Given:
The functions are:
[tex]h(x)=x^2[/tex]
[tex]k(x)=-\dfrac{1}{7}x^2[/tex]
To find:
The transformation from the graph of h to the graph of k.
Solution:
The transformation is defined as
[tex]k(x)=ah(x+a)=[/tex] .... (1)
Where, a is stretch factor
If 0<|a|<1, then the graph compressed vertically by factor |a| and if |a|>1, then the graph stretch vertically by factor |a|.
If [tex]a<0[/tex], then the graph of h(x) reflected across the x-axis.
We have,
[tex]h(x)=x^2[/tex]
[tex]k(x)=-\dfrac{1}{7}x^2[/tex]
It can be written as
[tex]k(x)=-\dfrac{1}{7}h(x)[/tex] ...(2)
On comparing (1) and (2), we get
[tex]a=-\dfrac{1}{7}<0[/tex]
The graph of h(x) reflected across the x-axis.
[tex]|a|=\dfrac{1}{7}<1[/tex]
So, the graph is compressed vertically.
It means the graph of h reflection over the x-axls and a vertical stretch to get the graph of k.
Therefore, the correct option is B.
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=54°, and EF = 39 feet. Find the length of FD to the nearest tenth of a foot.
Answer:
yuphsjsjanananajqjqjwjejreis
Answer:
28.3
Step-by-step explanation:
Solve the inequality. Graph the solution.
z−2−6≤−2
Answer:
z ≤ 6
Step-by-step explanation:
z − 2 − 6 ≤ −2
z - 8 ≤ −2
z ≤ -2 + 8
z ≤ 6
≤ means it will be a CLOSED circle and go in the LEFT direction starting AT 6
A certain bacteria can double in 6 hours. How long will it
take the bacteria to increase from 20 to 140? (Hint: First find
the constant k)
Answer:
it can go to 160 on in 18 hours so the the answer could be 26 hours
Tell whether the rates are equivalent. Justify your answer.
60 centimeters every 2.5 years
30 centimeters every 15 months10
Answer:
30 centimeters every 15 months is correct the other one isnt.
Step-by-step explanation:
The rates are equivalent, and we can justify this by converting the time units to make a valid comparison.
To determine if the rates are equivalent, we need to compare the ratios of centimeters to time between the two rates.
Rate 1: 60 centimeters every 2.5 years
Rate 2: 30 centimeters every 15 months
Let's convert both rates to a common time unit to make a valid comparison. We can convert years to months or months to years.
Converting Rate 1:
2.5 years * 12 months/year = 30 months
Rate 1 becomes 60 centimeters every 30 months.
Now, let's compare the rates:
Rate 1: 60 centimeters every 30 months
Rate 2: 30 centimeters every 15 months
The rates are equivalent because the ratios of centimeters to time are the same for both rates. In both cases, the ratio is 2 centimeters per month.
Therefore, the rates are equivalent, and we can justify this by converting the time units to make a valid comparison.
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In AVWX, v = 21 cm, w = 64 cm and X=23°. Find the length of x, to the nearest
centimeter.
Answer:45cm
Step-by-step explanation:delta
plss. pa answers ?
thanks po
Answer:
Graph 3Line starting at x = -2
Domain: x ≥ -2Range: y ≥ 0Graph 4Vertical line
Domain: x = 3Range: y = any real numberGraph 5Quadratic function with negative leading coefficient and max value of 3
Domain: x = any real numberRange: y ≤ 3Graph 6Curve with non-negative domain and min value of -2
Domain: x ≥ 0Range: y ≥ -2Graph 7Line with no restriction
Domain: x = any real numberRange: y = any real numberGraph 8Quadratic function with positive leading coefficient and min value of 4
Domain: x = any real numberRange: y ≥ 4Graph 9Parabola with restriction at x = -4
Domain: x = any real number except -4Range: y = any real numberGraph 10Square root function with star point (2, 0)
Domain: x ≥ 2Range: y ≥ 0Need help will give you the brainliest
Answer:
164,160 just do 96% of it
Answer:
i think its 164,160
Step-by-step explanation:
A quilt was originally priced at $25 but went on sale for 20% off. If Pamela bought the quilt and paid 10% sales tax, how much did she pay in total?
Answer:
22.20
Step-by-step explanation:
25 × .80 ×1.10=22.20
HELP ASAP
Expand the expression: 3(n+4)
Multiply 3 and n, and 3 and 4.
3n+12
---
hope it helps
find the value of given expression
[tex] \sqrt{66 + 15} [/tex]
Answer:
9
Step-by-step explanation:
Hope this helps, let me know if im correct
Answer:
√{66+15}=√81=√9²=±9 is your answer
Suppose m is the line with equation y = −4 and ΔA'B'C is mapped to ΔA"B"C" by applying the glide reflection T⟨3, 0⟩ ∘ Rm. What are the coordinates of ΔA″B″C″?
Answer:
[tex]A" = (-1,-3)[/tex] [tex]B" = (-2,-6)[/tex] [tex]C" = (1,-7)[/tex]
Step-by-step explanation:
Given
See attachment for graph
[tex]A' = (-4, -5)[/tex]
[tex]B'=(-5, -2)[/tex]
[tex]C' = (-2, -1)[/tex]
First, reflect over [tex]y =-4[/tex]
The rule is: [tex](x,y) ==> (x,y+h)[/tex]
Where [tex]h =-4[/tex]
So:
[tex]A' = (-4, -5)[/tex] [tex]==>[/tex] [tex]A'' = (-4, 1-4) = (-4, -3)\\[/tex]
[tex]B'=(-5, -2)[/tex] [tex]==>[/tex] [tex]B'' = (-5, -2-4) = (-5, -6)[/tex]
[tex]C' = (-2, -1)[/tex] [tex]==>[/tex] [tex]C'' = (-2, -3-4) = (-2, -7)[/tex]
So, we have:
[tex]A" = (-4,-3)[/tex] [tex]B" = (-5,-6)[/tex] [tex]C" = (-2,-7)[/tex]
Next translate A''B''C'' by T(3, 0), we have;
The rule is: [tex](x,y)==>(x+3,y+0)[/tex]
[tex]A" = (-4,-3)[/tex] [tex]==>[/tex] [tex]A" = (-4 + 3, -3+0) = (-1, -3)[/tex]
[tex]B" = (-5,-6)[/tex] [tex]==>[/tex] [tex]B" = (-5 + 3, -6) = (-2, -6)[/tex]
[tex]C" = (-2,-7)[/tex] [tex]==>[/tex] [tex]C" = (-2 + 3, -7) = (1 , -7)[/tex]
Hence, A''B''C'' are:
[tex]A" = (-1,-3)[/tex] [tex]B" = (-2,-6)[/tex] [tex]C" = (1,-7)[/tex]
Can someone pls help me with this?
Answer:
14 is A
15 is B
Step-by-step explanation:
14 . the answer is a because first off the slope is negative so we can immediately eliminate B and D second of all the slope is 1/2 so we can eliminate D and get that the answer has to be a
15. answer is B for this one because first of all the slope is negative so we can immediately eliminate A and c and second of all the y-intercept would be 120 because 90 is what x=1 so we would have to add 30 to get what y would equal when x=0 if that makes sense
In a circle with a radius of 2725 in., an arc is intercepted by a central angle of 7π/4 radians.
What is the arc length?
Use 3.14 for π and round your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.
Answer:
150.56
Step-by-step explanation:
I took the test
Answer:
150.56
Step-by-step explanation:
Plz helpppp if u cannn
Answer:
57ft
Step-by-step explanation:
Since 5 inches = 3 ft and there is a total of 95 inches, we need to first figure out how many 5s are in 95.
95/5=19
There are 19 5s in 95.
Now we multiply 19 by 3 to find out how many feet it represents.
19x3=57
Please help will mark brainiest
Answer:
length= 34
width= 61.5
m<2 = 50°, m<1=
40
90
50
130
Answer:
50
Step-by-step explanation:
Help!!!!!!!!!!! I need help with my math sorry if too easy.
Answer:
whats the question? I'll help!!
5(y+ 2/5) = -13
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Guided Practice
Use the formula to estimate the temperature when n = 120 chirps/min. Round to the nearest whole number, if necessary.
The forumla F = n/4 + 37 estimates the temperature F in degrees Fahrenheit when crickes chirp n times per minute.
A.
157°F
B.
67°F
C.
39.25°F
Answer:
B.
67°F
Step-by-step explanation:
I'M SORRY BUT I CAN'T FIND IT ANYWHERE AND I HAVE NO IDEA WHAT IT IS
ahhhhhhhhhh
if vx=11u and vz=u+30 find the value of u that makes the Quadrilateral WXYZ a parallelogram
Simplify combining the like terms : a-(a-b)-b-(b-a)
Answer:
: a-(a-b)-b-(b-a)
-a^2+ab+b^2+ab
In the year 2006, a person bought a new car for $24000. For each consecutive year after that, the value of the car depreciated by 10%. How much would the car be worth in the year 2010, to the nearest hundred dollars?
Answer:
$15,746.400
Step-by-step explanation:
The computation of the car value in the year 2010 is shown below:
Since the new car brought in the year of 2006 at $24,000
And, it would be depreciation by 10%
So, in the year 2010 the car value would be
= $24,000 × (1 - 0.10)^4
= $24,000 × 0.9^4
= $15,746.400
I would also appreciate anyone that can help w this :)
Answer:
Step-by-step explanation:
Each term is 4 more than the preceding term.
Common difference d = 4
nth term = a₁ + (n-1)d = -6 + (n-1)4
a₁₀ = -6 + 9⋅4 = 30
Diego had 3 letters D,E, and N. How many orders/sets can Diego create with the letters?
3
9
6
12
Answer:
6
Step-by-step explanation:
DEN
DNE
NDE
NED
END
EDN
A pond contains 3,000,000 liters of water. How is this number written in scientific notations?
So bassically I have to write this as it is too short, but the answer is = 3 x 10^7
The given number 3,000,000 written in scientific notations is [tex]3\times10^6[/tex].
Given that, a pond contains 3,000,000 liters of water.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.57×10³.
The given number written in scientific notations is
3,000,000 = [tex]3\times10^6[/tex]
Therefore, the given number 3,000,000 written in scientific notations is [tex]3\times10^6[/tex].
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Among all positive numbers , whose sum is 12, find those for which the product of the two numbers and their difference is largest. (Hint: Let =− and express in terms of alone.)
Answer: The numbers whose sum equals 12 and whose product and difference is largest is 6 and 6
Step-by-step explanation:
numbers whose sum is 12
Sum =12 Product Difference Product- Difference
11 +1 11 10 1
10 +2 20 8 12
9 +3 27 6 21
8 +4 32 4 28
7 +5 35 2 33
6+6 36 0 36
The numbers whose sum equals 12 and whose product and difference is largest is 6 and 6
Who know this please I need help asap !!
Answer:
Step-by-step explanation:
[tex]tan\theta =\frac{12}{5}\\ \\ \theta =tan{-1}\frac{12}{5}\\ \\ \theta =67.38^o\\ \\ \theta \approx 67^o[/tex]
Riki cuts two decagons out of cardboard.Then he glues yarn around theedges. How much yard does riki use if each edge of the decagon is 8 centimeter?
Answer:
0.00736 Sq. Yard size of decagon is used
Step-by-step explanation:
Given
Each side of Decagon [tex]= 8[/tex] centimeter
Area of Decagon
[tex]A = \frac{5}{2} a \sqrt{5+2\sqrt{5} }[/tex]
Here a is the side of decagon
Substituting the given values, we get -
[tex]A = 2.5 * 8 * 3.077\\A = 61.54[/tex]Square centimeter
1 square centimeter = 0.000119599 square yard
Area in yard = 0.00736 Sq. Yard
Somebody help me out please
Answer:
So need me to solve it?
Step-by-step explanation:
(Absolute value inequalities) 50 points!
-6|4p+2|+8 > -34
Answer
p>5/4 or p<-9/4
Step-by-step explanation:
1. first isolate the absolute value by subtracting 8 and then dividing by -6
2. you then split the absolute value inequality into 4p+2>7 and 4p+2<-7
3. When you solve those, you get p>5/4 and p< -9/4
Answer:
[tex] - \frac{9}{4} < p < \frac{5}{4} [/tex]
Step-by-step explanation:
1) Subtract 8 from both sides.
[tex] - 6 |4p + 2| > - 34 -8[/tex]
2) Simplify -34 - 8 to -42.
[tex] - 6 |4p + 2| > - 42[/tex]
3) Divide both sides by -6.
[tex] |4p + 2| < \frac{ - 42}{ - 6} [/tex]
4) Two negative numbers makes a positive.
[tex] |4p + 2| < \frac{42}{6} [/tex]
5) Simplify 42/6 to 7.
[tex] |4p + 2| < 7[/tex]
6) Rewrite the inequality without the absolute value.
[tex] - 7 < 4p + 2 < 7[/tex]
7) Subtract 2 from the whole equation.
[tex] - 7 - 2 < 4p < 7 - 2[/tex]
8) Simplify.
[tex] - 9 < 4p < 5[/tex]
9) Divide the whole equation by 4.
[tex] - \frac{9}{4} < p < \frac{5}{4} [/tex]
Therefor, the answer is - 9/4 < p < 5/4.