Answer:
(f · g)(x) = 3x³ + 6x² - 5x - 10
General Formulas and Concepts:
Distributive PropertyFOIL (First, Outside, Inside, Last)Step-by-step explanation:
Step 1: Define
f(x) = x + 2
g(x) = 3x² - 5
Step 2: Find (f · g)(x)
Set up: (x + 2)(3x² - 5)FOIL: 3x³ - 5x + 6x² - 10Combine like terms: 3x³ + 6x² - 5x - 10what is the lcm for 10 and 5
Answer:
15
Step-by-step explanation:
10 and 5 can go in 15.
You could also use 5.
Answer:
10
Step-by-step explanation:
make a the subject of this formula:
p=n^2+a/n+a
Step-by-step explanation:
we multiply both sides by the denominator on the right to eliminate fraction, so we have..
p*(n+a)= (n²+a/n+a)*n+a
so we have
p(n+a)= n²+a
so opening the bracket on the left hand side we have,
p*n+p*a
pn+pa
so,
pn+pa= n²+a
so collecting like terms we have,
pn-n²= a-pa
so removing a from the equation on the right hand side we have,
pn-n²=a(1-p)
dividing both sides by the equation in the bracket on the right hand side, we have..
pn-n²/(1-p)= a
a = pn-n²/1-p
or
a = n(p-n)/1-p
Human cells come in a wide variety of shapes and sizes. The
mass of an average human cell is 2 x 10-11. Write this number in
standard form.
Answer:
2
Step-by-step explanation:
What is 1.19047619048 as a fraction
Answer: 1.19047619048 as a fraction equals 119047619048/100000000000
Step-by-step explanation: To write 1.19047619048 as a fraction you have to write 1.19047619048 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
1.19047619048 = 1.19047619048/1 = 11.9047619048/10 = 119.047619048/100 = 1190.47619048/1000 = 11904.7619048/10000 = 119047.619048/100000 = 1190476.19048/1000000 = 11904761.9048/10000000 = 119047619.048/100000000 = 1190476190.48/1000000000 = 11904761904.8/10000000000 = 119047619048/100000000000
Answer:
119047619048/100000000000
Step-by-step explanation:
To write 1.19047619048 as a fraction you have to write 1.19047619048 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. And finally, we have: 1.19047619048 as a fraction equals 119047619048/100000000000
The mass of the copper cube is 90 grams, the mass of the gold cube is 193 grams, and the mass of the silver cube is 105 grams. Which shows the metals in order from the lowest density to the greatest density?
Answer: copper, silver, gold
Step-by-step explanation:
Answer:
copper siver gold
Step-by-step explanation:
i had this question too
А ____________ is a comparison of two quantities by division.
A. Unit Rate
B. Rate
C. Ratio
Answer:
Rate
Step-by-step explanation:
When you have two quantities and place one over the other, i.e. miles/hour, you get a rate, such as a rate of change .
someone please help !!!
HELPPPPPPP ASAPPPPPP PLEASEEEE
70
f(-4)=5(2-3(-4)
f(-4)=10+60
f(-4)=70
what calculates the slope of a line from two coordinate points from that line?
Answer:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
boris's super metal detector not only helped him win the science fair but also helped him find $6.20 in nickels and dimes yesterday morning. If boris found 14 more dimes than nickels, how many nickels did he find
Answer:
32 Nickels
Step-by-step explanation:
Given
Coins: Nickels (N) and Dimes (D)
$0.05 = 1 nickel and $0.10 = 1 dime
So, the amount implies:
[tex]0.05N + 0.10D = 6.20[/tex]
The number of coin implies:
[tex]D = 14 + N[/tex]
Required
Determine the number of nickels found
Substitute 14 + N for D in [tex]0.05N + 0.10D = 6.20[/tex]
[tex]0.05N + 0.10(14 + N) = 6.20[/tex]
[tex]0.05N + 1.4 + 0.10N = 6.20[/tex]
Collect Like Terms
[tex]0.05N + 0.10N = 6.20 - 1.4[/tex]
[tex]0.15N = 4.8[/tex]
Solve for N
[tex]N = 4.8/0.15[/tex]
[tex]N = 32[/tex]
Hence, he found 32 nickels
please answerrrr, its not that hard i dont think lol, i j dont know it :)
Not a function.
It's conic section parabola. It's just a relation.
Steven charges the following for repairing washing machines:
£24 call-out charge + £14 for each half-hour he spends on the repair
if a repair costs a customer £66, how long did it take?
Write the slope intercept
Answer:
It would be 2x -5=y
Step-by-step explanation:
The equation for the two points is 2x -5=y so the slope intercept would be 2x -5=y
An adult ticket to a school play cost $5 and a student ticket cost $3. $460 dollars was collected and 120 tickets were sold. How many student tickets were sold?
A rancher raises five as many cows as horses. If he has 168 cows and horses, how many cows does he have? Complete the equations below, and then use substitution to solve. Let c represent the number of cows and h represent the number of horses Equation 1: c=_h Equation 2: c+h=_
Answer:
There are 28 horses and 140 cows
Step-by-step explanation:
Given
Animals: Cows and Horses
Represent Cows with c and Horses with h
For the first equation, we complete it as thus:
[tex]c = 5h[/tex]
This is so because there are 5 times as many c as h
The second equation will be completed as:
[tex]c + h = 168[/tex]
This is so because the total animals are 168
So, we have:
[tex]c = 5h[/tex]
[tex]c + h = 168[/tex]
Substitute 5h for c in the second equation
[tex]c + h = 168[/tex]
[tex]5h + h = 168[/tex]
[tex]6h= 168[/tex]
Solve for h
[tex]h = 168/6[/tex]
[tex]h = 28[/tex]
Recall that:
[tex]c = 5h[/tex]
[tex]c = 5 * 28[/tex]
[tex]c = 140[/tex]
Hence, there are 28 horses and 140 cows
If -3d + 5 = -3 , then 3d - 9 =
Answer:
-3d+5=-3 is d=8/3
3d-9 is (d-3)
Step-by-step explanation:
A credit card company charges a late fee of 25 dollars each time a
customer fails to pay on time. A customer missed the payment 4
times last year. At the customer's request and out of courtesy, the
credit card company decides to cancel all late fees for that year.
Write a numerical expression to show how much money was
returned.
Answer:
25 x 4 = 100
25 = late fee
4 = times payment missed
100= total money owed / total money returned
Step-by-step explanation:
i need help with this
SOLVE: 1/4 (20-4a)=6-a (show work please)
Answer:
a = 2
Step-by-step explanation:
1/4 (20-4a)=6-a
5 - 1 = 6 - a
4 = 6 - a
a = 6 - 4
a = 2
:) Hope this helps, please mark as brainliest!
evaluate the expression. |9|
Answer:
The answer is 9.
The sign | | means absolute value
Answer:
9
General Formulas and Concepts:
Algebra I
|Absolute Value| - changes any number positiveStep-by-step explanation:
Step 1: Define
|9|
Step 2: Evaluate
9
What is the rate of change of y with respect to x for 25x-4y=50
Answer:
The rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]
Step-by-step explanation:
Given
[tex]25x - 4y = 50[/tex]
Required
Determine the rate of change of y w.r.t x
[tex]25x - 4y = 50[/tex]
First, make y subject of formula
[tex]4y = 25x- 50[/tex]
Divide through by 4
[tex]y = \frac{25x}{4} - \frac{50}{4}[/tex]
[tex]y = \frac{25x}{4} - 12.5[/tex]
Next, we differentiate the above w.r.t to x
The result of the differentiation is the solution to the question
[tex]y' = 1 * \frac{25x^{1-1}}{4} -0[/tex]
[tex]y' = 1 * \frac{25x^0}{4}[/tex]
[tex]y' = 1 * \frac{25*1}{4}[/tex]
[tex]y' = \frac{25}{4}[/tex]
Hence, the rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]
By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4
What is derivative?Rate of change of a function with respect to a variable is called derivative of that function with respect to that variable .
Here given relation is 25x-4y=0
[tex]\Rightarrow 4y=25x\\\\\Rightarrow y=\frac{25x}{4}[/tex]
We have to calculate rate of change of y with respect to x so we will calculate derivative of y with respect to x.
we can calculate derivative of y with respect to x as
[tex]\frac{dy}{dx}= \frac{d}{dx} (\frac{25x}{4})\\\\[/tex]
As 25/4 is constant we can take it out from derivative function as it is
[tex]\frac{dy}{dx}= (\frac{25}{4})\frac{dx}{dx}\\\\[/tex]
And we know derivative of a variable with respect to itself is 1
so
[tex]\frac{dy}{dx}= (\frac{25}{4})\times 1\\\\ \frac{dy}{dx}= \frac{25}{4}[/tex]
By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4
To learn more about derivative visit: https://brainly.com/question/25081524
The point-slope form of the equation of the line that passes through (-5, -1) and (10,-7) is
Y+ 7 = -
-- (x-10). What
is the standard form of the equation for this line?
O 2x - 5y = -15
2x - 5y = -17
2x + 5y = -15
2x + 5y = -17
Save and Exit
Answer:2x-5y=-15
Step-by-step explanation:
45 Minutes+35 minutes+35 minutes=
Put it in hour and minutes not just minutes
Answer:
1 hour 55 minutes
Step
Answer:
1:55..
Step-by-step explanation:
Matilda is selling hand-painted vases at a craft fair. She will
have to pay $200 to rent a booth at the fair. The cost of the
paint and other materials to create each vase is $5.50. She is
going to sell each vase for $14.00.
Part 1. Write an inequality to represent the situation in which
Matilda makes a profit. You must define any variable(s) you
use.
Part 2. How many vases must Matilda sell to make a profit?
Explain your reasoning.
Answer:
14x>200+5.5, She must sell 15 or more vases
Step-by-step explanation:
14x>200+5.5
14x>200+5.5
14x>205.5
x>14.68*
She must sell 15 or more vases
*You round up because you cannot sell a partial vase
Answer:
14v > 200 + 5.50v, she will have to sell 24 vases to make a profit
Step-by-step explanation:
It costs $5.50 PER VASE for materials, so you would subtract this from what she sells each vase for. 14 - 5.50 = 8.50. She makes an $8.50 profit per vase sold. We can write 8.50n > 200 to show her profit margin minus the booth fee. If she sold 24 vases, she would be making a profit and this would represent the lowest amount of vases she can sell to make a profit. We can write the inequality 24 ≤ n to show that she can sell 24 vases or more to make a profit.
14n > 200 + 5.50n
336 > 332, true
n > 23
Hope This Helps!
Which piecewise function is shown in the graph?
Answer:
The piecewise function is shown in the graph is
f(x) = -0.5x + 1, x < 0 2x - 2, x ≥ 0 ⇒ AStep-by-step explanation:
At first, you must find the equation of each line
The form of the equation of the line is f(x) = m x + b, where
m is the slope of the line which = Δy/Δxb is the y-intercept which is the y-coordinate of the point of intersection between the line and the y-axisFrom the graph
∵ The line to the left intersects the y-axis at point (0, 1)
∴ b = 1
∵ The line passes through points (0, 1) and (-2, 2)
∴ Δx = -2 - 0 = -2
∴ Δy = 2 - 1 = 1
→ Use them to find the value of m
∵ m = Δy/Δx
∴ m = [tex]\frac{1}{-2}[/tex]
∴ m = -0.5
→ Substitute the values of m and b in the form of the equation above
∴ f(x) = -0.5x + 1
∵ The domain of the function is the values of x
∵ The line starts with an empty circle
→ That means x = 0 does not belong to the domain
∴ The sign of inequality is < without equal
∴ The domain of f(x) is x < 0 ⇒ all values less than 0
∵ We have only one answer has f(x) = -0.5x + 1, x < 0
∴ The graph represents the first answer A
∴ The piecewise function is shown in the graph is
f(x) = -0.5x + 1, x < 0 2x - 2, x ≥ 0Answer:
a
Step-by-step explanation:
write in slope form 2y = 24
Answer:
y = 12
Step-by-step explanation:
The equation of the expression is given as;
2y = 24
We are to write in slope form';
In slope form, an equation is expressed as;
y = mx + c
where y and x are the intercept
m is the slope
c is the intercept
Now to write 2y = 24 in intercept form, we have;
2y = 24
divide both sides by 2;
y = 12
Evaluate 2y²(x + y) when x = 1 and y = 5.
Answer:
300
Step-by-step explanation:
Evaluate 2 y^2 (y + x) where x = 1 and y = 5:
2 y^2 (y + x) = 2×5^2 (1 + 5)
Hint: | Evaluate 1 + 5.
1 + 5 = 6:
2×5^2×6
Hint: | Evaluate 5^2.
5^2 = 25:
2×25×6
Hint: | Multiply 2 and 25 together.
2×25 = 50:
50×6
Hint: | Multiply 50 and 6 together.
50×6 = 300:
Answer: 300
Solve the following equation by combining like terms:
4y - 2y = 18
Answer:
y = 9
Step-by-step explanation:
Collect the like terms:
2y = 18
Divide both sides by 2 to make y on its own
y = 9
whats the answer im stuck ( -___-)
Answer:
(6r+7)+(13+7r)=13r+20
(13-1/2r)-(1-r)=12-1/2r
(-8-r)+(2r-4)=-12+r
Last one is r-13/6
Step-by-step explanation:
4y - 9 - 6y = 2(y + 5) - 3 solve for y
