Which is one of the transformations applied to the graph of f(x) = x2 to produce the graph of p(x) = –50 + 14x – x2? a shift down 1 unit a shift left 7 units a shift right 1 unit a shift up 7 units
Answer:
Shift down one unit
Step-by-step explanation:
Correct for e2020
The transformation applied to the graph of f(x) to produce the graph of p(x) is:
A). a shift down 1 unit and a shift left 7 units.
What is transformation on the graphs?Let the functions f(x) and g(x) be two real functions.
And g (x) = f (x) + k, where k is real numbers.
The function can be sketched by shifting f (x), k units vertically.
The direction of shift can be found by the value of k:
if k > 0, the base graph shifts k units up, and
if k < 0, the base graph shifts k units down.
The function provided by the basic function f(x) and the constant
g(x) = f(x - k),
may be drawn by horizontally moving the f(x) k unit coordinates.
The shift's direction depends on the value of k. Specifically,
The base graph moves k units to the right if k > 0, and
The base graph moves k units to the left if k < 0.
To determine the transformation applied to the graph of f(x) = x² to produce the graph of p(x) = –50 + 14x – x², we can compare the general forms of the two functions:
f(x) = x²
p(x) = –x² + 14x - 50
The function p(x) can be written as,
p(x) = –(x² - 14x + 49) - 1
p(x) = -(x - 7)² - 1
Therefore, the transformation applied to the graph of f(x) to produce the graph of p(x) is:
A). a shift down 1 unit and a shift left 7 units.
So, the correct answer is A).
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How many liters are in 120 quarts?
1 qt ≈ 0.95 L
Answer:
114 liters
Step-by-step explanation:
120 x 0.95 = 114
Which of the following statements describes the value of the expression 35 – 2x, when x = 6?
Answer:
35-2(6)
= 23
Prime number
Step-by-step explanation:
Answer:
23 . It is a prime number.
Step-by-step explanation:
[tex]35 - 2x \\ x = 6 \\ \\ 35 - 2(6) \\ = 35 - 12 \\ [/tex]
Simplify
[tex]23[/tex]
Write 81% as a fraction. There is no need to simplify your answer.
Answer:
81/100
Step-by-step explanation:
Answer:
81/100
Step-by-step explanation:
A random sample of 17 hotels in Boston had an average nightly room rate of $165.40 with a sample standard deviation of $21.70. The critical value for a 98% confidence interval around this sample mean is ________.
Answer:
153.158 ; 177.642
Step-by-step explanation:
Given the following:
Sample mean (m) = 165.40
Sample standard deviation (s) = 21.70
Sample size (n) = 17
α = 98%
Confidence interval = m ± z(SE)
z at 98% = 2.326
SE = s/√n
SE = 21.70/√17 = 5.2630230
Hence,
Confidence interval = 165.40 ± 2.326(5.2630230)
165.40 - 12.241791498 OR 165.40 + 12.241791498
153.158 ; 177.642
some wanna look at this and help me ?
A architect made a scale drawing of a house to be built. The scale is 2 inches to 3 feet. The house in the drawing is 24 inches tall. How tall is the actual house?
Answer:
36 feet.
Step-by-step explanation:
2 goes into 24 12 times, 12 times 3 is 36 therefore the actual house is 36 feet tall.
Find mo 8 5 m n o
Mo=
Answer:
MO is 13 units
Step-by-step explanation:
If point lies on a segment, then this point divides the segment into two parts, the sum of their lengths equals the length of the segment
∵ Point N ∈ segment MO
→ That means point N divide segments MO to two parts MN and NO
∴ Point N divides segment MO into two parts MN and NO
→ That mans the length of segment MO equals to the sum of
lengths of MN and NO
∴ MO = MN + NO
∵ MN = 8 units
∵ NO = 5 units
∴ MO = 8 + 5
∴ MO = 13 units
Which of the following lists the numbers shown below in order from least to
greatest? Please hurry
SOMEONE HELP PLZ BRAINLIEST
Answer:
f = 3n = -16h = -10z = 7.5x = 54v = -12[tex]d = -\frac{417}{25}[/tex] w = -27.6t = -5w = 43I hope this helps!
Answer:
F=3
n= -16
h= -10
z =7.5
x=54
v= -12
d= -416÷25
w= -27.6
t= -5
w= 43
Alexia had $80.45 in her bank account on Monday. She deposited $20.50 on Tuesday. She then withdrew $37.25 on Wednesday. How much did Alexia have left in her account on Thursday?
---------------------
$100.95-------------------
$100.95-$37.25-----------$63.70-----------She has $63.70 left on ThursdayGraphing combined functions! (25 points)
Step-by-step explanation:
toke a while to finish it, but there you go
cheers and have a good night :D
I need to find the missing angle for this triangle
Answer:
44 degrees
Step-by-step explanation:
Because a right angle triangle if added all angles will=to 180 degrees
so 46+90=136
180-136=44
Answer:
44
Step-by-step explanation:
You add 46 to the 90 degree angle (right angle) and get 136. Then, because the angles of a triangle add up to 180 degrees all the time, you would do 180-136 and get 44.
Simplify powers of i.
ASSIGNMENT
Simplify each of the following powers of i.
I^32
Answer:
i^15=-i
i^32=1
1^99=-i
i^22=-1
hope this helps :)
im sorry for the late answer, i put all the answers incase some one needs them, have a nice day!
Step-by-step explanation:
Answer: The answer is "1".
Step-by-step explanation:
Correct on edgen.
Find the slope of the line that passes through (-5,-6), (-14,10)
Answer:
[tex]m=-\frac{4}{3}[/tex]
Step-by-step explanation:
Formula
[tex]m=\frac{rise}{run}=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Solve
[tex]m=\frac{10+6}{-14+5}=\frac{16}{-9}=-\frac{4}{3}[/tex]
Answer:
Step-by-step explanation:
A=(-5, -6) = (x1 , y1)
B= (-14, 10)= (x2 , y2)
slope= y2 - y1/ x2- x1
=10+6/ -14+5
= 16/ -9
= 4 / -3
Nancy has $700 and is spending $30 per week. Libby has $200 and is saving $20 per week. In how many weeks will Nancy and Libby have the same amount of money?
Simple Answer
Nancy and Libby will have the same amount on week ten.
Expiation
you can dived, repetitive subtraction, or use a number line(s) to get the same answer.
Can someone please help me, ty!! (Will mark brainliest)
Answer:
im gonna say 4 if im wrong its my fault
Let z = z = 8 (cosine (StartFraction pi Over 3 EndFraction) + I sine (StartFraction pi Over 3 EndFraction) ) and w = 3 (cosine (StartFraction pi Over 6 EndFraction) + I sine (StartFraction pi Over 6 EndFraction) ).
Which statement describes the geometric construction of the product zw on the complex plane?
Stretch z by a factor of 3 and rotate StartFraction pi Over 2 EndFraction radians counterclockwise.
Stretch z by a factor of 3 and rotate StartFraction pi Over 6 EndFraction radians counterclockwise.
Stretch z by a factor of 24 and rotate StartFraction pi Over 2 EndFraction radians counterclockwise.
Stretch z by a factor of 24 and rotate StartFraction pi Over 6 EndFraction radians counterclockwise.
Answer:
c on edge
Step-by-step explanation:
fr
Answer:
(B) Stretch z by a factor of 3 and rotate π/6 radians counterclockwise.
Step-by-step explanation:
edge:2022 Happy new year!
The red-tailed tropic bird, Phaethon rubricauda, is an extremely rare sea bird that nests on several islands of the Queensland coast of Australia. As part of a conservation e ort to manage these endangered birds, every nesting pair was measured and weighed. Below are the body weights of these birds (in kg).
Female 2.45 2.57 2.81 2.37 2.01 2.50 2.32
Male 2.86 2.65 2.75 2.60 2.30 2.49 2.84
Required:
a. Determine the following descriptive characteristics for the weights of the females: mean, variance, and standard deviation. Is this a sample or population? Again, pay attention to number of decimal places and appropriate units.
b. Determine the mean, variance, and standard deviation for the male weights.
Answer:
This is a population
a) Female
Mean : 2.432857143kg
Variance: 0.05162040817kg
Standard deviation: 0.2272012504kg
b) Male
Mean : 2.641428571kg
Variance : 0.03432653062kg
Standard deviation: 0.1852742039kg
Step-by-step explanation:
a. Determine the following descriptive characteristics for the weights of the females: mean, variance, and standard deviation. Is this a sample or population? Again, pay attention to number of decimal places and appropriate units.
a) Female: 2.45 2.57 2.81 2.37 2.01 2.50 2.32
Mean
The formula = Sum of term/ Number of terms
Mean = 2.45 + 2.57 + 2.81 + 2.37 + 2.01 + 2.50 + 2.32/7
17.03/7
= 2.432857143kg
Variance
This is a population
Hence: The formula for Population variance =
= (X - Mean)²/N
Where N = Number of terms = 7
= (2.45 - 2.432857143)² + (2.57 -2.432857143)² + (2.81 -2.432857143)² + (2.37- 2.432857143)²+ (2.01 - 2.432857143)²+ (2.50 - 2.432857143)² + (2.32 - 2.432857143)² /7
= 0.0002938775509 + 0.01880816325 + 0.1422367347 + 0.003951020409 + 0.1788081633 + 0.004508163265 + 0.0127367347/7
= 0.3613428572/7
= 0.05162040817kg
Standard Deviation
Formula = √Variance
= √0.05162040817
= 0.2272012504kg
b. Determine the mean, variance, and standard deviation for the male weights
Male 2.86 2.65 2.75 2.60 2.30 2.49 2.84
Mean
The formula = Sum of term/ Number of terms
= 2.86 + 2.65 + 2.75 + 2.60 + 2.30 + 2.49 + 2.84/7
= 18.49/7
= 2.641428571 kg
Variance
= ( 2.86 -2.641428571)² + (2.65 - 2.641428571)² + (2.75 -2.641428571)² + (2.60 +2.641428571)² + (2.30 - 2.641428571)² + (2.49+2.641428571)² (2.84 + 2.641428571)²/7
= 0.0477734694 + 0.00007346938775 + 0.01178775511 + 0.001716326531 + 0.1165734694 + 0.02293061224 +! 0.03943061226/7
= 0.2402857143/7
= 0.03432653062kg
Standard Deviation
= √Variance
= √0.03432653062
= 0.1852742039kg
I really need help I will mark brainliest
Answer:
is there a question orrrr
How many solutions does this equation have
2x + 1 = 2x – 1
The equation of a circle is (x−2)2+(y+6)2=100. Find the equation of a circle that is externally tangent to the given circle and has a center at (18, −6).
Answer:
(x-18)^2+(y+6)^=36
Step-by-step explanation:
circle basic equation is (x-h)^2+(y-k)^2=r^2
center is (18,-6) it is also externally tangent
so
(x-18)^2+(y+6)^2=36 answer
The equation of a circle that is externally tangent to the given circle and has a center at (18, −6) is [tex](x-18)^2+(y+6)^=36[/tex]
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length. Let the center of the considered circle be at (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
Given that the circle basic equation is [tex](x-2)^2+(y+6)^2=100[/tex]
The center is (18,-6) it is also externally tangent;
Therefore,
[tex](x-18)^2+(y+6)^2=36[/tex]
Therefore, the equation of a circle that is externally tangent to the circle is; [tex](x-18)^2+(y+6)^2=36[/tex]
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f(x) = -x^2 + 9x +4
Find f(-8)
Answer:-132
Step-by-step explanation:
The angles shown above form a linear pair. Show all of your work for full credit.
A. What is the angle relationship between these two angles?
B. Set up an equation and solve for n.
C. Substitute your values into the equation and find the measurements of both angles.
Answer:
A. [tex] (4n + 22) + (8n - 10) = 180 [/tex]
B. [tex] n = 14 [/tex]
C. 78° and 102°
Step-by-step explanation:
A. The relationship between the two angles that are a linear pair is: their sum gives us 180°. That is:
[tex] (4n + 22) + (8n - 10) = 180 [/tex]
B. [tex] (4n + 22) + (8n - 10) = 180 [/tex]
Solve for n.
[tex] 4n + 22 + 8n - 10 = 180 [/tex]
Collect like terms
[tex] 12n + 12 = 180 [/tex]
Subtract 12 from both sides
[tex] 12n + 12 - 12 = 180 - 12 [/tex]
[tex] 12n = 168 [/tex]
Divide both sides by 12
[tex] \frac{12n}{12} = \frac{168}{12} [/tex]
[tex] n = 14 [/tex]
C. Plug in the value of 14 to get the measurement of both angles
[tex] (4n + 22) = 4(14) + 22 = 56 + 22 = 78 [/tex]
[tex] (8n - 10) = 8(14) - 10 = 112 - 10 = 102 [/tex]
Determine wheather the given lines are parallel or not. Write the reasons .
Answer:
yes it is parallel because the alternate interior angles are equal
If a =
3
5
, b = 3, c = 1, d = 5, which equality is true?
A)
d
a
=
b
c
B)
a
b
=
c
d
C)
b
a
=
c
d
D)
a
d
=
b
c
Answer:
I'm nauseous, I'm dyin'
(She ripped my heart right out)
Can't find her, someone to
(My eyes are all cried out)
Lost it, riots
Gunfire inside my head, I've
Lost it, riots
Gunfire inside my head 78tt566786876
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
just took this test
David has 574 cereal bars that he wants to fit in bags of 10 and bags of 8. The number of bags of 8 is 2 more than the number bags of 10. How many bags of 8 and 10 can david pack the cereal bar into
Answer: lol have the same question
Step-by-step explanation:
What is the solution set of the quadratic inequality x^2-5<0
Answer:
-√5 < x < √5 .
Step-by-step explanation:
x^2 - 5 < 0
Solving x^2 - 5 = 0
x = √5 and -√5
These are the critical points
The coefficient of x^2 is positive so the graph ( which is a parabola) opens up.
so the region when x^2 - 5 is < 0 is when x > -√5 and < √5
Answer:
D
Step-by-step explanation:
I only have 30 minutes left
Answer:
what is the question?
Step-by-step explanation:
U only posted a picture of a half paragraph
Explain the phrase conservation of energy and provide an example.
Answer:
Conservation of energy, principle of physics according to which the energy of interacting bodies or particles in a closed system remains constant. ... For example, when a pendulum swings upward, kinetic energy is converted to potential energy.
Step-by-step explanation: