Answer:
f(x)=|x-6|
Step-by-step explanation:
Translation is a shift. Opposite how many units it moved. In with the x because that's side to side. If it was not with the x, it's up and down.
The transformation of a function may involve any change. The equation of g(x) is |x-6|.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)Right shift by c units: y=f(x-c)(same output, but c units late)Vertical shift:
Up by d units: y = f(x) + dDown by d units: y = f(x) - dStretching:
Vertical stretch by a factor k: y = k × f(x)Horizontal stretch by a factor k: y = f(x/k)Given that the function f(x)=|x|, this function is needed to be translated 6 units to the right. Therefore, the new function can be written as,
g(x) = f(x-6)
= |x - 6|
Hence, the equation of g(x) is |x-6|.
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A scientist studied the migration patterns of two types of whales. The humpback whale traveled 2,000 miles in 25 days. The gray whale traveled 2,250 miles in 30 days. Assuming the humpback whale travels the same distance each day, what is the unit rate for the humpback whale in miles per day?
Answer:
it is 80 miles
Step-by-step explanation:
2000 divided by 25 is 80 therefore you multiply 80 x 30
Explain! Reward! Thank you!
Answer:
I think it would be 30 seconds
The sum of three numbers is 154
The second number is 8 times the first.
The third number is 16 less than the second.
What is the third number?
Answer:
64
Step-by-step explanation:
x+8x+(8x-16)=154
17x=170
x=10
10+80+64=154
The three angles of a triangle are in the ratio 5:4:1. Find all the angles of the triangle.
Answer:
Step-by-step explanation:
let the first angle be 5x
second be 4x
and third be 1x
as we know that by adding all the sides of triangle we get 180°
therefore ,
5x+4x+1x=180°
10x=180°
hence ,
x=18°
first angle - 18*5 = 90°
second angle - 18*4=72°
third angle - 18°
HOPE THIS HELPS YOU !!!
Answer:
18°, 72°, 90°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the parts of the ratio, 5 + 4 + 1 = 10 parts
divide to find the value of one part of the ratio
180° ÷ 10 = 18° ← value of 1 part of the ratio , thus
5 parts = 5 × 18° = 90°
4 parts = 4 × 18° = 72°
Thus the angles of the triangle are 18°, 72° and 90°
find the value of x. round the length to the nearest tenth. PLZ HELP ME.
Answer:
x ≈ 7.9 ft
Step-by-step explanation:
cos∅ = adjacent over hypotenuse
Since we are dealing with a right triangle, we can use trigonometry to help us solve for missing values:
cos44° = x/11
11cos44° = x
x = 7.91274
x ≈ 7.9 ft
An office building is 111ft high. About how tall is this in meters?
Answer:
33.8328
Step-by-step explanation:
Divide the length value by 3.281
-6(5.7)=
please help
Answer:
-34.2
Step-by-step explanation:
when u multiply those 2 numbers, it makes -34.2
Answer: G = 35.2
Step-by-step explanation: G - 6 x 5.7 = 1
G - 34.2 = 1
G = 1 + 34.2
G = 35.2
G = 176/5 , G = 35 1/5
Michael Fenton sells plumbing supplies to contractors. He earns 3% commission on the first $15,000
in sales, 5% on the next $15,000, and 8% on sales over $30,000. Last month he sold $52,000 worth
of plumbing supplies. What was his total commission?
Answer:
His total commission was: $2,960
Step-by-step explanation:
The commissions that Michael Fenton earns by selling plumbing supplies to contractors has three levels:
On the first $15,000 in sales, he earns 3%
On the next $15,000 in sales, he earns 5%
Over $30,000 in sales, he earns 8%.
Last month he sold $52,000 worth of plumbing supplies. His commissions will be calculated according to the levels reached:
The first $15,000 gave him 3%*15,000=0.03*15,000=$450
From the $52,000 sales, there remains $52,000 - $15,000 = $37,000 for the next levels.
The next $15,000 gave him 5%*15,000=0.05*15,000=$750
Now $37,000 - $15,000 = $22,000 remain for the last level.
Michael earned 8% of $22,000 = 0.08*22,000 = $1,760
His total commission was: $450 + $750 + $1,760 = $2,960
Can someone help me with these questions.
Answer:
C ( x = 2 (multiplicity of 2), x = -2, x = -4)
A ( x = 5 (crosses), x = -3 (touches))
Step-by-step explanation:
Here are a couple of rules that helped me come to these answers.
1. When finding a zero, you flip the value inside of the parenthesis. For example (x + 2) would have the zero of x = -2.
2.The multiplicity of something is how many times the same zero is there. It is the exponent outside of the equation. For the first question, the (x - 2) has an exponent of 2, thus it has the multiplicity of 2.
3. The multiplicity determines whether the line just touches (or "bounces" off) the x axis or crosses the x axis. If the multiplicity is odd, it crosses the axis. If the multiplicity is even, it just touches the axis. A good way to remember this is with linear and quadratic equations. A linear is commonly know as only having an exponent of 1 (an odd) number and would cross the x axis. A quadratic equation has an exponent of two (an even number) so the line "bounces" on a graph.
2020-2021 T-Math-Gr8Reg-T1-CBT
Quest
Which of these is a solution to the equation x = 36, x? = 42, or x = 55? Select three that apply.
X-V42
answer
a,c,e
i got 100% on this quiz
The solutions to the equation x³ = 36, x² = 42, x³ = 55 are:
x = ∛36
x = √42
x = ∛55
Option B, D, and F are the correct answers
Given,
Which of these is a solution to the equation x³ = 36, x² = 42, x³ = 55
Select three that apply.
A. x = √36
B. x = √42
C. = √55
D. = ∛36
E. = ∛42
F. = ∛55
How do we write square root and cube root?- Square root of a is written as √a.
- Cube root of a is written as ∛a.
We have,
- x³ = 36
Cube root on both sides
∛x³ = ∛36
x = ∛36
- x² = 42
Squaring on both sides
√x² = √42
x = √42
- x³ = 55
Cube root on both sides
∛x³ = ∛55
x = ∛55
We see that,
x = ∛36
x = √42
x = ∛55
Thus the solutions to the equation x³ = 36, x² = 42, x³ = 55 are:
x = ∛36
x = √42
x = ∛55
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The complete question is:
Which of these is a solution to the equation x³ = 36, x² = 42, x³ = 55
Select three that apply.
A. x = √36
B. x = √42
C. = √55
D. = ∛36
E. = ∛42
F. = ∛55
El equivalente a (x +8)(x-8) es:
Answer:
x^2 - 64
Step-by-step explanation:
(x + 8)(x - 8) = x^2 - 8x + 8x - 64 = x^2 - 64
what is the product for 1.7+-3.2
Answer:
-1.5
Step-by-step explanation:
do you not have a calculator???
Answer:-1.5
Step-by-step explanation:
1.7 + -3.2 = -(3.2-1.7)= -1.5
Chef rita is cooking for a sunday brunch. She knows that 22 pancakes can feed 8 people. she is wondering how many people (p) she can feed with 55 pancakes. She assumes each person eats the same quantity of pancakes. How many people can Rita feed with 55 pancakes?
Here's the question.
Which of the following is a rational number?
v1, v2, v3, v5
Answer:
5
Step-by-step explanation:
Order the numbers from least to greatest, 19/2, 9.4, 80
Answer:
9.4, 19/2, 80
Step-by-step explanation:
what is 9x2y-3 if x = 5 and y = 3.
Answer:
267
Step-by-step explanation:
What are the coordinates of the point LaTeX: \frac{1}{4}
1
4
of the way from A(−6, −3) to B(10, 9)?
girlll i need that answer to
increasing or decreasing?
slope?
y and x intercept?
other points the line goes through?
equation if the line?
Answer:
slope = 1/2
The x-intercept is (8, 0). The y-intercept is (-4, 0).
(2, -3), (4, -2), (6, -1)
y = (1/2)x - 4
Step-by-step explanation:
1)
slope = rise/run
Start at (0, -4) and go to (2, -3).
Start at (0, -4) and go 1 unit up. That is a rise of 1.
Now go 2 units right to arrive at (2, 3). That is a run of 2.
slope = rise/run = 1/2
2)
The line crosses the x-axis at (8, 0).
The x-intercept is (8, 0).
The line crosses the y-axis at (-4, 0).
The y-intercept is (-4, 0).
3)
Here are some points: (2, -3), (4, -2), (6, -1)
4)
y = mx + b
y = (1/2)x - 4
Answer:
Below in bold.
Step-by-step explanation:
The line is rising to the right so it has an increasing slope.
The slope of the line is 4/8 = 1/2.
Reading from the graph the x intercept is (8, 0).
The y-intercept is (0, -4).
The line passes through the points (2, -3) and (6, -1).
The equation of the line is:
y = (1/2)x - 4.
which two points lie on a line with a slope closest to zero ?
Answer:
Point N and point K
Step-by-step explanation:
The steeper a line is in the graph, the greater the value of the slope of the line would be, and also, the farther it would be from 0. On the other hand, the more gentle and less sloppy a line is, the smaller the value of the slope is, and also, the closer it is to 0.
From the graph given, there are possible set of points in a line that have a gentle line slope.
The first is, points N and K. The slope of this line is ⅑.
The second is, points P and L. The slope of this line is ⅙.
From the two above lines, the one with a slope closest to 0 is the line that runs through points N and K. ⅑ is closer to 0 than ⅙.
awnser all of them pls
First is false, second true, third is true , last is false. Wording is messed up on some gives the hint! Page 1<<<
13 is D no here << second page
Please Hurry!!!
If angle 1 is 110°, what would the other angle measures have to be in order for m || n and
q || p?
Angle 2 =
°
Angle 3 =
°
Angle 4 =
Answer: Angle 2 is 110
Angle 3 is 70
Angle 4 is 70
Step-by-step explanation:
:)
Step-by-step explanation:
angle 2= 110
angle 3=70
angle 4=70
Simplify 4x + 5x - 2.
Answer:
1x-2
Step-by-step explanation:
you subtract 4x from 5x and you get 1x-2
Answer:
9x - 2
Step-by-step explanation:
combine like terms
Which of the following equations represent linear function?
Answer:
click them all and whatever shows up right then keep that.. bc thats big ideas.. i know how that works
Step-by-step explanation:
Graph x=-5
???????????
Answer:
So the Y-intercept in this is -5.
put the first point on -5 in the Y line.
Step-by-step explanation:
Y-intercept: -5
Hey can i have some help real quick?
The question and the answer choices are in the picture!
Ty, and have a good night!
Answer:
the first one
23,465 rounded to the nearest ten thousand
Answer:
23,718
The 2 is in the ten thousands place. There is a 3 in the thousands place. Since 3 is less than 5, 2 stays the same and everything after it turns into 0s.
20,000
Answer: 20,000
Parallelograms PQRS and QRTU are standing on
the same base QR and between the same parallel
lines PT and QR. Prove that the area of
parallelograms PQRS and QRTU are equal.
Parallelograms PQRS and QRTU have the same base QR and height. it proves that areas are equal as base × height remains constant.
To prove that the area of parallelograms PQRS and QRTU are equal,
Use the concept that parallelograms with the same base and between the same parallel lines have equal areas.
Parallelograms PQRS and QRTU
Same base QR
Between the same parallel lines PT and QR
Proof,
Draw a diagram with parallelograms PQRS and QRTU sharing the common base QR and being situated between parallel lines PT and QR.
Since PQRS and QRTU share the same base QR and are between the same parallel lines PT and QR, their heights (perpendicular distances from base QR) are equal.
Let's call this height 'h'.
The area of a parallelogram is given by the formula:
Area = base × height.
For PQRS, its area would be: Area of PQRS = QR × h.
For QRTU, its area would be: Area of QRTU = QR × h.
Since both parallelograms have the same base 'QR' and the same height 'h', their areas are equal.
Therefore, it is proved that the area of parallelograms PQRS and QRTU are equal.
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Hii.Picture attached, thanks
Answer:
the answer is b 36*
Step-by-step explanation:
(please help me) 3/4 - ? =1/12
Answer: 2/3
Step-by-step explanation: