Answer:
Option D.
Step-by-step explanation:
The given parent function is
[tex]f(x)=\dfrac{1}{x}[/tex]
The given function is
[tex]g(x)=\dfrac{1}{x+4}-6[/tex]
Using the parent function, the given function can be written as
[tex]g(x)=f(x+4)-6[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex] .... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
[tex]a=4>0[/tex], it means the graph shifts 4 units left.
[tex]b=-6<0[/tex], it means the graph shifts 6 units down.
So, g(x) is shifted 4 units left and 6 units down from f(x).
Therefore, the correct option is D.
Transformation involves changing the form of a function.
The true option is (d) g(x) is shifted 4 units left and 6 units down from f(x).
The functions are given as:
[tex]g(x)= \frac{1}{x + 4} - 6[/tex]
[tex]f(x)= \frac{1}{x}[/tex]
Start by shifting the function to the left, by 4 units.
This is represented as:
[tex](x,y) \to (x + 4,y)[/tex]
So, we have:
[tex]f'(x)= \frac{1}{x + 4}[/tex]
Next, shift the function down, by 6 units.
This is represented as:
[tex](x,y) \to (x,y - 6)[/tex]
So, we have:
[tex]g(x)= \frac{1}{x + 4} - 6[/tex]
Hence, the true option is (d)
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What is the value of x in the equation below?
40x + 120 = 720
21
18
15
12.5
Answer:
The answer would be 15.
Step-by-step explanation:
The first thing that you have to do is subtract 120 on both sides
40x + 120 = 720
-120 -120
40x = 600
Then you have to divide by 40.
40x= 600
600 ÷ 40 = 15
x = 15.
I hope I helped
Answer:
15
Step-by-step explanation:
40×15=600+120=720
Multiply. Show all your work. Use the Punnett Square, then combine like terms and simplify. Show your final answer outside the Squares.
6 points
(5x − 1)(6x2 + 3x + 7)
Answer:
30x³ + 9x² + 32x - 7
Step-by-step explanation:
i hope it's right : )
(x-5) (3x+6) standard form
Answer:
Step-by-step explanation:
Using the unit circle find the exact value. CSC -30º =
Answer:
csc (- 30)° = - 2
Step-by-step explanation:
Using the trigonometric relationship
csc x = [tex]\frac{1}{sinx}[/tex] and the exact value sin30° = [tex]\frac{1}{2}[/tex]
sin(- 30)° = - sin30° = - [tex]\frac{1}{2}[/tex], thus
csc (- 30)° = [tex]\frac{1}{-\frac{1}{2} }[/tex] = - 2
In the figure angle a measures 41 degrees and angle d measures 32. What is the measurement of angle E?
Answer:
it is c
Step-by-step explanation:
Which is an equation for the parabola that has a vertex (6,-3) and passes through the point (2,-2)
Answer:
c
Step-by-step explanation:
Answer:
The Correct Answer is in fact C : x= -4y^2 -24y -30
Step-by-step explanation:
If you look at the image I attached you can see that C is the only one touching those point
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After analyzing this number line, which set of numbers would all round to 0 when rounding to the nearest hundred? A) 15, 35, 44 B) 35, 44, 50 C) 44, 50, 55 D) 55, 63, 69
Answer:
all the numbers in set a would all round to 0
Enter the value of the 8 in the following number. 438.13
Answer:
8
Step-by-step explanation:
It is in the one's place, so it is just 8x1, which is 8
Find the measure of arc BGF
180°
Step-by-step explanation:
measure of half a circle arc is 180
From B to F is 180 degrees because BF is a diameter.
Answer: 180 degrees
Evaluate and simplify the following complex fraction. 2/3÷4/-9 please help me
Answer: -3/2
Step-by-step explanation:
2
3
4
−9
=
2
3
−4
9
=
−3
2
Answer:
1.5
Step-by-step explanation:
2/3 ÷ 4/9=
= 2/3 · 9/4=
cross multiply:
1/1 · 3/2 = 3/2 = 1.5
For the equation -2(x+1) = 8, Caitlin distributes the 2 to get, -2x +2 = 8. Then she subtracts the 2 from both sides to get -2x = 6. Lastly she divides both sides by -2 to get x =-3. Did Caitlin use the distributive property correctly?(Site 2)
Answer:
No.
Step-by-step explanation:
She wronged in Step 2, -2x + 2 = 8 .
The correct way is :
-2(x+1) = 8
-2x – 2 = 8
Write an equation of the line that passes through (-4,3) and (0,6).
An equation is y =
Answer:
y= ¾x +6
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Let's find the gradient first.
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Using the formula above,
[tex]m = \frac{6 - 3}{0 - ( - 4)} \\ m = \frac{3}{4} [/tex]
subst. the value of m into the equation.
[tex]y = \frac{3}{4} x + c[/tex]
To find c, substitute a coordinate.
When x=0, y=6,
[tex]6 = \frac{3}{4} (0) + c \\ 6 = 0 + c \\ c = 6[/tex]
Thus, the equation of the line is [tex]y = \frac{3}{4} x + 6[/tex].
Maria’s height while jumping on a trampoline can be given by the equation: -16^2+16x+5
Answer:
-207.507490745
Solve for k. Describe the steps taken to find the solution.
8 + 10 - 6k = 6(4 - k)
Answer:
No real solution
Step-by-step explanation:
18-6k=24-6k
18=24
No Real Solution
2x-3y=-2 y=-4x+2 can someone use substitution method for this question
Answer:
2x+4y=0
Step-by-step explanation:
Which polynomials are in standard form?
Answer:
Regular type is called the form in which polynomials are mostly used. The parameters are calibrated to the lowest degree. The polynomial x4 + 2x3+x+11 is standard, for instance, because four are most strong and three and one are the strongest.
Step-by-step explanation:
h(x) = x2 – 3
If the graph of h is translated vertically upward by 4 units, it becomes the graph of a function g.
Find the expression for g(x).
Answer:
[tex]g(x)=x^2+1[/tex]
Step-by-step explanation:
The given function is
[tex]h(x)=x^2-3[/tex]
If a function translated vertically upward by p units, then we need to add p in the function value to get the new function.
It is given that if the graph of h is translated vertically upward by 4 units, it becomes the graph of a function g. So,
[tex]g(x)=h(x)+4[/tex]
[tex]g(x)=x^2-3+4[/tex]
On simplification, we get
[tex]g(x)=x^2+1[/tex]
Therefore, the required function is [tex]g(x)=x^2+1[/tex].
A mechanic is using a machine that makes metal parts. She measures each part to confirm it is the correct size. Negative numbers mean the part is too small, and positive numbers mean the part is too big. Which list shows the numbers the mechanic records in order from least to greatest?
1/8 - 3/16 - 1/4 - 1/32 - 5/32 - 1/16
Answer:
A
Step-by-step explanation:
In the figure attached, the complete question is shown.
We have to transform all the fractions to new fractions with the same denominator, as follows:
1/8 *4/4 = 4/32
-3/16 *2/2 = -6/32
-1/4 *8/8 = -8/32
1/32
5/32
-1/16 *2/2 = -2/32
Now we can order the list simply comparing numerators:
-8/32, -6/32, -2/32, 1/32, 4/32, 5/32
or
-1/4, -3/16, -1/16, 1/32, 1/8, 5/32
The order from least to greatest is -1/4 < -3/16 < -1/16 < 1/32 < 1/8 < 5/32 option first is correct.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
We have a measurement data as shown:
1/8, - 3/16, - 1/4, 1/32, 5/32, - 1/16
We can write the above numbers as follows:
0.125, -0.1875, -0.25, 0,03125, 0.15625, -0.0625
The order from least to greatest:
-1/4 < -3/16 < -1/16 < 1/32 < 1/8 < 5/32
Thus, the order from least to greatest is -1/4 < -3/16 < -1/16 < 1/32 < 1/8 < 5/32 option first is correct.
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Please help thank you!!!
Answer:
50 degrees
Step-by-step explanation:
53+77= 130
180-130= 50
Answer: 50º
Step-by-step explanation:
You know that the sum of all of the angles of a triangle are equal to 180º. Given 2 angles, we can use an equation to find the third angle. Let angle C be x
53º+77º+x=180º
130º+x=180º
Subtract 130
x=180º-130º
x=50º
Tamiko will use her credit card to purchase shoes online. The cost of the shoes is $98.75. She has $85.00 in her checking
account. Advantages and disadvantages for this payment method?
Answer:
The advantages and disadvantages of paying with a credit card in the case named are:
ADVANTAGES:
Tamiko can acquire the shoes despite she hasn't the money in her account.Securely her bank gives her points or other benefits for buying with a credit card, that in another occasion can enjoy in another product or service.Buying with a credit card improves her credit history to acquire in a future higher credits.DISADVANTAGES:
How she hasn't all the money in her checking account, she can't pay all the cost in the first fee, then she must pay installment interests. The installment interests used to have higher percentages than another credit, reason why the cost of the shoes is actually higher than $98.75.Step-by-step explanation:
Although you can see that the purchase with a credit card has 3 advantages and just 2 disadvantages, the best form to purchase with a credit card and having the benefits is pay all the amount in the first installment, in this form, we don't pay installment interests and will acquire points, improve our credit history and will have a product or service at least 15 days before to pay it.
Answer:
Advantages:
-You are able to purchase something without having the total amount in cash.
-You are able to pay a purchase in several installments.
In the situation you can see that Tamiko doesn't have enough money in her checking account to buy the shoes but she can do it using the credit card.
Disadvantages:
-You have to pay interests on the purchases made.
-You can end up with a high debt because you might spend a high amount of money that you are not able to pay back.
Tamiko will have to pay interests on the purchase she made increasing the amount of money that she will actually spend on the shoes and if she uses the credit card all the time she might accumulate a debt that she is not able to pay back.
Adam and Martha each performed a simulation.
Adam's simulation
• He tossed a fair coin 4 times.
• Each time the coin landed with tails face up.
Martha's simulation
• She randomly chose 1 block from each of two bags containing blocks.
• Each block she chose was labeled with the letter R.
The probability for both Adam's and Martha's simulation were the same. Which two bags could be the
ones Martha used in her simulation?
Answer:
Its D
Step-by-step explanation:
The population of Gilbert increased 275%. Which of the following are equivalent to 275%?
257
27 1\2
The 2 3/4 or 2.75 is equivalent to 275%.
What is Percentage?The percentage formula is used to calculate the amount or percentage of anything in terms of 100. Percentage indicates "per hundred" in its most basic form. The percentage formula is used to express a number between zero and one. It is a number that is expressed as a fraction of 100. It is represented by the sign% and is mostly used to compare and find ratios.
The population of Gilbert increased by 275%. The equivalent to 275% will be:
To express as fraction and decimal, we divide 275 by 100.
= 275/100
= 2 3/4
= 2 + 0.75
= 2.75
So, the equivalent fraction is 275% = 2 3/4 or 2.75.
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That’s all i need to know. Thanks!
Answer:
c = 5
Step-by-step explanation:
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = 25
c^2 = 25
sqrt of 25 = 5
c= 5
Answer:
c=5
Step-by-step explanation:
I need help!! I want to graduate!! The only class I have left please!!
Answer: Bro write the question better
Step-by-step explanation:
Please help as quick as you can! Question is below! Brainliest!
Answer:
Cylinder = [tex]\pi[/tex]* [tex]r^{2}[/tex] * h
Rectangle = l*w*h
Cone = 1/3 [tex]\pi[/tex]* [tex]r^{2}[/tex] * h
Pyramid = 1/3 b*h
Step-by-step explanation:
Mr. Smith plans to build a 3-foot-wide walkway
around the outside of the cabin, as shown in the floor
plan. What will be the area, in square feet, of the top
surface of the walkway?
A. 171
B. 324
360
396
720
Answer:
360
Step-by-step explanation:
The area of the top surface of rectangular cabin walkway is given by the equation A = 360 feet²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangular cabin be represented as A
Now , the initial length of the cabin = 30 feet
The initial width of the cabin = 24 feet
And , Mr. Smith plans to build a 3-foot-wide walkway around the outside of the cabin
So , the increased length of the rectangular cabin = 30 + 6 = 36 feet
The increased width of the rectangular cabin = 24 + 6 = 30 feet
Now , Area of Rectangle = Length x Width
Substituting the values in the equation , we get
Area of rectangular cabin A = 36 x 30
Area of rectangular cabin A = 1080 feet²
Now , the area of the cabin before increment of sides = 24 x 30
The area of the cabin before increment of sides = 720 feet²
So , the area of the walkway = 1080 - 720 = 360 feet²
Area of rectangular cabin walkway A = 360 feet²
Hence , the area of the rectangular cabin walkway is 360 feet²
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For 10 straight days Samantha measure the amount of food that her cat Dewey a recording the results
Answer:
is there like a table or something to help me with the question
Montel needs to determine the distance from -3 to zero. Which statement best desribes the process Montel should use?
F. Find the absolute value of negative three.
G. Find the opposite of positive three.
H. Find the absolute vaule of positive three.
J. Find the opposite of negative three.
Answer:
F
Step-by-step explanation:
Absolute value finds the distance between a number and 0, which is what the question is asking for -- the distance between -3 and 0.
The triangles are congruent by the SSS congruence
theorem.
Which transformation(s) can map ALMN onto
AL'M'N'?
M
translation only
O reflection only
L'
O rotation then translation
M
O reflection then translation
N'
N
Answer: rotation then translation
Step-by-step explanation:
The transformation(s) can map triangle LMN onto triangle L'M'N' are (c) rotation then translation
The SSS congruence theorem means that the triangles LMN and L'M'N' are congruent by sides and the angles are also congruent.
So, the triangles can be transformed by
TranslationReflectionRotationFrom the complete question, the triangles and rotated and translated
Hence, the transformation(s) can map triangle LMN onto triangle L'M'N' are (c) rotation then translation
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Find the 81st term of the arithmetic sequence -28, -34, -40, ...
Answer:
The answer is -508
Step-by-step explanation:
a81= -28+(81-1)(-6)
a81= -28+(80)(-6)
a81= -508
The 81st term of the arithmetic sequence will be -508. A series is a collection of sequences.
What is a sequence?A sequence is a collection of items that have been arranged in a logical order, with members appearing either before or after each other.
[tex]\rm N^{th}\ term=a+(n-1)d\\\\\rm 81^{th}\ term=-28+(81-1)(-6)\\\\ 81^{th}\ term=-508[/tex]
Hence, the 81st term of the arithmetic sequence will be -508.
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