Answer:
(f*g)(x) = (x +3)(2x² -4) =2(x+3)(x²-4) or = 2x³ + 6x² - 4x -12
Step-by-step explanation:
F(x) = x +3
G(x) = 2x^2 -4
(f*g)(x) = f(x) * g(x)
(f*g)(x) = (x +3)(2x² -4) =2(x+3)(x²-4) or = 2x³ + 6x² - 4x -12
The function (f x g)(x) is equal to 2x³ + 6x² - 4x -12.
What is a function?A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
The function (f x g)(x) is calculated as,
F(x) = x +3
G(x) = 2x² -4
(f x g)(x) = f(x) x g(x)
(f x g)(x) = (x +3)(2x² -4) =2(x+3)(x²-4)
(f x g)(x) = 2x³ + 6x² - 4x -12
Therefore, the function (f x g)(x) is equal to 2x³ + 6x² - 4x -12.
To know more about function follow
https://brainly.com/question/875118
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i need help i suck at these
Answer:
i will help
Step-by-step explanation:
2 hours=21.50
3 hours= 32.25
4 hours= 43.00
Answer:
2 - 21.5
3 - 32.25
4 - 43
Step-by-step explanation:
10.75 × 2 = 21.5 ÷ 2 = 10.75
10.75 × 3 = 32.25 ÷ 3 = 10.75
10.75 × 4 = 43 ÷ 4 = 10.75
will gibe brainlest and 5 stars and thanks
Answer:
2160 cm
Step-by-step explanation:
9x5x4x12=2160 :)
Answer:
42
Step-by-step explanation:
Divide the shape into a square and a triangle.
The area of the square would be 4×9 which is 36.
The area of the triangle will be 3*4/2=6
Add them to get 42
the cost per month of making n number of wooden toys is 3n + 30. the income from selling n toys is 6n. how many toys must the company make to make a profit
Answer:
3×6=18+30=48. so company needs to make 48 toys
Answer:
n > 10, or n = 11. Not sure which answer fits your hw better.
Step-by-step explanation:
6n > 3n + 30
6n-3n > 30
(3n > 30)/3
n > 10
So, you need to sell 10 toys in order to break even, which means you need to make and sell 11 toys at least to make a profit.
Check time!
6(11) > 3(11) +30
66 > 63
This is my last question can someone help me with my homework.
9514 1404 393
Answer:
C, A, A
Step-by-step explanation:
In general, you ...
identify the coefficients of one of the variablesswap them, and negate one of themmultiply the corresponding equations by the "adjusted" coefficients.__
In problem 1, the x-coefficients are 8 and 2. A common factor of 2 can be removed so that we're dealing with the numbers 4 and 1. Assuming we want to multiply one of the equations by 1, leaving it unchanged, the value we want to multiply by will be -4. After we swap the coefficients, that multiplier is associated with equation 2:
multiply equation 2 by -4 . . . (eliminates x)
Likewise, the y-coefficients in problem 1 are -1 and 3. Again, if we want to multiply one of the equations by 1, leaving it unchanged, the coefficient we will change the sign of is -1 (becomes 1). After we swap the coefficients, the multiplier 3 is associated with equation 1:
multiply equation 1 by 3 . . . (eliminates y)
These two choices are B and A, respectively, so the one that does NOT work for problem 1 is choice C, as indicated below.
__
The other problems are worked in a similar fashion.
A kite is flying 100 m high from the ground level. If it starts descending 10 m/min, how much time will the kite take to touch ground level?
Answer:
10 minutes
Step-by-step explanation:
100 meters/10 meters per min. Cancel out the meters, and you're left with 10 minutes.
How do you solve: 5In3-2In9
Answer: uhm is this a SAT
Step-by-step explanation: i'm sorry i didn't asnwer but i can't not subtract that is it 53 In - 29 In?
Question 15(Multiple Choice Worth 1 points)
(03.03 LC)
PLS HELP
PLS HELP
Given the exponential function f(x) = 16(0.75)*, classify the function as exponential growth or decay and determine the percent rate of growth or decay.
Find the distance, slope, and midpoint of the segment with endpoints A(5,4) and B(-1, 12)
Answer:
Step-by-step explanation:
Use the Zero Product Property to find the x-intercepts (x+5)(−2x+3)=y
Answer:
Here you go, hope my handwriting is clear :D
X can either equal -5 or 3/2
PLEASE HELP ME WITH MY DELTA MATH PLEASEEEE
Answer:
The range of the graph is {y: y ∈ R, -6 ≤ y ≤ 8}
Step-by-step explanation:
The domain is the set of values of the input (x)
The range is the set of values of the output (y)
In the given figure
∵ x is the input
∴ The set of the values of x is the domain
∵ Y is the output
∴ The set of the values of y is the range
∵ The smallest value of y is -6
∵ The greatest value of y is 8
→ That means values of y of the graph are from -6 to 8
∴ -6 ≤ y ≤ 8
∴ The range = {y : y ∈ R, -6 ≤ y ≤ 8}
∴ The range of the graph is {y: y ∈ R, -6 ≤ y ≤ 8}
If solved will give brainless
1 . What is the relationship of angles 1 and 2 ?
2. What is the measure of angles 1 and 2?
3. What is the measure of angle 3
4. Each of these triangles would classify by angle to be :
Answer:
1.) Vertical angles. 2.) 76 degrees. 3.) 36 degrees.
OQ and RT are parallel lines.
Which angles are alternate exterior angles?
Options:
a) <OPN and <OPS
b) <OPN and <TSU
c) <OPN and <QPS
d) <OPN and <QPN
Answer: b) angle OPN and angle TSU
=========================================================
Explanation:
Each answer choice involves angle OPN, so the other angle must be based off this. The other angle is TSU because these two angles are on alternating sides of the transversal line UN.
Angle OPN and angle TSU are also exterior angles because they are on the outside region of the parallel lines OQ and RT.
So combine the two concepts and we can say that angles OPN and TSU are alternate exterior angles. The other alternate exterior angle pair is angle USR and angle NPQ.
Due to the parallel lines, the alternate exterior angles are congruent.
Hilda adds 5 to a number, then multiplies the sum by negative 2. The result is 6. Write and solve an equation to find the number, x.
What is the number?
Answer:
I think answer is 3.
Step-by-step explanation:
2+3=52*3=6Answer:
I think it will be like that:
(X+5)×-2=6
-2x-10=6
-2X=16
X=-8
During the 2009/2010 school year, Detroit students missed an average of 9 weeks of school. Let's say that the school year is 39 weeks long. If this is true, what percentage of school time did the average student miss that year in Detroit
Answer:
The percentage of school time missed by the average student during 2009/2010 school year in Detroit is 23.08%.
Step-by-step explanation:
The percentage of school time missed by the average student during 2009/2010 school year in Detroit can be calculated as follows:
Percentage of school time missed = (Average number weeks of school missed / Total number of weeks in a school year) * 100 ................... (1)
Where;
Average number weeks of school missed = 9
Total number of weeks in a school year = 39
Substituting the values into equation (1), we have:
Percentage of school time missed = (9 / 39) * 100
Percentage of school time missed = 0.230769230769231 * 100
Percentage of school time missed = 23.0769230769231%
Rounding to 2 decimal places, we have:
Percentage of school time missed = 23.08%
Therefore, the percentage of school time missed by the average student during 2009/2010 school year in Detroit is 23.08%.
parallel lines l and m are intersected by transversal t as shown below which of the following angles are alternate interior angles
a. 1 and 5
b. 4 and 6
c. 2 and 7
d. 3 and 6
Answer:
c 2and7
Step-by-step explanation:
1 to 2 to 3 to 4 the789
I WILL AWARD BRAINLIEST TO RIGHT ANSWER
an airplane 30,000 feet above the ground begins descending at a rate of 2000 feet per minute write a linear model to represent the model
Answer:
y = -2000x+30000
Step-by-step explanation:
Hi. So, you are just setting up a linear equation using slope intercept data. The slope being -2000 (because it is descending) and the intercept being 30,000 at t=0.
y = -2000x+30000
Which of the following statements is not true
Answer:
A: The slope of AB is
different than the
slope of BC.
.
What is the equation in standard form of the line that passes through the point (4, −8) and has a slope of 1/4?
A) x − 4y = 36
B) x − 4y = −28
C) x − 4y = −36
D) x − 4y = 28
Answer:
Option A is correct.
Step-by-step explanation:
Given
The point (4, -8)Slope m = 1/4To determine
What is the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4.
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointsubstituting the values m = 1/4 and the point (4, -8)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-8\right)=\frac{1}{4}\left(x-4\right)[/tex]
[tex]y+8=\frac{1}{4}\left(x-4\right)[/tex]
Subtract 8 from both sides
[tex]y+8-8=\frac{1}{4}\left(x-4\right)-8[/tex]
[tex]y=\frac{1}{4}x-1-8[/tex]
[tex]y=\frac{1}{4}x-9[/tex]
Writing the equation in the standard form
As we know that the equation in the standard form is
Ax+By=C
where x and y are variables and A, B and C are constants
so
[tex]y=\frac{1}{4}x-9[/tex]
[tex]x=4y+36[/tex]
[tex]x - 4y = 36[/tex]
Therefore, the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4 will be:
[tex]x - 4y = 36[/tex]
Hence, option A is correct.
How do I solve this I've been on this question for 3 weeks!!
Answer:
c=3√5
Step-by-step explanation:
it appears the vertices of the inscribed quadrilateral,cuts the edges of the square at certain points that form right angles,with C being the hypotenuse.
c=√3²+6²
c=√9+36
c=√45=3√5
1 person can cut a large area of grass in 5 hours. How long would it take 2 people to cut the grass
Answer:
Well going with the answer mathematically, it would take 2.5 hours for 2 people to cut the grass.
For f(x) = x
2 − 5, find f(0).
Answer:
f(0)=0
Step-by-step explanation:
If f(x) is x you don't have to do anything to it.
I'm assuming 2 - 5 is like the problem # or something but just in case... that is -3 lol
function represented by the table? What is the rate of change for the 1 2 -2 0 -1 -8 у 12 -3 2 7 A. 5 B. 1 C. i nin D. -5
Answer:A:0
Step-by-step explanation:hope this helps :)
Please give me the correct answer
Answer:
[tex] \sqrt{149} [/tex]
Step-by-step explanation:
leg 1 squared plus leg 2 squared = 3rd leg squared
Answer: [tex]c = \sqrt{149}[/tex]
Step-by-step explanation:
[tex]a =7 \\b=10\\a^{2} +b^{2}=c^{2}\\7^{2} + 10^{2} =c^{2}\\49 + 100 = c^{2}\\c^{2} = 49 + 100\\c^{2}=149\\\sqrt{c^{2}} =\sqrt{149}\\c = \sqrt{149}[/tex]
will give brainlest and 5 stars and thanks
Answer: 6m²
Step-by-step explanation:
Area of triangle: 1/2 × b × h
b = 3 h = 4
1/2 × 3 × 4 = 1/2 × 12 = 6
2 3/4 divided by 5 1/2
Answer: 0.5
Step-by-step explanation:
Answer:
.5
Step-by-step explanation:
2.75/5.5=.5
Mark drives a distance of 124 miles in 3 hours. He drove 4512 miles during the first hour. He drove equal distances in each of the remaining 2 hours to complete his journey. What is the distance covered in the last hour?
Answer:
[tex]x = 39\frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]Total\ Distance = 124\ miles[/tex]
[tex]First\ hour = 45\frac{1}{2}[/tex]
Required
Determine the distance covered in the last hour
Since the distance in the last 2 hours are the same. Represent the distance in each of the remaining hours as x.
So:
[tex]First\ Hour + Second\ Hour + Third\ Hour = Total[/tex]
[tex]45\frac{1}{2} + x + x = 124[/tex]
[tex]45\frac{1}{2} + 2x = 124[/tex]
Collect Like Terms
[tex]2x = 124 - 45\frac{1}{2}[/tex]
[tex]2x = 124 - \frac{91}{2}[/tex]
Take LCK
[tex]2x = \frac{248-91}{2}[/tex]
[tex]2x = \frac{157}{2}[/tex]
Divide both sides by 2
[tex]x = \frac{157}{2} * \frac{1}{2}[/tex]
[tex]x = \frac{157}{4}[/tex]
[tex]x = 39\frac{1}{4}[/tex]
Hence, the distance in the third lap is: [tex]x = 39\frac{1}{4}[/tex]
please help will give brainliest
Answer:
53 mph
Step-by-step explanation:
424 / 8 = 53
Write the quadratic in standard form please!
-4x+6x^2=-4+3x^2
-4x +6x²=-4+3x²
6x²-3x²-4x+4=0
3x²-3x+4=0
Please give me the correct answer
Answer:
YES
Step-by-step explanation:
Area of the largest square = Sum of area of the smaller squares
13² = 12² + 5²
169 = 144 + 25
169 = 169
TRUE
This proves the Pythagoras theorem in a right angle triangle.
(Hypotenuse)² = (leg 1)² + (leg 2)²
Therefore, answer is YES.
can anyone help me create the equation of the given parabola . is it x^2-x-3?
Answer:
The function of this parabola is is equal to [tex]f(x) = (x-1)^{2} - 4[/tex]
Step-by-step explanation:
If we look at this picture we cans see that the most bottom point of this parabola is located 4 units below and 1 unit tot he right of the origin point. From here we know tha tthe function will lokk something like this....
[tex]f(x) = (x^-1)^{2} + bx - 4[/tex]
But in our case b is equal to zero and so we get that the following parabola is represented by the following function....
[tex]f(x) = (x-1)^{2} - 4\\[/tex]
(If you don't believe me you can check this function on a graphing site called Desmos)