The function (f·g)(x) is -2x³-8x²and the function (g·f)(x) is -2x³-8x². Therefore, the correct answer is option A.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are f(x)=-2x² and g(x)=x+4.
Now, (f·g)(x)=f(x)×g(x)
= -2x² ×(x+4)
(f·g)(x)= -2x³-8x²
Here, (g·f)(x)=g(x)×f(x)
= (x+4)×(-2x²)
(g·f)(x)= -2x³-8x²
Therefore, option A is the correct answer.
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simplify the following expressions ( use distributed property )
Answer:
ax + ab
Step-by-step explanation:
Step 1: Write expression
a(x + b)
Step 2: Distribute a to each term
ax + ab
[tex]\huge\boxed{Hello!}[/tex]
The Distributive Property states that
a(b+c)=ab+ac
Now, let's use this property to simplify the given expression:
a(x+b)
ax+ab
This is our final answer.
[tex]\huge\boxed{\bf{Hope\;it\;helps!}}[/tex]
[tex]\huge\bold{Good\;luck!}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
Helppp plsssssssssss
Diane owes $11901.00 to the bank after completing her college degree. With the funds from her new job she is paying back $153.00 per month. Her friend Teresa was given $4906.00 in the bank for college from her family, and she is spending $337.00 per month out of this college fund. If these were continuous functions, after how many months will Diane have the same bank balance than Teresa, rounded to the nearest tenth
Please write:
1. y=-(x-6)^2+7 vertical compression or stretch
2. y=1/4(x+5)^2 vertical compression or stretch
3. y=4(x+1)^2-6 vertical compression or stretch
Answer:
1. No vertical compression or stretching but will open up downward.
2. 1/4 vertical stretch
3. 4 vertical compression
Step-by-step explanation:
Any time your dealing with vertical stretching or compression it will always be the number before the parentheses.
So in 1. it is - or basically -1 which means the parabola will be open up downward. And in this problem there is no stretching or compression
2. Is the 1/4 is a vertical stretch
3. 4 is a vertical compression.
Or what also could help is when the number before the parentheses is bigger such as number 4 the closer together the parabola will be. And the smaller the number like 1/4 the wider the parabola will be.
only question one. please answer and show full working out. will reward with brainliest.
Answer:
48 meters squared or 48m^2
(Both are correct. Whichever you prefer is fine.)
Step-by-step explanation:
The formula to find area is A=height*base
So since the base = 6 and height = 8
Just multiply to combine the two
6*8=48
If you want to show with only numbers write this.
A=b*h
6*8=48
48 meters squared or 48m^2
Steve Fossett completed the first solo balloon circumnavigation of the world after 13.5 days. Assuming the balloon travelled along a circle of diameter 12 750 km, roughly what was the average speed of the balloon in km/h?
A) 12
B) 40
C) 75
D) 120
E) 300
Answer:
B) 40
Step-by-step explanation:
Average speed = distance/time
Distance = 12750 km
Time = 13.5 days = 13.5*24 hours = 324 hours
Speed = 12750 km /324 h = 39.4 km/h ≈ 40 km/h
Correct option is B) 40
What is this I am so confused please help
Answer: A
Step-by-step explanation:
When you write exponential form to radical form, the fraction tells us that kind of root it is. Since it is a cubed root, as indicated by the 3 in front of the radical, we know that the fraction will be [tex]\frac{1}{3}[/tex]. If it were to be [tex]\frac{1}{3}[/tex], the entire radical would be to the power of 1. Since the radical is to the power of x, our answer would be [tex]125^{\frac{1}{3}x }[/tex].
Please help 6th grade math answer b
Answer:
b. 22 feet below sea level.
Hope this helps:)
Step-by-step explanation:
Is -3/7 rational or irrational
Answer:
Is rational. The value is 0.42857.
Step-by-step explanation:
every integer is _______number? an irrational , a natural , a whole , a rational.
Answer:
every integer is a whole number
If 3.x - 7 = 5, then 2x – 1=?
Answer: -2
Step-by-step explanation:
If you mix red and white paint in different ratios, you will get different shades of pink paint. If the ratios are equivalent, the shades of the pink will be same.
PLZZ HELP...i'm ready to go to bed...Where might you see "soda cans" in architecture or nature? (the shape of soda cans?
A soda cans like a cube with straight on top
please help, image is attached.
Answer:
∠ JKM = 36°
Step-by-step explanation:
Since KM is the angle bisector of ∠ JKL , then
∠ JKM = [tex]\frac{1}{2}[/tex] ∠ JKL = 0.5 × 72° = 36°
9. In City A, the temperature rises 9 from 8 A.M. to 9 A.M. Then the temperature drops 8 from 9 A.M. to 10 A.M. In City B, the temperature drops 5º from 8 A.M. to 9 A.M. Then the temperature drops 4º from 9 A.M. to 10 A.M.
a. What expression represents the change in temperature for City A?
b. What integer represents the change in temperature for City A?
c. What expression represents the change in temperature for City B?
d. What integer represents the change in temperature for City B?
e. Which city has the greater change in temperature from 8 A.M. to 10 A.M.? 10.
The expression for temperature change in City A is 9 + (-8)
The amount the temperature changes for City A = 1°F
The expression for temperature change in City B is -1 + (-3) = -4°F
The amount the temperature changes for City B = -4°F
Calculations and ParametersBased on the available data:
In City A, the temperature rise from 8 am to 9 am = 9°FIn City A, the temperature drop from 9 am to 10 am = 8°FIn City B, the temperature drop from 8 am to 9 am = 1°FIn City B, the temperature drop from 9 am to 10 am = 3°FThe expression for that represents the temperature change from 8 am to 10 am is, therefore;
For City AThe temperature change from 8 am to 10 am are
8 am to 9 am = +9°F9 am to 10 am = -8°FSum, change from 8 am to 10 am = 9 + (-8) = 1°F
For City BThe temperature change from 8 am to 10 am are
8 am to 9 am = -1°F9 am to 10 am = -3°FSum, change from 8 am to 10 am = -1 + (-3) = -4°F
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It costs twelve dollars to get in to the fair. Tickets for rides cost extra and are d dollars each.
If Tyra buys 20 tickets, how much would it cost her for the fair?
20 d - $12
$12 d + 20
$12 - 20 d
$12 + 20 d
Answer:
Answer:
12 + 20d
Step-by-step explanation:
OG fare = 12
Ticket price =d
20 Tickets =20d
Answer:
$12 + 20 d
Step-by-step explanation:
Right of the bat, we know she‘ll pay $12 just to get in to the fair.
If Tyra wanted to buy 20 tickets, it’ll cost her d dollars each. Which is 20 d.
Add 12 and 20(d) together and it’ll determine how much Tyra will spend in total at the fair.
A ten-pin boeling ball has the volume of about 5374 cm^3. A cadlepin bolwing ball has a volume of about 48 in^3. About how much greater is the volume of ten-pin bowling ball than the volume of candlepin bowling ball.
Answer: 16122/144= 111.95
Step-by-step explanation: 5374cm^3=16122 48in^3=144= 111.95
Billy borrowed $400 from his friend Tommy to get his truck fixed. The next time he got paid, Billy paid Tommy back $100, then agreed to pay $25 a week until his debt was paid off. 1.Write a linear equation to represent the amount of money m Billy owes Tommy after w weeks. 2.How long will it take Billy to pay off his debt to Tommy?
Answer:
(400 - 100) / 25 = 12
Step-by-step explanation:
Billy gives Tommy 100, so we can subtract $100 from $400, giving us 300. Then to undertand how many weeks it will take Billie to pay Tommy, we divide 300 by 25, and get 12.
Hope this helps!
Answer:
( 400 - 100 )
Step-by-step explanation:
Have a nice day <3
which square root would end up as a rational number 169 square root 250 square root 80 square root 6 square root
Answer:
250
Step-by-step explanation:
....................
C. ADD AND SUBTRACT REAL NUMBERS - Find each sum or ditterence.
TELE
1. - 63 +57
4. - 11.4 + (3.8)
7.- +13
14
2. - 21 - (- 46)
5. -7- (-7)
8. 104-9
3. 4.5 + (-10.2)
6
9. 4
+6
1. Answer: = -6
2. Answer:= 25
3. Answer:= -5.7
4. Answer:= -7.6
5. Answer:= 42
6 . Answer:= 3 r 14
7. Answer:= 1 r 16 r 45
8. Answer := 13 r 36
9. Answer:= 11 r 11 r 24
.
0(-4,1), and Y (-2, 3).
Answer: If you trying to find the distance [tex]d=\sqrt{16}[/tex] or 4. If you trying to find midpoint its MP= (-3,2)
Step-by-step explanation:Distance formula[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{2})^{2} }[/tex]
[tex]d=\sqrt{(-2-(-4))^{2}+(3-1})^{2} }[/tex] -2-(-4)=2 3-1=2
[tex]d=\sqrt{2^{2}+2^{2} }[/tex] 2 squared is 4
[tex]d=\sqrt{4+4}[/tex] equals [tex]d=\sqrt{16 }[/tex] or 4 simplyfied
Midpoint formula [tex]MP= (\frac{x_{1}+x_{2} }{2}), (\frac{y_{1}+y_{2} }{2} )[/tex]
[tex]MP= (\frac{-4+-2 }{2}), (\frac{1+3 }{2} )[/tex] -4+-2=-6 1+3=4
[tex]MP= (\frac{-6}{2} ), (\frac{4 }{2} )[/tex] -6/2= -3 4/2= 2
[tex]MP= (-3,2)[/tex]
help me please!!!!!!!
Answer:
C (-6,-8) → C' (6,8)
D (-2,-8) → D' (2,8)
E (-2,-4) → E' (2,4)
F (-6,-4) → F' (6,4)
Step-by-step explanation:
When you rotate a point 180° counterclockwise about the origin, the point A (x,y) becomes A' (-x,-y). So, if the points are positive, they will become negative.
Because all the points are negative, rotating them 180° counterclockwise will make them positive.
Hope that helps.
plzz help me with this
Answer:
84
Step-by-step explanation:
4*6*7/2=84
0.04 divided by 3.3284
Answer:
The answer is 0.01201778632
Step-by-step explanation:
At a local department store sweaters typically cost $44. However due to a special the sweaters are reduced to $22. What percent of the original price has the sweater been reduced to
Answer:
50% reduction in price
Step-by-step explanation:
can be determined by 44- (44× X) solve for x and you get x as .5
the area of a square rug is 72 square feet. what is the approximate length of one side of the rug?
(4-5i)(-2+7i) what is the answer
Answer:
27 + 38 i
Explanation:
(4 - (5 * i)) * ((-2) + (7 * i)) =
Answer:
[tex] - 35 {i}^{2} + 10i + 20[/tex]
Step-by-step explanation:
-8 + 28 + 10i - 35i^2
-35i^2 + 10i + 20
Solve and graph the absolute value inequality: 2x + 4 > 8. (1 point)
-9-8-7-6
-4
-1
1
2
3
2
5
7
B 9
-9-8-7-6-5
- 2 - 1
O
1
2
5
7
8
9
-9-9-7-6-5-4-3-2-1
1
3
9
1
3
Answer:
x>2
Step-by-step explanation:
2x+4>8
subtract -4 both sides
2x+4(-4) > 8(-4)
2x >4
divide 2 both sides
2x/2 > 4/2
x > 2
−4−3−2−1 0 1 O --3---4--5--6--7--8--9->
Solve for x:
X – 6 = 5x – 2
20 points + Brainlist if you answer this question please!
15?
Step-by-step explanation:
can someone help me out pls?
Answer:
eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).
Step-by-step explanation: