Answer:
f(g(1)) = - 2
Step-by-step explanation:
Find g(1) then use the value obtained to find f(x)
g(1) = 1 ← value of y when x = 1 (1, 1 ) , then
f(1) = - 2 ← value of y when x = 1 (1, - 2 )
Can someone help me out please
Consider the function ƒ(x) = (x + 1)2 – 1. Which of the following functions stretches ƒ(x) vertically by a factor of 4?
A) ƒ(x) = 1∕4(x + 1)2 – 4
B) ƒ(x) = (1∕4x + 1)2 + 3
C) ƒ(x) = 4(x + 1)2 – 1
D) ƒ(x) = 4(4x + 1)2 – 1
Answer:
C f(x) = 4(x+1)2-1
Step-by-step explanation:
factor of 4 = 2^2
(x+1)2-1 = 4(x+1) 2-1 = with x
= 4(+1) 2-1 = without x
= (4 - 4) 2 = individual products of -1
= (8 - 8 ) = individual products of 2
= 8 - 8 = 2^2 -2^2
= 2^2 - 2^2
(x+1)2-1 = 4(x+1)2-1 = with x
= 2x^2 -2^2
-x = 2^2 -2^2
x = -2^2-2^2
x = 4
which proves f(x) is a factor of 4
Describe how to determine the average rate of change between x=4 and x=6 for the function f(x)=2x^3+4. Include the average rate of change in your answer.
Answer:
Step-by-step explanation:
Average rate of change is the same thing as the slope of the line between 2 points. What we have are the x values of each of 2 coordinates. What we don't have are the y values that go with those. But we can find them! Aren't you so happy?
We can find the y value that corresponds to each of those x values by evaluating the function at each x value, one at a time. That means plug in 4 for x and solve for y, and plug in 6 for x and solve for y.
[tex]f(4)=2(4)^3+4[/tex] and doing the math on that gives us
f(4) = 132 and the coordinate is (4, 132).
Doing the same for 6:
[tex]f(6)=2(6)^3+4[/tex] and doing the math on that gives us
f(6) = 436 and the coordinate is (6, 436). Now we can use the slope formula to find the average rate of change (aka slope):
[tex]m=\frac{436-132}{6-4}=\frac{304}{2}=152[/tex] where m represents the slope
a) The weekly wages of employees of Volta gold are normally distributed about a mean of $1,250 with a standard deviation of $120. Find the probability of an employee having a weekly wage lying;
Answer:
0.7102
0.8943
0.3696
Step - by - Step Explanation :
A.) Between $1320 and $970
P(Z < 1300) - P(Z < 970)
find the Zscore of each scores and their corresponding probability uinag the standard distribution table :
P(Z < (x - μ) /σ) - P(Z < (x - μ) / σ))
P(Z < (1320 - 1250) /120) - P(Z < (970 - 1250) / 120))
P(Z < 0.5833) - P(Z < - 2.333)
0.7200 - 0.0098 = 0.7102 (Standard
=0.7102
B.)Under 1400
x = 1400
P(Z < 400)
P(Z < (x - μ) /σ)
P(Z < (1400 - 1250) /120)
P(Z < 1.25) = 0.8943
C.) Over 1290
P(Z > 1290)
P(Z < (x - μ) /σ)
P(Z > (1290 - 1250) /120 = 0.3333
P(Z > z) = 1 - P(Z < 0.3333) = P(Z < 0.3333) = 0.6304
P(Z > 0.3333) = 1 - 0.6304 = 0.3696
Which describes the transformations applied in the figure above?
7 units up and 10 units to the left
5 units down and a reflection about the y-axis
5 units up and a counterclockwise rotation of 180 degrees
5 units down and a counterclockwise rotation of 90 degrees
Answer:
Step-by-step explanation:
(4). 5 units down and a counterclockwise rotation of 90 degrees
Option D is the correct answer.
We need to find which options describe the transformations applied in the given figure.
What are the transformations?There are four common types of transformations - translation, rotation, reflection, and dilation. From the definition of the transformation, we have a rotation about any point, reflection over any line, and translation along any vector. These are rigid transformations wherein the image is congruent to its pre-image. They are also known as isometric transformations. Dilation is performed at about any point and it is non-isometric.
From the given figure we can see 5 units down and a counterclockwise rotation of 90°.
Therefore, option D is the correct answer.
To learn more about the transformation visit:
https://brainly.com/question/11709244.
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Hank has a bottle of diluted syrup that is 60% maple syrup and a bottle of pure syrup that is 100% maple syrup in his restaurant. How many ounces of pure syrup should he mix with the diluted syrup in order to make 100 ounces of 85% maple syrup? Express your answer as a decimal rounded to the nearest hundredth if necessary.
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Answer:
62.5 oz of 100%
Step-by-step explanation:
Let p represent the number of ounces of pure syrup. Then (100-p) is the number of ounces of 60% syrup. The amount of maple syrup in the desired mix is ...
p +0.60(100 -p) = 0.85(100)
0.40p +60 = 85 . . . . . . . . . . . simplify
0.40p = 25 . . . . . . . . . . subtract 60
p = 62.5 . . . . . . . . . divide by 0.4
62.5 ounces of pure syrup should be mixed with the diluted syrup to make 100 ounces of 85% maple syrup.
_____
The other 37.5 ounces will be 60% syrup.
50 POINTS PLEASE HELP ME
Answer:
4 -6x^2
Step-by-step explanation:
f°g = f(g(x))
We place g(x) in for x in the function f(x)
= 4-2(g(x)) = 4-2(3x^2) = 4 -6x^2
B.4-6x²
Answer:
Solution given:
f(x)=4-2x
and
g(x)=3x²
now
f o g(x)=f(g(x))=f(3x²)=4-2*3x²=4-6x²
What are the equations of the asymptotes for the functiony=tan2pix where 0
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Answer:
(b) x = 0.25, 0.75, 1.25, 1.75
Step-by-step explanation:
The asymptotes of tan(α) are found at ...
α = π/2 +nπ
We want to find x such that ...
2πx = α = π/2 +nπ
Dividing by 2π gives ...
x = 1/4 +n/2 . . . . . . . for integers n
In the desired range, the values of x are ...
x = 0.25, 0.75, 1.25, 1.75
write your answer in simplest radical form
Answer:
n = 8√2
Step-by-step explanation:
It's a 30-60-90 triangle, so n = 2×4√6/√3 = 8√2
HELP PLS DUE IN 6 MINUTES
6TH GRADE MATH
Answer:
C
Step-by-step explanation:
trust me its easy
Answer:
C: None of the above
Step-by-step explanation:
Brad is 12 years older than Sam. If Brad were 8 years older than he is now, he would
be twice as old as Sam. How old is Sam now?.
Answer:
Sam is 20 years old.
Which statement IS true
about the equations -3x + 4y = 12 and +X- ~Y - 1?
The system of the equations has exactly one solution
at -8, 3).
• The system of the equations has exactly one solution at (-4, 3).
• The system of the equations has no solution; the two lines are parallel.
• The system of the equations has an infinite number of solutions represented by either equation.
Answer:
Second one(Not sure)
Step-by-step explanation:
I believe the system doesn't have an exact answer. But the line are parallel because of (3).
Britany wants to read a book. In her room, she has 5 mysteries, 15 historical fictions, 12 modern fantasies, and 7 blographies. how many different choices are available ?
a. 78
b. 34
c. 32
d.39
Answer
I guess
39 different choice are available
HELP ASAP!!!!!!!PLEASE SHOW WORK!!!!!! !!!!!
Answer:
Area = 12.82 miles²
Step-by-step explanation:
Area of a triangle with two adjacent sides and the inscribed angle between these side is given by,
Area = [tex]\frac{1}{2}ab[\text{sin(C)}][/tex]
By substituting the values of sides a, b and the angle C,
Area = [tex]\frac{1}{2}(5.7\times 9.3)[\text{sin}(14^{\circ})][/tex]
= 12.82 square miles
how to bring the polynomial to the standard form p(x) x^2-2x+4) (x^2+2x+4)
[tex]\rightarrow\sf((p(x) {x}^{2} + 2x + 4)( {x}^{2} + 2x + 4)) \\ = \sf {ax}^{2} + bx + c \\ = \sf(p(x) {x}^{2} {x}^{2} + p(x) {x}^{2} (2x) + p(x) {x}^{2} \times 4 + 2x \times {x}^{2} + 2x(2x) + 2x \times 4 + {4x}^{2} + 4(2x) + 4 \times 4) \\ = \sf( {x}^{4} p(x) + {2x}^{3} p(x) + {4x}^{2} p(x) + {2x}^{3} + {8x}^{2} + 16x + 16) \\ \rightarrow \large\boxed{\sf\red{{{x}^{4} p(x) + {2x}^{3} p(x) + {4x}^{2} p(x) + {2x}^{3} + {8x}^{2} + 16x + 16}}}[/tex]
Answer:[tex]\large\boxed{\sf{\red{{x}^{4} p(x) + {2x}^{3} p(x) + {4x}^{2} p(x) + {2x}^{3} + {8x}^{2} + 16x + 16}}}[/tex]
[tex]\color{red}{==========================}[/tex]
✍︎ꕥᴍᴀᴛʜᴅᴇᴍᴏɴǫᴜᴇᴇɴꕥ
✍︎ꕥᴄᴀʀʀʏᴏɴʟᴇᴀʀɴɪɴɢꕥ
✍︎ꕥᴋɪᴍ ᴀʀᴀꕥ
A rectangular plot of land is 100 feet long and 50 feet wide. How long is the walkway along the diagonal? Round to the
nearest foot
A) 75 feet
B) 87 feet
C) 112 feet
D) 150 feet
Answer:
Step-by-step explanation:
Which expression is equivalent to One-fourth minus three-fourths x?
Answer:
C: 112 feet
Step-by-step explanation:
Name different types of triangles and illustrate how you can introduce each triangle to the foundation phase learner during a lesson presentation. Mention the resources that you will use
The types of triangles are: equilateral, isosceles, scalene, right angled, acute angled and obtuse angled triangle.
Triangles are plane shapes with three straight sides. Triangles are classified with respect to either their length of sides, or the measure of each internal angles.
1. Classification of triangles with their length of sides:
i. Equilateral triangle: This implies a triangle with equal length of sides.
ii. Isosceles triangle: This triangle has two of its side with equal length.
iii. Scalene triangle: In this triangle, non of its sides has equal length.
2. Classification of triangles with their internal angles:
i. Acute angled triangle: This triangle has all its angles less than [tex]90^{o}[/tex].
ii. Right angled triangle: This has one of its angles to be a right angle.
iii. Obtuse angled triangle: This triangle has one of its internal angles to be greater than [tex]180^{o}[/tex].
Therefore, there are generally six types of triangles of two classes.
Resources: Set squares, triangular prism, marking board and a marker etc.
For more information: https://brainly.com/question/18075714
Simplify the radical expression.
Step-by-step explanation:
the answer is in the image above
Answer:
[tex]-\sqrt{5q^{3} } \times3\sqrt{35}[/tex]
[tex]-\sqrt{5} \times\sqrt{q^{3} } \times3\sqrt{5} \times\sqrt{7}[/tex]
[tex]-15\sqrt{7q^{3} }[/tex]
------------------------
Hope it helps...
have a great day!!
HELP What is true about the dilation?
On a coordinate plane, the image rectangle has points (0, 0), (0, 8), (9, 8), (8, 0). The pre-image has points (0, 0), (0, 2.5), (3, 2.5), (3, 0).
It is a reduction with a scale factor between 0 and 1.
It is a reduction with a scale factor greater than 1.
It is an enlargement with a scale factor between 0 and 1.
It is an enlargement with a scale factor greater than 1.
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Answer:
(d) enlargement with scale factor greater than 1
Step-by-step explanation:
The image is obviously larger than the pre-image, so the dilation is an enlargement. The scale factor associated with an enlargement is always greater than 1.
__
Additional comment
In this drawing, the scale factor in the vertical direction is 8/2.5 = 3.2. The scale factor in the horizontal direction is 9/3 = 3.0. The scale factors are different in the different directions.
Answer:
D.
Step-by-step explanation:
66. If the length of one side of a triangle 6 and the length of another side is 2, which of the following cannot be the length of the third side of the triangle?
A) 8
B) 7
C)
D) 5
Answer:
A)
Step-by-step explanation:
what is C ? 6 ?
if that is the case, then my answer is A) 8
why ? because then the other 2 sides together are just as long as this third side, and we would have just a flat line with the length of 8.
every side in a triangle must be shorter than the other two sides together.
but - fully formally such a flat line could be considered a special triangle with 2 angles of 0 degrees and one angle of 180 degrees.
that is why I am asking about the missing C answer. it could be a trick question. but if C is truly 6, then yes, A is the right answer. if C is larger than 8, then C is the right answer.
The following data on price () and the overall score for stereo headphones that were tested by Consumer Reports were as follows. The estimated regression equation for these data is
(y-hat) = 27.922+0.302x
Brand Price Score
Bose 180 76
Scullcandy 160 76
Koss 95 69
Phillips/O'Neill 70 58
Denon 80 50
JVC 35 26
Required:
Does the t test indicate a significant relationship between price and the overall score?
Answer:
Relationship exists between price and overall score
Step-by-step explanation:
Given the data:
Brand Price Score
Bose 180 76
Scullcandy 160 76
Koss 95 69
Phillips/O'Neill 70 58
Denon 80 50
JVC 35 26
Using the correlation Coefficient calculator ; the correlation Coefficient, R = 0.875
H0 : no relationship exists
H1 : relationship exists
Using the R Coefficient ;
The test statistic :
T = r / √(1 - r²) / (n - 2)
n = 6
The test statistic :
T = 0.875 / √(1 - 0.875²) / (4)
T =0.875 / 0.05859375
T = 0.9333
The Pvalue from test statistic :
df = n - 2 ; 6 - 2 = 4
Pvalue(0.933, 4) = 0.02246
At α = 0.05
Pvalue < α ; We reject H0 ; and conclude that relationship exists between price and overall score
when 3a^2-2a+5 is subtracted from a^2+a-1 the result is
Jessy pastes stamps for 160 envelopes in 2 hours. If she pastes the stamps at the same rate, for how many envelopes can she paste stamps in 30 minutes ?
2 hours=160
1 hours=160÷2=80
30 minutes=80÷2=40
Answer:She can paste 40 stamps in 30 minutes
Ravi bought 50kg rice at the rate it tk40 per kg and sold it at the rate of tk44 per kg. What is the amount of profit or loss?
Here is your Answer
Step-by-step explanation:
Ravi bought rice = 50kg
Rate it =40kg
Sold it at the rate = = 44kg
Answer: -34Mark me as brainlist and give me 20 thx plsAn astronaut on the moon throws a baseball upward. the astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is 50 ft per sec. the height s of the ball in feet is given by the equation s=-2.7t^2+50t+6.5 , where t is the number of seconds after the ball was thrown. complete parts a and b.
Answer:
Step-by-step explanation:
This was answered in question #24217201. It's the exact same question, but you forgot to put what parts A and B are. The answers and the work are there.
2. (03.05)
A cell phone plan has a monthly cost that is shown in the table below. What is the correct statement regarding the average rate of change during the 40-minute time of talk?
X Total min of talk time
0
10
20
30
40
Y Monthly cost of cell phone in $
14.95
15.95
16.95
17.95
18.95
Answer:
The average change rate increases by a dollar for every 10 minutes you speak.
Step-by-step explanation:
If you do not speak at all you pay the standard price.
After that, If you add 10 minutes to your talk time, you add a dollar to your payment
hope it helps c:
Which phrase describes an unknown or changeable quantity
Answer:
a variable
Step-by-step explanation:
because it varies
help needed right away this is timed
find the measure of the largest exterior angle
Answer:
116 degrees
Step-by-step explanation:
To find the answer, we must know what the sum of exterior angles are on a given shape, which is 360 degrees.
So, let's put the equation up.
8x-21+4x-13+5x-11+6x+14=360
Let's add all the x variables together to simplify it. And also add the number together too.
8x+4x+6x+5x= 23x
(-21)+(-13)+(-11)+14 = -31
The equation we have is in its initial simplified version. Let's simplify it even more to solve.
23x-31=360
Add 31 to both sides.
23x=391
Divide 23 on both sides to find x.
391/23 = x
x= 17
Let's put the value x in each exterior angle.
A= 8(17)-21 = 115 degrees
B= 6(17)+14 = 116 degrees
C= 5(17)-11 = 74 degrees
D= 4(17)-13 = 55 degrees
From the work above, we know B is the largest exterior angle, which is 116 degrees.
Hope this helps!
HELP ASAP PLEASE!!
stroller rental at the zoo costs $14.00 per day, but members get an 8% discount. What price do members pay for stroller rental?
Answer:
$10.08
Step-by-step explanation:
100%=$14
72%= x (cross multiple)
100% × x =72% × $14
100x =1008
divide both sides by 100
100x÷100=1008÷100
x=$10.08
