These following translations happened to transform f(x) into g(x):
A. vertical stretch with a scale factor of 3. B. A translation of 5 units to the left.E. A translation of 2 units down.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the functions are as follows:
f(x) = x².g(x) = 3(x + 5)² - 2.The changes were as follows:
x -> x + 5, hence a shift of 5 units left.Multiplication by 3, hence a vertical stretch with a scale of 3.y -> y - 2, hence shifted 2 units down.More can be learned about translations at https://brainly.com/question/4521517
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Please and thank you :)
Answer:
8
Step-by-step explanation:
use tangent so opp/adj
9/tan4 which equals 7.7 or 8
Please help! Giving brainlist!
Answer:
∠AXB or ∠PXQ or ∠AXQ or ∠PXB or ...
Step-by-step explanation:
A vertical angle is formed from the rays that are opposite the rays that form the original angle.
__
opposite raysThe rays forming angle CXD are rays XC and XD. The ray opposite XC will have end point X, and can be named by either of the two points shown on the ray: A or P. That is, rays XA and XP are opposite ray XC.
Similarly, rays XB and XQ are opposite ray XD.
vertical angleThe vertical angle can be named using either of the first pair of opposite rays with either of the second pair:
∠AXB, ∠PXB, ∠AXQ, ∠PXQ
Of course, the ray names can be reversed in the angle names:
∠BXA, ∠BXP, ∠QXA, ∠QXP
Altogether, there are 8 ways to name the vertical angle to ∠CXD.
Consider functions fand g.
f(x) = -x3
g(x) = |1/8x-1|
What is the value of (gof)(4)?
O A. -1/8
OB. 9
O C. -9
O D. 1/8
The value of (gof)(4) is 9 if the function f(x) is f(x) = -x³, and function g(x) is g(x) = |1/8x-1| option (B) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = -x³
[tex]\rm g(x) = |\dfrac{1}{8}x-1|[/tex]
Plug x = 4 in the f(x)
f(4) = -4³ = -64
Plug the above value in the g(x)
[tex]\rm g(x) = |\dfrac{1}{8}(-64)-1|[/tex]
g(f(4)) = |-8-1| = |-9| = 9
Thus, the value of (gof)(4) is 9 if the function f(x) is f(x) = -x³, and function g(x) is g(x) = |1/8x-1| option (B) is correct.
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The vale’s in the table represent a linear function
Answer:
B
Step-by-step explanation:
an arithmetic squeegee is defined by
an = an-1 + d
that means that every term of the sequence is created by adding a constant d (the common difference) to the pervious term.
so, we get the common difference by caucuses the difference of 2 neighboring terms.
e.g.
a1 = 9
a2 = 22
a2 - a1 = 22 - 9 = 13
so, B. 13 is the right answer.
as a quick check if it is truly an arithmetic sequence, we can look, if all the other pairs have the same difference.
yes, they do. the difference is always 13.
Seven candy bars will cost you $3.50. How much will one candy bar cost?
Answer:
50 cents
Step-by-step explanation:
The question is basically asking what is the unit price
So we simply do :
$3.50 ÷ 7 = $0.50 = 50 cents
Hope this helped and brainliest please
Answer:
$0.50
Step-by-step explanation:
let the cost of one candy bar = X
7 candy bar ---------------$3.50
1 candy bar ---------------- X
crodd multiplying
7×X = 3.50×1
7X = 3.50
dividing bothsides by
7X/7 = 3.50/7
X = 0.50
therefore, one candy bar will cost $0.50
Graph the line with the equation y=-x-6
Answer:
in the picture
Step-by-step explanation:
You need 2 points to graph a line.
▪︎ if x = 0, y = 0 - 6 => y = -6
1st point: (0, -6)
▪︎if y = 0, 0 = -x - 6 => x = -6
2nd point: (-6, 0)
Abrianna sold 20, 23, 18, 4, 17, 21, 15, and 56 boxes of cookies after different football games. Which data value(s) are outliers? Select all that apply.
The data values that are outliers are 4 and 56.
What is an outlier?
An outlier is a number that is way smaller or way larger than that of other numbers in a data set. An outlier distorts the mean and median of the dataset.
In this data, 4 is smaller than the average of the data set and 56 is larger than the average numbers. They are the outliers.
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4. In how many ways can all of the letters of the word NUMBERS be arranged if it
start with a consonant and end with a vowel? /2
Answer:
2400 words
Step-by-step explanation:
First choose the first letter. You have 5 choices of consonant for this.
Next choose the last letter. You have 4 remaining consonants for this.
Now you have 5 remaining letters which can be placed in any order.
So the answer will be:
5⋅4⋅5!
20⋅120
2400
In the table, pattern A uses the rule add five pattern B uses the rule at 10 which statement is true every term in pattern b is 10 more than the corresponding term in pattern a every term in pattern B is two times the corresponding term in pattern A every term pattern B is 10 times the corresponding term in pattern A every term in pattern B is 1/2 the corresponding term in Pattern A
Every term in pattern B is two times the corresponding term in pattern A
The correct option is (B).
What is algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
Given:
pattern A uses the rule add five pattern
pattern B uses the rule add 10
if we take example
5x2=10 and comparable to pattern A x2 to get the next number.
Hence, every term in pattern B is two times the corresponding term in pattern A.
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The correct option is (B).
which 2 numbers have a mean of 10 and a range of 12
Answer:
Step-by-step explanation:
16 - 4 = 12
16 + 4 = 20
then 20 ; 2 = 10
Half of 12 is 6, therefore the two numbers 10 - 6 = 4 and 10 + 6 = 16 will have a mean of 10 and a range of 12.
A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
A. A pair of intersecting lines
B. A pair of parallel lines
C. A point
D. A single line
Answer:
A a pair of intersecting lines
Step-by-step explanation:
i got it right on the test bub
Answer: a pair of intersecting lines
Step-by-step explanation: i had many people help me know this is right
Select all the correct locations on the image.
Identify which functions have complex roots by selecting the function names on the provided coordinate plane
The functions have complex roots from the image are
Functions (b) and (d). This is further explained below.
What is Function?Generally, Function is simply defined as a connection between two or more variables that may be expressed mathematically.
In conclusion, Functions with graphs that never touch or cross the x-axis are said to have complicated roots, not real ones.
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3h
h
this pyramid has the same base as the prism, and its height is three times the height of the prism. what is the ratio of the volume of the
pyramid to the volume of the prism?
Answer:
volume of the pramind is 90332 ans And like
1. Write the point where the linear equation 3x + 4y = 12 cuts the x-axis.
Answer:
(4,0)
Step-by-step explanation:
The point where the line cuts the x-axis is called the x-intercept.
x-intercept is when y = 0.
So given y = 0,
3x+4(0) = 12
3x = 12
x = 12/3
x = 4
therefore the point is (4,0)
If $360 is divided between Pam and Bill in the ratio 3:5 respectively, how much more did Bill receive than Pam?
find the angle of elevation of the sun if a building 325 feet tall casts a shadow 296 feet long
Answer:
Step-by-step explanation:
SOH CAH TOA
we have the (opposite) --> 325
we have the (adjacent) --> 296
so do the inverse tan of opposite over adjacent...
[tex]tan^{-1} (\frac{325}{296} ) = 47.67[/tex] degrees
¿Cuanto mide el ángulo central de un dedacagono?
Answer: 36°
Step-by-step explanation: 360° ÷ 10 = 36°.
Espero que esto te ayude!!
A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of Pi.
Pi feet cubed
The volume of the sphere with a diameter of 12 ft is calculated as: 288π feet cubed.
What is the Volume of a Sphere?The volume of a given sphere with a radius (r) is given as: V = 4/3πr³.
Given the following:
Diameter of the sphere = 12 ftRadius = 1/2(12) = 6 ft.Volume of the sphere = 4/3π(6³)
Volume of the sphere = 288π feet cubed
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Answer:
288 Is the answer : )
Step-by-step explanation:
I got it right on the test (100%)
Convert 385 pounds into kg given the fact that 1 kg = 2.2 pounds.
Answer:
175 Kg
Step-by-step explanation:
Convert 385 pounds into kg given the fact that 1 kg = 2.2 pounds.
385 : 2.2 =
175 Kg
----------------
What are two limiting factors that affect both deciduous forests and grasslands?
1. very low rainfall throughout the year
2. seasonal changes in the amount of sunlight
3. a wide range of temperatures throughout the year
4. soil that is low in nutrients and organic matter
The two limiting factors that affect both deciduous forests and grasslands very low rainfall throughout the year , a wide range of temperatures throughout the year , Option 1 and 3 are the correct answer.
What are Grasslands ?The places where there is not enough rainfall for the forest to sustain and grow , a layer of grass is spread out , these are called as grasslands.
The two limiting factors that affect both deciduous forests and grasslands is that they both receive very low rainfall throughout the year.
and a wide range of temperatures throughout the year , It can get very warm and simultaneously very cold .
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I need help asap please? and this is for the math question? what is the missing angle?
Answer:
90
Step-by-step explanation:
its a right angle triangle so the angle between the adjacent and opposite is 90 degrees.Angles on a straight line add up to 180180-90=90Answer:
the missing angle or the missing exterior angle is 90
Step-by-step explanation:
180-90=90
Write the equation of a line perpendicular to 2x + 3y = 4 and passing through (-3,-5).
Answer:
Step-by-step explanation:
A line perpendicular to the given line has a slope that is the negative inverse of the reference line.
Rewrite the given equation in the format of y=mx+b, where mi is the slope and b is the y-intercept (the value of y when x = 0.
2x + 3y = 4
3y=-2x+4
y = -(2/3)X + (4/3)
The reference slope is -(2/3). The negative inverse is (3/2), which will be the slope of a perpendicular line. We can write the new line as:
y = (3/2)x + b
Any value of b will still result in a line that is perpendicular. But we want a value of b that will shift the line so that it intersects the point (-3,-5). Simply enter this point in the above equation and solve for b.
y = (3/2)x + b
-5 = (3/2)(-3) + b
-5 = -(9/2) + b
-5 = -4.5 + b
b = - 0.5
The equation of the line that is perpendicular to 2x + 3y = 4 and includes point (-3,-5) is
y = (3/2)x - 0.5
The average American consumes 3.4 x 10^3 mg of sodium daily. If there are
3.27 x 10^8 people in the United States, then how many milligrams of sodium is consumed each day? Express your answer in scientific notation.
Answer:
1.1 x 10¹² mg of sodium
Step-by-step explanation:
(3.4 x 10³ mg)(3.27 x 10⁸) = 1.1 x 10¹² mg
I will give brainlest to the first person to answer thats right!!!!!!!!!
mr. and mrs. jones are trying to decide which of their five children will help wash the family dishes. mrs. jones writes the names of the 3 boys and the 2 girls on different pieces of paper and places them in a bag. mr. jones will select one name and then select another name. what is the probability that two boys will be selected? simplify your answer.
The probability that two boys will be selected is 0.3 .
What is Probability ?Probability is defined as the study of likelihood of an event.
It has the range of 0 to 1.
Probability is equal to the ratio of possibility of an event to total occurrences
It is given in the question that
There are total 5 children , 3 boys and the 2 girls
Total outcome = 5
The probability of selection of first boy is 3/5
Total outcome = 4
No. of boys left to be selected = 4
The probability of selection of second boy is 2/4
Therefore the probability that two boys will be selected
= (3/5)*(2/4)
= (3/5)*(1/2)
=3/10
= 0.3
the probability that two boys will be selected is 0.3 .
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Answer:It is B i promise!!! i just got it right!
Step-by-step explanation:
Solve for X. Round to nearest tenth.
Answer:
x = 11.3
Step-by-step explanation:
[tex]cos(61^{o} )=\frac{5.5}{x}[/tex]
[tex]x=\frac{5.5}{cos(61^{o}) } =11.34[/tex]
Rounded to the nearest tenth:
x = 11.3
Hope this helps
Answer:
x ≈ 11.3
Step-by-step explanation:
using the cosine ratio in the right triangle
cos61° = [tex]\frac{DE}{DF}[/tex] = [tex]\frac{5.5}{x}[/tex] ( multiply both sides by x )
x × cos61° = 5.5 ( divide both sides by cos61° )
x = [tex]\frac{5.5}{cos61}[/tex] ≈ 11.3 ( to the nearest tenth )
Factor completely.
x² - 3x² - 4
Answer:
-2(x^2+2)
Step-by-step explanation:
1. x^2-3x^2-4
= -2x^2-4
2. -2(x^2+2) factor completely :)
Answer: - 2 (x² + 2)
Step-by-step explanation:
x² - 3x² - 4 ⇒ -2x² - 4 ⇒ - 2 (x² + 2) factor out - 2
if d is the midpoint of the segment AC
Based on the statement below, if d is the midpoint of the segment AC, the length of the segment AB is 4.5cm.
What is the line segment about?in the question given,
AC = 3cm,
Therefore, AD and DC will be = 1.5cm segments each.
We are given C as the midpoint of segment DB.
So CB = 1.5cm.
The representation of the line segment is:
A-----------D------------C-------------B
1.5 1.5 1.5
Since AD, DC and CB are each 1.5cm segments. Then the equation will be:
= 1.5 + 1.5 + 1.5
= 4.5
Therefore, The length of the segment AB is 4.5cm.
See full question below
If D is the midpoint of the segment AC and C is the midpoint of segment DB , what is the length of the segment AB , if AC = 3 cm.
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Question 7:
g is 60% of h
f is a third of g
Write the ratio f g h in its simplest form.
The ratio of f to g to h is:
1:3:5
How to write the ratio?
First, we know that g is the 60% of h, then we can write:
g = 0.6*h
Now we can write the 0.6 as a fraction, then 0.6 = 3/5.
g = (3/5)*h
So we can write:
5*g = 3*h
So the ratio of g to h is 3:5
Now, we know that f is a third of g:
f = (1/3)*g
3f = g
So the ratio of f to g is:
1:3
notice that the value that represents the proportion of g is 3 in both ratios, so we can just write:
The ratio of f to g to h is:
1:3:5
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Find the surface area of the composite figure.
2 cm
7 cm
2 cm
12 cm
12 cm
7 cm
7 cm
SA = [?] cm2
Answer:
You are to write a five paragraph literary essay based on one of the 4 prompts and what you have read and learned in this module. These are your options:
1. How do the events of "The White Umbrella" teach the narrator a lesson about shame and acceptance?
2. What role does creativity play in "The Bat-Poet"?
3. How does the character of Squeaky change over the course of "Raymond's Run"?
4. Discuss the influences of older family members on the protagonists and speakers in the stories and poems of this unit.
You are to write a five paragraph literary essay based on what you have read and learned in this module. Your final submission should meet the following requirements.
• Submit completed pre-writing and outline documents.
• Write an essay that contains an introduction with hook and thesis statement, supporting paragraphs with evidence and at least one quotation, and a conclusion that restates the thesis and reviews main points.
• Use transitions appropriate to the pattern of organization.
• Use vocabulary to create tone and voice.
• Cite primary source (quotation).
• Submit completed revision checklist.
• Vary sentence structure.
• Create sentences with parallel structures.
• Use technology in the writing process.
Step-by-step explanation:
7m
5m
6 m
4m
5 m
5m
What is the volume of the figure?
O 116 m³
O 190 m³
O 290 m³
x 390 m³
Answer:
290 m²
Step-by-step explanation:
The volume of the figure can be found by taking the sum of the volumes of the 2 cuboid.
[tex]\boxed{\text{Volume of cuboid}=\text{length}\times\text{breadth}\times\text{height}}[/tex]
Top cuboid
Length= 4 m
Breadth= 5 m
Height= 7 m
Volume= 4(5)(7)= 140 m²
Bottom cuboid
Length= 5 m
Breadth= 6 m
Height= 5 m
Volume= 5(6)(5)= 150 m²
Total volume
Total volume
= volume of top cuboid +volume of bottom cuboid
= 290 m²
Additional:
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