Answer:
f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
My answer is the neat listing of each of my results, clearly labelled as to which is which.
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}
How to calculate the sin, cos, and tan. (Trigonometry)
Answer:
Please see the attached picture for full solution.
What is the length of AB? Round your answer to the nearest
hundredth. Hint: The nearest hundredth means the second place to
the right of the decimal point. This is not the answer! For example,
12.06
Ay
B
2.
х
-2
O
-2
Write the equation g(x) of the transformation of the parent graph f(x) = |x| stretched vertically by a factor of 2, reflected over the x-axis, and translated left 1 unit and down 3 units.
Answer:
g(x) = -2|x+1| -3
Step-by-step explanation:
f(x) = |x|
y = f(x) + C C < 0 moves it down
y = |x| -3 for shifting down 3
y = f(x + C) C > 0 moves it left
y = |x+1| -3 for move it left 1
y = Cf(x) C > 1 stretches it in the y-direction
y = 2|x+1| -3 to stretch it 2 vertically
y = −f(x) Reflects it about x-axis
y = -2|x+1| -3
We start off with f(x) = |x|
c < 0 means move down
y = f(x) + c
3 units down
After: y = |x| - 3
c > 0 means move left
y = f(x + c)
1 unit left
After: y = |x + 1| - 3
c > 1 means y direction stretch
y = cf(x)
2 unit stretch
After: y = 2|x + 1| - 3
Reflect across x-axis can be stated as y = -f(x)
After: y = -2|x + 1| - 3
Best of Luck!
6x – 3y = 36 find ySolve the equation below for y.
Answer:
y = 2x -12
Step-by-step explanation:
6x – 3y = 36
Subtract 6x from each side
6x-6x – 3y =-6x+ 36
-3y = -6x +36
Divide by -3
-3y/-3 = -6x/-3 +36/-3
y = 2x -12
Three boys cut out hundredths decimal models. Luke shades three fourths of one model. Owen shades four small squares of one model. Jacob shades two full models and nine tenths of another model. What decimal represents the amount each boy shades?
Answer:
Luke = 0.75
Owen = 0.04
Jacob = 2.9
Step-by-step explanation:
A model = 100 small squares
100 small squares = 1
Luke shades three fourths of one model.
Luke = 3/4 of 1 model
= 3/4 × 1
= 0.75
Owen shades four small squares of one model.
Owen = 4/100
= 0.04
Jacob shades two full models and nine tenths of another model
Jacob = 2 + 9/10
= 2 + 0.9
= 2.9
Luke = 0.75
Owen = 0.04
Jacob = 2.9
Due tonight
Please help!!!!!
angle BGC and angle BAD
solve for v bellow. 8(z-5)=16
Answer:
z=7
Step-by-step explanation:
8(z-5)=16
Divide by 8
8/8(z-5)=16/8
z-5 = 2
Add 5 to each side
z-5+5 = 2+5
z = 7
Answer:
z = 7
Step-by-step explanation:
Expand 8 ( z - 5 ) = 16 first.
8z - 40 = 16
Move 40 to the other side.
8z = 40 + 16
8z = 56
z = 7
if 20 percent of item is 360,what is 85 percent of the item
y varies directly as x = 1/2 and y = 5/4. what is x when y is 60
Answer:
X is 24
Step-by-step explanation:
mark me brainliest!!!!
convert 0.68 to a percent
Answer:68%
Step-by-step explanation:0.68*100
Answer: 68%
Step-by-step explanation: We can change a decimal to a percent
by moving the decimal point two places to the right.
So in this problem, to change 0.68 to a percent,
we move the decimal point two places to the right.
So we have 68%.
So 0.68 can be written as 68%.
8x^2+5=22x Need help learning factoring please put work so I can understand
Answer: (2x - 5) • (4x - 1)
STEP 1 : Equation at the end of step 1
(23x2 - 22x) + 5
STEP 2 : Trying to factor by splitting the middle term
2.1 Factoring 8x2-22x+5
The first term is, 8x2 its coefficient is 8 .
The middle term is, -22x its coefficient is -22 .
The last term, "the constant", is +5
Step-1 : Multiply the coefficient of the first term by the constant 8 • 5 = 40
Step-2 : Find two factors of 40 whose sum equals the coefficient of the middle term, which is -22 .
-40 + -1 = -41
-20 + -2 = -22 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -20 and -2
8x2 - 20x - 2x - 5
Step-4 : Add up the first 2 terms, pulling out like factors :
4x • (2x-5)
Add up the last 2 terms, pulling out common factors :
1 • (2x-5)
Step-5 : Add up the four terms of step 4 :
(4x-1) • (2x-5)
Which is the desired factorization
Final result : (2x - 5) • (4x - 1)
Am I correct with this?
Answer:
no
Step-by-step explanation:
u can cut the trapesoid in half and make it into a rectangle then get ur answer
The formula A = Pe^rt gives the balance A of an account earning what type of interest?
The formula A = Pert gives the balance A of an account earning interest compounded daily.
The formula A = Pert gives the balance A of an account earning interest compounded monthly.
The formula A = Pert gives the balance A of an account earning interest compounded continuously.
The formula A = Pert gives the balance A of an account earning interest compounded quarterly.
From the given options, Option (C) shows the type of compound interest earned.
Formula for the compound interest earned continuously is given by,
[tex]A=P.e^{rt}[/tex]
Here, [tex]A=[/tex] Final amount
[tex]P=[/tex] Principal amount
[tex]r=[/tex] rate of interest
[tex]t=[/tex] Time
Therefore, Option (C) will be the correct option.
Learn more,
https://brainly.com/question/10321316
Find the coordinates of the vertex of g(x) = |x + 1| - 2.
A. (-2, -1)
B. (-2, 1)
C. (-1, -2)
D. (1, -2)
Answer:
The vertex will be at ( -1,-2)
Step-by-step explanation:
g(x) = |x + 1| - 2.
The vertex of g(x) = |x | is ( 0,0)
y = f(x) + C C < 0 moves it down
y = f(x + C) C > 0 moves it left
We shift this to the left 1 unit and down 2 units
( 0 -1, 0-2)
The vertex will be at ( -1,-2)
Given: g(x) = |x + 1| - 2.
We start at g(x) = |x| at (0, 0)
c < 0 moves it down
y = f(x) + c
2 units down
c > 0 moves it left
y = f(x + c)
1 unit to the left
After the shift, we see the vertex being at (-1, -2).
Best of Luck!
What is the equation of the following line written in general form?
Answer:
add 1;6 and 6,2 hope this helps ;)
I'm really confused about this question,
-(q+7) = -6q + 8
-1/8n= -2/7 whats the n value?
Answer:
16 /7
Step-by-step explanation:
multiply both sides by -8 then simplify
I’m trying to do the math but I keep getting mixed up. I keep forgetting wether or not I should add a zero.
This is the question by the way:
1.09 x 5.4
Mrs. Start's class paid $5.60 for 4 5 yd of lace for an art project. Later, the class decided to buy another 7 3 4 yd of the same lace to make costumes for the school musical. How much money do they need for this second purchase?
Which of the following prefixes represents the largest value?
Giga
Hector
Kilo
Milli
the answer is giga
Step-by-step explanation:
cause giga stands fir 1,000,000,000 1 billion
Answer:
giga
Step-by-step explanation:
please answer i need it fast!!!!!!!!
145 is the answer bruh i cant type
Lilyworks for a florist. She worked 20hours last week and earned $200.00. At that rate, how much will she earn if she works for 10 hours?
Answer:
$100
Step-by-step explanation:
Answer:
$100
Step-by-step explanation:
She will earn $100 because since 20 is just 10 times 2, she will earn half as much as she did in 20 hours. 200/2 is 100.
find the length and breadth of a rectangular plot whose area is 660square metre and perimeter is 104metre
Answer:
Step-by-step explanation:
let length=l
breadth=b
l×b=660
2(l+b)=104
l+b=104/2=52
b=52-l
l×(52-l)=660
52l-l²=660
l²-52l+660=0
l²-22l-30l+660=0
l(l-22)-30(l-22)=0
(l-22)(l-30)=0
l=22,30
when l=22,b=52-22=30
when l=30,b=52-30=22
l>b
so l=30m
b=22m
Answer:
W = 22 m
L = 30 m
Step-by-step explanation:
given:
area is 660square metre and perimeter is 104metre
find:
the length and breadth of a rectangular plot
----------------------------------------------------------------
1. area of rectangle (A) = L x W
2. Perimeter of a rectangle (P) = 2L + 2W
where:
A = 660 m²
P = 104 m
solve for L using formula 1.
A = L x W
660 = L x W
L = 660 / W
solve W using formula 2 and use L = 660 / W
P = 2L + 2W
104 = 2 (660) + 2W
W
104W = 1320 + 2 W²
-2W² + 104W = 1320
solve W using quadratic equation:
W = 22 m; ( 30 m = L)
plugin W=22 into L = 660 / W to solve L:
L = 660 / 22
L = 30 m
1.) 6 quarts liters *(1 QUART = 0.946 LITERS) help please
Answer:
Let me figure it out first then I will give you the answer.
Eliza's backpack weighs 18 and StartFraction 7 over 9 EndFraction pounds with her math book in it. Without her math book, her backpack weighs 14 and StartFraction 7 over 8 EndFraction pounds. How much does Eliza's math book weigh?
its B sorry if Im wrong have a nice day
I need a fast answer !! A bag has 7 blue marbles and 3 red marbles. What is the probability of drawing two red marbles, if the first marble is replaced after it is drawn? A. 1/7 B. 1/3 C. 3/10 D. 9/100
Answer:
Step-by-step explanation:
9/100 i believe as you would multiply 3/10 by 3/10 due to the fact the marble is being replaced so the probability of getting a red marble the second time will be more unlikely. If I'm right please thank me or give me brainly. Hope this helps :)
The probability of drawing two red marbles, if the first marble is replaced after it is drawn, is 9/100.
What is Probability?
It is a branch of mathematics that deals with the occurrence of a random event.
The probability of drawing a red marble on the first draw is 3/10, since there are 3 red marbles out of a total of 10 marbles.
Since the first marble is replaced before the second draw, the probability of drawing a red marble on the second draw is also 3/10.
To find the probability of drawing two red marbles in a row, we multiply the probabilities of the individual events, since they are independent:
P(drawing two red marbles) = P(red on first draw) × P(red on second draw)
P(drawing two red marbles) = (3/10) × (3/10)
= 9/100
Therefore, the probability of drawing two red marbles, if the first marble is replaced after it is drawn, is 9/100.
To learn more on probability click:
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what is a number expression that equals 68
4+5
134_75
56.4+6
68/8.7_2+1
Faucet A flows at a rate of 100 liters per 5 minutes and Faucet B flows at a rate of 100 liters per 4 minutes into an empty pool. How many minutes do the two faucets take to fill a pool with 9,000 liters of water?
Answer:
It will take both faucets 200 minutes to fill a pool with 9,000 liters of water
Step-by-step explanation:
Here, we want to know the time it will take for both faucets to fill a pool with 9,000 liters of water
What we need here is to have a joint rate for both faucets;
For the first faucet, we have a rate of 100 liters per 5 minutes so this means in a minute;
100/5 = 20 liters per minute
For the second faucet, the per minute rate will be 100/4 = 25 liters per minute
So therefore, the joint rate will be;
25 liters per minute + 20 liters per minute = 45 liters per minute
So the time needed to fill 9,000 liters of water in a pool will be ;
9000 liters/ 45 liters per minute = 200 minutes
which is a better estimate for 682,000: 6 x 10^5 or 7 x 10^6
Answer:
6 x 10^5
Step-by-step explanation:
7 x 10^6 is 7,000,000 and 6 x 10^5 is 600,000. The one that is closer is 6 x 10^5
The purple shape is a dilation of the black shape. What is the scale factor of the dilation?