
Hope this helps!
Solve this problem. Reduce to lowest terms.
John worked in his garden for 4 3/4hours on Saturday and 2 1/2 hours on Sunday. How
many hours did he work in all?
6 hours
O 74 hours
4 hours
5 hours
Answer:
7 1/4
Step-by-step explanation:
4 3/4 + 2 1/2 =
4 3/4 +2 2/4 =7 1/4
Answer:
7 1/4 hours
Step-by-step explanation:
4 3/4 + 2 1/2
Get a common denominator
4 3/4 + 2 2/4
6 5/4
Rewriting as
6 + 4/4 + 1/4
6 + 1 + 1/4
7 1/4 hours
What is the result of adding these two equations?
62 + 2y = -2
3x - 2y = -5
Answer:
x = -7/9; y = 4/3.
Step-by-step explanation:
I will assume that the top equation is 6x + 2y = -2, and the bottom one is 3x - 2y = -5.
If you add the two...
(6x + 3x) + (2y + (-2y)) = (-2 + (-5))
9x + 0 = -7
9x = -7
x = -7/9
6(-7/9) + 2y = -2
-42/9 + 2y = -18/9
2y = 24/9
y = 24/18
y = 12/9
y = 4/3
Hope this helps!