Answer:
The answer is " [tex]\bold{\frac{7}{2}}[/tex]"
Step-by-step explanation:
Given value:
[tex]\to f(x)=4x+3x^2-x^3\\\\\to g(x)=0[/tex]
Find:
area=?
calculation:
[tex]\ Area = \int_{-1}^{0} -(4x+3x^2-x^3) dx + \int_{0}^{1} (4x+3x^2-x^3) dx \\\\[/tex]
[tex]= -(2x^2+x^3- \frac{x^4}{4})_{-1}^{0} + (2x^2+x^3- \frac{x^4}{4})_{0}^{1}\\\\\\= -( 2x^2+x^3- \frac{x^4}{4})_{-1}^{0} + (2x^2+x^3- \frac{x^4}{4})_{0}^{1}\\\\\\= ( 2- 1 -\frac{1}{4}) + (2+1- \frac{1}{4})\\\\\\= ( \frac{8-4-1}{4}) + (\frac{8+4-1}{4})\\\\= ( \frac{3}{4}) + (\frac{11}{4})\\\\= \frac{3}{4} + \frac{11}{4}\\\\= \frac{11+3}{4}\\\\= \frac{14}{4}\\\\= \frac{7}{2}\\\\[/tex]
Brett gets 5.3% Commission on all of his sales. If he makes $5500 in a week,
what is his commission for the week
Answer:
291.5
Step-by-step explanation:
5500×5.3
that's pretty much it lol
Given f(x) = |x| and g(x) = 2x-3. Solve for (f ⚬ g)(x)
Step-by-step explanation:
(f o g)(x)
= f(g(x))
= f(2x - 3)
= |2x - 3|
V=1/3(pie)r(squared)h Need to isolate h.
Answer:
[tex]\frac{v}{\frac{1}{3}\pi^{2}}=h[/tex]
Step-by-step explanation:
Divide V by everything you don't need on the right side.
So, You should end up with
[tex]\frac{v}{\frac{1}{3}\pi^{2}}=h\\[/tex]
Write the expression as the sine cosine or tangent of an angle calculator.
Answer:
hello your question is incomplete here is the complete question
write the expression as the sine, cosine, or tangent of an angle.
[tex]sin 60 cos 15 + cos 60 sin 15[/tex]
answer : [tex]sin 60 cos 15 + cos 60 sin 15 = sin 75[/tex]
Step-by-step explanation:
To write the expression as the sine,cosine or tangent of an angle we will employ the trigonometry identity
[tex]sin 60 cos 15 + cos 60 sin 15[/tex] can be represented in the form of ;
sin( u + v ) = sin u cos v + cos u sin v --------- (1)
comparing equation 1 with the given expression
u = 60 and v = 15
therefore writing the expression in the form of the sine of an angle would be the answer
= sin( 60 + 15 ) = sin 60 cos 15 + cos 60 sin 15
hence sin ( 75 ) = sin 60 cos 15 + cos 60 sin 15
a rectangular with a perimeter of 32 cm has a base of x-3 cm and a height of 2x+7 cm what are the length in cm of the rectangle base an height
Answer:
Step-by-step explanation:
Perimeter = 32
length = x - 3
width = 2x + 7
Perimeter = 2* Length + 2* width
Perimeter = 2*(x-3) + 2(2x + 7) = 32 Remove the brackets.
2x - 6 + 4x + 14 = 32 Combine
6x + 8 = 32 Subtract 1 from both sides
6x = 32 - 8
6x = 24 Divide by 6
x = 24/6
x = 4
So the base = x - 3 = 4 - 3 = 1
The height = 2*4 + 7 = 8 + 7 = 15
A gallon of gas cost $2.16. Rob buys 13.5 gallons of gas. How much did he pay?
Answer:
$29.16
Step-by-step explanation:
Each gallon of gas is $2.16.
13.5 gallons of gas is 2.16 (13.5) = $29.16.
f(x)=3x 2 +16 Find f(-1)
Answer:
X-18/3
Step-by-step explanation:
Assuming you meant 3x+18
The inverse f(-1) of the equation is above.
Solve for x: 4(x + 3) - 2 = 14
Answer:
X = 1
Step-by-step explanation:
4(x + 3) - 2 = 14
4x + 12 - 2 = 14
4x + 10 = 14
4x = 4
x = 1
Answer:
x = 1
Step-by-step explanation:
4(x+3) - 2 = 14
4x + 12 - 2 = 14
4x +10 = 14
4x = 14 - 10
4x = 4
x = 4/4
x = 1
To one decimal place, 93 must lie between
and
Answer:
9.3
Step-by-step explanation:
To move one decimal you move one digit left.
The water level in a pool drops 8 iches in a day so what is the average level drop in each hour
What number must be added to 36 to obtain −17?
28=8k+12-7k I HAVE 1 minute to answer this and show work QUICK PLEASE
Answer:
Step-by-step explanation:
16=k
The value of k from the given equation is 16.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 28=8k+12-7k.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, 28=k+12
k=28-12
k=16
Therefore, the value of k from the given equation is 16.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Given g(x)=−2x2+1, find the indicated values: g(-4)
11.
- 2x + y -z= 2
-x-3y + z = -10
3x + 6z= -24
I need help and it’s due today
Answer:
45
Step-by-step explanation:
Neil are 99% of the pizza. Did Neil eat the Entire Pizza? Yes or No
Answer:
No
Step-by-step explanation:
100 - 99 = 1.
He left 1% of pizza.
Therefore, the answer is no.
Answer:
no ◇◇
Step-by-step explanation:
I hoped I helped ◇◇
expressions that are equivalent to -8.
Answer:
f(1)=5x-13=-8
Step-by-step explanation:
5-13=-8
or
f(1)=5x-13=-8
In order to isolate the variable term in the equation 6 – 2x = –3 using the subtraction property of equality, which number should be subtracted from both sides of the equation?
–3
–2
3
6
21
Find an equation of the line containing the given pair of points.
(4,5) and (12,8)
what is 100000x 0
asdfssfddkddnssnbsbdbbdbbdbdbbdbbdbdbbbdvvddbdd. dbdbddbdbbbdbbd
Solve the equation and find the value of x. 10(x + 3) - (-9x - 4) = x - 5+ 3
Your answer
Answer:
10(x + 3) - (-9x - 4) = x - 5+ 3
10x+30+9x+4=x-2
19x+34=x-2
19x-x= -2-34
18x=-36
x= -2
. When the process of solving a linear inequality results in the variable being eliminated with a false statement remaining, what does this mean about the solution set of the inequality?
Answer:
No Solution
Step-by-step explanation:
When we solve linear inequalities using any one the methods such as
1) Elimination or
2) Substitution
And we get the variable eliminated with a false statement remaining, this means there is no solution.
In other words the solution does not exist or the solution is not possible in the given range or the values given are false.
But when the values are true we get a solution for the variable solved.
In the elimination method we eliminate the same terms by addition or subtraction after making them equal.
And the substitution method requires putting the values of one variable in place of another.
Find the volume of a cylinder with the height 25cm and radius 5cm
Answer:
= 1963.5cm³
Step-by-step explanation:
radius=5
height=25
V=πr2h=π·52·25≈ 1963.49541cm³
How many 1s are in 20?
Which property does the equation illustrate?
0 +-b= -b?
Answer:
The property the equation illustrates would be the zero property of addition.
Step-by-step explanation:
The additive property of zero states that when you have any number and add zero to it, your answer will always equal the original number.
point a is at (-7,-9) and point b is at (6,3) what is the midpoint of line segment AB
Answer:
(-1/2,-3)
Step-by-step explanation:
(-7,-9) =x1, y1
(6,3) = x2, y2
now,
Mid point= x1+x2 /2 , y1+y2 /2
= -7+6 /2, -9+3 /2
= (-1/2 , -3)
Lina rolled a die.
What is the probability that she got 3?
Answer:
1/6
Step-by-step explanation:
So asuming that she didn't roll a biased die the probability of getting a three is 1/6
This is because the total outcomes are 6 and there is only one three thus the probability that she got 3 is 1/6.
HOPE THIS HELPED
can someone please help me out with this?
Answer:
B. segment AG is congruent to segment OL
Step-by-step explanation:
line g has a slope of 9/5. line h is perpendicular to g. what is the slop of line h?
Answer:
-5/9
Step-by-step explanation:
Note. If the line is parallel, then the slope is shared. If the line is perpendicular (directly opposite), it means to flip the sign as well as the fraction.
The slope of line g is 9/5. This means that the slope of line h, (which is perpendicular to line g), would be the opposite, or -5/9
-5/9 is your answer.
~
A recipe says that 2 cups of dry rice will serve 6 people. How many cups of rice are needed to serve 45 people?
(Please Help)
Answer:
7.5 cups pf rice
Step-by-step explanation:
45 divided by 6