The slope f '(x) at each point (x, y) on a curve. y = f (x) is given along with a particular point (a, b) on the curve. Use this information to find f (x).
[CLO-3] f '(x) = 9 x 2 + 4 x - 4; (0, -7)
Answer:
Step-by-step explanation:
Integrating each term with respect to x, we get:
x^3 x^2
f(x) = 9--------- + 4------- - 4x + C
3 2
We are told that if x = 0, f(x) = -7, and so C must equal - 7.
The solution is
x^3 x^2
f(x) = 9--------- + 4------- - 4x - 7, or f(x) = 3x^3 + 2x^2 - 4x - 7
3 2
What is the reflection across y=x and y=-x. Just the general definition of what it means.
Answer: When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x).
Reflection in the y -axis:
The rule for a reflection over the y -axis is (x,y)→(−x,y) .
Reflecting over any other line. Notice how each point of the original figure and its image are the same distance away from the line of reflection (x = –2 in this example).
It is simple enough to identify whether or not a given function f(x) is a linear transformation. Just look at each term of each component of f(x). If each of these terms is a number times one of the components of x, then f is a linear transformation. are linear transformations.
First shift three units to the left, so the line of reflection becomes the y axis, then flip, and finally remember to shift three units back to the right to put the center line back where it belongs. (This gives the f(6−x) solution you already know).
More information for you..
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if 6 is added to three quarters number of a certain number the result is 42 find the original number
Answer:
48
Step-by-step explanation:
6 + x×3/4 = 42
24 + 3x = 168
3x = 144
x = 48
can anyone help for me in this questions
Answer:
Step-by-step explanation:
Note : any number or variable with it's power 0 is considered as one.
Last one is the solution to find the two ration numbers between 2/5 and 3/4 (question which u asked just before this question).
I need help please no links or I will have you reported
Answer:ʜᴛᴛᴘꜱ://ᴡᴡᴡ.ʏᴏᴜᴛᴜʙᴇ.ᴄᴏᴍ/ᴡᴀᴛᴄʜ?ᴠ=ᴅQᴡ4ᴡ9ᴡɢxᴄQ
Step-by-step explanation:
Heres the answer but its on a another page.
Im joking
here's the answer
the first one is 878 i think that what your looking for at the top
Potential customers arrive at a full-service, one-pump gas station at a Poisson rate of20 cars per hour. However, customers will only enter the station for gas if there are no more than two cars (including the one currently being attended to) at the pump. Suppose that the amount of time required to service a car is exponentially distributed with a mean of five minutes.
Required:
a. What fraction of the attendant’s time will be spent servicing cars?
b. What fraction of potential customers are lost?
Answer:
a) 19/20
b) 1/20
Step-by-step explanation:
a) calculate the fraction of the attendants time will be spent servicing cars
l / L > 0 = Ц / [ Ц - λ ] = 20 --- ( 1 )
Ц (service ) = 15 hour
∴ λ ( arrival rate ) = 14.25
P = λ / Ц = 14.25 / 15 = 0.95 = 19/20
b) Fraction of potential customers lost
Ls = P / ( 1 - P )
where ; P = 19/20
Ls ( fraction of potential customers lost ) = 19/20 / ( 1 - 19/20 ) = 19
hence proportion of customers lost = 1 - 19/20 = 0.05 = 1/20
please help me...........
Experience shows that few students hand in their statistics exams early; most prefer to hand them in near the end of the test period. This means the time taken by students to write exams is positively skewed.
a. True
b. False
Answer:
False
Step-by-step explanation: 6 28 13 50
skewing to the right of a sysmetrical distribution is a negative skew
There are 49 non-fiction books on my shelf. The remaining 75% of
books are novels. How many books are on my shelf?
Step-by-step explanation:
the answer is in the above image
In a math class, 9 pupils receive a grade of 90. If 18% of the class got 90, how many pupils are there in a class?
Answer:
Let the total number of pupil be x.
Given that,
Number of pupils that received a grade of 90=9
Percentage of pupil that receive a grade of 90=18%
So,
18% of x=9
18x/100=9
x=50
Hence, there are 50 pupils in the class.
Please help me with math problems!
20 points for all questions plz
Answer:
Step-by-step explanation:
[tex]Circumference = 2 \pi r[/tex]
1) r = 11 feet
Circumference = 69.1 ft
2) r = 7yd
Circumference = 43.98 = 44 yd
3) r = 6.3 m
Circumference = 39.6
4) r = 11.8 ft
Circumference = 74. 1 ft
5) r = 2 km
Circumference = 12.6 km
6) r = 9 mi
Circumference = 56.6 mi
7) r = 6 ft
Circumference = 37. 7ft
8) r = 8. 4 ft
Circumference = 52.8 ft
[tex]Circumference = 2 \pi r = \pi \times 2r = \pi \times d \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ diameter, d = 2r \ ][/tex]
11) d = 4m
Circumference = 12.6 m
12) d = 22 mi
Circumference = 69.1 mi
13) d = 5m
Circumference = 15.7 m
14) d = 8yd
Circumference = 25.1 yd
15) d = 16.8 m
Circumference = 52.8 m
16) d = 6cm
Circumference = 18.9 cm
17) d = 14 in
Circumference = 43.98 = 44 in
18) d = 16km
Circumference = 50. 3 km
Answer:
1) 69.1
2) 44
3) 39.6
4) 74.1
5) 12.6
6) 56.5
7) 37.7
8) 52.8
11) 12.6
12) 69.1
13) 15.7
14) 25.1
15) 52.8
16) 18.8
17) 44
18) 50.3
This was a lot but I'm pretty sure all are right
PLEASE ANSWER ASAP - I WILL MARK BRAINLIEST!!!!!!!!
Answer:
2/3
Step-by-step explanation:
P ( 8 or more) = number that are 8 or more) / total
= (6+4) / ( 2+3+6+4)
= 10/15
=2/3
what is the value of 3 3/8+1/2 ÷ 4/5 × 2
Answer:
ans: 37/ 32
Step-by-step explanation:
(33/8 + 1/2 ) / ( 4/5 ×2)
= { ( 33 + 4) / 8} / ( 8 / 2)
= 37/ (4×8)
= 37 / 32
2097152 in exponential form
Answer:
do you mean scientific notation ?
2.097152 x [tex]10^{6}[/tex]
Step-by-step explanation:
What is a demand schedule?
А.
a chart that shows the demand for a type of product at various prices
B.
a graph that shows the demand for a product at a single price point
C.
a chart that shows the demand for a product at various prices
Answer:
Answer is C
Step-by-step explanation:
In demand when the price goes up the quantity goes up and when the price goes down the quantity also goes down
In Supply when the price goes up the quantity goes down and when the price goes down the quantity goes up
Demand Schedule is a Chart
Demand Curve is a graph
Supply Schedule is a Chart
Supply Curve is a graph
Hope this helps
Step-by-step explanation:
[tex]hope \: it \: helps[/tex]
Question 11 of 40
Factor this polynomial completely.
x2 - 6x + 9
A. (x+3)(x+3)
B. Does not factor
C. (x-3)(x - 3)
D. (x+3)(x-3)
heyyy I need this done in 30 min please someone helppp
Answer:
1979
91%
Step-by-step explanation:
Given the relation :
P = (318t + 6792) / (1.19t + 107.36)
P = % of household with PC
t = years since 2000
1.) We need to find t, when P = 85%
P = 0.85
0.85 = (318t + 6792) / (1.19t + 107.36)
0.85(1.19t + 107.36) = (318t + 6792)
1.0115t + 91.256 = 318t + 6792
Collect like terms :
1.0115t - 318t = 6792 - 91.256
−316.9885t = 6700.744
t = 6700.744 / - 316.9885
t = - 21.138760
t = - 21 years
2000 - 21 years = 1979
Percentage who had computer in 2014
t = 2014 - 2000 = 14
P = (318(14) + 6792) / (1.19(14)+ 107.36)
P = (4452 + 6792) / (16.66 + 107.36)
P = 11244 / 124.02
P = 90.6627
P = approximately 91%
rrect answer.
Which of the following represents a function?
OA
{(-1,-11), (0,-7), (1,-3), (-1,5), (2,0)}
OB.
4
-1
6
0
У
4
.
X
-4
1
-2
Find the missing segment in the image below
The right prism shown has a surface area of 414 in.² what is the value of X in inches
Answer:
4 in
Step-by-step explanation:
area right : Ar = 5x
area left : Al = 11x
area top : At = 5x
area bottom : Ab = 13x
area front : Afr = rectangle 13×11 minus area triangle
triangle (right-angled) : (11-5)×(13-5)/2 = 24 in²
Afr = 13×11 - 24 = 119 in²
area back = area front = 119 in²
sloped area : As = 10x
all individual shapes in the surface of the object are rectangles except the 2 areas in the front and in the back, where we had to calculate the complete rectangle and then subtract the cut off triangle area.
so, in total we have
414 = 5x+11x+5x+13x+119+119+10x = 44x + 238
176 = 44x
x = 4 in
Which of the following represents the graph of f(x) = 4X – 2?
Answer:
The bottom one.
Step-by-step explanation:
Consider the difference below.
x-3/x^2-x-5 - 5/8x
Place the steps require to simplify the given difference of two expressions into one, simplified rational expression in the correct order.
Answer: x-3/(x-3)(x+2) - 5/8x ➡️ 1/x+2 - 5/8x ➡️ 8x-5(x+2)/(x+2)(8x) ➡️ 3x-10/8x^2+16x
Just did this the other day...
The steps to simplify the expression (x - 3) / (x² - x - 5) - (5 / 8x) are,
Find the common denominator: LCM of (x² - x - 5) and 8x is 8x(x² - x - 5).
Rewrite the first fraction with the common denominator: [(x - 3)× 8x] / [8x(x² - x - 5)] - (5 / 8x).
Combine the fractions: [(8x² - 24x) - 5(x² - x - 5)] / [8x(x² - x - 5)].
Factor the denominator: 8x(x² - x - 5).
Simplify the expression: (8x² - 5x²) + (-24x + 5x) + 25 / [8x(x² - x - 5)].
Further simplify the numerator: 3x² - 19x + 25.
Final result: (3x² - 19x + 25) / [8x(x² - x - 5)].
To simplify the given difference of two expressions into one, simplified rational expression, follow these steps in the correct order:
Find a common denominator for the two fractions.
The common denominator for the fractions is the least common multiple (LCM) of the individual denominators, which are (x² - x - 5) and 8x. The LCM is 8x(x² - x - 5).
Rewrite the first fraction with the common denominator.
(x - 3) / (x² - x - 5) - (5 / 8x) = [(x - 3) × 8x] / [8x(x² - x - 5)] - (5 / 8x)
Combine the fractions by subtracting them.
= [(8x² - 24x) - 5(x² - x - 5)] / [8x(x² - x - 5)]
Factor the denominator of the resulting expression (if possible).
The denominator 8x(x² - x - 5) is already factored.
Simplify the expression, if possible.
= [8x² - 24x - 5x² + 5x + 25] / [8x(x² - x - 5)]
Combine like terms in the numerator.
= (8x² - 5x²) + (-24x + 5x) + 25 / [8x(x² - x - 5)]
Simplify the numerator further.
= 3x² - 19x + 25 / [8x(x² - x - 5)]
Therefore , the final simplified rational expression is equal to (3x² - 19x + 25) / [8x(x² - x - 5)].
learn more about expression here
brainly.com/question/34132400
#SPJ2
Which best describes the range of the function f(x) = 2(3)x?
Answer:
y > 0.
Step-by-step explanation:
A.
7.5 7 2/5 7.69 in order
Answer:
ok for this problem lets convert all of the number into decimals to make it easier.
7.5 is already a decimal
7 2/5 as a decimal is 7.4
7.69() is already a decimal
ok so 7.4 is lowest
7.5 is next
7.69 is highest
Answer:
In order from least to greatest is [tex]7\frac{2}{5},7.5,7.69[/tex]
Step-by-step explanation:
In order from greatest to least is the other way around
[tex]2/5 = 0.4[/tex]
So [tex]7.4[/tex]
Hope this is helpful
Write equation could use to find number of centimeters in 1 inch.
Answer:
0.393701 cm = 1 in
Step-by-step explanation:
We want to find the number of centimeters in 1 inch.
First, the two conversion rates we need to use:
1m = 100 cm
1m = 39.3701 in
From these two equations, we can conclude that:
100cm = 1m = 39.3701 in
100cm = 39.3701 in
Because we want to find the total number of centimeters in 1 inch, we need to divide both sides by 39.3701
We will get:
(100cm)/39.3701 = (39.3701 in)/39.3701
0.393701 cm = 1 in
This equation gives us the number of centimeters in one inch.
Given f(x)=10-2x, find f(7)
Answer:
-4
Step-by-step explanation:
f(x) = 10 - 2x
substitute 7 in place of x
f(7) = 10 -2*7
=10 - 14
=-4
therefore the value of f(7) is -4.
Help please!!!!! I don't really get this, help asap.
Answer:
7 boxes
Step-by-step explanation:
We can use ratios to solve
12 bars 42 bars
---------- = ---------------
2 boxes x boxes
Using cross products
12x = 2 *42
12x = 84
Divide by 12
12x/12 = 84/12
x = 7
TIME REMAINING
54:56
Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob’s cost for his truck was $112.96 for 138 miles. Carl’s cost for his truck was $142.78 for 209 miles. Which equation can be used to represent the cost of the rental truck?
Round to the nearest hundredth if necessary.
y = 71 x minus 29.82
y = 25 x minus 66
y = 0.42 x + 71
y = 0.42 x + 55
Answer:
[tex]y = 0.42x+55[/tex]
Step-by-step explanation:
Given
Let:
[tex]x \to miles[/tex]
[tex]y \to amount[/tex]
[tex](x_1,y_1) = (138,112.96)[/tex] ---- Bobs'
[tex](x_2,y_2) = (209,142.78)[/tex] --- Carl
Required
The equation
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{142.78 - 112.96}{209 - 138}[/tex]
[tex]m = \frac{29.82}{71}[/tex]
[tex]m = 0.42[/tex]
The equation is calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 0.42(x - 138) + 112.96[/tex]
[tex]y = 0.42x - 57.96 + 112.96[/tex]
[tex]y = 0.42x+55[/tex]
On a coordinate plane, Rectangles A B C D and E F G H are shown. The length of side A B is 6 units and the length of side B C is 3 units. The length of side E F is 8 units and the length of side F G is 4 units.
Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?
Yes, because corresponding sides are parallel and have lengths in the ratio Four-thirds
Yes, because both figures are rectangles and all rectangles are similar.
No, because the center of dilation is not at (0, 0).
No, because corresponding sides have different slopes.
Answer:
im doing the same one, i believe it is D
Step-by-step explanation:
Answer:
a- yes because corresponding sides are parallel and have lengths in the ration 4/3
Step-by-step explanation:
just did the test
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Answer:
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