Answer:
The graph is stretched horizontally by a factor of 4 and shifted up 1 unit
Step-by-step explanation:
The effect of transforming the function is (b) The graph is stretched horizontally by a factor of 4 and shifted up 1 unit
How to interpret the transformations of the functions?The functions are given as:
f(x) = 3sin(x)+1
g(x) = 3sin(x/4)+2
Start by stretching the function f(x) horizontally by a scale factor of 4.
So, we have:
f'(x) = 3sin(x/4) + 1
Next, shift the function f'(x) upward by 1 unit.
So, we have:
f'(x) = 3sin(x/4) + 1 + 1
Evaluate the sum
f'(x) = 3sin(x/4) + 2
Rewrite as:
g(x) = 3sin(x/4) + 2
Hence, the effect of transforming the function is (b) The graph is stretched horizontally by a factor of 4 and shifted up 1 unit
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A store receives a shipment of boxes of tea. The total mass shipment is 6kg.
-each box has a mass of 0.040 kg.
-boxes of green tea make up 18% of the shipment.
How many boxes of green tea were in the shipment?
A. 7
B. 27
C. 58
D. 108
If f(x) = 2x² - 5, f(5) =
Answer:
45
Step-by-step explanation:
Put in '5' where 'x' is
2 (5)^2 - 5 = 45
What is the equation: [tex]2x^2-5[/tex]
What do we want to find: f(5)
To find f(5), we must plug the value '5'
⇒ into the 'x' position
⇒ f(x)
So: [tex]f(5) = 2(5^2)-5 = 2 * 25 - 5 = 50 -5 = 45[/tex]
Thus f(5) = 45
Hope that helps!
These numbers are multiples of ________.
6, 18, 24, 36
A) 4
B) 5
C) 6
D) 8
Answer:
C. 6Step-by-step explanation:
Multiples refer to the way their numbers are counted from 1 to 100.
These numbers are multiples of 6.
Multiples of 6 are:
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, and 72.Therefore, the correct answer is C. 6.
I hope this helps you! Let me know if my answer is wrong or not.
Answer:
The answer is C.
Step-by-step explanation:
6÷6=1
18÷6=3
24÷6=4
36÷6=6
(150 Points If Ur right.) Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side RS. (ROUND PLEASE.)
Answer: 39.7
Step-by-step explanation:18/55 = 13/x you can get x by solving for it.
As a cold front passed, the temperature dropped steadily
2 degrees each hour. It dropped a total of 10 degrees. How
many hours did it take for the temperature to drop this far?
Answer:
5
Step-by-step explanation:
because 10 divided by 2 is 5
Pls help im struggling :p
When creating a histogram it is best to create a range for the different variables that are available.
So for the sake of covering all the possible ranges from 1 - 22, let's divide it into 5 categories.
0 - 5 6 - 10 11 - 15 16 - 20 21 - 25
Now that we have set ranges for the different variables, we then find the frequencies.
0 - 5 : 3
6 - 10 : 2
11 - 15 : 3
16 - 20 : 1
21 - 25 : 3
Now that we have all the values we can then create our histogram.
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hello, id like to order3 halves of a cupcake for my family plus some extra for my 2 friends.
Answer:
They'll each want a quarter of a cupcake.
Step-by-step explanation:
The number of people in the family is 14.
The number of cupcakes ordered is 4.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Number of cakes for the family = 3 (1/2)
Number of friends = 2
Now,
Each person's amount of cake = 1/4
The number of people in the family.
= 3(1/2) ÷ 1/4
= 7/2 x 4
= 14
The total number of cupcakes ordered.
= 2 x 1/4 +3(1/2)
= 1/2 + 3(1/2)
= 1/2 + 7/2
= 8/2
= 4
Thus,
There are 14 people in the family.
The total number of cupcakes ordered is 4.
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The complete question is:
Hello, id like to order3 halves of a cupcake for my family plus some extra for my 2 friends.
They'll each want a quarter of a cupcake.
Sally planted 3/8 rows of beans and 1/8 rows of Tyrion’s in a garden. In total how many rows of vegetables did sally plant?
Answer:
4/8 or 1/2 rows
Step-by-step explanation:
Hope this helps! ^^
Solve for b. -36 + 2.5 = 4
Answer:
False
Step-by-step explanation:
The sides are not equal
An artist has completed 1/4
of a penting in 2 weeks. At what rate is she working?
Answer:
1/8
Step-by-step explanation:
1/4 ÷ 2 = 0.125
0.125 as a decimal is 1/8
44. What three-dimensional figure can be made by folding the net?
ASSESSMENT 1
A rectangular pyramid
B. triangular pyramid
C. triangular prism
D. square pyramid
Answer:
Its B square pyramid
Step-by-step explanation:
Because
Help help help math math help
Answer:
x = - 4
Step-by-step explanation:
i hope its helped. thank you !
CAN SOMEONE PLS ANSWER THIS QUESTION FAST
WILL MARK BRAINLIEST
Answer:
C. 9 miles/gallon
Step-by-step explanation:
Answer:
Maybe 10? I'm sure though
Step-by-step explanation:
Find the values of x for which the denominator is equal to zero for 5x+6/x^2+6x+9 . none
x = −3
x = 3
x = −3, x = 3
The denominator would be x = -3.
Option (A) is correct.
What is the denominator?
A denominator is a bottom number in a fraction. It represents the divisor or the number by which the numerator is being divided.
In this case, the denominator is x^2+6x+9. To find the values of x for which the denominator is equal to zero, we need to set the denominator equal to 0 and solve for x. The equation would be x^2+6x+9=0. By factorizing the denominator we get (x+3)^2=0.
x + 3 = 0
x = -3
Hence, the denominator would be x = -3.
Option (A) is correct.
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Which of the following is true for the function y = log3(x)?
It is the inverse of the function y = x3.
It is the inverse of the function y = 3x.
It is the reciprocal of the function y = x3.
It is the reciprocal of the function y = 3x.
Answer:
B
Step-by-step explanation:
ED
If HI = IJ = 14 and GH = 12, what is HJ?
Answer:
24 unitsStep-by-step explanation:
Missing drawing but assumed that:
HI and IJ are equal sides of the isosceles triangle HIJIG is the perpendicular bisector of same triangleSince G is the midpoint of HJ, we have:
GH = GJ = 12So
HJ = 2*GH = 2*12 = 24Answer:
24 units
Step-by-step explanation:
IJ = 14 and GH = 12
Gh=gj=12
Hj=2gh
2*12=24
X2 -2x -24=0 is equivalent to
Answer(S):
Answer:
x= 6, -4
Step-by-step explanation:
x^2 - 2x - 24 = 0
(x-6) (x+4) = 0
x = 6, x= -4
I'LL MARK AS THE BRAINLIEST!!!!! a− (10 − a) = 30
Answer:
a=20
Step-by-step explanation:
a-10+a=30
a+a-10=30
2a-10=30
2a=30+10
2a=40
a=20
Naomi was measuring and cutting yarn in inches for an art project.she cut 9 pieces of the yarn.
Answer:
i don't know this question but you can just measure it
Explain how using a line plot will help you to collect data
Answer:
i hope this helps you
Step-by-step explanation:
A line graph is commonly used to display change over time as a series of data points connected by straight line segments on two axes. The line graph therefore helps to determine the relationship between two sets of values, with one data set always being dependent on the other set
and please dont forgets to markas BRAINLIEST answer pleasewhat is the intial value of the function f(x)=3{5/4}^x
Answer:
3
Step-by-step explanation:
The "initial value" of a function is the value when the independent variable is zero.
f(0) = 3(5/4)^0 = 3×1 = 3
The initial value of the function is 3.
Find the value of the expression 1/2x + 3 if x = 12
Step-by-step explanation:
please mark me as brainlest
Let f(x)=3/4x2-1 The function g(x) is a vertical stretch of f(x) by a factor of 8.What is the equation of g(x)?
Answer:
g(x) = 6x^2-1
Step-by-step explanation:
f(x)=3/4x^2 −1.
A vertical stretch by a factor of 8 you multiply the number with x by the factor:
3/4 x 8 = 6
g(x) = 6x^2-1
13, 19, 25, ...
Find the 48th term.
Answer:
so you should add 6 to 13 in case to find 19, then add 6 to 19 to get to 25.
so the first is 13 and we keep adding 6 to get to the answer. we do it 47 times. so we have 13+ (6) (47) = 295 which is the 48th term.
The 12th term of the arithmetic sequence13, 19, 25,... is 79.
What are arithmetic and geometric sequence?An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference
d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.
In a geometric sequence numbers are written in the same constant ratio(r).
It means every next number is a multiple of a common constant and the previous number.
r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Given, an arithmetic sequence 13, 19, 25,...
The first term a₁ = 13 and the common difference is = (25 - 19) = (19 - 13) = 6.
We know nth term of an arithmetic sequence is aₙ = a₁ + (n - 1).d.
∴ The 12th term of this arithmetic sequence is a₁₂ = a₁ + (12 - 1).d
a₁₂ = 13 + (12 - 1).6.
a₁₂ = 13 + 11.6
a₁₂ = 13 + 66.
a₁₂ = 79.
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The area of'a rectangular piece of cardboard is 108 em and its length is 18em. Find the width of the cardboard
Answer:
I think you meant cm, not em. So the answer is 6 cm.
Step-by-step explanation:
18cm x 6cm = 108 cm
What is the area of a pillow that is 12 1/2 inches long and 15 1/2 inches wide?
Answer:
193.75in or 193 3/4 in.
Step-by-step explanation:
To find the area, multiply the length x width.
12.5 x 15.5 = 193.75in
:)
Answer:
193.75 inch
Step-by-step explanation:
Area= Length ×Width
12.5*15.5
Evaluate the limit
[tex]\lim \limits_{x\to 0} \dfrac{\ln \left(1-\dfrac x4 \right) - (1-x)^{\tfrac 14} +1}{x^2}[/tex]
Answer:
1/16
Step-by-step explanation:
Place x=0 and you can see [tex]\frac{0}{0}[/tex] indefinitness. So you can apply the l'hosptial rule. Its basic you should
[tex]\lim_{x \to \ 0} \frac{g(x)}{f(x)} = \\[/tex] [tex]lim_{x \to \ 0} \frac{g'(x)}{f'(x)}[/tex] so apply the derivative
[tex]\frac{\frac{1}{x-4} +\frac{1}{\sqrt[4]{(1-x})^3 } }{2x}[/tex] and replace the x=0 and you'll see same answer [tex]\frac{0}{0}[/tex] re-apply the l'hospital rule and answer
[tex]\frac{\frac{-1}{(x-4)^2} + \frac{3}{16\sqrt[4]{(1-x)^7} } }{2}[/tex] and replace the 0 you can see the answer [tex]\frac{1}{16}[/tex]
I need help with this question
Answer:
Length: 20, Width=34
Step-by-step explanation:
Say the length of the width is w, and the length of the length is l. Then, we can establish an equation of W=2L-6. Since the area of a rectangle is W*L, we can substitute W with 2L-6. If we multiply 2L-6 and L, we get [tex]2L^{2} -6L[/tex]=680. We can simplify this equation by dividing everything by 2. We then get [tex]L^{2}-3L=340[/tex]. If we solve for L, we get 20. Now, we plug 20 into the equation, W=2L-6. Since W=2(20)-6, which simplifies to W=40-6 which is 34, we get a width of 34.
Hope this helps
A square with diagonals is shown. The distance from one point to the middle point is 3. The length from the center point to another point is 3.
What is the approximate side length of the square?
3.0 units
3.5 units
4.2 units
4.9 units
Step-by-step explanation:
in a square 2 sides with a diagonal creates a right-angled triangle, with the diagonal being the Hypotenuse (the side opposite of the 90° angle).
the diagonal is 3+3 = 6 units long.
let's call the square side length "s".
then we have via Pythagoras
6² = s² + s² = 2s²
36 = 2s²
18 = s²
s = 4.242640687 ≈ 4.2 units
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Step-by-step explanation:
by using formula a+b+c=180