(3x - 40)° (2x + 23)°
Answers
Answer:
Step-by-step explanation:
The expression (3x - 40)° (2x + 23)° represents the product of two angles, (3x - 40)° and (2x + 23)
(3x - 40)° (2x + 23)° = (3x - 40)(2x + 23)°
3x - 40)(2x + 23)° = 3x(2x + 23) - 40(2x + 23)°
3x(2x + 23) - 40(2x + 23)° = 6x² + 69x - 80x - 920
6x² + 69x - 80x - 920 = 6x² - 11x - 920
simplified expression of (3x - 40)° (2x + 23)° is 6x² - 11x - 920.
Related Questions
What is the difference between points a (1,2) and b (9,17)
9 students volunteer for a committee. How many different 6-person committees can be chosen?a. 1 b. 362,880 c. 60,480 d. 84
Help me find y........
The original value of a car is $18,000, and it depreciates (loses value) by 15% each year. what is the value of the car after three years?
Answers
Answer:
Option A is correct.
The amount of money must be spent when the crew is going to work 4 shifts is, 24
Step-by-step explanation:
Given the function: .....[1] ; where x represents the number of shifts the crew is going to work in the truck.
Also, the crew uses c(t(x)) which represents the amount of money to spend on soup.
The function is given as:
c(x) = 2x + 4 .....[2]
To find c(t(x)) i.e, the money must be spent when the crew is going to work 4 shifts.
⇒ x = 4
First substitute the value of x in [1] to find t(x);
Then;
For x=4 ,
c(t(4)) = 2(t(4)) +4 [Using equation [2]]
Substitute the value of t(4) = 10 we have;
c(t(4)) = 2(10) +4 = 20 + 4 = 24
Therefore, the amount must be spent when the crew is going to work 4 shifts is, 24
t(x)=10
Then, you plug in t(x) to c(x).
c(x)=2(10)+4
c(x)=24
(x-2)(x+9)=0
Answers
Answer: {2, -9}
Step-by-step explanation: Think of these two binomials, x -2 and x + 9,
as two numbers that are multiplying together to equal zero.
In order for two numbers to multiply together to equal zero,
either one number or the other number must equal zero.
So for two binomials to multiply together to equal zero,
either one binomial or the other binomial must equal zero.
So we can split this problem up into two parts.
If (x - 2)(x + 9) = 0, then either x - 2 = 0 or x + 9 = 0.
On the left, add 2 to both sides and we have x = 2.
On the right, subtract 9 from both sides and we have x = -9.
For our final answer we use set notation.
So our answer is {2, -9}.
Answer:
2 and -9
Step-by-step explanation:
x-2=0
x=2
x+9=0
x=-9
Answers
x + 2 > 5
x > 3
Answer is the 2nd option
x + 2 > 5; x > 3
it is c im 100% sure
Answers
Width = w
Length = 4w - 9
P = 2w x 2L
90 = 2w + 2(4w - 9)
90 = 2w + 8w - 18
90 = 10w - 18
108 = 10w
108/10 = w
10 4/5 = w
Width is 10 4/5 ft
Length = 4w - 9
L = 4(10 4/5) - 9
L = 43 1/5 - 9
L = 34 1/5 ft
Length 34 1/5 ft Width 10 4/5 ft or
Length 34.2 ft and width 10.8 ft
b) 11 units, 10.2 units
c)4.9 units, 15.8 units
d)4.9 units, 14.2 units
e)5.2 units, 14.1 units
Answers
The length of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units are 4.9 units and 14.2 units.
What is a right angle triangle?
A right angle triangle has one of its angles as 90 degrees. The sides can be found using pythagoras theorem or trigonometric ratios.
Therefore,
sin 19 = opposite / hypotenuse
sin 19 = h / 15
cross multiply
h = 15 sin 19
h = 4.88352231686 = 4.9 units
Hence,
cos 19 = adjacent / hypotenuse
cos 19 = x / 15
cross multiply
x = 15 cos 19
x = 14.182778634 = 14.2 units
Therefore, the other legs are 4.9 units and 14.2 units.
learn more on right triangle here: brainly.com/question/1478228
#SPJ5
Answers
And even though you haven't asked to be shown how to do it,
I'll go ahead and do that too:
Call the speed of the boat (through the water) 'B'.
Call the speed of the current (the water) 'C'.
When the boat is going 'up' the river, against the current,
his speed past the riverbank is (B - C).
When the boat is going 'down' the river, the same way as the current,
his speed past the riverbank is (B + C).
The problem says it took him 5 hours to travel 60 km against the current.
Distance = (speed) x (time)
60 km = (B - C) x (5 hours)
The problem also says it took him 3 hours to return.
The distance to return is the same 60 km.
The other direction is the same direction as the current,
so his speed on the return is (B + C).
Distance = (speed) x (time)
60 = (B + C) x (3)
Now we have two equations, so we can find 'B' and 'C'.
5B - 5C = 60
3B + 3C = 60
Multiply each side of the first equation by 3, and
multiply each side of the second equation by 5:
15B - 15C = 180
15B + 15C = 300
Add the second equation to the first one:
30B = 480
B = 480/30 = 16 km per hour.
Subtract the second equation from the first one:
-30C = -120
C = -120/-30 = 4 km per hour.
The speed of the boat through the water (B) is 16 km per hour.
The speed of the water past the riverbank is 4 km per hour.
Check:
-- When the boat is going along with the current, his speed past the riverbank
is (16 + 4) = 20 km per hour. In 3 hours, he covers (3 x 20) = 60.
-- When the boat is going against the current, his speed past the riverbank
is (16 - 4) = 12 km per hour. In 5 hours, he covers (5 x 12) = 60 km.
yay !