Answer:
(f*g)(x) = 3x^2 + 25x - 18
Step-by-step explanation:
(f*g)(x) represents the product of the two functions f and g:
(f*g)(x) = 27x - 18 + 3x^2 - 2x, or, after simplification,
(f*g)(x) = 25x - 18 + 3x^2, or
(f*g)(x) = 3x^2 + 25x - 18
Over a 5-year period, a company reported annual profits of $8 million, $3 million, $2 million, and $9 million. In the fifth year, it reported a loss of $7 million. What was the mean annual profit?
Given
Annual profits of four years $8 million, $3 million, $2 million, and $9 million.
In the fifth year, it reported a loss of $7 million.
To find:
The mean annual profit.
Solution:
Formula for mean is:
[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]
Annual profits are $8 million, $3 million, $2 million, $9 million and -$7 million. Here negative sign represent loss.
So, the mean annual profit is:
[tex]\text{Mean}=\dfrac{8+3+2+9+(-7)}{5}[/tex]
[tex]\text{Mean}=\dfrac{22-7}{5}[/tex]
[tex]\text{Mean}=\dfrac{15}{5}[/tex]
[tex]\text{Mean}=3[/tex]
Therefore, the mean annual profit is $3 million.
SOMEONE HELPPP
What is the classification of the figure?
1) 1/3(x+3)+1/6=1/2(x-1)-(x-3)
Answer:
x= 8/5
Step-by-step explanation:
Let's solve your equation step-by-step.
1
3
(x+3)+
1
6
=
1
2
(x−1)−(x−3)
Step 1: Simplify both sides of the equation.
1
3
(x+3)+
1
6
=
1
2
(x−1)−(x−3)
1
3
(x+3)+
1
6
=
1
2
(x−1)+−1(x−3)(Distribute the Negative Sign)
1
3
(x+3)+
1
6
=
1
2
(x−1)+−1x+(−1)(−3)
1
3
(x+3)+
1
6
=
1
2
(x−1)+−x+3
(
1
3
)(x)+(
1
3
)(3)+
1
6
=(
1
2
)(x)+(
1
2
)(−1)+−x+3(Distribute)
1
3
x+1+
1
6
=
1
2
x+
−1
2
+−x+3
(
1
3
x)+(1+
1
6
)=(
1
2
x+−x)+(
−1
2
+3)(Combine Like Terms)
1
3
x+
7
6
=
−1
2
x+
5
2
1
3
x+
7
6
=
−1
2
x+
5
2
Step 2: Add 1/2x to both sides.
1
3
x+
7
6
+
1
2
x=
−1
2
x+
5
2
+
1
2
x
5
6
x+
7
6
=
5
2
Step 3: Subtract 7/6 from both sides.
5
6
x+
7
6
−
7
6
=
5
2
−
7
6
5
6
x=
4
3
Step 4: Multiply both sides by 6/5.
(
6
5
)*(
5
6
x)=(
6
5
)*(
4
3
)
x=
8
5
A store is having a buy one get one 30% off sale. During the sale Christopher buys two pairs of shoes that each have a regular price of 48$. How much does Christopher pay for the two pairs of shoes?
2/3 x 6 need help asap
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
2/3 x 6 is 4 because when you times the 2 in 2/3 u get 12 and 12/3 is the same as 4
Hello, can someone please assist me with this problem.
Can someone please help me with this questions please help me I really need help please.
Answer:
C) Line A does not intersect Line B.
Step-by-step explanation:
Line A passes through (6 ,-30) & (-2 , 10)
Line B passes through (-4 , 28) & (2 , -2)
Find the slopes for each line. To find the slope, use the slope formula:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Line 1:
Let:
[tex](x_1 , y_1) = (6 , -30) \\(x_2 , y_2) = (-2 , 10)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{10 - (-30)}{-2 - 6} = \frac{10 + 30}{-8} = \frac{40}{-8} = \frac{-5}{1}[/tex]
Line 2:
Let:
[tex](x_1 , y_1) = (2 , -2)\\(x_2 , y_2) = (-4 , 28)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{28 - (-2)}{-4 - (2)} = \frac{28 + 2}{-4 - 2} = \frac{30}{-6} = \frac{-5}{1}[/tex]
The two lines share the same slope, therefore, they are parallel to each other. This means that they do not intersect at any given point.
find the value of x for both problems.
Answer:
Step-by-step explanation:
In Problem 6, 3/x = tan 30 degrees, or x/3 = 1 / (tan 30 degrees), or
x = 3 / (tan 30 degrees). Using a calculator: x = 3 / (0.449) = 6.68 units
In Problem 9, we begin by finding the length of the hypotenuse of the upper triangle: sin 60 degrees = 9√3 / hypotenuse, or
hypotenuse = 9√3/ (√3 / 2) = 9/2. Then the hypotenuse of the 45-45-90 triangle is 9/2. Thus, cos 45 degrees = x / (9/2), or
2x √3
---- = -------
9 2
9√3
Cross-multiplying, we get 4x = 9√3, so that x = -------------
4
Draw a two-dimensional representation of each prism. Then find the area of the entire surface of each prism
Answer:
Surface area of cuboid = 78 unit²
Step-by-step explanation:
Given diagram is a cuboid prism
Given:
Length of cuboid = 5 unit
Width of cuboid = 3 unit
Height of cuboid = 3 unit
Find:
Surface area of cuboid
Computation:
Surface area of cuboid = 2[lb + bh + hl]
Surface area of cuboid = 2[(5)(3) + (3)(3) + (3)(5)]
Surface area of cuboid = 2[15 + 9 + 15]
Surface area of cuboid = 2[39]
Surface area of cuboid = 78 unit²
Help!!! answer quickly pls
Most likely (3,0)
If it’s reflected across the y axis, then it should be the opposite of (-3,0)
Ben weighs 41.9 kg. His older brother weighs 57.6 kg. How much more does his older brother weigh?
Step-by-step explanation:
[tex]57.6 - 41.9 = 5.7[/tex]
the annual
The present population of
of a town is 66550. If the annual population growth
rate is 10% what was
the Population growth of town 3 years ago ?
Answer:
Population (t=-3)= 50,000
Step-by-step explanation:
Giving the following information:
Annual growth rate (g)= 10%
Number of periods (n)= 3 years
Present Value (PV)= 66,550 people
To calculate the population three years ago, we need to use the following formula:
Population (t=-3)= PV / (1 + g)^n
Population (t=-3)= 66,550 / (1.1^3)
Population (t=-3)= 50,000
.222222222 as a fraction Please help
Answer:
222222222/1000000000
Step-by-step explanation:
Use completing the square to find the equation of the following circle in standard form.
x2 + y2 - 4x + 12y - 16 = 0
Answer:
Here's a calculator that should help
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/algebra/completing-the-square-calculator.php
What type of triangle is this ?
Answer:
triangle bby
Step-by-step explanation:
Step-by-step explanation:
Right because there's an angle of 90
please HELP! USE PYTHAGOREAN THEOREM TO FIND RIGHT TRIANGLE SIDE LENGTHS
formula A(2)+B(2)=C(2)
Answer:
x = √ 40
Step-by-step explanation:
6 x 6 = 36 2 x 2 = 4 36 + 4 = 40Please tell me how to round 14,780
Answer:
for 100: 14,800
for 10: 14,780
for 1: 14,780
for 1000: 15,000
Step-by-step explanation:
ok so just go for like if its
18 its going to be 20 if its 11 its going to be 10
Hope this helps!!
PLEASE CROWN TYY
Answer:
Rounding Rules:
1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40. ...
2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.
Step-by-step explanation:
100: 14,800
10: 14,780
1: 14,780
1000: 15,000
Which of the following figures has a length, width, and height?
A. Square
B. Line segment
C. Point
D. Pyramid
Answer:
I believe
D. Pyramid
Is the answer I did it in 6th or 7th grade
Step-by-step explanation:
Square is flat so no height.
Line segment is a flat line so no height
point is a literal dot
pyramid is a 3d figure so it would have all of the attributes
We both helped right?
Answer:
Pyramid
Step-by-step explanation:
Square is flat so no height.
Line segment is a flat line so no height
point is a literal dot
pyramid is a 3d figure so it would ahve all of the attributes
The ratio of cement to gravel in a road
surface is 3:17. Find the percent
of cement in the mixture.
A store has 125 scientific calculators.
Brand x sells for $20 each; Brand y sells
for $15 each. If the total selling price
of the calculators is $2,275, how many
of each calculator does the store have?
Answer:
Brand x: 80
Brand y: 45
Step-by-step explanation:
x + y = 125
20x + 15y = 2275
-20x - 20y = -2500
(+) 20x + 15y = 2275
--------------------------------
-5y = -225
y = 45
x + y = 125
x + 45 = 125
x = 80
Answer:
Brand x: 80
Brand y: 45
An element with a mass of 700 grams decays by 6.1% per minute. To the nearest
tenth of a minute, how long will it be until there are 220 grams of the element
remaining?
Answer:
11.2 minutes
Step-by-step explanation:
If the element decreases by 6.1, every minute, it means that the mass lost every minute = 0.061 x 700g = 42.7g
The mass remaining after a minute = 657.30g
The equation that can be used to solve this question is :
700 - 42.7m = 220
m = minutes
Collect like terms
700 - 220 = 42.7m
480 = 42.7m
divide both sides of the equation by 42.7
m = 11.241218 minutes
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Here, the hundredth is less than 5, so zero would be added to 2. the answer is 11.2 minutes
Answer:
18.4
Step-by-step explanation:
I answered the question
Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178more cans than Shane did.
Write an inequality to determine the number of cans, S, that Shane could have collected.
Answer:
[911,∞)
Step-by-step explanation:
Given: S be the number of cans collected by Shane.
Since, Abha collected 178 more cans than Shane did.
Then, the number of cans collected by Abha = S+178
Also, Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling.
So,
Hence, the solution set of the inequality will be [911,∞)
What is the measure of the other acute angle.....?
I really need to get this right plsss help me ❤️ I really need to get to an 90
the answer is 30°
EXPLAINATION:
since the angle is a right angle triangle one of it's angles is 90°, and all the angles of a triangle always add up to 180°
so, 90° + 60° + x = 180
150° + x = 180°
so x = 180° - 150° = 30°
hence, the other acute angle is 30°.
yo i need help please i need the correct answer i will give u a brainliest to please just help me
Answer:
a
Step-by-step explanation:
what is equivilent to 0.5y + 10.5 + 6.5y - 0.5 - 0.5y
Answer:
6.5y + 10
Step-by-step explanation:
0.5y + 10.5 + 6.5y - 0.5 - 0.5y
combine like terms
6.5y + 10
Answer:
m
Step-by-step explanation:
f
help me out and ill give brainliest
Answer:
C
Step-by-step explanation:
Y= MX (The Slope which is Rise/Run) minus 2 (The Y-Intercept).
What is the solution to the equation below?
4x+8 = 2(x - 4)
A x = -5
B x = 6
Cx = -8
D x = -4
Answer:
C
Step-by-step explanation:
4x +8 = 2x -8
4x = 2x - 16
2x = -16
x = -8
Un estudiante reparte el tiempo de un día de la siguiente forma:
1/4 del día duerme,
1/12 del día lo usa para desplazarse caminando hasta el colegio, 5/12
del día lo usa para estudiar. ¿Qué parte del día le queda para compartir con su familia?
Answer:
4 horas para compatir com su familia
Q1: What is the measure of angle one?
Answer:
34
Step-by-step explanation:
omg please don't listen to the other person it's 34 bc if you look at the angle under 2 it's 34 so that's your answer for one
I am sorry i am wasting your time please help!
Step-by-step explanation:
True
false
false
true
i think its that I'm sorry if its wrong